Conway's Game of Life: Mathematics and Construction

Pattern Files for Chapter 3: Oscillators

RLE, Macrocell, or LifeHistory code for all patterns that are displayed as figures in Chapter 3: Oscillators are provided here. These patterns can be viewed in-browser by clicking on the "Show in Viewer" link near the code, or the patterns can be viewed and manipulated by copying and pasting the RLE code into Game of Life software like Golly.

All pattern files from this chapter in a .zip archive file (0.07 Mb)

Figure 3.1(a): Bipole

A period 2 oscillator.
More info: https://www.conwaylife.com/wiki/Bipole

RLE code: Select all

x = 5, y = 5, rule = B3/S23
2o3b$obo2b2$2bobo$3b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.1(b): Jam

A period 3 oscillator.
More info: https://www.conwaylife.com/wiki/Jam

RLE code: Select all

x = 6, y = 7, rule = B3/S23
3b2ob$2bo2bo$o2bobo$o3bob$o5b$3bo2b$b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.1(c): Mold

The smallest period 4 oscillator.
More info: https://www.conwaylife.com/wiki/Mold

RLE code: Select all

x = 6, y = 6, rule = B3/S23
3b2ob$2bo2bo$o2bobo$4bob$ob2o2b$bo!
#C [[ GRID THEME BOOK ]]

Figure 3.1(d): Octagon 2

The first known period 5 oscillator.
More info: https://www.conwaylife.com/wiki/Octagon_2

RLE code: Select all

x = 8, y = 8, rule = B3/S23
3b2o3b$2bo2bo2b$bo4bob$o6bo$o6bo$bo4bob$2bo2bo2b$3b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.2: billiard table start

A 4x3 box for a billiard table.

RLE code: Select all

x = 11, y = 12, rule = B3/S23
3b2obo$3bob2o2$4b3o$3bo3bob2o$3bo3bob2o$2obo3bo$2obo3bo$4b3o2$4b2obo$
4bob2o!
#C [[ GRID THEME BOOK ]]

Figure 3.3(a): Hertz oscillator

A period 8 oscillator found by John Conway's group in 1970.
More info: https://www.conwaylife.com/wiki/Hertz_oscillator

RLE code: Select all

x = 11, y = 12, rule = B3/S23
3b2obo4b$3bob2o4b2$4b3o4b$3bobobob2o$3bo3bob2o$2obo3bo3b$2obo3bo3b$4b
3o4b2$4b2obo3b$4bob2o!
#C [[ GRID THEME BOOK ]]

Figure 3.3(b): Negentropy

A period 2 oscillator that is very similar to the Hertz oscillator.
More info: https://www.conwaylife.com/wiki/Negentropy

RLE code: Select all

x = 11, y = 12, rule = B3/S23
3b2obo4b$3bob2o4b2$4b3o4b$3bobobob2o$3b2o2bob2o$2obo3bo3b$2obo3bo3b$4b
3o4b2$4b2obo3b$4bob2o!
#C [[ GRID THEME BOOK ]]

Figure 3.4(a): Burloaferimeter

A period 7 oscillator.
More info: https://www.conwaylife.com/wiki/Burloaferimeter

RLE code: Select all

x = 10, y = 11, rule = B3/S23
4b2o4b$5bo4b$4bo5b$3bob3o2b$3bobo2bob$2obo3bobo$2obo4bob$4b4o2b2$4b2o
4b$4b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.4(b): Cauldron

A period 8 oscillator found in 1971.
More info: https://www.conwaylife.com/wiki/Cauldron

RLE code: Select all

x = 11, y = 13, rule = B3/S23
5bo5b$4bobo4b$5bo5b2$3b5o3b$obo5bobo$2obo3bob2o$3bo3bo3b$3bo3bo3b$4b3o
4b2$4b2obo3b$4bob2o!
#C [[ GRID THEME BOOK ]]

Figure 3.4(c): p10 billiard table

The first period 10 oscillator to be found. Found no later than 1976, by David Buckingham.
More info: https://www.conwaylife.com/wiki/42P10.1

RLE code: Select all

x = 13, y = 13, rule = b3/s23
5b2o6b$4bo2bo5b$3bo2bo6b$2bob2ob3o3b$2bo2bo4bobo$3bo3bobob2o$3o6bo3b$o
2b5obo3b$3bo4bo4b$4b4o5b2$6b2o5b$6b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.5: Two eaters

A period 3 oscillator that was found in September 1971.
More info: https://www.conwaylife.com/wiki/Two_eaters

RLE code: Select all

x = 9, y = 8, rule = B3/S23
2o7b$bo7b$bobo5b$2b2o5b$5b2o2b$5bobob$7bob$7b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.6: Snacker

A period 9 oscillator consisting of a pentadecathlon with stabilizers that force it into a lower period.
More info: https://www.conwaylife.com/wiki/Snacker

RLE code: Select all

x = 20, y = 11, rule = B3/S23
2o16b2o$bo16bob$bobo12bobob$2b2o12b2o2b$7bo4bo7b$5b2ob4ob2o5b$7bo4bo7b
$2b2o12b2o2b$bobo12bobob$bo16bob$2o16b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.7(a): Confused eaters

A period 4 oscillator found no later than 1972.
More info: https://www.conwaylife.com/wiki/Confused_eaters

RLE code: Select all

x = 11, y = 11, rule = B3/S23
o10b$3o8b$3bo7b$2bo8b$2bo2bo5b$5bo5b$3bobo5b$3b2o2b2o2b$7bobob$9bob$9b
2o!
#C [[ GRID THEME BOOK ]]

Figure 3.7(b): Roteightor

A period 8 oscillator that was found in 1972.
More info: https://www.conwaylife.com/wiki/Roteightor

RLE code: Select all

x = 14, y = 14, rule = B3/S23
bo$b3o8b2o$4bo7bo$3b2o4b2obo$11bo$7bo$6bo$6bo2bo$6b3o$2b2o$bobo5b2o$bo
7bo$2o8b3o$12bo!
#C [[ GRID THEME BOOK ]]

Figure 3.7(c): Period 22 oscillator

The smallest known period 22 oscillator.
More info: https://www.conwaylife.com/wiki/36P22

RLE code: Select all

x = 27, y = 10, rule = b3/s23
2o25b$bo25b$bobo13b3o7b$2b2o3bo8bo3bo6b$6bob2o6bo4bo5b$5bo4bo6b2obo6b$
6bo3bo8bo3b2o2b$7b3o13bobob$25bob$25b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.7(d): Pentoad

A period 5 oscillator found in June 1977.
More info: https://www.conwaylife.com/wiki/Pentoad

RLE code: Select all

x = 13, y = 12, rule = B3/S23
2o$bo$bobo$2b2o$6b2o$6bo$6bo$5b2o$9b2o$9bobo$11bo$11b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.7(e): Dinner table

The first period 12 oscillator to be found. Discovered in 1972.
More info: https://www.conwaylife.com/wiki/Dinner_table

RLE code: Select all

x = 13, y = 13, rule = B3/S23
bo$b3o7b2o$4bo6bo$3b2o4bobo$9b2o2$5b3o$5b3o$2b2o$bobo4b2o$bo6bo$2o7b3o
$11bo!
#C [[ GRID THEME BOOK ]]

Figure 3.7(f): Worker bee

A period 9 oscillator found in 1972.
More info: https://www.conwaylife.com/wiki/Worker_bee

RLE code: Select all

x = 16, y = 11, rule = 23/3
2o12b2o$bo12bob$bobo8bobob$2b2o8b2o2b2$5b6o5b2$2b2o8b2o2b$bobo8bobob$b
o12bob$2o12b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.7(g): honey thieves

A small period 17 oscillator.
More info: https://www.conwaylife.com/wiki/Honey_thieves

RLE code: Select all

x = 15, y = 15, rule = B3/S23
2o$bo$bobo9b2o$2b2o9bo$11bobo$6bo4b2o$5bob2o$5bo3bo$6b2obo$2b2o4bo$bob
o$bo9b2o$2o9bobo$13bo$13b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.7(h): Period 52 oscillator

With a minimum population of 35 cells this is the smallest known period 52 oscillator.
More info: https://www.conwaylife.com/wiki/35P52

RLE code: Select all

x = 17, y = 17, rule = B3/S23
2bo$2b3o$5bo9b2o$4b2o9bo$13bobo$6b3o4b2o$6bo2b2o$6b2o2bo$8b3o3$2b2o$bo
bo$bo9b2o$2o9bo$12b3o$14bo!
#C [[ GRID THEME BOOK ]]

Figure 3.7(i): Period 36 ocillator

A period 36 oscillator, discovered on January 29, 1995.
More info: https://www.conwaylife.com/wiki/22P36

RLE code: Select all

x = 18, y = 14, rule = B3/S23
o$3o$3bo$2b2o2$11b3o$12bo$5bo$4b3o2$14b2o$14bo$15b3o$17bo!
#C [[ GRID THEME BOOK ]]

Figure 3.8(a): eater 2 p6

A period 6 oscillator.

RLE code: Select all

x = 20, y = 17, rule = B3/S23
4bo10bo$3bobo8bobo$3bobo8bobo$b3ob2o6b2ob3o$o13bo4bo$b3ob2o6bo2b3o$3bo
b2o6bo2bo$8bo$8b4o$11bo$3bo2bo6b2obo$b3o2bo6b2ob3o$o4bo13bo$b3ob2o6b2o
b3o$3bobo8bobo$3bobo8bobo$4bo10bo!
#C [[ GRID THEME BOOK ]]

Figure 3.8(b): eater 2 p12

A period 12 oscillator that was found by Matthias Merzenich in December 2015.
More info: https://www.conwaylife.com/wiki/35P12.1

RLE code: Select all

x = 14, y = 14, rule = B3/S23
3b2o$3bo$4b3o$6bo$6bobo$7b2o2$3bob2o3b2o$b3ob2o4bo$o10bobo$b3ob2o5b2o$
3bobo$3bobo$4bo!
#C [[ GRID THEME BOOK ]]

Figure 3.8(c): eater 2 p13

The first period 13 oscillator to be found. Found in 1976.
More info: https://www.conwaylife.com/wiki/65P13.1

RLE code: Select all

x = 25, y = 15, rule = b3/s23
4bo15bo4b$3bobo13bobo3b$3bobo13bobo3b$b3ob2o11b2ob3ob$o23bo$b3ob2o11b
2ob3ob$3bob2o11b2obo3b$10bo3bo10b$11bobo11b$10b2ob2o10b$8bo2bobo2bo8b$
7bobobobobobo7b$7b2o2bobo2b2o7b$11bobo11b$12bo!
#C [[ GRID THEME BOOK ]]

Figure 3.10: Pentadecathlon on snacker

A small period 45 oscillator
More info: https://www.conwaylife.com/wiki/Pentadecathlon_on_snacker

RLE code: Select all

x = 20, y = 20, rule = B3/S23
8b2o$6bo4bo$5bo6bo$4bo8bo$4bo8bo$4bo8bo$5bo6bo$6bo4bo$8b2o$2o16b2o$bo
7b2o7bo$bobo3bo4bo3bobo$2b2o2bo6bo2b2o$5bo8bo$5bo8bo$5bo8bo$2b2o2bo6bo
2b2o$bobo3bo4bo3bobo$bo7b2o7bo$2o16b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.11(a): p3 domino sparker

A period 3 domino sparker found by Noam Elkies.

RLE code: Select all

x = 28, y = 27, rule = B3/S23
13b2o2$3b2o3bob2o4b2obo3b2o$2bo3bobo3b4o3bobo3bo$2bobo5bo2b2o2bo5bobo$
b2o6b2o2b2o2b2o6b2o$o2b3o4b2o4b2o4b3o2bo$2o4b3o3b4o3b3o4b2o$2b3ob3o10b
3ob3o$2o5bo4b4o4bo5b2o$bobo3b2o10b2o3bobo$o2b3o3bo2bo2bo2bo3b3o2bo$b2o
3b2o3b6o3b2o3b2o$2bobo4b2o2b2o2b2o4bobo$2bob2obobo3b2o3bobob2obo$b2o2b
ob5o4b5obo2b2o$o2bo7b6o7bo2bo$b2o3b3o10b3o3b2o$5bob6o2b6obo$4bob2o4bo
2bo4b2obo$4bo6bo4bo6bo$b2obo3b5o2b5o3bob2o$b2obob2obo2bo2bo2bob2obob2o
$5bo2b2o2bo2bo2b2o2bo$6bobo10bobo$4bobobobo6bobobobo$4b2o3b2o6b2o3b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.11(b): Heavyweight emulator

A period 4 oscillator that emits a domino spark, just like the heavyweight spaceship.

RLE code: Select all

x = 16, y = 7, rule = B3/S23
7b2o$2b2obo4bob2o$2bo10bo$3b2o6b2o$3o2b6o2b3o$o2bo8bo2bo$b2o10b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.11(c): Fumarole

A period 5 oscillator that emits a domino spark.

RLE code: Select all

x = 8, y = 7, rule = B3/S23
3b2o$bo4bo$bo4bo$bo4bo$2bo2bo$obo2bobo$2o4b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.11(d): Ellison's p4 HW emulator

A period 4 oscillator that emits a rather isolated domino spark.

RLE code: Select all

x = 24, y = 9, rule = B3/S23
11b2o$4bo3bo6bo3bo$3bobo12bobo$3bobo12bobo$2obobob10obobob2o$2obo16bob
2o$3bo16bo$3bobo4b2obo4bobo$4b2o4bob2o4b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.11(e): p6 domino sparker

A period 6 domino sparker found by Noam Elkies.

RLE code: Select all

x = 18, y = 9, rule = B3/S23
2b2o$6bo$4bo2bobob2o2b3o$o2b3obob3obobo$o4bobo8b2o$b4o3b5obobo$12bobob
o$3b2o5bobob2o$3b2o5b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.11(f): Heavyweight volcano

A period 5 oscillator that emits a rather isolated domino spark.
More info: https://www.conwaylife.com/wiki/Heavyweight_volcano

RLE code: Select all

x = 24, y = 17, rule = B3/S23
11b2o2$4bo3bo6bo3bo$2b3o2bo8bo2b3o$bo3b3o3b2o3b3o3bo$bob2ob5o2b5ob2obo
$2obo6b4o6bob2o$bo2b5obo2bob5o2bo$bo7b2o2b2o7bo$2b3ob2obo4bob2ob3o$4bo
bo2bo4bo2bobo$4bo2bobo4bobo2bo$5bobob6obobo$4b2ob2o2b2o2b2ob2o$7bo8bo$
7bobo4bobo$8b2o4b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.11(g): Hebdarole

A period 7 oscillator that emits a domino spark.
More info: https://www.conwaylife.com/wiki/Hebdarole

RLE code: Select all

x = 24, y = 19, rule = B3/S23
11b2o$4b2o3bo4bo3b2o$bo2bo2bobo4bobo2bo2bo$obobob2obo4bob2obobobo$bo2b
o2bobob2obobo2bo2bo$4b2o4bo2bo4b2o$11b2o$7bo2bo2bo2bo$6bob2o4b2obo$7bo
8bo2$3b2o14b2o$3bo2b4o4b4o2bo$4bobobobo2bobobobo$3b2obo3b4o3bob2o$7b2o
6b2o$9b2o2b2o$9bo2bobo$10b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.11(h): Figure eight

A period 8 oscillator that emits some domino sparks.
More info: https://www.conwaylife.com/wiki/Figure_eight

RLE code: Select all

x = 10, y = 10, rule = B3/S23
2b2o2$o3bo$o4bo$2bobobo$3bobobo$4bo4bo$5bo3bo2$6b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.12(a): p5 pipsquirter

A period 5 pipsquirter oscillator.

RLE code: Select all

x = 21, y = 11, rule = B3/S23
10bo$10bo2$4b2o2bobobo2b2o$4bo3b5o3bo$5b3o5b3o$7bo5bo$2ob5o2bo2b5ob2o$
bobo2bo2bobo2bo2bobo$bo2bo5bo5bo2bo$2b2o13b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.12(b): p6 pipsquirter

A period 6 pipsquirter oscillator found by Noam Elkies in 1997.
More info: https://www.conwaylife.com/wiki/Pipsquirter_1

RLE code: Select all

x = 15, y = 14, rule = B3/S23
5bo$5bo2$3bo3bo$b3obob3o$o3b2o4bo$ob2o2b2obobo$bo2b2o2b2obo$2b2o2b2obo
bob2o$4bo2bobobob2o$4b4ob2o$8bo$6bobo$6b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.12(c): p7 pipsquirter

A period 7 pipsquirter found by Noam Elkies.
More info: https://www.conwaylife.com/wiki/Pipsquirter_2

RLE code: Select all

x = 22, y = 13, rule = B3/S23
5bo$5bo7bo$10bo2b3o3b2o$3bo3bo2b3o3bo2bo$b3obob3o4b2obobo$o4bo4b4obobo
2b2o$2ob2ob3o8b2obo$4bobo3b2obobo4bo$4bobobo4b2obobob2o$3b2obob4o6bobo
$7bo4b6o2bo$8bo2bo3bo4b2o$7b2o2b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.13(a): Fountain

A period 4 oscillator found in June 2000. It is a smaller variant of a fountain originally found by Dean Hickerson in November 1994.
More info: https://www.conwaylife.com/wiki/Fountain

RLE code: Select all

x = 15, y = 13, rule = B3/S23
7bo2$3b2o5b2o$b2o4bo4b2o$5b2ob2o$bobo7bobo$bo2bobobobo2bo$5obobob5o$o
4bo3bo4bo$b3obobobob3o$3bob2obo2bo$8bobo$8b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.13(b): Middleweight volcano

A period 5 oscillator found in April 1992 that produces sparks much like a middleweight spaceship.
More info: https://www.conwaylife.com/wiki/Middleweight_volcano

RLE code: Select all

x = 13, y = 13, rule = B3/S23
6bo$4bo3bo2$3bo5bo$b3ob3ob3o$o3b2ob2o3bo$ob3obob4o$bo$3bobobob2obo$2b
2ob3obob2o$3bobo2bo$3bo2b2o$2b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.13(c): sparky p7

A sparky p7 oscillator.

RLE code: Select all

x = 15, y = 11, rule = B3/S23
4b2o3b2o$2b3obobob3o$bo2bobobobo2bo$o3bobobobo3bo$6bobo$bo4bobo4bo$3b
3o3b3o3$3b2o5b2o$3b2o5b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.13(d): Superfountain

A period 4 sparker with a lone spark separated from the rest of the oscillator by two full rows of dead cells.
More info: https://www.conwaylife.com/wiki/Superfountain

RLE code: Select all

x = 23, y = 18, rule = B3/S23
11bo3$5bo2bo5bo2bo$3b2o2bob5obo2b2o$5bo11bo$3bob2o9b2obo$bobo3b3o3b3o
3bobo$3obo13bob3o$10bobo$4b3o3bobo3b3o$4bo2bo3bo3bo2bo$3b4o2bobobo2b4o
$3b2o2b3obob3o2b2o$2bo3bo3bobo3bo3bo$3bo2bobobobobobo2bo$4bobob2o3b2ob
obo$5bo11bo!
#C [[ GRID THEME BOOK ]]

Figure 3.13(e): middleweight supervolcano

A period 5 sparker called the middleweight supervolcano.

RLE code: Select all

x = 25, y = 26, rule = B3/S23
12bo$10bo3bo3$11bobo$3b2o2b4obob4o2b2o$3bo2bo3b5o3bo2bo$2obob2o11b2obo
b2o$bobo3b3o2bo2b3o3bobo$bob2o2b2obobobob2o2b2obo$2obo2bo3bobobo3bo2bo
b2o$3bobo5bobo5bobo$3bo5bobobobo5bo$bobobobo2b2ob2o2bobobobo$ob2ob2o
11b2ob2obo$o5bo11bo5bo$b2ob3o3b2ob2o3b3ob2o$2bobo2bo3bobo3bo2bobo$2bob
o3bobo3bobo3bobo$b2obo6b3o6bob2o$o2b2ob2o9b2ob2o2bo$bo3bo3b7o3bo3bo$2b
2o2b4o2bo2b4o2b2o$4b2o13b2o$4bo2bo9bo2bo$6b2o9b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.13(f): Middleweight emulator

A period 4 oscillator that produces sparks similar to those of the middleweight spaceship.
More info: https://www.conwaylife.com/wiki/Middleweight_emulator

RLE code: Select all

x = 15, y = 7, rule = B3/S23
7bo7b$2b2obo3bob2o2b$2bo9bo2b$3b2o5b2o3b$3o2b5o2b3o$o2bo7bo2bo$b2o9b2o
!
#C [[ GRID THEME BOOK ]]

Figure 3.13(g): Blocker

A period 8 oscillator.
More info: https://www.conwaylife.com/wiki/Blocker

RLE code: Select all

x = 10, y = 5, rule = B3/S23
6bobob$5bo4b$2o2bo4bo$2obo2bob2o$4b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.13(h): rattlesnake

A period 11 sparker called the rattlesnake.

RLE code: Select all

x = 15, y = 13, rule = B3/S23
4b2o$5bo$4bo$4b2o$7bo$4b3o2bo$3bo2bo$2bobo$2bo2bo5bob2o$2ob2obo4b2obo$
bobo4bo$bobo$2bo!
#C [[ GRID THEME BOOK ]]

Figure 3.13(i): Kok's galaxy

A period 8 oscillator that was found in 1971.
More info: https://www.conwaylife.com/wiki/Kok's_galaxy

RLE code: Select all

x = 13, y = 13, rule = B3/S23
3bo2bo$7bo$8b2o$2bob2o6bo$2bo2bo3bo$bo3bob3o$o11bo$3b3obo3bo$3bo3bo2bo
$o6b2obo$3b2o$5bo$6bo2bo!
#C [[ GRID THEME BOOK ]]

Figure 3.13(j): Unix

A period 6 oscillator that consists of two blocks eating a barge.
More info: https://www.conwaylife.com/wiki/Unix

RLE code: Select all

x = 9, y = 9, rule = B3/S23
2b2o$o2bo3$2obo$2bobo2b2o$3bo4bo$4bo$4bo2bo!
#C [[ GRID THEME BOOK ]]

Figure 3.14(a): Caterer

A period 3 oscillator.
More info: https://www.conwaylife.com/wiki/Caterer

RLE code: Select all

x = 6, y = 8, rule = B3/S23
2bo$2bo$b2obo$4b2o$bo$b2o$2o$3o!
#C [[ GRID THEME BOOK ]]

Figure 3.14(b): T-nosed p4

A period 4 oscillator found in October 1989.
More info: https://www.conwaylife.com/wiki/T-nosed_p4

RLE code: Select all

x = 11, y = 12, rule = B3/S23
5bo$5bo$4b3o4$3b5o$2bob3obo$2bobobobo$b2obobob2o$o2b2ob2o2bo$2o7b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.14(c): p4 thumb

A thumb sparker found in June 2000.
More info: https://www.conwaylife.com/wiki/Thumb

RLE code: Select all

x = 11, y = 11, rule = B3/S23
5bo$b2o3bo$bo5bo$2b3obob2o$7b2obo$6o4bo$o4b5o$3bo$2bob4o$2bobo2bo$3bo!
#C [[ GRID THEME BOOK ]]

Figure 3.14(d): p9 thumb

A period 9 thumb oscillator found in October 1998.
More info: https://www.conwaylife.com/wiki/Thumb_1

RLE code: Select all

x = 13, y = 10, rule = B3/S23
7bo$3b2o3bo$3bo5bob2o$2obobo6bo$2obob2ob4o$3bobo$3bobob3o$4bobo3bo$6bo
2b2o$6b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.15(a): p20 composite

A period 4 thumb and a period 5 fumarole combine to make a period 20 oscillator.

RLE code: Select all

x = 11, y = 19, rule = B3/S23
2o4b2o$obo2bobo$2bo2bo$b2o2b2o$3o2b3o$2bo2bo2$4bo2$b2o3bo$bo3b4o$2b2o
2bo2bo$6b3obo$6o4bo$o4b5o$3bo$2bob4o$2bobo2bo$3bo!
#C [[ GRID THEME BOOK ]]

Figure 3.15(b): p33 oscillator

A period 33 oscillator.

RLE code: Select all

x = 13, y = 20, rule = B3/S23
5bo$4bobo2$4bo$4b2o$b5o4b2o$b2ob2o3bobo$4bo4bo$8b2o$5bo$5bo$10bo$4bo$
5b2o2bo$2obobo2bo$ob2obobobo$6bo2b3o$7b2o3bo$9b3o$9bo!
#C [[ GRID THEME BOOK ]]

Figure 3.15(c): p36 composite

A T-nosed p4 and a period 9 snacker combine to make a period 36 oscillator.

RLE code: Select all

x = 23, y = 20, rule = B3/S23
12bo9bo$12b3o5b3o$15bo3bo$14b2o3b2o$15b5o$16b3o$2o13b5o$obo$2b3o$bo3bo
$b3o2bo2bo2bo$6bob2o$b3o2bo2bo$bo3bo9b5o$2b3o11b3o$obo12b5o$2o12b2o3b
2o$15bo3bo$12b3o5b3o$12bo9bo!
#C [[ GRID THEME BOOK ]]

Figure 3.16(a): Twin bees shuttle

Twin bees shuttle was found in 1971 and is the basis of most known period 46 oscillators.
More info: https://www.conwaylife.com/wiki/Twin_bees_shuttle

RLE code: Select all

x = 29, y = 11, rule = B3/S23
12bo3bo$2o9bo5bo9b2o$2o9bo15b2o$11b2o3bo$13b3o2$13b3o$11b2o3bo$2o9bo
15b2o$2o9bo5bo9b2o$12bo3bo!
#C [[ GRID THEME BOOK ]]

Figure 3.16(b): Buckaroo

A period 30 oscillator based on the queen bee shuttle. The oscillator will still function if the eater is moved closer to the queen bee by one space, but it will lose its ability to reflect gliders.
More info: https://www.conwaylife.com/wiki/Buckaroo

RLE code: Select all

x = 23, y = 9, rule = B3/S23
11b2o$9bo2bo$8bo7b2o$2o6bo6bo$2o6bo$9bo2bo6b2o$11b2o6bobo$21bo$21b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.17: spark glider reflect

Two sparks that can reflect a glider 90 degrees.

RLE code: Select all

x = 15, y = 5, rule = B3/S23
2bo9bo$2bobo7bobo$2b2o8b2o$o8b2o$bo6bo!
#C [[ GRID THEME BOOK ]]

Figure 3.18: honey farm hasslers

A collection of honey farm hasslers arranged by their period. Found by many different authors, starting as early as 1976.
More info: https://www.conwaylife.com/wiki/Honey_farm_hassler

RLE code: Select all

x = 641, y = 456, rule = B3/S23
348b2o$348b2o$340b3o$339bo3bo$314b2o8bo13bo5bo$314b2o6b3o13bo5bo$321bo
16bo5bo160b2o$321b2o5b2o9bo3bo2b2o157bobo$329b2o9b3o3bobo158bo2b2o$
328bo19bo142b2o13b2obobo$318b3o27b2o142bo16bo$317bo3bo170bobo11b4o$
154bo161bo5bo170b2o11bo3b2o100bo7b2o$28bo125b3o160bo3bo185b3o2bo99b3o
5b2o7bo$7b2obo17b3o97b2obo6b2obo15bo17bo112b2obo5b2o19b3o24bo107b2o3b
2o4b2obo41bob2o60b2obo4b2o3b2o18bo8bo11b3o$7bob2o20bo96bob2o6bob2o14b
2o15b3o112bob2o6bo47b2o105b2o3b2o4bob2o19bo21bo63bob2o4b2o3b2o18b3o5b
2o10bo$5b2o4b2o17b2o9b2o89b2o8b2o28bo119b2o3bo47b2o115b2o23b3o18b2o61b
2o4b2o30bo16b2o$5bo5bo29bo90bo9bo19bo9b2o118bo4b2o154b2o3b2o2bo27bo8b
3o69bo5bo3b2o3b2o20b2o6b3o$6bo5bo19b3o4bobo91bo9bo17bobo129bo159bobobo
bo3bo19b2o4b2o7bo3bo69bo5bo2bobobobo27bo3bo$5b2o4b2o18bo3bo3b2o91b2o8b
2o16b2ob2o127b2o3b2o156bobo4b2o20bo12bo5bo67b2o4b2o4bobo28bo5bo$7b2obo
19bo5bo91b2obo6b2obo19bobo3bo120b2obo6bo155b2obo6b2obo16bobo4b3o3bo5bo
69b2obo5b2obo28bo5bo7b2ob2o$7bob2o19bo5bo91bob2o6bob2o20bo3bobo119bob
2o5bo160b2o4bob2o17b2o3bo3bo2bo5bo69bob2o9b2o10b2o14bo5bo7b2obo2bo$5b
2o4b2o17bo5bo89b2o8b2o27b2ob2o122b2o3b2o160bo8b2o19bo5bo2bo3bo3b2o69b
2o8bo9bo2bo2b2o10bo3bo11bob2o$5bo5bo14b2o3bo3bo90bo9bo29bobo123bo165bo
9bo20bo5bo3b3o4bobo68bo8bo11b2o2bobo11b3o12bo$6bo5bo12bobo4b3o92bo9bo
18b2o9bo125bo3b2o23b2o134b2o9bo19bo5bo12bo69bo7b2o12b2o28b2o$5b2o4b2o
12bo100b2o8b2o19bo134b2o4bo22b2o136bo8b2o20bo3bo7b2o4b2o67b2o8bo12bo
26bobo2b2o$7b2obo13b2o9b2o91b2obo6b2obo12b3o15b2o114b2obo5bo25bo24b3o
107bo5b2obo23b3o8bo70b2obo9bo10b2obo26b2o2bo2bo$7bob2o24bo92bob2o6bob
2o12bo17bo115bob2o5b2o48bo3bo106b2o4bob2o15b2o18b3o67bob2o9b2o9bo2bob
2o28b2o$36b3o134b3o170bo5bo130bo21bo93b2ob2o$38bo136bo171bo3bo128b2obo
$319b2o27b3o129bo2b3o$320bo19bo140b2o3bo11b2o122b2o$320bobo3b3o9b2o
143b4o11bobo103b2o16bo$321b2o2bo3bo9b2o5b2o135bo16bo104bo10b2o5b3o$
324bo5bo16bo133bobob2o13b2o100b3o11bo8bo$324bo5bo13b3o6b2o126b2o2bo
116bo7b2o5b3o$324bo5bo13bo8b2o130bobo122b2o7bo$325bo3bo156b2o$326b3o$
319b2o$319b2o2$36bo129b2o16b2o35bo2bo$5b2obo27b3o126bobo16bobo33bo$5bo
b2o30bo9b2o4b2o108bo20bo31b2o$3b2o4b2o27b2o8bobo3bo108b2ob4o12b4ob2o
26bo6b2obo137b2o3bobo$3bo5bo15b2ob2o3b2o13bo8bo104bobobo2bo12bo2bobobo
28bo3bo2bo136bo5bobo$4bo5bo15bobobobobo12b2o6bo2bo103bobob2o2b2o8b2o2b
2obobo28b3obo3bo133bo4bobo2b2obo$3b2o4b2o15bo3bobo7b3o3b2o2bob2o2bob3o
98b2obob2o2b2o2bo6bo2b2o2b2obob2o22bo11bo132b4obob2o4b2o$5b2obo15bobo
3b2o3bo3bo3bo2b2o2b2o2bobo4bo98bobobob2o2b2obo4bob2o2b2obobobo24bo3bob
3o140bobo5b2o230b2o2bo16b2o$5bob2o13b3obo3b3o2bo2bo5bo2bo2b3o3bob3o99b
o2bo4b2o3bo4bo3b2o4bo2bo25bo2bo3bo137b3o2bo4bobob2o113b2o108b2o2b2o3bo
$9b2o10bo4bobo2b2o2b2o2bo3bo3bo3b2o3bobo100b2o3b3obob3o6b3obob3o3b2o
24bob2o6bo134bo4b2o4bo3b3o112bo108b2o7bo14bo3bo$9bo12b3obo2b2obo2b2o3b
3o7bobo3bo109bo3bo10bo3bo37b2o153b2obo6bo103bobo111b4o14bo4bo$10bo13bo
2bo6b2o12bobobobobo72b2obo4b2o3b2o13b6o26b6o27bo13b4o140b3o3b3o104b2o
128bobobo$9b2o14bo8bo13b2o3b2ob2o71bob2o4b2o3b2o12bo2bo3bo4bo14bo4bo3b
o2bo13b2o7bo2bo9b2o7bo144bo8bo58b2o3b2o4b2obo105b2obo6b2obo35bobobo$5b
2obo19bo3bobo8b2o88b2o21b2o3b2o5bo14bo5b2o3b2o9b2obo2bob2o16b2o2b2o3bo
126b2o3b2o11b2o5b3o58b2o3b2o4bob2o105bob2o6bob2o33bo4bo$5bob2o17b2o4b
2o9bo89bo3b2o3b2o17bo28bo14b2o2bo4bo20b2o2bo127b2o3b2o17bo70b2o25b2o
19b4o57b2o4b2o2b2o27b3o7bo3bo$44b3o87bo2bobobobo15bobo28bobo17bo10bo
140b2o8b2o8b3o6b2o60b2o3b2o2bo27bo18b2o2bo57bo5bo3bo27bo3bo$46bo86b2o
4bobo12bo4bobo28bobo4bo13bobo6bobo4bo109bo19b5o2bo6b3o7bo3bo67bobobobo
3bo26bobo3b3o9b2o2bo59bo5bo3bo25bo5bo7b2o$129b2obo5b2obo12b3o5bo5bo14b
o5bo5b3o21bo3bo2bobo106b3o19b4o2bo7bobo6bo5bo68bobo4b2o27b2o2bo3bo9bo
2bo13bo44b2o4b2o2b2o25bo5bo$129bob2o9b2o13bo4bo4bobo12bobo4bo4bo24bo3b
obo3bo58b2obo6b2obo32bo8b2o15b3o3b2o3bo2bo5bo5bo67b2obo6b2obo26bo5bo9b
2o14b3o44b2obo6b2obo21bo5bo$127b2o14bo12bo5bo3b2ob2o10b2ob2o3bo5bo23bo
3bobo3bo58bob2o6bob2o32b2o30b2o4bobo5bo5bo14b2o3b2o50b2o4bob2o26bo5bo
28bo43bob2o6bob2o13b2o7bo3bo$127bo14bo13b2o4bo4bobo12bobo4bo4b2o24bobo
2bo3bo62b2o8b2o38bo3bo26bo7bo3bo15b2o3b2o51bo2b2o4b2o24bo5bo9b2o14b3o
48b2o2b2o4b2o21b3o$128bo13b2o18bo5bo14bo5bo31bo4bobo6bobo54bo9bo28b3o
7bo4bo10b2o23b3o11b2o8b2o50bo3bo5bo26bo3bo9bo2bo13bo50bo3bo5bo11bo3bo$
127b2o14bo15bobo28bobo34bo10bo54bo9bo26bo3bo5bobobo12b2o3b2o6b2o19b5o
2bo6b3o50b2o3bo5bo19b2o5b3o9b2o2bo65bo3bo5bo9bo4bo$129b2obo9bo16bobo
28bobo16bo2b2o20bo4bo2b2o48b2o8b2o25bo5bo3bobobo18b2o6b2o3b2o14b4o2bo
7bobo51bo2b2o4b2o19b2o18b2o2bo63b2o2b2o4b2o8bobobo$129bob2o9b2o17bo28b
o17bo3b2o2b2o16b2obo2bob2o44b2obo6b2obo27bo5bobo4bo32b2o17b3o3b2o3bo2b
o49bo5b2obo42b4o59b2obo6b2obo9bobobo$156b2o3b2o5bo14bo5b2o3b2o12bo7b2o
9bo2bo7b2o48bob2o6bob2o18bo8bo5bobo3bo18bo39b2o4bobo49b2o4bob2o105bob
2o6bob2o7bo4bo14b4o$156bo2bo3bo4bo14bo4bo3bo2bo13b4o13bo65b2o2b2o32bo
3bo24bobo4b2o39bo186bo3bo14bo7b2o$157b6o26b6o29b2o66bo3bo21b3obo8b3o5b
2o18bo2bo3b2o3b3o17b2o94b2o38b2o84bo3b2o2b2o$34b2o130bo3bo10bo3bo35bo
6b2obo61bo3bo19bob2o39bobo7bo2b4o14b2o3b2o6b2o80bobo38bobo66b2o16bo2b
2o$33bobo123b2o3b3obob3o6b3obob3o3b2o31bo3bo2bo60b2o2b2o19b2obo39b3o6b
o2b5o19b2o6b2o3b2o76bo40bo$33bo126bo2bo4b2o3bo4bo3b2o4bo2bo32b3obo3bo
55b2obo6b2obo13bob3o5b2o33b2o8b2o11b3o23b2o83b2o$31b2ob4o122bobobob2o
2b2obo4bob2o2b2obobobo29bo11bo54bob2o6bob2o23b2o33b2o3b2o15bo3bo7bo
101bo$30bobobo2bo23bo10bo86b2obob2o2b2o2bo6bo2b2o2b2obob2o29bo3bob3o
86bo42b2o3b2o14bo5bo5bobo4b2o82b2o7b2o2bo19b2o11b2o$30bobobo26b3o6b3o
89bobob2o2b2o8b2o2b2obobo33bo2bo3bo150bo5bo5bo2bo3b2o3b3o76b2o8bo2bo
18b2o12b2o$b2o4b2o19b2o2bo31bo4bo3b2o87bobobo2bo12bo2bobobo33bob2o6bo
147bo5bo6bobo7bo2b4o84bobo19b5o$2bo5bo18bo4b2o29b2o5b3o2bo87b2ob4o12b
4ob2o40b2o151bo3bo7b3o6bo2b5o84b2o21b4o$bo5bo19b5o10b2o15b2o11bobobob
2obo83bo20bo41bo146b2o6b3o8b2o8b2o$b2o4b2o16b2o4bo10bo16bo13bo2bobob2o
83bobo16bobo37bo2bo148bo17b2o3b2o94b2o21b4o$24bo2b3o4b3o3bobo17bo4b3o
4bo2b2o89b2o16b2o187b3o5b2o11b2o3b2o94bobo19b5o$b2o4b2o14bobobo5bo3bo
2b2o17b2o3bo3bo8bo295bo8bo101b2o8bo2bo18b2o12b2o$2bo5bo15bo2bo4bo5bo
24bo5bobo307b3o3b3o96b2o7b2o2bo19b2o11b2o$bo5bo17b2o5bo5bo5b2o10bo6bo
5bo6bo302bo6bob2o106bo$b2o4b2o23bo5bo4bo2bo14bobo5bo126bo191b3o3bo4b2o
4bo88b2o$29b2o2bo3bo5bobobo7bo8bo3bo3b2o122b3o191b2obobo4bo2b3o81bo40b
o$b2o4b2o19bobo3b3o4b3o2bo9b2o2bo4b3o4bo126bo24b2o167b2o5bobo83bobo38b
obo$2bo5bo19bo10bo4b2o5b2obobo2bo13bo124bo4b2o19bobo166b2o4b2obob4o79b
2o38b2o$bo5bo19b2o10b5o7bob2obobobo11b2o123bob2ob3o21bo167bob2o2bobo4b
o$b2o4b2o28b2o4bo13bo2b3o5b2o127bobobob2o14b2o4b2ob2obo165bobo5bo$38bo
2b2o15b2o3bo4bo129bo9b2o9bobo5b2ob2o165bobo3b2o$36bobobo19b3o6b3o127b
3o7b2o10bo4bo127bo5bo$33bo2bobobo19bo10bo128b3o3bo12bo3bo2bo126b3o3b3o
$33b4ob2o160b3o3b2o13bobob2o125bobobobobobo252b2o9b2o$37bo162b3o4bo9bo
3bo4bo124b2obobobobob2o207b2o5b2obo6b2obo22bo2bo7bo2bo4bo$35bobo163bo
12bobo3bo4b3o106b2o15bob4ob4obo15b2o191bo5bob2o6bob2o22b3o9b3o3bobo$
35b2o177bo6bo4bo108bo15b5o3b5o15bo191bo4b2o4b2o2b2o4b2o23b9o6bobo$173b
2o39bob2o3bobob2o107bo45bo190b2o3bo5bo3bo5bo23bo2b5o2bo4b2obob2o$172bo
bo44bo3bo2bo89b2o15bob3o7bo23bo7b3obo15b2o112b2o64bo5bo3bo5bo22b2o2b3o
2b2o3bo3bobo2bo$172bo38bobo7bo4bo89b2obo6b2o5bo2bo7bobo8b2ob2o8bobo7bo
2bo5b2o6bob2o112bo59b2o3b2o4b2o2b2o4b2o36bob3o3b2o$167bob2ob2o4b2o30bo
2bo5bobo5b2ob2o88bo5bobob2ob2o3bo5bobo7bobobobo7bobo5bo3b2ob2obobo5bo
114bobo60bo3bo5bo3bo5bo42bo$167b2ob2o5bobo9b2o10b3o6bo3bo4b2o4b2ob2obo
85bo10bobobo2b3obo3b2o2b2o6bo3bo6b2o2b2o3bob3o2bobobo10bo55b2o3b2o4b2o
bo41b2o60bo5bo5bo3bo5bo36b2ob3o$172bo4bo10b2o10bo3bo5bo3b2o10bo91bob2o
5b2o3bobo3bobobo2bobo19bobo2bobobo3bobo3b2o5b2obo56b2o3b2o4bob2o103b2o
3b2o4b2o2b2o4b2o37bo$172bo2bo3bo12bo6bo5bo4bo3b2o10bo93b2o3b2obo5bob2o
2bob2obobo19bobob2obo2b2obo5bob2o3b2o67b2o4b2o106bo5bo3bo5bo39b4o$172b
2obobo13b2o6bo5bo4bo3bo4b2o4b2ob2obo93bobo3b2obo2b2obobo2bob2o10bo6b2o
bo2bobob2o2bob2o3bobo63b2o3b2o2bo5bo16b2o8b2o16b2o56b2o4bo5bo3bo5bo42b
o$172bo4bo3bo9bo7bo5bo4bo2bo5bobo5b2ob2o94bo2bo6bobo2b3o5bo9bo5bo5b3o
2bobo6bo2bo64bobobobo3bo5bo14bo2bo7b2o16bo58bo3b2o4b2o2b2o4b2o24b3o11b
4o$171b3o4bo3bobo15bo3bo6bobo7bo4bo100b9o4bo3b2o3bo4bo5bo4bo3b2o3bo4b
9o67bobo4b2o4b2o13bo2bo18b3o3bobo57bo6b2obo6b2obo25bo3bo9bo$172bo4bo6b
o16b3o15bo3bo2bo122bo3bobo9bo88b2obo6b2obo15bo6bo13bo3bo2b2o58b2o5bob
2o6bob2o24bo5bo7b2ob3o$172b2obobo3b2obo29bob2o3bobob2o100b9o4bo3b2o3bo
2b2ob2o8bo3b2o3bo4b9o70b2o4bob2o14bo2bo3bobo11bo5bo106bo5bo12bo$31b2o
10b2o28b2o97bo2bo3bo15b3o16bo6bo4bo99bo2bo6bobo2b3o5bo3bobo9bo5b3o2bob
o6bo2bo70bo2b2o4b2o13b3o3b2o12bo5bo106bo5bo7bob3o3b2o$30bo2bo8bo2bo26b
obo5bo91bo4bo7bobo6bo3bo15bobo3bo4b3o97bobo3b2obo2b2obobo2bob2o5bo5bo
5b2obo2bobob2o2bob2o3bobo68bo3bo5bo34bo5bo107bo3bo8bo3bobo2bo$30b3o2b
6o2b3o26bo7b3o84b2ob2o5bobo5bo2bo4bo5bo7bo9bo3bo4bo93b2o3b2obo5bob2o2b
ob2obobo11bo7bobob2obo2b2obo5bob2o3b2o63b2o3bo5bo13b3o3b2o13bo3bo98bo
10b3o10b2obob2o$33b2o6b2o26b2ob2o4b2o3bo83bob2ob2o4b2o4bo3bo4bo5bo6b2o
13bobob2o91bob2o5b2o3bobo3bobobo2bobo11bo7bobo2bobobo3bobo3b2o5b2obo
62bo2b2o4b2o12bo2bo3bobo13b3o98bobo23bobo$32bo10bo23bo2bo2bo3bobo2b2o
8b2o78bo10b2o3bo4bo5bo6bo12bo3bo2bo90bo10bobobo2b3obo3b2o2b2o17b2o2b2o
3bob3o2bobobo10bo60bo5b2obo15bo6bo115bobo23bobo$b2o4b2obo13b2o6b2obo4b
ob2o23b2o4b2o2bo14bo79bo10b2o3bo5bo3bo10b2o10bo4bo93bo5bobob2ob2o3bo5b
obo21bobo5bo3b2ob2obobo5bo63b2o4bob2o15bo2bo116b2obob2o10b3o10bo$2bo4b
ob2o13bobo10b2o34b5obo5bo4bobo10b2o62bob2ob2o4b2o4bo3bo6b3o10b2o9bobo
5b2ob2o84b2obo6b2o5bo2bo7bobo8bo3bo8bobo7bo2bo5b2o6bob2o85bo2bo23b2o
88bo2bobo3bo8bo3bo$bo9b2o13b3o25b2o17bo3b3o4bobo3b2o5bo5bobo61b2ob2o5b
obo5bo2bo30b2o4b2ob2obo84b2o15bob3o7bo8bobobobo8bo7b3obo15b2o86b2o11b
2o11bobo87b2o3b3obo7bo5bo$b2o8bo13bo3bo9bo13bobo16bo6b2o2bo3bo7b3o7bo
66bo4bo7bobo38bo107bo20b2ob2o20bo117b2o13bo91bo12bo5bo$12bo12b5o3bo4bo
bo10b3o18b2o4b3o2bo3bo6bo3b2o4b2ob2o63bo2bo3bo44bobo108bo43bo133b2o90b
3ob2o7bo5bo$b2o8b2o15b2o3b3obo3bo8bo3bo17bo6b2o2bo3bo6b2o2bobo3bo2bo2b
o61b2obobo3b2obo39b2o108b2o43b2o228bo9bo3bo$2bo4b2obo14b5o3bo3bo3bo4b
5o2b2o18bo3b3o4bobo13bo2b2o4b2o61bo4bo6bo166b5o3b5o241b4o11b3o$bo5bob
2o14bo3bo7bo3bo3b3ob2o22b5obo5bo6bo5bob5o66b3o4bo3bobo12bo153bob4ob4ob
o240bo$b2o2b2o19b3o9bobo5b5o2b2o12b2o4b2o2bo13bobo4b3o3bo67bo4bo3bo9bo
4b3o152b2obobobobob2o241b4o$5bo18bobo12bo10bo3bo12bo2bo2bo3bobo2b2o6bo
3bo2b2o6bo66b2obobo13b2o3b3o153bobobobobobo246bo$b2o3bo17b2o5b2o18b3o
15b2ob2o4b2o3bo6bo3bo2b3o4b2o66bo2bo3bo12bo3b3o154b3o3b3o243b3ob2o$2bo
2b2o24bo10bo10bobo16bo7b3o7bo3bo2b2o6bo66bo4bo10b2o7b3o154bo5bo244bo$b
o5b2obo17b2obobo3b2ob3o11b2o16bobo5bo5b2o3bobo4b3o3bo62b2ob2o5bobo9b2o
9bo400b2o3b3obo$b2o4bob2o17bob2obo3bo2b2o31b2o10bobo4bo5bob5o62bob2ob
2o4b2o14b2obobobo399bo2bobo3bo3b2o2b3o2b2o$33bo5b2ob2o41bo14bo2b2o4b2o
61bo21b3ob2obo401b2obob2o4bo2b5o2bo$33bob4o3bo41b2o8b2o2bobo3bo2bo2bo
61bobo19b2o4bo405bobo6b9o$34bo3bobobo51bo3b2o4b2ob2o64b2o24bo301bo104b
obo3b3o9b3o$35bo3bobo53b3o7bo94b3o252b2obo6b2obo32b3o26bobo74bo4bo2bo
7bo2bo$34b2o4bo56bo5bobo96bo252bob2o6bob2o35bo25b2obo79b2o9b2o$103b2o
348b2o8b2o4b2o32b2o18b2o3b2o3bo$453bo9bo5bo54bo2bo3b2ob2o$288b2obo6b2o
bo32b2o118bo9bo5bo34b3o16bobob3obobobo$288bob2o6bob2o23bo7bobo117b2o8b
2o4b2o15b2o16bo3bo14b2obo5bo2bobo$292b2o2b2o25b3o8bo120b2obo4bo5bo16bo
10b2o4bo5bo16bo3bob2obo2bo$292bo3bo25bo132bob2o5bo5bo16bo9b2o4bo5bo14b
2o9b4o$293bo3bo24b2o135b2o2b2o4b2o13b3obob2o11bo5bo21b3obo$292b2o2b2o
32b3o126bo3bo5bo13bo4bobobo11bo3bo14b2ob2obobobo2b3o$288b2obo6b2obo27b
o3bo126bo3bo5bo11bo2bobo2bobo3bobo6b3o6b3o6bobo3bobo2bobo2bo$288bob2o
6bob2o17b3o6bo5bob2o121b2o2b2o4b2o12b3o2bobobob2ob2o14bo3bo11bobobo4bo
$292b2o8b2o10b2o2bo3bo6bo3bo2b2o117b2obo6b2obo17bob3o21bo5bo11b2obob3o
$292bo9bo11b2obo5bo6b3o122bob2o6bob2o14b4o9b2o14bo5bo4b2o9bo$215b2o76b
o9bo14bo3bo160bo2bob2obo3bo16bo5bo4b2o10bo$215bo76b2o8b2o15b3o162bobo
2bo5bob2o14bo3bo16b2o$23bo137b2o4b2o9b2o27b2o3b2obo72b2obo6b2obo26b2o
155bobobob3obobo16b3o$21b5o51bo83bobo2bobo9b2o27bo4bobo73bob2o6bob2o
27bo156b2ob2o3bo2bo103bo7b2o10bob2o4b2obo$20bo5bo48b5o83bo2bo41b3obo
104bo8b3o159bo3b2o3b2o18b2o82b3o5b2o10b2o2bo2bo2b2o$20bo2b3o13b2o33bo
5bo81bo4bo42bob2o102bobo7bo161bob2o25bo77bo8bo14b2o3bo4bo3b2o$19b2obo
16bo34bo2b3o10b2o70b6o148b2o171bobo26b3o74b3o5b2o13bo3b2ob4ob2o3bo$b2o
2b2obo9bo3b3o11b2obo33b2obo13bo37b2obo6bob2o21b4o20b2o14b2o17bo2b2o
293bo77bo20b3obobo2bobob3o$2bo2bob2o10bobo3bo7b2o3bo33bo3b2o9b2obo9bo
27bob2o6b2obo45bo15bo2b2o5b3o6b2o2bo344b2o3b2o3bob2o12b2o6b3o13bobobo
2bobobo$bo7b2o7b2ob3o2bo4bo41bobo2bo10bo6bo2bobo30b2o2b2o19b2o19b3o4bo
bo16b2obo4bo3bo4b5o346bo4bo3b2obo19bo3bo15bo4bo$b2o6bo16bo4bo40b2ob2ob
2o5bo8b6obo30bo4bo20bo18bo3bo3b2o21bo2bo5bo353bo4bo8b2o16bo5bo15bo2bo$
10bo7b2ob3o2bo4bo4bo42bo4bo8bo7bob2o28bo2bo21bobo4b3o8bo5bo25bo3bo3bo
354b2o3b2o8bo16bo5bo15bo2bo$b2o6b2o8bobo3bo7b2o15bo21b2ob2ob2o5bobo5b
2o2b4obobo27b2o2b2o21b2o3bo3bo7bo5bo21b2obo5b3o5b5o359bo17bo5bo$2bo2b
2obo9bo3b3o23b3o22bobo2bo10bo7bo2bobo9bo15b2obo6bob2o21bo5bo6bo5bo20bo
2b2o14b2o2bo157b2o185b2o3b2o7b2o17bo3bo$bo3bob2o10b2obo12b3o9bo24bo3b
2o10bobo9b2obo6b3o15bob2o6b2obo21bo5bo7bo3bo3b2o16b2o17bo2b2o153b2obob
o186bo4bo5b2o20b3o$b2o6b2o9bo2b3o8bo3bo8b2o24b2obo10bo3bo9bobo5bo16b2o
14b2o19bo5bo8b3o4bobo193bobo187bo4bo7bo$9bo10bo5bo3b2obo5bo34bo2b3o7bo
3bo17b2o15bo16bo15b2o3bo3bo18bo193bo2bo186b2o3b2o5bo15b2o$b2o7bo10b5o
4b2o2bo3bo35bo5bo6bo3bo5b2o28bo14bo15bobo4b3o19b2o191b2obobob2ob2o191b
2o14b2o28b2o$2bo6b2o12bo11b3o6b3o11bo16b5o8bobo6bo6bobo19b2o14b2o14bo
50b2o3b2o163bo3b2o3bobo180b2o3b2o3b2o46b2o$bo3b2obo34bo3bo2b2o4b5o16bo
11bo4b2obobo4bob2o20b2obo6bob2o15b2o20b4o26bobobobo164b3o5bobo109bo71b
o4bo4bo$b2o2bob2o33bo5bob2o3bo5bo33bo2b2o5bobo2bo17bob2o6b2obo36b6o22b
2obobobo169b5obo110b3o68bo4bo4bo40b3o$33b2o8bo3bo8b3o2bo24b2o5bobo7bob
ob4o67bo4bo22bobobo3bo2b2o161b2obo2bo116bo67b2o3b2o3b2o38bo3bo$34bo9b
3o12bob2o24bo5b2o7bobobo72bo2bo27bob2o3bobo159bobob2o2b5o110bo117bo5bo
$31b3o23b3o3bo20b3o15bobobobo57b2o9bobo2bobo24bobo7bo114b2o43bo3bo3bo
4bo108bo4b4o91bo2bo15bo5bo$31bo15b2o7bo3bobo21bo18bo3b2o57b2o9b2o4b2o
24bobo7b2o113bo45b3ob2obob3o97bobo9bobo97bo2bo15bo5bo$45bo4bo4bo2b3ob
2o146bo112bo5bob2obob2o44bo6bo99bo2bo9b2ob3o92bo4bo15bo3bo$50bo4bo267b
3o3b2obobo28bo120bo7bo12b2o90bobobo2bobobo13b3o6b2o$50bo4bo2b3ob2o262b
o7bobo25bobo18bo4bo94bobo2bo2b4o100b3obobo2bobob3o20bo$43bo3b2o7bo3bob
o225b2obo6b2obo23b2o6bobo26bobo10bo3b2o4b2o8b2o85bobo3bo6bo98bo3b2ob4o
b2o3bo13b2o5b3o$42bob2o11b3o3bo224bob2o6bob2o32bo3bo21b2o2b2o8bobobobo
14bo85bo2bo3bob2o12b3o88b2o3bo4bo3b2o14bo8bo$42bo16bob2o229b2o2b2o40bo
22bobo6b2o2bobobo8b3o3bobo59b2obo6b2obo13b3obobobo3bo10bo91b2o2bo2bo2b
2o10b2o5b3o$41b2o13b3o2bo230bo3bo25bo15bo21bo2b3o4bobobobob2o6bo3bo2b
2o60bob2o6bob2o16bobo6b2o9bo9bo81bob2o4b2obo10b2o7bo$55bo5bo231bo3bo
23bobo4b2o30bobo3bo5bobobo3bo4bo5bo61b2o14b2o11b2obo4bobob2o18b2o$56b
5o231b2o2b2o24bo4b2obo30bob3ob2o4b2o5bo4bo5bo61bo15bo12bo2b2o2b2obo3bo
5b3o10bo5bo$58bo229b2obo6b2obo24bo3bo8bo23bo10bo5bo4bo5bo23bo38bo15bo
12b2o11bo4bo3bo5bob2o4b2obo$288bob2o6bob2o25b3o8bobo22bo10bo5bo5bo3bo
23bobo36b2o14b2o14b4o3bo3bo3bo5bo4bo3bob4o2bo$292b2o2b2o4b2o19bo4bo10b
o21bob3ob2o4b2o5bo6b3o8b2o3bo10bobo38b2obo6b2obo14b2o11bo4bo3bo4bob2o
3bobo4bo$292bo3bo5bo20bo36bobo3bo5bobobo3bo17bobobobo8b2o2b2o36bob2o6b
ob2o13bo2b2o2b2obo3bo5b3o8bo3bobob3o$293bo3bo5bo19bo3bo32bo2b3o4bobobo
bob2o20bobobo2b2o6bobo41b2o2b2o17b2obo4bobob2o15bo2bo3bobo$186b2o104b
2o2b2o4b2o22bobo6b2o24bobo6b2o2bobobo20b2obobobobo4b3o2bo40bo3bo21bobo
6b2o14bo3bo5bob2o$185bobo100b2obo6b2obo23bobo7bo24b2o2b2o8bobobobo17bo
3bobobo5bo3bobo41bo3bo17b3obobobo3bo16bo2bo4b2o2bo$180b2o2bo103bob2o6b
ob2o25bobob2o3b3o23bobo10bo3b2o8b3o6bo5b2o4b2ob3obo41b2o2b2o16bo2bo3bo
b2o19bo4b2o3b2o$180bo2bob2o137b2obob2obo5bo23bobo23bo3bo5bo5bo10bo39b
2obo6b2obo13bobo3bo6bo11bo3bo6b3o$182b2obobo139bo35bo23bo5bo4bo5bo10bo
39bob2o6bob2o14bobo2bo2b4o16bo4b2o3b2o$186bo139b2o59bo5bo4bo5b2o4b2ob
3obo66bo7bo18bo2bo4b2o2bo$387bo5bo4bo3bobobo5bo3bobo70bo2bo17bo3bo5bob
2o$384b2o2bo3bo6b2obobobobo4b3o2bo70bobo19bo2bo3bobo$183b3o197bobo3b3o
8bobobo2b2o6bobo82bo12bo3bobob3o$182bo3bo196bo14bobobobo8b2o2b2o80b3o
8bob2o3bobo4bo$181bo5bo194b2o8b2o4b2o3bo10bobo82b3o9bo3bob4o2bo$181bo
5bo202bo4bo18bobo82b3o9bob2o4b2obo$36bo6bo137bo5bo227bo84b3o12bo5bo$
30bo5b3o4bobo21bo114bo3bo2b2o198bo6bo106bo10b2o$29bobo7bo2bobo22b3o17b
2o39b2obo6b2obo28bo12b3o3bobo195b3obob2ob3o98b2obobobo10bo$29bobo6b2o
4bo5b2o18bo13b2o2bo39bob2o6bob2o26b3o20bo194bo4bo3bo3bo97b3ob2obo107b
2o12b2o$b2o3b2o3b2o14b3ob2o17bo18b2o12bobobo44b2o2b2o29bo23b2o194b5o2b
2obobo97b2o4bo104b2o3bo12bo3b2o$2bo3b2o3b2o13bo13b3o5bobo31bo2bob2o43b
o3bo30b2o160b2o61bo2bob2o103bo106bo3bobo4bo3bobo3bo$bo25b3ob2o6bo3bo4b
2o21b3o9b3o3bo43bo3bo35b3o151bo2bo13b2o43bob5o107b3o103bob2obobob3o2bo
bob2obo$b2o3b2o3b2o16bob2o5bo5bo25bo3bo11b3o43b2o2b2o16b2o2bo5b3o8bo
12bo154bo2bo41bobo5b3o106bo104bobobob2o3b3obobobo$6bobobobo25bo5bo24bo
5bo7bo5b3o36b2obo6b2obo12bo2bobo3bo3bo6bo11bobo157bo41bobo3b2o3bo219b
2o$b2o5bobo27bo5bo25bo3bo8bob4o2bo36bob2o6bob2o13bob2o3bo5bo18b2o138b
2obo15bo40b2ob2obobob2o214bob4o2b4obo$2bo4b2obo28bo3bo16bo5b2o3b3o10bo
bobo37b2o8b2o4b2o12bo5bo5bo160bobo2b2o4bo3bobo4b2o41bo2bo210b2o3bobo2b
o2bo2bobo3b2o$bo9b2o20b3o4b3o17b3o3b2o19bo38bo9bo5bo14b2o3bo5bo161bo4b
o3bo3bobo5bobo41bobo210b2o2bo4bo4bo4bo2b2o$b2o9bo19bo3bo26bo19b2o3b3o
36bo9bo5bo14bo4bo3bo163bo7bo4bo9bo38bobob2o214bob2o6b2obo$11bo19bo5bo
24bobobo10b3o3b2o5bo35b2o8b2o4b2o12bo7b3o156b2o6bo2bo5b4o8b2obob2o34b
2o$b2o8b2o18bo5bo21bo2b4obo8bo3bo47b2obo6b2obo14b2o45b2o117bobo23b4o3b
2obo$2bo9bo18bo5bo5b2obo12b3o5bo7bo5bo46bob2o6bob2o52b3o7bo117bobob2o
18bo2bo3b2o246b2o34b2o$bo9bo14b2o4bo3bo6b2ob3o13b3o11bo3bo112bo3bo4bo
120bobobo17bo2bo2b3ob3o243bobo32bobo$b2o8b2o12bobo5b3o13bo11bo3b3o9b3o
112bo5bo3b2o121bo6b3o10b2o5b2o3bo244bo34bo$25bo17b2ob3o13b2obo2bo123bo
5bo5bo107b2o11b2o4bo3bo9b3o5b4o140bo$24b2o5bo4b2o6bobo16bobobo12b2o90b
2o18bo5bo3b2obo105bo2bo2b2o6b3o2bo5bo8b3o4bo4b3o135b3o$31bobo2bo7bobo
15bo2b2o13bo91bobo11bo6bo3bo3bobo2bo104b3o2bobo6b3o2bo5bo8b3o4b2o2bo2b
o134bo8bo96bo12b3o8b3o12bo$30bobo4b3o5bo16b2o17b3o88bo12bo8b3o5bo2b2o
107b2o9b3o2bo5bo8b2o10b2o123b2o10b2o5b3o95bobo10bo3bo6bo3bo10bobo$32bo
6bo43bo101b3o125bo2bo8b2o4bo3bo9bo137bo16bo70b2o3b2o3b2o2bob2o10b2o10b
o5bo4bo5bo10b2o$192b2o119b2o3bo5bo7b3o8bobobo48bo16b2o40b2obo4b2o3b2o
13bobo5b3o6b2o70bo3b2o3b2o2b2obo22bo5bo4bo5bo$168b2o23bo122bob2obob2o
18b2obobo47b3o14bobo39bob2o4b2o3b2o14b2o4bo3bo76bo17b2o20bo5bo4bo5bo$
169bo20b3o119bob2obo4bo23bobo50bo10b2obobo37b2o34bo5bo75b2o3b2o3b2o7bo
21bo3bo6bo3bo$169bobo3b3o12bo121b2obob2o3bo4b4o15b2o50b2o10bobobo38bo
9b2o3b2o19bo5bo80bobobobo6bo23b3o8b3o$170b2o2bo3bo137bo9bo4bo8b2o50b2o
18bo41bo8bobobobo19bo5bo75b2o5bobo8b2o$173bo5bo137bobo5bobo3bo7b4o50bo
17b2o40b2o10bobo22bo3bo10b2o65bo4b2obo6b2o24b3o8b3o$173bo5bo138b2o4bob
o3bo7bobo2bo49bobo4b3o7b3o42b2obo5b2obo23b3o12bo64bo9b2o5bo23bo3bo6bo
3bo$40b2o30bo100bo5bo144bo13b2o2bobo49b2o3bo3bo6b3o42bob2o9b2o31b2o2bo
65b2o9bo4bo23bo5bo4bo5bo$39bobo23b2o5b3o99bo3bo145bo18bobo52bo5bo5b3o
46b2o8bo31b2o2b2o74bo5b2o22bo5bo4bo5bo$37b3o18b2o6b3o6bo99b3o146bo2bo
17b2o51bo5bo5b3o46bo8bo38bo63b2o8b2o2b2o12b2o10bo5bo4bo5bo10b2o$36bo3b
o17bo5bo4bo4b2o249b2o17b3o51bo5bo6b2o47bo7b2o31b2ob2o2bo63bo9bo3bo12bo
bo10bo3bo6bo3bo10bobo$36b2ob2o18b3obob4o274bobo53bo3bo8bo46b2o8bo31b2o
b2ob2o62bo9bo3bo14bo12b3o8b3o12bo$61bobo110bo168b2o55b3o7bobobo40b2obo
9bo37bo64b2o8b2o2b2o$62b2o2b3o14b2o5b2o81bobob2o198b2o31b2obobo39bob2o
9b2o12b2o17b2ob3o$62b2o2b3o7b3o4b2o5b2o82b2obo2bo195bobo34bobo67bo16bo
2b2ob2o94bo34bo$33b3o5b3o16bobo3b3o6bo3bo96bo2b2o195bobob2o31b2o68bobo
12bo2bo6bo92bobo32bobo$32bo3bo3bo3bo14bobob2ob3o5bo5bo92bobo201bobobo
7b3o92b2o3b6o3b4ob2obobo92b2o34b2o$31bo5bobo5bo13bobob2ob3o6bo3bo3b3o
3b3o81b2o204bo8bo3bo95bo6bo7bo2bob2o$32bo3bo3bo3bo15bobo3b3o7b3o2bo4bo
bo4bo285b2o6bo5bo93bo8bo3b2obo2bo$27b2o4b3o5b3o4b2o12b2o2b3o17bobo258b
2o5b2o23b3o5bo5bo94bo6bo5bobob2o106bob2o6b2obo$26bobo19bobo11b2o2b3o
11bo3bobobobo3bo252b2o5bobob2o19b3o5bo5bo90b2o3b6o3b3o3bo103b2o2bo4bo
4bo4bo2b2o$26bo9b2ob2o9bo10bobo17bo2bobobobo2bo262bobobo18b3o6bo3bo3b
2o85bobo12bo2b2obo103b2o3bobo2bo2bo2bobo3b2o$25b2o9bo3bo9b2o7b3obob4o
13b3obobob3o252b4o3b5obobo18b3o7b3o4bobo84bo16bo2bo109bob4o2b4obo$37b
3o18bo5bo4bo14b2o3b2o254bo3bobo5b2ob2o17b2o17bo83b2o17b2o116b2o$39bobo
16b2o6b3o278bobobo3bo5bo17bo18b2o210bobobob2o3b3obobobo$40b2o23b2o272b
o6b2o2bo4b4obo16bobobo10b2o215bob2obobob3o2bobob2obo$339b3o5b2o11bo15b
obob2o10bo216bo3bobo4bo3bobo3bo$342bo33bobo14b3o212b2o3bo12bo3b2o$341b
2o34b2o16bo216b2o12b2o2$204bo152b3o$128b2obo6b2obo56b2o3bobo137b3o11b
3o$128bob2o6bob2o57bo3bo2bo135bo3bo5b3o3bo$79bo52b2o2b2o4b2o17bo3bo7b
2o24bob2obobo109b2o23bo5bo3b5obo$79bo52bo3bo5bo17bobo2b3o5bo26bobob2o
111bo2b2o11b3o5bo5bo4b4o2bo$78bobo52bo3bo5bo15bo2bo5bob2obo143bobo2bo
9bo3bo4bo5bo7bob2obo$39bo39bo52b2o2b2o4b2o15bobob4obobobo28b5o112bob2o
bo7bo5bo4bo3bo9bo2bobo$37b3o39bo48b2obo6b2obo16b2o2bo4bo2bo29bo4bo114b
o2b4o4bo5bo5b3o11b2o2bo$36bo42bo48bob2o6bob2o14bo2bo4b3o3bo5b2o22b5o
116bob5o3bo5bo23b2o$22b2ob2o9b2o41bo46b2o8b2o4b2o12b2o6b3o3bob2obo3bo
19b4obobo2bo110bo3b3o5bo3bo162bo$22bo55bobo8bo36bo9bo5bo20bo2bobobo3bo
5bo17bo5bob4o109b3o11b3o161b3o$b2o5bob2o11b2o2bo6bo44bo7b3o37bo9bo5bo
18bob2o2b3ob5o4bo16bo2bo2bo114b3o174bo8bo$2bo5b2obo12b3o6bobo43bo6bo
39b2o8b2o4b2o17bo4b2o3bo6bo3b2o11b2obobobo2b3o288b2o5b3o$bo4b2o16b3o5b
o3bo36b2o11b2o40b2obo6b2obo20b3o3b2obo2b3o2b5o11bob2ob5o2bo128b2o164bo
$b2o4bo15b2o2bo4bo3bo36b2o53bob2o6bob2o22b2obo2bo3bo2b2o5bo14bo4bo131b
o118b2obo6b2obo24b3o6b2o$6bo15bo9bo3bo43bobo85b2o6bo2bo2b3o11b2obob3o
5bo108bo11b2o5b3o115bob2o6bob2o12b2o9bo3bo$b2o3b2o14b2ob2o6bobo44b2o
95b2o2bo3bo8bo2bobobo5b3o3b2o103bob4o4bo2b2o6bo113b2o8b2o14b3obo7bo5bo
$2bo5bob2o22bo3bo27b2o12b2o2bo2b2o89bob2obob3o6b2o10bo5bo2bo101bo5bo3b
obobo121bo9bo14bo4bo7bo5bo$bo6b2obo25bobo6b2ob2o16bo11b3obobob3o88bo2b
ob3o12b3o5b2o4bob2o101b2ob2o5bobo3bo120bo9bo14b3ob2o6bo5bo$b2o9b2o22bo
3bo9bo16bobo3b3o4b2o2bo94b2o2bobobo23b2o105bobob5o3b4o119b2o8b2o16b2o
2bo6bo3bo8b2o$13bo22bo3bo4bo2b2o18b2o2bo3bo4bo101bobo2b2obo10bo11b2o
102bobobo132b2obo6b2obo15b2o7b3o8bobo$b2o9bo23bo3bo5b3o22bo5bo104b2obo
b2ob2o9bobo6b5obo102b2obobo5b2o123bob2o6bob2o16bo18bobob2o$2bo9b2o23bo
bo6b3o22bo5bo13bo4b2ob2o82bobo7bo6b2ob2o12bo105b2o5b2o127b2o8b2o10bo4b
o16b2obobo$bo6bob2o26bo6bo2b2o21bo5bo10bo2b2o7bo82bo2b2o3bo9bo2bo6b7o
241bo9bo11bob4o16bo2bobo$b2o5b2obo38bo21bo3bo6b3obobob2o2bo2b2o84b2o6b
o9b2o7bo6b2o240bo9bo11bo21bobob2o$35b2o9b2ob2o22b3o8b2o2bo2b3o2b3o87b
7o19bo3b2o2bo238b2o8b2o13bo18bo$36bo54b2o3b3o87bo23bo7bobo234b2obo6b2o
bo14b2o18b2ob4o$33b3o40b2o12bo4bo2b2o87bob5o18b2ob2obob2o233bob2o6bob
2o35bo4bo$33bo42bo23bo87b2o22bob2o2bobo266b2o12b2obob3o$77b3o5b2o9b2ob
2o90b2o23bobobo2b2o262b2ob2o2bobo4b6o$79bo6bo101b2obo4b2o5b3o12b3obo2b
o265bob2o2bo3bo$83b3o102bo2bo5bo10b2o6b3obob2obo265b2obob2o4b7o$83bo
105b2o3b3o5bobobo2bo8bo3bo2b2o259b2o5b2o6b2o3bo2bo$194bo5b3obob2o11b3o
2bo2bo6b2o251bo6bob2o3b2obo3bo$199bo4bo14bo5b2o2bo3bo2bob2o244b3o5bobo
b2o3b7o$196bo2b5ob2obo11b5o2b3o2bob2o3b3o242bo7b2o$196b3o2bobobob2o11b
2o3bo6bo3b2o4bo262bo$43bo9bo145bo2bo2bo16bo4b5ob3o2b2obo146b3o113b2o$
43b3o5b3o140b4obo5bo17bo5bo3bobobo2bo98b2o50bo$30b2o14bo3bo14b2o127bo
2bobob4o19bo3bob2obo3b3o6b2o89bob2o46bo3bo$24b2o5bo13b2o3b2o13bo5b2o
126b5o22b2o5bo3b3o4bo2bo73b2o13bo49bobo2bo$25bo3bo37bo3bo126bo4bo29bo
2bo4bo2b2o75b2obo14bo44bo2bobo$25bob4o6b2o8b3o8b2o6b4obo126b5o28bobobo
b4obobo80bo9b2obo39b2o4bo3bo$23b2obo6bo3b3o6bo3bo6b3o3bo6bob2o156bob2o
bo5bo2bo77bo12b2o41b2o4bo$24bobob2obo2b2o4bo4bo5bo4bo4b2o2bob2obobo
125b2obobo26bo5b3o2bobo43b2o3b2o4b2obo21bob2o20b2o20bobo13b3o$24bobob
2o2b2ob7o3bo5bo3b7ob2o2b2obobo124bobob2obo24b2o7bo3bo44b2o3b2o4bob2o
23b2o17bo23b2ob3o26bo$21b2obo16bo3bo5bo3bo16bob2o121bo2bo3bo91b2o4b2o
39bobo2b2o17b3o28b3o$21bo2bobob2o2b2ob7o4bo3bo4b7ob2o2b2obobo2bo122bob
o3b2o81b2o3b2o2bo5bo38bobob3o2bo46bo$22bobobob2obo2b2o4bo6b3o6bo4b2o2b
ob2obobobo124bo87bobobobo3bo5bo37bo2b6o33b3o11b2o$23b2obo6bo3b3o17b3o
3bo6bob2o215bobo4b2o4b2o13b4o9b3o11b2ob2o33bo3bo28b2o$25bob4o6b2o19b2o
6b4obo216b2obo4bo5bo13bo4bob2o4bo3bo9b6o2bo29bo5bo6b3o18b2o$25bo3bo16b
3o18bo3bo220b2o3bo5bo12bo4bo3bo2bo5bo7bo2b3obobo21b3o5bo5bo5bo3bo8bobo
$24b2o5bo13b6o14bo5b2o220bo2b2o4b2o15b2o4bo2bo5bo8b2o2bobo19b3ob2o6bo
5bo4bo5bo6b2ob3o$30b2o12bob2o17b2o225bo3bo5bo13b2o4bo2bo2bo5bo13bo22bo
bo8bo3bo5bo5bo5b3o101bobo$42b3o4bobo240b2o3bo5bo11bo2bo3bo2bo3bo3bo10b
2o17b2o18b3o6bo5bo108bo2bo$41bo3bo2b2ob3o239bo2b2o4b2o11bo2bo4b2o5b3o
30b2o28bo3bo100b2o6b2o10b2o$41b2ob2o4bo3bo237bo5b2obo13bo4b2o59b2o11b
3o101b2o4b2o3bo8b2o$42bobo7bobo237b2o4bob2o13bo3bo4bo57bo72b2obo6b2obo
37b2o5b2o$42bo2bo2b6o262b2obo4bo54b3o28b3o42bob2o6bob2o38bo2bo4bo$43b
2o2bobo108b2o31b2o127b4o5b3o47bo26b3ob2o41b2o8b2o4b2o37bobo$44bob2ob5o
105bo31bo140bo7b2o50b3o13bobo42bo9bo5bo$44bo2bobo2bobo104bob2o25b2obo
136bo3bo3b4o4b2o49bo4b2o52bo9bo5bo$45bo3b2o3bo73b2obo6b2obo18bobo8bo7b
o8bobo136bobo2bo3b3ob2o2b2o45bo3bo4b2o51b2o8b2o4b2o28bo$46b3o2b3o74bob
2o6bob2o20bob2o4bobo5bobo4b2obo136bo2bobo10bo48bobo2bo59b2obo4bo5bo28b
obo$48bo2bo80b2o2b2o4b2o17bobobo5bo7bo5bobobo135bo3bo58bo2bobo61bob2o
5bo5bo13bobo2bobo5bo3bo$132bo3bo5bo14b2o2bo27bo2b2o131bo62bo3bo60b2o4b
2o2b2o4b2o9b2obo2bo2bo2bob2obo3bo10bobo2bobo$133bo3bo5bo13bobob2o2b3o
15b3o2b2obobo132b3o59bo64bo5bo3bo5bo14bobo2bobo5bo3bo6b2obo2bo2bo2bob
2o$132b2o2b2o4b2o10b2obobo4bo3bo13bo3bo4bobob2o192b3o62bo5bo3bo5bo27bo
bo11bobo2bobo$128b2obo6b2obo12bobob2o3bo5bo11bo5bo3b2obobo256b2o4b2o2b
2o4b2o28bo$128bob2o6bob2o14bo6bo5bo11bo5bo6bo260b2obo6b2obo$126b2o14b
2o10bobob2o3bo5bo11bo5bo3b2obobo258bob2o6bob2o$126bo15bo11b2obobo4bo3b
o13bo3bo4bobob2o$127bo15bo13bobob2o2b3o15b3o2b2obobo193bo105bobo$126b
2o14b2o13b2o2bo27bo2b2o146bo45bobo99bo4bo2bo$68b2o58b2obo6b2obo19bobob
o5bo7bo5bobobo148b3o44bo3bo99b2o5b2o$67bo2bo57bob2o6bob2o20bob2o4bobo
5bobo4b2obo148bo46bo3bo95b2o8bo3b2o4b2o$28bo7bo29bobobo89bobo8bo7bo8bo
bo147bo44bo3bo96b2o10b2o6b2o$27bobo4b3o28b3obo89bob2o25b2obo139b4o4bo
31b2o9bo3bo106bo2bo$28bo4bo31b3o16b2o73bo31bo145bobo31b2o10bobo107bobo
$33b2o48bobo72b2o31b2o140b3ob2o45bo$81b3o244b2o4b2o10b2o$b2o5b2obo18b
3o37bo6b2obo3bo241bo2bo16bobo21b2o$2bo5bob2o12b2o3bo3bo35bobo3bo5bob2o
258b2obobo21b2obo25bo$bo4b2o16b2o2bo5bo33b2ob2o2bo5bo125b2o117bo2bo4b
3o6bobobo25bo23b3o$b2o3bo22bo3bo35bobo3bo5bob2o122bobo117bo2bo4bo9bo
27bo8b3o11bo$7bo22b3o37bo6b2obo3bo124bo118bobo4bo8bo2bo6bo15bo2bo7bo3b
o10b2o$b2o3b2o73b3o121b4ob2o117bo14bo8bobo15b2o7bo5bo$2bo5b2obo42b2o
27bobo119bo2bobobo123b3o5bo3bo4bobo24bo5bo$bo6bob2o23b3o16bobo27b2o
124bobo115b2o5bo3bo4bo7b2ob2o23bo5bo6b3o$b2o3b2o4b2o20bo3bo17b3o151bo
2b2o103b2o8b2o4bo5bo3bo10bo25bo3bo6bo3bo$6bo5bo20bo5bo2b2o11bo3bob2o6b
o131b2o6b2o4bo101bo3bo13bo3bo5bobo6b2o26b3o6bo5bo$b2o4bo5bo20bo3bo3b2o
11b2obo5bo3bobo123b2o5b2o8b5o101bobobo14b3o8bo3b2obob2o33bo5bo$2bo3b2o
4b2o21b3o20bo5bo2b2ob2o123bo15bo4b2o96b2obob2o2b2o23b4o2bobo2bo31bo5bo
7b2o99bo$bo6b2obo43b2obo5bo3bobo124bobo16b2o2bo95bo2bobo2b4o6bo16b2o2b
2obob2o20b2o10bo3bo7bo2bo96b3o$b2o5bob2o21b2o20bo3bob2o6bo126b2o17bob
2o97b2obob2o3bo4bobo18bobobo24bo11b3o8bo98bo$34bo4bo16b3o148bo7bo102b
2o6bobo2b2o19bo3bo21b3o23bo92b2o4b2o$31b3o4bobo13bobo150bo6b2o102bo10b
o14b2o8b2o22bo25bob2o88bo2bo$31bo7bo14b2o16b3o99b2o25bo4bobo108b2ob2o
7bo12bo2bo60b2o83b2o2b2obo$70bob3o99bo26bo5bo110bobo4bo3bo161b2o3b2o$
69bobobo95bob2obo25bobo4bo110bobo8bo12bo2bo47bo$69bo2bo96b2obob2o25bo
117bo6bo2bo8bo4bo2bo45bobo10b2o$70b2o118b3o8bo126bo9bo5bobo44bo3bo9b2o
$173b3o13bo3bo14bo117bobobo6b3o5bo44bo3bo$172bo2bo2b3o7bo5bo12bobo115b
obob2o58bo3bo108bo6bo$172b2o3bo3bo6bo5bo6b2o5bo116bobo16b2o42bo3bo108b
obo4b2o$168b2o6bo5bo5bo5bo6b2o123b2o10b2o4b2o43bobo108bo17b2o$162bo5b
2o6bo5bo6bo3bo3b2o136b2ob3o49bo110bobo14b2o$161bobo12bo5bo7b3o2bo2bo
135bobo116bob2o4b2o3b2o21b2o11bo$162bo14bo3bo13b3o136bo4b4o110b2obo4b
2o3b2o22bo$169bo8b3o154bo121b2o37bo8bo13bo$169bo25b2obob2o134bo121bo2b
2o3b2o10b2o17bo6bo2bo10b3o$163bo4bobo25bob2obo131b3o121bo3bobobobo11bo
15bobo7b2o11bo2bo$163bo5bo26bo136bo123b2o4bobo13bobo14bo22bobo$162bobo
4bo25b2o258b2o5b2obo14b2o8bobo27bo$155b2o6bo292bo9b2o21bo3bo17bo$b2o3b
ob2o14bo11bo118bo7bo291bo11bo22bobo17bobo$2bo3b2obo14b3o7b3o115b2obo
17b2o280b2o9bo24bo17bo3bo$bo8b2o15bo5bo118bo2b2o16bobo216b2o59b2o11b2o
14bo27bobo8b2o$b2o8bo14b2o5b2o118b2o4bo15bo216bobo59bo12bo13bobo22bo
14bobo$10bo144b5o8b2o5b2o217bo58bo12bo14bo2bo11b2o7bobo15bo$b2o7b2o18b
3o122bo4b2o6b2o220b4ob2obo54b2o11b2o14b3o10bo2bo6bo17b2o$2bo5b2o19bo3b
o122b2o2bo229bo2bobob2o84bo13bo8bo$bo7bo18bo5bo123bobo233b2o116bo$b2o
5bo20bo3bo124bobobo2bo209b2o18bob2o101bo11b2o$8b2o20b3o126b2ob4o203b2o
5b3o19bo84b2o14bobo$b2o3b2o153bo167bo6bo31bo2bo2bo4bo16b2o3b2o80b2o17b
o$2bo4bo20b2o5b2o124bobo155b2o4b2obobo4bobob2o4b2o21bobo2bob4obo14bobo
bo2bo90b2o4bobo$bo4bo22bo5bo126b2o155bobo3bob2obo4bob2obo3bobo20b2o2b
3obo4bo2bo7b4o2bob2o92bo6bo$b2o3b2o18b3o7b3o277b2obob3obo4b2o2b2o4bob
3obob2o18bobo3bo2bo2bobobo6bobo2b2o$26bo11bo277bo2bo4bob4o6b4obo4bo2bo
18bob2ob2o2bob2ob2o4b2obobobo2b3o5bob2o$314b2o2bob3obo5b5obo2bobob3obo
2b2o14bob2o5b2o4bo6bob2ob5o2bo4bob2o5b2o$315bob2obo3bo2bo6bob2o5bobob
2obo14bobo3bob2o2b3obob3o6bo4bo7bo4bo2bo2bo$315bobo7b3o5bo2b2o2bo3b2o
2bobo14bo2bob2obo2bo2b2ob2o2bo2b2obob3o6b2ob4obo2bobo88b2o3b2o$314b2o
2bobobo5bo4bo6b2o4b2o2b2o14b2o7b2o8bo2bob5o7bobo4bob3o2b2o86bob2o2b2o$
84bo9bo119b2o100bobo11b2o15bobo36b2o14bobo2bo2bo3bobo86bo2bo20b2o$84b
3o5b3o118bo2bo70b2o3b2o4b2obo14bobo28bobo48b2ob2ob2obo2b2ob2obo81b2o4b
2o20bobo$87bo3bo124bo70b2o3b2o4bob2o15bo11b3o16bo49bo4bo4b2o5b2obo80bo
26bo$86bo2bo2bo123bo85b2o24bo3bo66b3obob3o2b2obo3bobo76b3o26b2o$86bo5b
o117bo3bobo70b2o3b2o8bo21b2obo5bo6b2o59b2ob2o2bo2bob2obo2bo76bo$169b2o
38bo3bobo71bobobobo9bo20b2o2bo3bo7b2o38b3o8bo16b2o7b2o106b4o$88bobo78b
obo37bo4bo74bobo10b2o25b3o48bobo7bobo127b3o2bo2bo$89bo81bo23b2o2bo10b
4o74b2obo6b2obo78b3o6bo3bo112b3o10bo3bo3bo$127b2obo6b2obo26b4ob2o21bo
2bobo19b2o70b2o4bob2o78b3o6bo3bo111bo3bo8bo5bo3b3o$75bo5b2o3b2o3b2o3b
2o29bob2o6bob2o26bo2bobobo21bobobo19bo72bo2b2o36b3o43b3o6bo3bo110bo5bo
7bo5bo5bo$69bo4bobo4bobo3b2ob2o3bobo33b2o2b2o4b2o29bobo20b2obob2o8b3o
5bobo71bo3bo27b2o7bo3bo2b2o38b3o7bobo105bo5bo5bo7bo5bo$69b3o2bobo4b3o
3bo3bo3b3o33bo3bo5bo12b2o16bo2b2o17bo3b2o3bo5bo3bo4b2o72b2o3bo26b2o6bo
5bob2o38bobo8bo10b3o93b3o3bo5bo8bo3bo$50bo21bobob2o5bob2o5b2obo36bo3bo
5bo10b4o14b2o4bo15bob2o2b2o7bo5bo78bo2b2o35bo3bo42b3o10bo8bobo96bo3bo
3bo10b3o$27bo20b3o18b3o2bo4bo5bo7bo37b2o2b2o4b2o9bobo2bo15b5o15bobo2bo
bo3bo3bo5bo77bo5b2obo15bo16b3o11bo43bobo7b3o95bo2bo2b3o$27b3o17bo21bo
2bob3o50b2obo4bo5bo10b2o2bobo8b3o3bo4b2o14b3o2b2o7bo5bo77b2o4bob2o14bo
bo28bobo41bo3bo6b3o95b4o$b2o5b2obo18bo16b2o23b2o6bo46bob2o5bo5bo14bobo
6bo3bo5b2o2bo17b2o3bo5bo3bo102bobo15b2o11bobo41bo3bo6b3o127bo$2bo5bob
2o17b2o21b2o11b2o2bo2bo3bo3bo50b2o2b2o4b2o16b2o4bo5bo5bob2o11b5obob2o
8b3o101b2o2b2o4b2o6bo4bo5bobobo2b2o39bo3bo6b3o97b2o26b3o$bo4b2o4b2o38b
o12bo2bobobobobo54bo3bo5bo16b3o4bo5bo5bo14bo2bo2bobo18b2o94bobo2b2o3bo
2b2o2bo5b3o7bobo41bobo7bobo97bo26bo$b2o3bo5bo18b3o16bobo13b2ob2ob4o3bo
4b3o14b2o29bo3bo5bo14bobo5bo5bo4b2o19bo2bo17bo2bo93bob2obobo5b2obo6bo
2bo3bob2obo15b2o7b2o16bo8b3o95bobo20b2o4b2o$7bo5bo16bo3bo9b3o3b2o19bo
4b2o5bo3bo13bo29b2o2b2o4b2o14b2o7bo3bo27b2o18bobo2bo2bo87b2o2bob3obobo
2bob5o5bob3obo2b2o13bo2bob2obo2bo2b2ob2o116b2o20bo2bo$b2o3b2o4b2o15bo
5bo7bo3bo18b4obob2obo5bo5bo4b3o3bobo25b2obo6b2obo26b3o36b3o8b2obob5o
89bo2bo4bob4o6b4obo4bo2bo15bobo3bob2o2b3obob3o131b2o2b2obo$2bo5b2obo
18bo3bo7bo5bo17bo2bobobo2bo5bo5bo3bo3bo2b2o26bob2o6bob2o64bo3bo5bo3b2o
95b2obob3obo4b2o2b2o4bob3obob2o16bob2o5b2o4bo4bo130b2o3b2o$bo6bob2o14b
2o3b3o9bo3bo22bo3b2o6bo5bo2bo5bo6b2o3bo94bo5bo7b2o2b3o94bobo3bob2obo4b
ob2obo3bobo21bob2ob2o2bob2ob2ob2o$b2o3b2o4b2o11bobo16b3o32b2o2bo3bo3bo
5bo5bo2bobobo2bo56b2o32bo5bo3bo3bobo2bobo93b2o4b2obobo4bobob2o4b2o21bo
bo3bo2bo2bobo14b2o$6bo5bo12bo52bobo3b3o4bo5bo5bob2obob4o56bo33bo5bo7b
2o2b2obo103bo6bo30b2o2b3obo4bobo7b5obo2bo8b2o7b2o$b2o4bo5bo10b2o21b2o
29bo13bo3bo5b2o4bo62b3o25b2o4bo3bo5bo3b2o3bo143bobo2bob4ob2o6b3obob2o
2bo2b2ob2o2bo2bob2obo2bo$2bo3b2o4b2o15b2o16bo29b2o14b3o4bo3b4ob2ob2o
59bo24bobo5b3o8b2obob2o144bo2bo2bo4bo7bo4bo6b3obob3o2b2obo3bobo108bo6b
o$bo6b2obo18bo17b3o52bobobobobo2bo83bo19bobobo146b2o5b2obo4bo2b5ob2obo
6bo4b2o5b2obo108bobo4b2o$b2o5bob2o15b3o20bo48bo3bo3bo2bo2b2o82b2o19bob
o2bo151b2obo5b3o2bobobob2o4b2ob2obo2b2ob2obo109bo17b2o$27bo71bo6b2o97b
4o10bo2b2o163b2o2bobo6bobobo2bo2bo3bobo110bobo14b2o$103b3obo2bo93bo4bo
174b2obo2b4o7bo2bo4bob3o2b2o97b2o11bo$86bo7bo5bo4bo2b3o92bobo3bo172bo
2bobobo14bob4obo2bobo99bo$84bob2o5b2obo5b2obobo94bobo3bo173b2o3b2o16bo
4bo2bo2bo105bo8bo13bo$82b3o3bo3bo3b3o4bobo2b3o60b2o29bo183bo19b3o5b2o
88b2o17bo6bo2bo10b3o$82bobo3b2ob2o3bobo4bobo4bo60b2o29bo183b2obo18b2o
95bo15bobo7b2o11bo2bo$82b2o3b2o3b2o3b2o5bo97bo2bo183b2o114bobo14bo22bo
bo$203b2o114b2o65b2obobo2bo111b2o8bobo27bo$90bo227bo2bo64bob2ob4o120bo
3bo17bo$89bobo225bobobo6b2o29b2o29bo125bobo17bobo$317bobob2o4bo2bo8b3o
4bo12bo30bobo124bo17bo3bo$87bo5bo78bo142b2obobo2bo2b2ob2o14bobo12bo30b
2o115bo27bobo8b2o$87bo2bo2bo77b3o141bo2bo3b3o2bobo8bobobo3bo8b2o2b2o
146bobo22bo14bobo$88bo3bo78b3o138b2obo2bobo2bo4bo9b2ob2o12bobo149bo2bo
11b2o7bobo15bo$85b3o5b3o88bo127bo2b2o4b2o13b4o3b2o12bob4o145b3o10bo2bo
6bo17b2o$85bo9bo73b2o3b2o6b3o128b2o4bobo13bo3b2o2bo2bo5bo3bo2bo2bo146b
o13bo8bo$169b2o3b2o5bo133bobobobo13bo6bobobo3bo2bo2bo2bo178bo$181b2o
132bo4bo25bo2b2o175bo11b2o$316b4o7b2o14b2o2bo161b2o14bobo$172bo6bo13b
2o133bo5bo2bo2bo2bo3bobobo6bo150b2o17bo$171bobo4bobo12b2o121b2o7b3o3bo
2bo2bo3bo5bo2bo2b2o3bo160b2o4bobo$173b2o2b2ob2o8b2o6bo3b2o112b2o7bo5b
4obo12b2o3b4o161bo6bo$166b2o5b2o2bo2bo8b3o5bo3bobo132bobo12b2ob2o$166b
2o4b3o3b2o10b2o6b5o130b2o2b2o8bo3bobobo$36b2o6bo118b2o7b3o18b2o4b3o
131bo12bobo$2b2obo5b2o23bo6bobo109b2o5b3o5bo2bo19b2o139bo12bo4b3o$2bob
2o6bo15b2o3b2obo7bo110b2o6b2o6b2o160b2o196b2o3b2o$6b2o3bo16bo4bobo13b
3o114b2o362bob2o2b2o$6bo4b2o16b3obo14bo3bo113b2o361bo2bo$7bo23bob2o12b
o5bo132bo337b2o4b2o$6b2o3b2o23b3o8bo5bo122b2o7b3o337bo$2b2obo6bo22bo3b
o7bo5bo123bo7b3o334b3o$2bob2o5bo22bo5bo7bo3bo121b3o345bo$2o9b2o21bo5bo
8b3o122bo8b2o3b2o$o33bo5bo12b2obo126b2o3b2o$bo9b2o22bo3bo14bob3o$2o10b
o23b3o13bobo4bo$2b2obo5bo31bo7bob2o3b2o126bo$2bob2o5b2o29bobo6bo133bob
o$43bo6b2o132b2o$184b2o$184b3o$185bobo$186b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.19(a): p32 pi hassler

A period 32 oscillator that hassles a pi-heptomino.

RLE code: Select all

x = 20, y = 20, rule = B3/S23
10b2o$10bo$2bob2ob2obo5b2o$2b2obobobo6bo$8bo8bo$16b2o2$16b2o$o9b3o2bob
o$3o7bobo3bo$3bo6bobo4b3o$2bobo14bo$2b2o2$2b2o$2bo8bo$3bo6bobobob2o$2b
2o5bob2ob2obo$9bo$8b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.19(b): 132P37

The second unique p37 oscillator to be found.
More info: https://www.conwaylife.com/wiki/132P37

RLE code: Select all

x = 47, y = 47, rule = B3/S23
18bo$18b3o$21bo$20b2o2$32b2o$32b2o3$22b3o$21bo3bo$15b2o4b2o3bo$15b2o
10bo$5b2o17bo2bo$5b2o20bo$21b2o3bo7b2o$21bo3bo8b2o$22b3o$45b2o$12b3o
30bo$11bo3bo27bobo$10bo5bo13b2o3b2o6b2o$9bo3bo3bo11bobo3bobo$9bo7bo11b
o7bo$9bobo3bobo11bo3bo3bo$2b2o6b2o3b2o13bo5bo$bobo27bo3bo$bo30b3o$2o$
22b3o$11b2o8bo3bo$11b2o7bo3b2o$19bo20b2o$19bo2bo17b2o$19bo10b2o$20bo3b
2o4b2o$21bo3bo$22b3o3$13b2o$13b2o2$25b2o$25bo$26b3o$28bo!
#C [[ GRID THEME BOOK ]]

Figure 3.19(c): Tanner's p46

A sparky period 46 oscillator.
More info: https://www.conwaylife.com/wiki/Tanner's_p46

RLE code: Select all

x = 25, y = 23, rule = B3/S23
11bo$10bobo5$10bobo$11bo4$9b3o8b2o$9bobo8b2o$2b2o5bobo$bobo$bo19b2o$2o
19bo$22b3o$10bo13bo$4b2obobobo$4bob2ob2obo$12bo$12b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.20(a): p27 hassler

A period 27 oscillator.
More info: https://www.conwaylife.com/wiki/94P27.1

RLE code: Select all

x = 32, y = 18, rule = B3/S23
25b2o$25b2o2$12b2o9b6o$12b2o9bo5bo$6b2o17b4o$5bobo18bo2b3o$b2o2bo6b2o
4b2o2bo5bo2bo$bobobobo3bo2bo2bo2bo2bo2bobo$3bobo2bo2bo2bo2bo2bo3bobobo
bo$o2bo5bo2b2o4b2o6bo2b2o$3o2bo18bobo$3b4o17b2o$2bo5bo9b2o$3b6o9b2o2$
5b2o$5b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.20(b): David Hilbert

A period-23 oscillator found by Luka Okanishi on November 24, 2019 based on a partial result by 'praosylen' on ConwayLife.com.

RLE code: Select all

x = 33, y = 26, rule = B3/S23
7b2o15b2o$8bo15bo$6bo19bo$6b5o11b5o$10bo11bo$4b4o17b4o$4bo2bo17bo2bo2$
8b4o$7bo2b2o2b2ob2o3b3o$7bo2bo3b2ob2o2bo2bo$9bo11bo3bo$10bo11b4o$9b3o
12bo$3b2o3bob2o3b2o11b2o$3bo4b2o4bo2bo11bo$2obo11b2o12bob2o$ob2ob2o19b
2ob2obo$5bo21bo$5bobo17bobo$6b2o17b2o$10bo11bo$6b5o11b5o$6bo19bo$8bo
15bo$7b2o15b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.21: t tetromino hassle 1

A method of hassling a T-tetromino.

RLE code: Select all

x = 17, y = 13, rule = B3/S23
9b2o$8bo2bo$8bobo2bo2bo$7b2obob5o$5bo3b2o$bo6b2o2b3o$2o2bo3bobo2bobo$b
o6b2o2b2obo$5bo3b2o3bo$7b2obob2o$8bobobo$8bobo2bo$9bo2b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.22: t tetromino hassle 2

A way to shuttle a T-tetromino with 3 sparks.

RLE code: Select all

x = 48, y = 9, rule = B3/S23
30bo2$31b2o$2o11b3o14b3o13b2o$3o10bobobo11b2o14b3o$2o11b3o14b3o13b2o$
31b2o2$30bo!
#C [[ GRID THEME BOOK ]]

Figure 3.23(a): 145P20

An unnamed period 20 oscillator. Found on March 22, 1995.
More info: https://www.conwaylife.com/wiki/145P20

RLE code: Select all

x = 28, y = 21, rule = B3/S23
4b2o4bo4b2o$3bo2bobo3bobo2bo$3b3o9b3o$b2o3b2o5b2o$obo2bo2b5o2bo4b2o$ob
obobo7b2o3bo2bo$bobobo13bobo2bo2bo$3bo14b2obob5o$2bo2bo12bo2bo$2bo6bo
9bo2b4o$2bo3bo2b2o7bo2b2o3bo$2bo6bo9bo2b3obo$2bo2bo12bo2bo3bo$3bo14b2o
bob2o$bobobo13bobobo$obobobo7b2o3bobo2bo$obo2bo2b5o2bo4bo2b2o$b2o3b2o
5b2o$3b3o9b3o$3bo2bobo3bobo2bo$4b2o4bo4b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.23(b): p24 t tetromino hassler

A period 24 T-tetromino hassler, found by Bill Gosper in 1994.

RLE code: Select all

x = 26, y = 19, rule = B3/S23
6b2o$5bobo12bo$5bo$ob2ob2o4b2o5bob3o$2obo2bo3bobo7b2obo$5bo3bo10bob2o$
4b2obo3bo9b3obo$4b4o3bo$7bob3o11bo$4bobo3b2o7bo$7bob3o6b2o$4b4o3bo7bo$
4b2obo3bo$5bo3bo$2obo2bo3bobo$ob2ob2o4b2o$5bo$5bobo$6b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.23(c): 134P25

The first period 25 oscillator to be found. Found on September 23, 1994. Works by hassling T-tetrominoes.
More info: https://www.conwaylife.com/wiki/134P25

RLE code: Select all

x = 35, y = 23, rule = B3/S23
21bo$19b3o$18bo8bo2b2o$9b2o7b2o6bobo2bo$10bo15bobobo$10bobo12b2obob2o$
11b2o12bo2bo3bo$16bo9bo2b3obo$6b2o8b2o7bo2b2o3bo$5bo2bo7bo9bo2b4o$o2bo
2bobo16bo2bo$5obob2o15b2obob5o$6bo2bo16bobo2bo2bo$2b4o2bo9bo7bo2bo$bo
3b2o2bo7b2o8b2o$bob3o2bo9bo$2bo3bo2bo12b2o$3b2obob2o12bobo$4bobobo15bo
$3bo2bobo6b2o7b2o$3b2o2bo8bo$13b3o$13bo!
#C [[ GRID THEME BOOK ]]

Figure 3.24: Pre-pulsar

An arrangement of two T-tetrominoes that evolves into a pulsar.

RLE code: Select all

x = 9, y = 2, rule = B3/S23
bo5bo$3o3b3o!
#C [[ GRID THEME BOOK ]]

Figure 3.25: pre pulsar mechanisms

Numerous methods of shuttling pre-pulsars, sorted by the number of generations they take to complete and how far they push the pre-pulsar.

RLE code: Select all

x = 671, y = 414, rule = B3/S23
485b2o7b2o$485bobo5bobo$480b2ob2o2bo5bo2b2ob2o$481bobo3b2o3b2o3bobo$
481bo2bo4bobo4bo2bo$479b2obobob2obobob2obobob2o$480bobo2b2obo3bob2o2bo
bo$479bo2bo2bo9bo2bo2bo$479bobob3obo5bob3obobo$480b2o4bo7bo4b2o$5b2o4b
2o10b2obo455b3obo7bob3o$6bo5bo10bob2o25bo3b2o5b2o3bo339b2o7b2o44b2o4b
2o7b4o17b4o7b2o4b2o$5bo5bo15b2o22bobo2bo7bo2bobo276b2o5b2obo14bob2o32b
o2bo5bo2bo43bobo4bo3b2obo25bob2o3bo4bobo74b2obo6b2obo14b2obo$5b2o4b2o
14bo23bobo4bo3bo4bobo277bo5bob2o14b2obo25bo5bobobo5bobobo5bo32b2o4bo3b
o3bobobobo6bo7bo6bobobobo3bo3bo4b2o70bob2o6bob2o14bob2o22b2obo13bob2o$
28bo23bob5o3b5obo277bo4b2o16b2o28b2o4b3obo7bob3o4b2o31bobo2bob2o2b4o2b
obobo2bob2o7b2obo2bobobo2b4o2b2obo2bobo74b2o2b2o4b2o10b2o26bob2o13b2ob
o$5b2o4b2o14b2o25bo11bo279b2o3bo18bo27bob2o3b3o11b3o3b2obo27bo4b4obob
2o4bobo2bo21bo2bobo4b2obob4o4bo71bo3bo5bo11bo$6bo5bo3b2obo3b2obo26bo3b
2o3b2o3bo284bo16bo27b3o2bo21bo2b3o26b5o6bo3b3o2bo4bobo13bobo4bo2b3o3bo
6b5o72bo3bo5bo11bo27b3o13b3o$5bo5bo4bob2o3bob2o25bo4b2o3b2o4bo277b2o3b
2o16b2o28bobobo19bobobo33bo2b2ob5o3b2o4b3o13b3o4b2o3b5ob2o2bo76b2o2b2o
4b2o10b2o26bo2bo13bo2bo$5b2o4b2o14b2o23b2o13b2o278bo5b2obo5b2obo5bob2o
25bobobo17bobobo29b2o2bo2bobobo5bob2o4b2o15b2o4b2obo5bobobo2bo2b2o67b
2obo6b2obo5b2obo5b2obo22b2o17b2o$27bo318bo6bob2o5bob2o5b2obo26bo2b3o
13b3o2bo30bo2bob3o3bo2b2o3b2o4b3o13b3o4b2o3b2o2bo3b3obo2bo67bob2o6bob
2o5bob2o5bob2o$5b2o4b2o15bo317b2o3b2o4b2o16b2o25b2obo3b3o3b3o3bob2o33b
2ob3o2bo4bobobob2obobo3b3o3b3o3bobob2obobobo4bo2b3ob2o67b2o14b2o10b2o
4b2o20b4o13b4o$6bo5bo14b2o27b3o3b3o286bo5bo18bo26b2o4bobo3bobo4b2o33b
3o7bo3bobo2bobob2o4bobo3bobo4b2obobo2bobo3bo7b3o66bo15bo11bo5bo21bo2bo
13bo2bo$5bo5bo11b2obo30bo5bo282b2o4bo5bo16bo27bo5b3o3b3o5bo33bo8b2ob2o
b3o11b3o3b3o11b3ob2ob2o8bo67bo15bo11bo5bo21bo4b3o3b3o4bo$5b2o4b2o10bob
2o320bo3b2o4b2o16b2o76b2o3b2o7bo45bo7b2o3b2o62b2o14b2o10b2o4b2o18b3o5b
obo3bobo5b3o$346bo6b2obo14bob2o78bo2bobo3b2obobob2o39b2obobob2o3bobo2b
o64b2obo6b2obo14b2obo20bo7b3o3b3o7bo$346b2o5bob2o14b2obo80b2o2bo2bob2o
bobo41bobob2obo2bo2b2o66bob2o6bob2o14bob2o$458b2o7bobo41bobo7b2o$467b
2o43b2o30$506bobo$504b3obo$503bo3b2o$460b2o7b2o32b3o$2o5b2obo12b2obo
30bo5bo395bo2bo5bo2bo35bo$bo5bob2o12bob2o29b3o3b3o393bob2obo3bob2obo
30b3o2bo138b2o15b2o$o10b2o14b2o314b2obo6b2obo14bob2o78bo5bo2bobobobo2b
o5bo24bo2bob2o81b2obo6b2obo14b2obo24bo19bo$2o9bo15bo315bob2o6bob2o14b
2obo77bobo5bo3bobo3bo5bobo23b2obobo24bo57bob2o6bob2o14bob2o27bo13bo$
12bo15bo318b2o2b2o4b2o10b2o81bo2bob3o3b2ob2o3b3obo2bo26bob2o7b2o3b2o9b
2o60b2o2b2o4b2o10b2o27bo3bo13bo3bo$2o9b2o14b2o28b2o3b2o283bo3bo5bo12bo
40b2o3b2o32b2obobobo15bobobob2o24bo10bobobobo71bo3bo5bo11bo25b4o3bo13b
o3b4o$bo5b2obo5b2obo3b2obo24bo6bo3bo6bo278bo3bo5bo10bo41bobobobo31bobo
bobo19bobobobo24b3o9bobo8b2o2b3o59bo3bo5bo11bo29bo17bo$o6bob2o5bob2o3b
ob2o23b2o3bo9bo3b2o276b2o2b2o4b2o10b2o27b2o13bobo13b2o18bo2bo25bo2bo
27bo7b2ob2o7b3obo60b2o2b2o4b2o10b2o34b3o3b3o$2o3b2o20b2o22bo3b2o7b2o3b
o273b2obo4bo5bo4b2obo5bob2o23b2obo10b2ob2o10bob2o17b2obo9b3o3b3o9bob2o
23b2o20b2o60b2obo4bo5bo4b2obo5b2obo30bobo3bobo$5bo21bo315bob2o5bo5bo3b
ob2o5b2obo27bo23bo22bob3o2bo4bobo3bobo4bo2b3obo20b2obob2o81bob2o5bo5bo
3bob2o5bob2o30b3o3b3o$2o4bo21bo312b2o8b2o4b2o16b2o22bo29bo17bo2bo4bo5b
3o3b3o5bo4bo2bo18b2obobo2bo17b2o64b2o2b2o4b2o10b2o4b2o$bo3b2o20b2o312b
o9bo5bo18bo23bob2o21b2obo18b2obob2o23b2obob2o21bo4bo4b3o3b3o4b3o63bo3b
o5bo11bo5bo$o6b2obo12b2obo24bo3b2o7b2o3bo272bo9bo5bo16bo26b2o6b3o3b3o
6b2o23bobo25bobo24bo9bobo3bobo5bo2b2o61bo3bo5bo11bo5bo$2o5bob2o12bob2o
23b2o3bo9bo3b2o270b2o8b2o4b2o16b2o33bobo3bobo31bobo25bobo25b2o7b3o3b3o
5bo4bo59b2o2b2o4b2o10b2o4b2o$51bo6bo3bo6bo273b2obo6b2obo14bob2o35b3o3b
3o32bo27bo50bobobo55b2obo6b2obo14b2obo$57b2o3b2o279bob2o6bob2o14b2obo
159bob2o52bob2o6bob2o14bob2o$533b2ob2o3$56b3o3b3o$57bo5bo30$343b2obo6b
2obo14bob2o$343bob2o6bob2o14b2obo$347b2o8b2o10b2o$347bo9bo12bo32bo5bo$
348bo9bo10bo32b3o3b3o$347b2o8b2o10b2o$343b2obo6b2obo5b2obo5bob2o23b2o
13b2o$343bob2o6bob2o5bob2o5b2obo23b2o13b2o$341b2o8b2o22b2o$341bo9bo24b
o25b3o3b3o$342bo9bo22bo27bo5bo$341b2o8b2o22b2o$343b2obo6b2obo14bob2o$
343bob2o6bob2o14b2obo2$56b3o3b3o72b3o3b3o$56bobo3bobo66b3o3bobo3bobo3b
3o92b3o3b3o$b2o3b2o3b2o10b2obo29b3o3b3o38b2o5b2o25b3o3b3o63b3o3b3o26bo
bo3bobo$2bo3b2o3b2o10bob2o25b2o48bobo5b2o5b2o9b2o23b2o22b3o3b3o23bobo
3bobo26b3o3b3o$bo25b2o22bobo12b3o22b2o7b3o14bo9bobo23bobo21bobo3bobo
23b3o3b3o$b2o3b2o3b2o14bo23bo14bobo15b2o5b2o6bo3bo11bobo9bo27bo21b3o3b
3o4b2o12b2o15b2o17b3o11b3o$6bobobobo15bo21b2o5b2o7b3o16bo13b2ob2o11b2o
9b2o27b2o16b2o13bo2bo12bo2bo11bo2bo17bobo11bobo$b2o5bobo16b2o28b2o26bo
bo22b3o24b3o3b3o26bobo13b3o14b3o11b3o18b3o11b3o$2bo4b2obo5b2obo3b2obo
59b2o22bobo18b3o3bobo3bobo3b3o20bo$bo9b2o3bob2o3bob2o63b3o3b3o5b3o3b3o
24b3o3b3o25b2obo13b3o12b3o11b3o$b2o9bo14b2o32b2o3b3o21bobo3bobo5bobo
21b2o23b2o15bo2b2o13bo2bo10bo2bo11bo2bo$11bo15bo33b2o3bobo21b3o3b3o5b
3o20bobo23bobo14b2o5b3o3b3o4b2o10b2o15b2o19b3o11b3o$b2o8b2o15bo37b3o
58bo27bo21bobo3bobo21b3o3b3o24bobo11bobo$2bo9bo14b2o97b2o27b2o20b3o3b
3o21bobo3bobo24b3o11b3o$bo9bo11b2obo180b3o3b3o$b2o8b2o10bob2o37b2o178b
3o3b3o$65bo178bobo3bobo$62b3o179b3o3b3o$62bo11$157b2o$156bobo115bo2bob
o2bo$156bo117b4ob4o$154b2ob4o111b2o9b2o59b2obo4b2o3b2o12bob2o$53b2o11b
2o85bobobo2bo35b2o3b2o65b2obobob7obobob2o55bob2o4b2o3b2o12b2obo27b2o3b
2o$53b2o3bo3bo3b2o19b2o64bobo7b2o30bo2bobo2bo33bo3bo26b2obo2b2o2bo2b2o
2bob2o59b2o19b2o31b2o3b2o$58bo3bo17b2o5b2o8bobo16bobo13bobo16b2o2bo7b
2o5b2o19b2o3b2o3b2o3b2o23b2o4bo3bo4b2o15b2o6b2o11b2o6b2o54bo3b2o3b2o
11bo$58bo3bo18bo14bo22bo11bo18bo4b2o13bo20bo15bo23bo5bo3bo5bo15bo4b3o
15b3o4bo55bo2bobobobo10bo20b2o27b2o$52bo15bo12bobo13bo2bo14bo2bo13bo2b
o14b5o13bobo17b2obo15bob2o17b2obo15bob2o14bobo2bo15bo2bobo56b2o4bobo
12b2o20bo27bo$51bobo13bobo12b2o13bobobo12bobobo13bobobo11b2o4bo13b2o
16bo2bob2o13b2obo2bo13bo2bob2o13b2obo2bo11b2ob2o19b2ob2o51b2obo5b2obo
5b2obo5bob2o16bobo23bobo$52bo3b3o3b3o3bo17b3o3b3o3bo2bo12bo2bo3b3o3b3o
3bo2bo10bo2b2o5b3o3b3o20b2obo5b3o3b3o5bob2o13b2obo5b3o3b3o5bob2o13bo2b
o4b3o3b3o4bo2bo53bob2o9b2o3bob2o5b2obo17b2o23b2o$56bobo3bobo21bobo3bob
o4b2o14b2o4bobo3bobo4b2o11b2obo6bobo3bobo23bo5bobo3bobo5bo19bo5bobo3bo
bo5bo16bob2o4bobo3bobo4b2obo51b2o14bo16b2o24b3o3b3o$56b3o3b3o21b3o3b3o
26b3o3b3o20bo6b3o3b3o23b2o4b3o3b3o4b2o19b2o4b3o3b3o4b2o15b2obo5b3o3b3o
5bob2o50bo14bo18bo18b3o3bobo3bobo3b3o$150b2o116bo19bo54bo13b2o16bo25b
3o3b3o$268b2o17b2o53b2o14bo16b2o$344b2obo9bo13bob2o$344bob2o9b2o12b2ob
o16$128b2o141b3o$127bobo111b3o27bobo$127bo41b3o69bobo27b3o3b3o$125b2ob
4o31b3o3bobo41b3o25b3o3b3o27bobo$52bobo69bobobo2bo37b3o3b3o35bobo31bob
o17b3o7b3o$55bo35b2o31bobo33b2o13bobo3b3o23b3o3b3o21b3o7b3o17bobo$51bo
2bo13bobo13b2o5b2o29b2o2bo32bobo13b3o29bobo27bobo27b3o11b3o$50bobobo
12bo17bo35bo4b2o6b2o23bo25b2o20b3o7b3o17b3o11b3o27bobo$50bo2bo3b3o8bo
2bo13bobo13bobo17b5o8b2o5b2o15b2o25bobo15b2o12bobo31bobo27b3o$51b2o4bo
bo8bobobo13b2o12bo18b2o4bo15bo27b3o15bo14bobo12b3o31b3o$57b3o3b3o3bo2b
o17b3o8bo2bo13bo2b2o5b3o8bobo21b3o3bobo15b2o13bo66b3o$63bobo4b2o18bobo
8bobobo12b2obo6bobo8b2o28b3o3b3o23b2o6b2o24b3o31bobo$63b3o24b3o3b3o3bo
2bo15bo6b3o3b3o23b2o13bobo3b3o25bobo23bobo31b3o11b3o$96bobo4b2o16b2o
11bobo22bobo13b3o32b2o3b3o17b3o11b3o31bobo$96b3o35b3o22bo25b2o28bobo
31bobo21b3o7b3o$158b2o25bobo27b3o21b3o7b3o21bobo126bo7bo$187bo51bobo
31b3o3b3o119bobo5bobo$187b2o50b3o3b3o31bobo120bo7bo$213b2o30bobo31b3o$
214bo30b3o$211b3o$211bo190b3o3b3o$343b2obo6bob2o14bob2o21b3o3bobo3bobo
3b3o$343bob2o6b2obo14b2obo27b3o3b3o$347b2o2b2o16b2o22b2o23b2o$347bo4bo
17bo21bobo23bobo$348bo2bo17bo22bo27bo$347b2o2b2o16b2o20b2o27b2o$343b2o
bo6bob2o5b2obo5bob2o$343bob2o6b2obo5bob2o5b2obo$341b2o14b2o16b2o$341bo
16bo17bo$342bo14bo17bo15b2o27b2o$341b2o14b2o16b2o15bo27bo$343b2obo6bob
2o14bob2o17bobo23bobo$343bob2o6b2obo14b2obo18b2o23b2o$402b3o3b3o$396b
3o3bobo3bobo3b3o$402b3o3b3o4$402bo7bo$401bobo5bobo$402bo7bo11$136b3o3b
3o34b3o3b3o$136bobo3bobo34bobo3bobo$136b3o3b3o34b3o3b3o97b3o$74b3o3b3o
202bobo$2o5bob2o12b2obo47bobo3bobo196b3o3b3o$bo5b2obo12bob2o24bo7bo14b
3o3b3o21b3o3b3o166bobo$o4b2o20b2o21bobo5bobo43bobo3bobo17b3o15b3o29b2o
3b2o92b3o$2o4bo20bo23bo7bo44b3o3b3o17bobo15bobo21b3o5b2o3b2o5b3o24b3o
3b3o18b3o3b3o$5bo22bo101b3o15b3o21bobo3b2o7b2o3bobo24bobo3bobo18bobo3b
obo36b3o$2o3b2o20b2o45bo11b3o83b3o3b2o7b2o3b3o24b3o3b3o18b3o3b3o31b2o
3bobo$bo5bob2o5b2obo3b2obo46bobo10bobo184b3o4b2o4b2o3b3o$o6b2obo5bob2o
3bob2o24b3o3b3o14bo11b3o184bobo4b2o$2o9b2o14b2o22bobo3bobo70b3o15b3o
122b3o$12bo14bo23b3o3b3o70bobo15bobo21b3o3b2o7b2o3b3o$2o9bo16bo75b3o3b
3o17b3o15b3o21bobo3b2o7b2o3bobo98b3o$bo9b2o14b2o57b3o15bobo3bobo59b3o
5b2o3b2o5b3o92b2o4bobo$o6bob2o12b2obo54bo4bobo15b3o3b3o67b2o3b2o33b3o
3b3o19b3o3b3o18b3o3b2o4b2o4b3o$2o5b2obo12bob2o53bobo3b3o131bobo3bobo
19bobo3bobo18bobo3b2o$81bo54b3o3b3o75b3o3b3o19b3o3b3o18b3o$136bobo3bob
o$136b3o3b3o34b3o3b3o99b3o$179bobo3bobo99bobo$179b3o3b3o93b3o3b3o$281b
obo$281b3o9$80b3o$80bobo22b3o31b3o$51bo22b3o3b3o22bobo31bobo$50bobo21b
obo28b3o3b3o19b3o3b3o78b3o24b3o$51bo7bo14b3o34bobo19bobo30b3o3b3o14b3o
28bobo24bobo$58bobo50b3o19b3o30bobo3bobo14bobo28b3o3b3o18b3o3b3o$59bo
26b3o77b3o3b3o14b3o3b3o28bobo24bobo$86bobo56b3o47bobo28b3o24b3o$51b3o
20bo11b3o56bobo47b3o$51bobo19bobo57bo11b3o$51b3o3b3o14bo30b3o24bobo$
57bobo45bobo25bo$57b3o24b3o18b3o3b3o107b3o25b3o$79bo4bobo24bobo31b3o
18b3o3b3o14b3o29bobo25bobo$78bobo3b3o24b3o26bo4bobo18b3o3b3o14b3o29b3o
3b3o19b3o3b3o$79bo59bobo3b3o19bo5bo16bo4b3o29bobo25bobo$140bo54b3o29b
3o25b3o$196bo15$80b3o27b3o28b3o$80bobo27bobo28bobo$74b3o3b3o21b3o3b3o
22b3o3b3o$52b2o20bobo27bobo28bobo$52b2o5bo14b3o27b3o28b3o$58bobo$59bo
26b3o27b3o28b3o$86bobo27bobo28bobo$51b3o21b2o9b3o16b2o9b3o17b2o9b3o$
51bobo21b2o28b2o29b2o$51b3o3b3o$57bobo$57b3o24b3o22b2o3b3o30b3o$79bo4b
obo22b2o3bobo25bo4bobo$78bobo3b3o27b3o24bobo3b3o$79bo62bo17$46b2o$46bo
2b2o$47b2ob2o$50b2o$50b2o5b3o3b3o35b2o29b2o$47b2ob2o5bobo3bobo4bobo28b
2obo25bob2o$46bo2b2o6b3o3b3o4bo2bo31bo23bo$46b2o25bo28bo29bo$70bo2b2o
28bob2o21b2obo$75b2o28b2o6b3o3b3o6b2o$70bo3b2obo35bobo3bobo$77b3o33b3o
3b3o$71b5o4bo$71bo2bob4o$75bo$76bob2o$73b2obob2o$73bo2bo$73b2obo$75bo$
71b2o$72bo3bo5bo$69b3o3b3o3bobo$69bo4bobobo2b2o$70b5o3b3o$75bobo3b2o$
72b3o4b2o2bo$72bo2b3o4b2o$73b2o5bobo$75bo2bo3bo$75b4ob2o$79bo$77bobo$
77b2o27$53b2o33b2o$2b2obo5b2o10b2obo26bo35bo$2bob2o6bo10bob2o28bo31bo$
6b2o3bo15b2o25b4o5bo15bo5b4o$6bo4b2o14bo25bo4bo4b3o11b3o4bo4bo$7bo20bo
24b5obo6bo9bo6bob5o$6b2o3b2o14b2o22b2o2bobobo5b2o9b2o5bobobo2b2o$2b2ob
o6bo3b2obo3b2obo23bo2b2obo2b2o21b2o2bob2o2bo$2bob2o5bo4bob2o3bob2o23b
2obo2b2o3bo19bo3b2o2bob2o$2o9b2o14b2o24bo2bobob2o5b3o3b3o5b2obobo2bo$o
26bo25b2obo4bo5bobo3bobo5bo4bob2o$bo9b2o15bo26bobob2o6b3o3b3o6b2obobo$
2o10bo14b2o26bobobo23bobobo$2b2obo5bo11b2obo29bo2bo23bo2bo$2bob2o5b2o
10bob2o30b2o25b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.26: pre pulsar hasslers

A collection of pre-pulsar shuttles and hasslers, arranged by their period. Found by many different authors.
More info: https://www.conwaylife.com/wiki/Pre-pulsar_shuttle

RLE code: Select all

x = 283, y = 413, rule = B3/S23
223b2o3b2o$222bo2bobo2bo$218b2o3b2o3b2o3b2o$218bo15bo$215b2obo15bob2o$
138b2o74bobob2o13b2obobo$138bo75bobo5b3o3b3o5bobo$140bo71b2o2bo5bobo3b
obo5bo2b2o$136b5o70bo4b2o4b3o3b3o4b2o4bo$35b2o18b2o68b2o9bo74b5o21b5o$
34bo2bo2b2o8b2o2bo2bo66bo2bo2b2o7b4o72bo21bo$2b2obo6b2obo19b2o2bobo8bo
bo2b2o35b2obo6bob2o19b2o2bobo7bo2bo39b2obo6b2obo13b4o27b4o$2bob2o6bob
2o21b2o14b2o37bob2o6b2obo21b2o53bob2o6bob2o13bo2bo27bo2bo$6b2o8b2o19bo
16bo41b2o2b2o25bo58b2o2b2o$6bo9bo17b2obo5b3o8bob2o38bo4bo22b2obo8b3o4b
o42bo3bo32b2o3b2o$7bo9bo16bo2bob3obobo5b2obo2bo39bo2bo23bo2bob2o5bobo
3bobo42bo3bo16bo4b3o8bo3bo8b3o4bo$6b2o8b2o18b2ob3ob3o5b2ob2o40b2o2b2o
24b2ob2o5b3o3bobo41b2o2b2o15bobo3bobo5bo9bo5bobo3bobo$2b2obo6b2obo76b
2obo6bob2o37bo38b2obo6b2obo11bobo3b3o5b2o7b2o5b3o3bobo$2bob2o6bob2o76b
ob2o6b2obo76bob2o6bob2o12bo35bo$2o8b2o78b2o14b2o35bo36b2o8b2o4b2o$o9bo
25b2ob3ob3o5b2ob2o34bo16bo18b2ob2o5b3o3bobo35bo9bo5bo11bo35bo$bo9bo22b
o2bob3obobo5b2obo2bo33bo14bo17bo2bob2o5bobo3bobo36bo9bo5bo9bobo3b3o5b
2o7b2o5b3o3bobo$2o8b2o22b2obo5b3o8bob2o32b2o14b2o16b2obo8b3o4bo36b2o8b
2o4b2o9bobo3bobo5bo9bo5bobo3bobo$2b2obo6b2obo21bo16bo37b2obo6bob2o21bo
54b2obo6b2obo12bo4b3o8bo3bo8b3o4bo$2bob2o6bob2o21b2o14b2o37bob2o6b2obo
21b2o53bob2o6bob2o27b2o3b2o$35b2o2bobo8bobo2b2o68b2o2bobo7bo2bo$34bo2b
o2b2o8b2o2bo2bo66bo2bo2b2o7b4o66bo2bo27bo2bo$35b2o18b2o68b2o9bo72b4o
27b4o$136b5o74bo21bo$140bo70b5o21b5o$138bo72bo4b2o4b3o3b3o4b2o4bo$138b
2o72b2o2bo5bobo3bobo5bo2b2o$214bobo5b3o3b3o5bobo$214bobob2o13b2obobo$
215b2obo15bob2o$218bo15bo$218b2o3b2o3b2o3b2o$222bo2bobo2bo$223b2o3b2o
8$127bo$127b3o$130bo$129b2o$40b2o$2b2obo6b2obo17b2o5b2o8bobo39b2obo6b
2obo35bo38b2obo6b2obo$2bob2o6bob2o18bo14bo42bob2o6bob2o28b3o3bobo37bob
2o6bob2o$6b2o2b2o4b2o16bobo13bo2bo42b2o2b2o4b2o18b2o6bobo4bo42b2o2b2o
4b2o17bo14bo$6bo3bo5bo18b2o13bobobo41bo3bo5bo19b2o6b3o47bo3bo5bo17bobo
3b3o6bobo$7bo3bo5bo21b3o3b3o3bo2bo42bo3bo5bo77bo3bo5bo17bo4bobo7bo$6b
2o2b2o4b2o21bobo3bobo4b2o42b2o2b2o4b2o76b2o2b2o4b2o22b3o$2b2obo6b2obo
23b3o3b3o44b2obo6b2obo18b2o54b2obo4bo5bo$2bob2o6bob2o76bob2o6bob2o18bo
9b3o43bob2o5bo5bo$2o8b2o4b2o34b2o36b2o14b2o13b2obo9bobo4bo42b2o2b2o4b
2o$o9bo5bo34bo2bo35bo15bo14bo2b2o8b3o3bobo41bo3bo5bo23b3o$bo9bo5bo17b
2o12bo2bobo36bo15bo14b2o4bo12bo43bo3bo5bo17bo4bobo7bo$2o8b2o4b2o16bobo
16bo36b2o14b2o16b5o55b2o2b2o4b2o16bobo3b3o6bobo$2b2obo6b2obo18bo14bob
2o39b2obo6b2obo18bo4b2o49b2obo6b2obo19bo14bo$2bob2o6bob2o17b2o5b2o8bo
41bob2o6bob2o19b2o2bo50bob2o6bob2o$40b2o85bobo$127bobobo2bo$128b2ob4o$
130bo$130bobo$131b2o11$240b2o7b2o$240bobo5bobo$235b2ob2o2bo5bo2b2ob2o$
236bobo3b2o3b2o3bobo$236bo2bo4bobo4bo2bo$234b2obobob2obobob2obobob2o$
46b2o7b2o178bobo2b2obo3bob2o2bobo$45bo2bo5bo2bo176bo2bo2bo9bo2bo2bo$
38bo5bobobo5bobobo5bo60b2ob2o104bobob3obo5bob3obobo$37b2o4b3obo7bob3o
4b2o60bobobo104b2o4bo7bo4b2o$2obo6b2obo22bob2o3b3o11b3o3b2obo23b2obo6b
ob2o22bo3bo49b2obo6b2obo43b3obo7bob3o$ob2o6bob2o21b3o2bo21bo2b3o22bob
2o6b2obo18bob2obob2obobo45bob2o6bob2o24b2o4b2o7b4o17b4o7b2o4b2o$4b2o8b
2o21bobobo19bobobo28b2o2b2o22b2obo2bo2bob2o49b2o2b2o28bobo4bo3b2obo25b
ob2o3bo4bobo$4bo9bo23bobobo17bobobo29bo4bo25bob2o2bo52bo3bo25b2o4bo3bo
3bobobobo6bo7bo6bobobobo3bo3bo4b2o$5bo9bo23bo2b3o13b3o2bo31bo2bo26b2ob
2obob2o50bo3bo24bobo2bob2o2b4o2bobobo2bob2o7b2obo2bobobo2b4o2b2obo2bob
o$4b2o8b2o24b2obo3b3o3b3o3bob2o31b2o2b2o29bo2bobo49b2o2b2o21bo4b4obob
2o4bobo2bo21bo2bobo4b2obob4o4bo$2obo6b2obo27b2o4bobo3bobo4b2o28b2obo6b
ob2o17b2o6b3o48b2obo6b2obo17b5o6bo3b3o2bo4bobo13bobo4bo2b3o3bo6b5o$ob
2o6bob2o27bo5b3o3b3o5bo28bob2o6b2obo17bo2b2o2bo51bob2o6bob2o22bo2b2ob
5o3b2o4b3o13b3o4b2o3b5ob2o2bo$4b2o2b2o84b2o8b2o16b2ob7o3b2o6b2o39b2o2b
2o4b2o15b2o2bo2bobobo5bob2o4b2o15b2o4b2obo5bobobo2bo2b2o$4bo3bo85bo10b
o18bobo4bo3bo8bo39bo3bo5bo16bo2bob3o3bo2b2o3b2o4b3o13b3o4b2o3b2o2bo3b
3obo2bo$5bo3bo31bo19bo33bo8bo17b2o3b2o7bobo2b3o41bo3bo5bo17b2ob3o2bo4b
obobob2obobo3b3o3b3o3bobob2obobobo4bo2b3ob2o$4b2o2b2o31b2o17b2o32b2o8b
2o16bo3bobo12b2o41b2o2b2o4b2o16b3o7bo3bobo2bobob2o4bobo3bobo4b2obobo2b
obo3bo7b3o$2obo6b2obo26b2obo15bob2o27b2obo6bob2o20bobo2bo6bo2b4o37b2ob
o6b2obo18bo8b2ob2ob3o11b3o3b3o11b3ob2ob2o8bo$ob2o6bob2o25bo2b3o13b3o2b
o26bob2o6b2obo19b2obobo3b2o2bobobo39bob2o6bob2o14b2o3b2o7bo45bo7b2o3b
2o$38bobobo17bobobo57bo5b2o2bobo2bo5bo2bo61bo2bobo3b2obobob2o39b2obobo
b2o3bobo2bo$37bobobo19bobobo54bo2b2o8b4o6bo2bo63b2o2bo2bob2obobo41bobo
b2obo2bo2b2o$35b3o2bo21bo2b3o52b2obo10b2o5b2ob2ob2o64b2o7bobo8b3o19b3o
8bobo7b2o$36bob2o3b3o11b3o3b2obo56bo19bo2bo75b2o10bo21bo10b2o$37b2o4b
3obo7bob3o4b2o57bobo17bo2bo$38bo5bobobo5bobobo5bo59b2o12bo2b2ob2ob2o
84b3o19b3o$45bo2bo5bo2bo70b3o6bobo3bo2bo85bo3bo17bo3bo$46b2o7b2o71bobo
7bo4bo2bo84bo5bo5b2ob2o5bo5bo$128b3o100bobobobo6bobo6bobobobo$230b2obo
bob2o3bobobobo3b2obobob2o$229bo2b2ob2o2bo2b2o3b2o2bo2b2ob2o2bo$229b2o
7b2o11b2o7b2o$128b3o$128bobo7bo4bo2bo$128b3o6bobo3bo2bo$124b2o12bo2b2o
b2ob2o$123bobo17bo2bo$123bo19bo2bo$120b2obo10b2o5b2ob2ob2o$120bo2b2o8b
4o6bo2bo$122bo5b2o2bobo2bo5bo2bo94bo7bo$123b2obobo3b2o2bobobo99bobo5bo
bo$124bobo2bo6bo2b4o98bo7bo$122bo3bobo12b2o$122b2o3b2o7bobo2b3o$124bob
o4bo3bo8bo$122b2ob7o3b2o6b2o86b2o8b3o3b3o8b2o$121bo2b2o2bo101bo2bo7b3o
3b3o7bo2bo$121b2o6b3o97bobobo7b3o3b3o7bobobo$129bo2bobo94bobob2o21b2ob
obo$125b2ob2obob2o92b2obobo25bobob2o$125bob2o2bo95bo2bob2o2b2o15b2o2b
2obo2bo$122b2obo2bo2bob2o89b2obobobo27bobobob2o$122bob2obob2obobo89bo
2b3obob2o21b2obob3o2bo$126bo3bo94b2o3bo2bo5b2o9b2o5bo2bo3b2o$126bobobo
96b5obo6bo9bo6bob5o$125b2ob2o97bo4bo4b3o11b3o4bo4bo$228b4o5bo15bo5b4o$
229bo31bo$227bo35bo$227b2o33b2o14$153b2o$130b2o5b2o14bo2bo$126b2obobo
5b2o16b4o$125bobobo21b4o4bo$125bobob5o3b4o9bo4b2ob2o56b2o3b2o$124b2o8b
obo4bo9b3obobo2b2o54b2o3b2o$126bobob3obob3o2bo11bobo2b2o2bo$124b3o2b2o
bobo2bo23bo$49b2o3b2o79bo18bo3b3o$49bobobobo82b2o15bo$36b2o13bobo13b2o
78b2o10b2o$36b2obo10b2ob2o10bob2o78b2o11bo2bo$2o3b2o4b2obo25bo23bo25b
2o3b2o4b2obo55bobobo15b2o3b2o2b2o3b2o$2o3b2o4bob2o22bo29bo22b2o3b2o4bo
b2o56bobobo14b2o3b2o2b2o3b2o$9b2o4b2o21bob2o21b2obo38b2o32b3o12b3o6bob
o$2o3b2o2bo5bo24b2o6b3o3b3o6b2o25b2o3b2o8bo26b2o5bobo12bobo5bobo15b2o
3b2o2b2o3b2o19b3o3b3o$obobobo3bo5bo31bobo3bobo33bobobobo9bo25bo2bo3b3o
12b3o3bo2bo16bobobobo2bobobobo19bobo3bobo$2bobo4b2o4b2o31b3o3b3o35bobo
10b2o26b3o24b3o19bobo6bobo21b3o3b3o$b2obo4bo5bo75b2obo6b2obo76b2obo5b
2obo$5b2o3bo5bo78b2o4bob2o28b3o24b3o22b2o7b2o$6bo2b2o4b2o79bo2b2o31bo
2bo3b3o12b3o3bo2bo22bo8bo$5bo3bo5bo23b3o21b3o29bo3bo32b2o5bobo12bobo5b
obo20bo8bo$5b2o3bo5bo25bo19bo32b2o3bo38b3o12b3o6bobo19b2o7b2o17b3o7b3o
$6bo2b2o4b2o21bo3bo19bo3bo29bo2b2o60bobobo20bo8bo11b2o2b7o3b7o2b2o$5bo
5b2obo22bobo2bo19bo2bobo27bo5b2obo55bobobo20bo8bo12bo3b2obob2o3b2obob
2o3bo$5b2o4bob2o20bo2bobo23bobo2bo25b2o4bob2o42b2o11bo2bo21b2o7b2o13b
2ob2ob2ob3ob2ob2ob2o$35bo3bo10b2ob2o10bo3bo77b2o10b2o44b4obo17bob4o$
35bo15bobo15bo68b2o15bo49bo2bob4o3bo3bo3b4obo2bo$36b3o10bobobobo10b3o
66bo18bo3b3o48bo2bo13bo2bo$49b2o3b2o68b3o2b2obobo2bo23bo48bo8bo8bo$
126bobob3obob3o2bo11bobo2b2o2bo48bobo4bobo4bobo$124b2o8bobo4bo9b3obobo
2b2o52b2o3bo3b2o$125bobob5o3b4o9bo4b2ob2o51bo2b2o7b2o2bo$125bobobo21b
4o4bo46b2o2bobobo9bobobo2b2o$126b2obobo5b2o16b4o47bo2bobob3o7b3obobo2b
o$130b2o5b2o14bo2bo51b2o2b2o2bo5bo2b2o2b2o$153b2o55b2o5b2ob2o5b2o$210b
o6b2ob2o6bo$208bobo17bobo$208b2o19b2o25$44bo4bo$42b3o4b3o$41bo10bo72bo
25bo$41b2o8b2o71bobo23bobo$125bo25bo62b2o3b2o$39bo14bo75bo15bo67bo5bo$
39bo14bo68b5o2b3o11b3o2b5o50b2o2b2ob2obo5bob2ob2o2b2o$39bo6b2o6bo67bo
4bo5bo9bo5bo4bo49bo2bobobobo7bobobobo2bo$2o3b2o2bob2o33b2o44bob2o6bob
2o15bo2bo7b2o9b2o7bo2bo26bob2o6b2obo9bobo3bo11bo3bobo$2o3b2o2b2obo79b
2obo6b2obo12bo2bob2o27b2obo2bo23b2obo6bob2o8b2ob2o2b2o9b2o2b2ob2o$13b
2o18bo26bo29b2o8b2o15bobobo5bo21bo5bobobo20b2o8b2o4b2o$2o3b2o7bo17bobo
3b3o12b3o3bobo29bo9bo16bo2bo4bobo19bobo4bo2bo22bo8bo5bo$obobobo6bo19bo
4bobo12bobo4bo29bo9bo20b2o2bo2bo5b3o3b3o5bo2bo2b2o24bo10bo5bo21b3o$2bo
bo8b2o23b3o12b3o34b2o8b2o24b2o6bobo3bobo6b2o29b2o8b2o4b2o21bobo$b2obo
6b2o79bob2o6bob2o28b3o3b3o39bob2o6b2obo23b3o$5b2o5bo79b2obo6b2obo76b2o
bo6bob2o$6bo4bo84b2o8b2o43b2o33b2o2b2o4b2o$5bo5b2o25b3o12b3o41bo9bo18b
2o21bo2bo34bo2bo5bo$5b2o2b2o22bo4bobo12bobo4bo35bo9bo14b2o2bo2bo20b3o
34bo4bo5bo21b3o$6bo3bo21bobo3b3o12b3o3bobo34b2o8b2o10bo2bo4bobo25b2o
30b2o2b2o4b2o21bobo$5bo3bo23bo26bo31bob2o6bob2o11bobobo5bo21b2obo2bo
26bob2o6b2obo23b3o$5b2o2b2o81b2obo6b2obo12bo2bob2o25bob2o28b2obo6bob2o
$46b2o73bo2bo25bo$39bo6b2o6bo67bo4bo3b2o11b2o3b2o53b2ob2o2b2o9b2o2b2ob
2o$39bo14bo68b5o4bo11bo60bobo3bo11bo3bobo$39bo14bo75bobobo10b3o56bo2bo
bobobo7bobobobo2bo$125bo3bobob2o12bo56b2o2b2ob2obo5bob2ob2o2b2o$41b2o
8b2o71bobo2bobo82bo5bo$41bo10bo72bo4b2o82b2o3b2o$42b3o4b3o$44bo4bo15$
232b2obo8bob2o$232bob2o8b2obo$238bo2bo$233b6o2b6o$232bobo10bobo$232b2o
3b6o3b2o$42bo11bo175b2o2b3obo2bob3o2b2o$42bo11bo78b2obo13bob2o75bo2b3o
10b3o2bo$42bo11bo78bob2o13b2obo75b3o16b3o$41b2o11b2o164b2o10bob2o8b2ob
o10b2o$39bo17bo76b3o13b3o60b2o6bo9bo2bob2o4b2obo2bo9bo6b2o$38bo4bo9bo
4bo74bo2bo13bo2bo59bo2bob3o10b2o2b2o6b2o2b2o10b3obo2bo$38bo19bo74b2o
17b2o61b2obo17bo6bo17bob2o$2b2obo6b2obo24b3o11b3o35b2obo4b2o3b2o75b2ob
o6bob2o15b4o3bo42bo3b4o$2bob2o6bob2o76bob2o4b2o3b2o26b4o13b4o28bob2o6b
2obo14bo4b2ob2ob2o34b2ob2ob2o4bo$2o8b2o4b2o72b2o41bo2bo13bo2bo26b2o8b
2o19b3obob3ob3o32b3ob3obob3o$o9bo5bo27b3o43bo9b2o3b2o23bo3bo17bo3bo23b
o10bo14bob3o4bobobo3bo32bo3bobobo4b3obo$bo9bo5bo26bobo44bo8bobobobo23b
4o19b4o24bo8bo15b2o4bo3bo4b3o11b3o4b3o11b3o4bo3bo4b2o$2o8b2o4b2o26b3o
43b2o10bobo75b2o8b2o12b2o3bob2o2b2obo3b2o11bobo4bobo11b2o3bob2o2b2obo
3b2o$2b2obo4bo5bo75b2obo5b2obo27b2o19b2o27b2obo6bob2o7bo2b3obob2ob2o4b
3o11b3o4b3o11b3o4b2ob2obob3o2bo$2bob2o5bo5bo74bob2o9b2o25b2o19b2o27bob
2o6b2obo8b2o3bo6b3o2bo36bo2b3o6bo3b2o$2o4b2o2b2o4b2o72b2o4b2o8bo25b2o
19b2o25b2o4b2o8b2o8bob3o5b3o2bo36bo2b3o5b3obo$o5bo3bo5bo27b3o43bo5bo8b
o27bo5b3o3b3o5bo26bo5bo10bo8bo2bo6b3o2bo36bo2b3o6bo2bo$bo5bo3bo5bo26bo
bo44bo5bo7b2o24b2ob2o3bobo3bobo3b2ob2o25bo5bo8bo10b2obob2ob2o4b3o11b3o
4b3o11b3o4b2ob2obob2o$2o4b2o2b2o4b2o26b3o43b2o4b2o8bo11b2o11b2ob2o3b3o
3b3o3b2ob2o11b2o11b2o4b2o8b2o11bob2o2b2obo3b2o11bobo4bobo11b2o3bob2o2b
2obo$2b2obo6b2obo76b2obo9bo12b2o10bobob2o15b2obobo10b2o13b2obo6bob2o9b
3o4bo3bo4b3o11b3o4b3o11b3o4bo3bo4b3o$2bob2o6bob2o76bob2o9b2o22b2obo21b
ob2o24bob2o6b2obo9bo2b3o4bobobo3bo32bo3bobobo4b3o2bo$40b3o11b3o72bo2b
2o19b2o2bo50bo2b3obob3ob3o32b3ob3obob3o2bo$38bo19bo71b3o21b3o53bo4b2ob
2ob2o34b2ob2ob2o4bo$38bo4bo9bo4bo152b4o3bo42bo3b4o$39bo17bo66b3o33b3o
52b2obo17bo6bo17bob2o$41b2o11b2o67b2o2bo31bo2b2o49bo2bob3o10b2o2b2o6b
2o2b2o10b3obo2bo$42bo11bo69bob2o31b2obo50b2o6bo9bo2bob2o4b2obo2bo9bo6b
2o$42bo11bo66b2obobo10b2o9b2o10bobob2o54b2o10bob2o8b2obo10b2o$42bo11bo
66b2ob2o11b2o9b2o11b2ob2o63b3o16b3o$121b2ob2o35b2ob2o63bo2b3o10b3o2bo$
123bo39bo66b2o2b3obo2bob3o2b2o$123b2o37b2o68b2o3b6o3b2o$123b2o37b2o68b
obo10bobo$123b2o37b2o69b6o2b6o$238bo2bo$232bob2o8b2obo$232b2obo8bob2o
8$40bo$39bobo$39bobo5bob2o$38b2ob2o2b4obo$41bo2bo194bo4bo$40b2o3bo2b2o
187b2ob4ob2o$35bob2obob3obo2bo189bo4bo$35b2obobo3bob2o87b2o15b2o$43b2o
89bo19bo$39b2o2bobo3b2o86bo13bo$38bo2bo2b2ob3obo81bo3bo13bo3bo$37bob3o
bo2bo4bo78b4o3bo13bo3b4o$37bobo4b2ob4o84bo17bo$2b2obo6b2obo20b2obob2ob
obo45b2obo6b2obo74b2o5b2obo6b2obo23bo16b3o$2bob2o6bob2o21bob3o4bob3o
41bob2o6bob2o75bo5bob2o6bob2o23bo16bobo$2o4b2o2b2o4b2o17bo2bo3b3obobo
2bob2o35b2o4b2o2b2o4b2o21b2o27b2o20bo10b2o2b2o4b2o20bobo15b3o$o5bo3bo
5bo18b2obob2obo2bob2obobo36bo5bo3bo5bo22bo2b2o21b2o2bo20b2o9bo3bo5bo
22bo$bo5bo3bo5bo18bo2bobob2ob2obobo2bo36bo5bo3bo5bo22b2ob2o19b2ob2o33b
o3bo5bo21bo$2o4b2o2b2o4b2o18bo7b2o2bobo2b2o35b2o4b2o2b2o4b2o25b2o19b2o
24b2o9b2o2b2o4b2o21bo29bo$2b2obo6b2obo21b5o5b2o43b2obo4bo5bo26b2o5b3o
3b3o5b2o25bo5b2obo4bo5bo22bo16b3o10bo$2bob2o6bob2o27bob3o44bob2o5bo5bo
22b2ob2o5bobo3bobo5b2ob2o21bo6bob2o5bo5bo20bobo15bobo9bobo$2o4b2o2b2o
4b2o21bo2b2o5bo46b2o2b2o4b2o21bo2b2o6b3o3b3o6b2o2bo20b2o3b2o8b2o4b2o
21bo16b3o10bo$o5bo3bo5bo22b2o7bo47bo3bo5bo22b2o27b2o25bo9bo5bo22bo29bo
$bo5bo3bo5bo26b3o2bo47bo3bo5bo72b2o4bo9bo5bo51bo$2o4b2o2b2o4b2o21b2o3b
3o2bo46b2o2b2o4b2o73bo3b2o8b2o4b2o51bo$2b2obo6b2obo20bo2bo2bobob6o40b
2obo6b2obo29bo17bo26bo6b2obo6b2obo52bobo$2bob2o6bob2o20b3o2b4ob2o4bo
39bob2o6bob2o24b4o3bo13bo3b4o21b2o5bob2o6bob2o53bo$47bo3b2o2bo77bo3bo
13bo3bo98bo$35bob2ob2o11b3o81bo13bo$35b2ob3o2bo2b2o2bobo81bo19bo$41b3o
bobob3obo81b2o15b2o$40bo4b2ob2obobo$40b2o4bobo2bob2o$38b2o3b2obob2obo$
35bobo2bob3ob3o2bob2o179bo4bo$33b3ob2ob2o2bobo4b2o2bob2o173b2ob4ob2o$
32bo8bo2b2ob4o3bo3bo175bo4bo$32bo2b2ob2obo2bo2bo2bob2ob2obobo$31b2obob
obobo10bobobobob2o$34bo3bo14bo3bo$34b2o2b2o12b2o2b2o3$43b3o$43bobo$43b
3o4$43b3o$43bobo$43b3o3$34b2o2b2o12b2o2b2o$34bo3bo14bo3bo$31b2obobobob
o10bobobobob2o$32bo2b2ob2obo2bo2bo2bob2ob2obobo$32bo8bo2b2ob4o3bo3bo$
33b3ob2ob2o2bobo4b2o2bob2o$35bobo2bob3ob3o2bob2o$38b2o3b2obob2obo$40b
2o4bobo2bob2o$40bo4b2ob2obobo$41b3obobob3obo$35b2ob3o2bo2b2o2bobo$35bo
b2ob2o11b3o$47bo3b2o2bo$36b3o2b4ob2o4bo$36bo2bo2bobob6o$39b2o3b3o2bo$
44b3o2bo$39b2o7bo$39bo2b2o5bo$43bob3o$37b5o5b2o$36bo7b2o2bobo2b2o$36bo
2bobob2ob2obobo2bo$35b2obob2obo2bob2obobo$35bo2bo3b3obobo2bob2o$37bob
3o4bob3o$36b2obob2obobo$37bobo4b2ob4o$37bob3obo2bo4bo$38bo2bo2b2ob3obo
$39b2o2bobo3b2o$43b2o$35b2obobo3bob2o$35bob2obob3obo2bo$40b2o3bo2b2o$
41bo2bo$38b2ob2o2b4obo$39bobo5bob2o$39bobo$40bo!
#C [[ GRID THEME BOOK ]]

Figure 3.27: buckaroo loop

A loop of gliders that are reflected around by 4 buckaroos.

RLE code: Select all

x = 45, y = 39, rule = B3/S23
22b2o$23bo$23bob2o5b2o$24bo7bobo$28bo4b3o7b2o$7b2o17bo2bo4b3o6b2o$7b2o
18b2o4b3o$32bobo$32b2o3$41bo$33bo5b3o$7b3o24bo3bo$6bo3bo21b3o3b2o2$5bo
5bo23bo$5b2o3b2o23bo$36bo2$8bo$9bo23b2o3b2o$9bo23bo5bo2$5b2o3b3o21bo3b
o$6bo3bo24b3o$3b3o5bo$3bo3$11b2o$10bobo$9b3o4b2o18b2o$2o6b3o4bo2bo17b
2o$2o7b3o4bo$10bobo7bo$11b2o5b2obo$21bo$21b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.28: Pentadecathlon relay

A period 60 oscillator consisting of a glider bouncing back and forth between two pentadecathlons.

RLE code: Select all

x = 41, y = 8, rule = B3/S23
21b3o$23bo3bo2bo4bo2bo$22bo2b3o2b6o2b3o$27bo2bo4bo2bo2$2bo2bo4bo2bo$3o
2b6o2b3o$2bo2bo4bo2bo!
#C [[ GRID THEME BOOK ]]

Figure 3.29(a): silver reflector

497-tick stable reflector Discovered in November 1998 The smallest and fastest spartan 180- and 90-degree stable reflector.
More info: https://www.conwaylife.com/wiki/Silver%27s_reflector

RLE code: Select all

x = 219, y = 194, rule = B3/S23
o$b2o$2o122$125bo$126bo$124b3o6$212b2o$212bo$210bobo$168bo37b2o2b2o$
142bo9bo15b3o35b2o$142b3o5b3o18bo$145bo3bo20b2o11b2o$144b2o3b2o32b2o8$
158b2o52b2o$158b2o34b2o16bobo$146b2o45bobo18bo$145bo2bo44bo20b2o$140b
2o4b2o44b2o4b2o$139bobo55bobo$139bo57bo$138b2o56b2o7b2o$148b2o33b2o20b
2o$148bo34bo$149b3o32b3o$151bo34bo11$195bo$195b3o$198bo$197b2o10$217b
2o$217b2o9$202b2o$202b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.29(b): Snark

The fastest and smallest known 90-degree stable glider reflector.
More info: https://www.conwaylife.com/wiki/Snark

RLE code: Select all

x = 32, y = 25, rule = B3/S23
2bo$obo$b2o4$22bo$20b3o$19bo$19b2o3$27b2o$28bo$28bob2o$20b2o4b3o2bo$
20b2o3bo3b2o$25b4o$11b2o15bo$10bobo12b3o$10bo13bo$9b2o14b5o$29bo$27bo$
27b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.30(a): Period 43 oscillator

The first period 43 oscillator discovered, based on the "Snark" stable reflector.

RLE code: Select all

x = 65, y = 65, rule = B3/S23
27b2o$27bobo$29bo4b2o$25b4ob2o2bo2bo$25bo2bobobobob2o$28bobobobo$29b2o
bobo$33bo2$19b2o$20bo7b2o$20bobo5b2o$21b2o3$27b2o$26bobo7bobo$28bo8b2o
$37bo$31b2o22bo$31bo21b3o$32b3o17bo$34bo17b2o3$60b2o$16b2o30bo12bo$3b
2o12b2o30bo11bob2o$4bo11bo30b3o3b2o4b3o2bo$2bo50b2o3bo3b2o$2b5o14b2o
35b4o$7bo13bo22b2o15bo$4b3o12bobo21bobo12b3o$3bo15b2o22bo13bo$3b4o35b
2o14b5o$b2o3bo3b2o50bo$o2b3o4b2o3b3o30bo11bo$2obo11bo30b2o12b2o$3bo12b
o30b2o$3b2o3$11b2o17bo$12bo17b3o$9b3o21bo$9bo22b2o$27bo$26b2o8bo$26bob
o7bobo$36b2o3$42b2o$35b2o5bobo$35b2o7bo$44b2o2$31bo$30bobob2o$30bobobo
bo$27b2obobobobo2bo$27bo2bo2b2ob4o$29b2o4bo$35bobo$36b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.30(b): Period 53 oscillator

The first period 53 oscillator discovered, based on the "Snark" stable reflector.

RLE code: Select all

x = 75, y = 75, rule = B3/S23
32b2o$32bobo$34bo4b2o$30b4ob2o2bo2bo$30bo2bobobobob2o$33bobobobo$34b2o
bobo$38bo2$24b2o$25bo7b2o$25bobo5b2o$26b2o3$32b2o$31bobo$33bo$44bo$36b
2o7b2o$36bo7b2o$37b3o$39bo2$65bo$63b3o$62bo$62b2o$19bo$19b2o$18bobo49b
2o$58bo12bo$3b2o54bo11bob2o$4bo52b3o3b2o4b3o2bo$2bo60b2o3bo3b2o$2b5o
14b2o45b4o$7bo13bo32b2o15bo$4b3o12bobo31bobo12b3o$3bo15b2o32bo13bo$3b
4o45b2o14b5o$b2o3bo3b2o60bo$o2b3o4b2o3b3o52bo$2obo11bo54b2o$3bo12bo$3b
2o49bobo$54b2o$55bo$11b2o$12bo$9b3o$9bo2$35bo$35b3o$29b2o7bo$28b2o7b2o
$30bo$41bo$41bobo$41b2o3$47b2o$40b2o5bobo$40b2o7bo$49b2o2$36bo$35bobob
2o$35bobobobo$32b2obobobobo2bo$32bo2bo2b2ob4o$34b2o4bo$40bobo$41b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.31: Herschel

A heptomino that occurs at generation 20 of the B-heptomino.
More info: https://www.conwaylife.com/wiki/Herschel

RLE code: Select all

x = 3, y = 4, rule = B3/S23
o2b$3o$obo$2bo!
#C [[ GRID THEME BOOK ]]

Figure 3.32: B-heptomino

A heptomino that evolves into a block and a Herschel after 20 generations.
More info: https://www.conwaylife.com/wiki/B-heptomino

RLE code: Select all

x = 4, y = 3, rule = B3/S23
ob2o$3ob$bo!
#C [[ GRID THEME BOOK ]]

Figure 3.33: R64

A Herschel conduit that rotates a Herschel clockwise by 90 degrees in 64 generations. Has a repeat time of 61 generations.

RLE code: Select all

x = 23, y = 26, rule = B3/S23
10b2o$10b2o5b2o$17b2o3$15b2o$15b2o$21b2o$21b2o4$bo$bobo$b3o$3bo4$3b2ob
2o$2bobobobo$2bobo2bo$b2obo$o3b2o$bobo2bobo$2ob2o2b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.34(b): Fx77

A Herschel conduit that moves a Herschel forward and flips it in 77 generations. Has a repeat time of 61 generations, which can be reduced to 57 with a different eater for the second output glider.

RLE code: Select all

x = 22, y = 31, rule = B3/S23
19bo$18bobo$18bobo$16b3ob2o$15bo$16b3ob2o$18bob2o2$o$3o$3bo$2b2o11b2o$
15b2o6$bo$bobo$b3o$3bo6$16b2o$16bobo$18bo$18b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.35(a): Herschel track 1

A simple Herschel track constructed from the R64 and Fx77 Herschel conduits.

RLE code: Select all

x = 111, y = 111, rule = B3/S23
46bo$45bobo$45bobo22b2o$43b3ob2o21bo$42bo25bobo$43b3ob2o19b2o$45bob2o
38b2o$87b2o5b2o$27bo66b2o$27b3o$30bo$13b2o14b2o11b2o11bo36b2o$13b2o27b
2o9b3o36b2o$53bobo42b2o$53bo44b2o$7b2o$7b2o$11b2o$11b2o15bo49bo$28bobo
47bobo$28b3o36b2o9b3o$30bo23b2o11b2o11bo$6b2o47bo$6b2o44b3o$52bo$26bo
3b2o48b2ob2o$25bobo3bo38bob2o5bobobobo$25b2o3bo12b2o23b3ob2o5bobo2bo
16b2o$29bo13bobo21bo10b2obo8b3o8bo$25b5obo13bo22b3ob2o3bo3b2o7bo8bobo$
19b3o3bo4b2o13b2o23bobo5bobo2bobo3b3o7b2o$20bo5b3o41bobo4b2ob2o2b2o$
18b3o7bob2o39bo$29bobo4$26b2obo$26b2ob3o$2bo29bo$2b3o21b2ob3o$5bo21bob
o$4b2o14b2o5bobo68b2o6bo$20b2o6bo53b2o14b2o5bobo$83bo21bobo$80b3o21b2o
b3o$80bo29bo$104b2ob3o$104b2obo4$86b2o$87bo8b3o$87bobo8bo$11b3o7b2o65b
2o7b3o$12bo8bobo$12b3o8bo$23b2o4$3bob2o$b3ob2o$o29bo$b3ob2o21b3o$3bobo
21bo$3bobo5b2o14b2o53bo6b2o$4bo6b2o68bobo5b2o14b2o$81bobo21bo$79b3ob2o
21b3o$78bo29bo$79b3ob2o$81bob2o4$79bobo$39bo39b2obo7b3o$25b2o2b2ob2o4b
obo41b3o5bo$10b2o7b3o3bobo2bobo5bobo23b2o13b2o4bo3b3o$9bobo8bo7b2o3bo
3b2ob3o22bo13bob5o$9bo8b3o8bob2o10bo21bobo13bo$8b2o16bo2bobo5b2ob3o23b
2o12bo3b2o$25bobobobo5b2obo38bo3bobo$26b2ob2o48b2o3bo$58bo$56b3o44b2o$
55bo47b2o$30bo11b2o11b2o23bo$30b3o9b2o36b3o$30bobo47bobo$32bo49bo15b2o
$98b2o$102b2o$102b2o$11b2o44bo$11b2o42bobo$17b2o36b3o9b2o27b2o$17b2o
36bo11b2o11b2o14b2o$80bo$81b3o$15b2o66bo$15b2o5b2o$22b2o38b2obo$41b2o
19b2ob3o$40bobo25bo$40bo21b2ob3o$39b2o22bobo$63bobo$64bo!
#C [[ GRID THEME BOOK ]]

Figure 3.35(b): Herschel track 1: period 109 oscillator

A period 109 oscillator constructed from the R64 and Fx77 Herschel conduits.

RLE code: Select all

x = 111, y = 111, rule = B3/S23
46bo$45bobo$45bobo22b2o$43b3ob2o21bo$42bo25bobo$43b3ob2o19b2o$45bob2o
38b2o$87b2o5b2o$27bo66b2o$27b3o$30bo$13b2o14b2o11b2o11bo27b2o7b2o$13b
2o27b2o9b3o25b2o9b2o$53bobo25bo5bo10b2o$53bo27bo16b2o$7b2o77bob3o$7b2o
76bobo2bo$11b2o69b2obobob2o$11b2o$86b3o$15b3o49b2o8bo$15bobo36b2o11b2o
6b2o$6b2o7bo3bo35bo20b2o$6b2o5bo2b2obo32b3o$15bo3bo32bo$16b2o8bo3b2o
48b2ob2o$11bo13bobo3bo38bob2o5bobobobo$11bo5bo7b2o3bo12b2o23b3ob2o5bob
o2bo16b2o$12bo4bo11bo13bobo21bo10b2obo19bo$12b3o10b5obo13bo22b3ob2o3bo
3b2o16bobo$25bo4b2o13b2o23bobo5bobo2bobo13b2o$26b3o41bobo4b2ob2o2b2o$
28bob2o39bo$20bobo6bobo$21b2o$21bo2$26b2obo$26b2ob3o$2bo29bo$2b3o21b2o
b3o$5bo21bobo$4b2o14b2o5bobo68b2o6bo$20b2o6bo53b2o14b2o5bobo$83bo21bob
o$80b3o21b2ob3o$80bo29bo$104b2ob3o$104b2obo4$86b2o$87bo8b3o$87bobo8bo$
11b3o7b2o65b2o7b3o$12bo8bobo$12b3o8bo$23b2o4$3bob2o$b3ob2o$o29bo$b3ob
2o21b3o$3bobo21bo$3bobo5b2o14b2o53bo6b2o$4bo6b2o68bobo5b2o14b2o$81bobo
21bo$79b3ob2o21b3o$78bo29bo$79b3ob2o$81bob2o2$89bo$88b2o$79bobo6bobo$
39bo39b2obo$25b2o2b2ob2o4bobo41b3o$10b2o13bobo2bobo5bobo23b2o13b2o4bo$
9bobo16b2o3bo3b2ob3o22bo13bob5o10b3o$9bo19bob2o10bo21bobo13bo11bo4bo$
8b2o16bo2bobo5b2ob3o23b2o12bo3b2o7bo5bo$25bobobobo5b2obo38bo3bobo13bo$
26b2ob2o48b2o3bo8b2o$58bo32bo3bo$56b3o32bob2o2bo5b2o$33b2o20bo35bo3bo
7b2o$34b2o6b2o11b2o36bobo$33bo8b2o49b3o$22b3o$98b2o$20b2obobob2o69b2o$
20bo2bobo76b2o$20b3obo77b2o$11b2o16bo27bo$11b2o10bo5bo25bobo$17b2o9b2o
25b3o9b2o27b2o$17b2o7b2o27bo11b2o11b2o14b2o$80bo$81b3o$15b2o66bo$15b2o
5b2o$22b2o38b2obo$41b2o19b2ob3o$40bobo25bo$40bo21b2ob3o$39b2o22bobo$
63bobo$64bo!
#C [[ GRID THEME BOOK ]]

Figure 3.36: Herschel track 2

A slightly more complicated Herschel track constructed from the R64 and Fx77 Herschel conduits.

RLE code: Select all

x = 164, y = 164, rule = B3/S23
46bo$45bobo$45bobo22b2o$43b3ob2o21bo$42bo25bobo$43b3ob2o19b2o$45bob2o
38b2o$87b2o5b2o$27bo66b2o$27b3o$30bo$13b2o14b2o11b2o11bo36b2o$13b2o27b
2o9b3o36b2o$53bobo42b2o$53bo44b2o$7b2o$7b2o$11b2o$11b2o15bo49bo$28bobo
47bobo$28b3o36b2o9b3o$30bo23b2o11b2o11bo$6b2o47bo$6b2o44b3o$52bo$26bo
3b2o48b2ob2o$25bobo3bo38bob2o5bobobobo$25b2o3bo12b2o23b3ob2o5bobo2bo
16b2o$29bo13bobo21bo10b2obo8b3o8bo$25b5obo13bo22b3ob2o3bo3b2o7bo8bobo$
19b3o3bo4b2o13b2o23bobo5bobo2bobo3b3o7b2o$20bo5b3o41bobo4b2ob2o2b2o$
18b3o7bob2o39bo$29bobo4$26b2obo$26b2ob3o$2bo29bo$2b3o21b2ob3o$5bo21bob
o$4b2o14b2o5bobo68b2o6bo$20b2o6bo53b2o14b2o5bobo$83bo21bobo$80b3o21b2o
b3o$80bo29bo$104b2ob3o$104b2obo4$107bobo$96b3o7bob2o$98bo5b3o$11b3o7b
2o74b3o3bo4b2o13b2o$12bo8bobo79b5obo13bo$12b3o8bo83bo13bobo$23b2o78b2o
3bo12b2o$103bobo3bo30b2o$104bo3b2o30b2o5b2o$147b2o$3bob2o77b2o$b3ob2o
77b2o$o29bo77bo36b2o$b3ob2o21b3o75b3o36b2o$3bobo21bo78bobo42b2o$3bobo
5b2o14b2o60b2o15bo44b2o$4bo6b2o76b2o$85b2o$85b2o$131bo$131bobo$91b2o
27b2o9b3o$91b2o14b2o11b2o11bo$108bo$105b3o$105bo$39bo93b2ob2o$25b2o2b
2ob2o4bobo82bob2o5bobobobo$10b2o7b3o3bobo2bobo5bobo80b3ob2o5bobo2bo16b
2o$9bobo8bo7b2o3bo3b2ob3o77bo10b2obo8b3o8bo$9bo8b3o8bob2o10bo77b3ob2o
3bo3b2o7bo8bobo$8b2o16bo2bobo5b2ob3o80bobo5bobo2bobo3b3o7b2o$25bobobob
o5b2obo82bobo4b2ob2o2b2o$26b2ob2o93bo$58bo$56b3o$55bo$30bo11b2o11b2o
14b2o$30b3o9b2o27b2o$30bobo$32bo$77b2o$77b2o$73b2o76b2o6bo$11b2o44bo
15b2o60b2o14b2o5bobo$11b2o42bobo78bo21bobo$17b2o36b3o75b3o21b2ob3o$17b
2o36bo77bo29bo$78b2o77b2ob3o$78b2o77b2obo$15b2o$15b2o5b2o30b2o3bo$22b
2o30bo3bobo$41b2o12bo3b2o78b2o$40bobo13bo83bo8b3o$40bo13bob5o79bobo8bo
$39b2o13b2o4bo3b3o74b2o7b3o$57b3o5bo$54b2obo7b3o$54bobo4$56bob2o$54b3o
b2o$53bo29bo$54b3ob2o21b3o$56bobo21bo$56bobo5b2o14b2o53bo6b2o$57bo6b2o
68bobo5b2o14b2o$134bobo21bo$132b3ob2o21b3o$131bo29bo$132b3ob2o$134bob
2o4$132bobo$92bo39b2obo7b3o$78b2o2b2ob2o4bobo41b3o5bo$63b2o7b3o3bobo2b
obo5bobo23b2o13b2o4bo3b3o$62bobo8bo7b2o3bo3b2ob3o22bo13bob5o$62bo8b3o
8bob2o10bo21bobo13bo$61b2o16bo2bobo5b2ob3o23b2o12bo3b2o$78bobobobo5b2o
bo38bo3bobo$79b2ob2o48b2o3bo$111bo$109b3o44b2o$108bo47b2o$83bo11b2o11b
2o23bo$83b3o9b2o36b3o$83bobo47bobo$85bo49bo15b2o$151b2o$155b2o$155b2o$
64b2o44bo$64b2o42bobo$70b2o36b3o9b2o27b2o$70b2o36bo11b2o11b2o14b2o$
133bo$134b3o$68b2o66bo$68b2o5b2o$75b2o38b2obo$94b2o19b2ob3o$93bobo25bo
$93bo21b2ob3o$92b2o22bobo$116bobo$117bo!
#C [[ GRID THEME BOOK ]]

Figure 3.37: phoenix

A period 2 oscillator found in December 1971. It is the smallest known phoenix.
More info: https://www.conwaylife.com/wiki/Phoenix_1

RLE code: Select all

x = 8, y = 8, rule = B3/S23
3bo4b$3bobo2b$bo6b$6b2o$2o6b$6bob$2bobo3b$4bo!
#C [[ GRID THEME BOOK ]]

Figure 3.41: period 3 volatile

A period 3 oscillator with the property that every cell oscillates.

RLE code: Select all

x = 33, y = 26, rule = B3/S23
9b3o5b3ob3o5b3o$12b3o3b2ob2o3b3o$18b2ob2o$12bob4o5b4obo$10bo19bo$10bo
19bo$10bo19bo$8b2o18b2o$8b2o18b2o$7b2o18b2o$7bo19bo$bobo2bob2o11bobo2b
ob2o$o3bo6bo8bo3bo6bo$bo6bo3bo8bo6bo3bo$3b2obo2bobo11b2obo2bobo$5bo19b
o$4b2o18b2o$3b2o18b2o$3b2o18b2o$2bo19bo$2bo19bo$2bo19bo$4bob4o5b4obo$
10b2ob2o$4b3o3b2ob2o3b3o$b3o5b3ob3o5b3o!
#C [[ GRID THEME BOOK ]]

Figure 3.42: Rich's p16

A period 16 oscillator that was found by Rich Holmes in July 2016, while using Adam P. Goucher's apgsearch.
More info: https://conwaylife.com/wiki/Rich%27s_p16

RLE code: Select all

x = 15, y = 10, rule = B3/S23
5bo3bo$4bobobobo$3bo2bobo2bo$2b2ob2ob2ob2o$bo3bo3bo3bo$o2bob2ob2obo2bo
$3bo7bo$5b2ob2o$o5bobo5bo$b2ob2o3b2ob2o!
#C [[ GRID THEME BOOK ]]

Figure 3.43: Rob's p16

A period 16 oscillator that was found by Rob Liston in February 2020, while using Adam P. Goucher's apgsearch.
More info: https://conwaylife.com/wiki/Rob%27s_p16

RLE code: Select all

x = 10, y = 8, rule = B3/S23
3bo$3bob2o$3bo3b2o2$4b2o3bo$bob3o$ob2o3b3o$bobo4b2o!
#C [[ GRID THEME BOOK ]]

Figure 3.44: period 56 herschel

A period 56 Herschel track oscillator

RLE code: Select all

x = 252, y = 252, rule = B3/S23
99bo$98bobo$99bo9bobo$112bo32b2o7b2o$97b5o6bo4bo2b2o27bo2b2ob2o2bo$96b
o4bo6b2obo2bob2o28b2obobob2o$95bo2bo13b2o33bobobobo$92bo2bob2o43bo4bob
3obo5bo$91bobobo5bo38b3o5b5o5bobo$92bo2bo4bobo36bo19bo$95b2o2bo2bo36b
2o$100b2o55b5o$87b2o26bo12bo4bo15b3o5bo4bo$87bobo23b2ob2o8b2obo4bo15bo
9bo2bo$89b3o18b5o10bobobo3bo16bo9b2obo2bo$88bo3bo17bo2bo11bo2bo28bo5bo
bobo$88b2o2b5o13bo2bo13bo28bobo4bo2bo$92b2ob3o13b2o15bob2o15b2o7bo2bo
2b2o$88b2o2b5o31bo2bo13b2o2bo7b2o$88bo3bo35b3o14bo2b3o$89b3o22b2o29bo
4bo$87bobo24bo31b5o3b2o$87b2o26b3o30b2o4b2o$102bo14bo$101bobo34bo23b2o
$91b2o8bo7b2o22b3ob2o2b2o18bo2bo$92bo7bo3b2o3b2o22b4o4b2o21bo$92bobo6b
o2b2o20b2o9b2o25bo$71bo21b2o6bo25bo33b2obo$70bobo35b3o13b3o34b2o$71bo
28b2o2b2o2b2o14bo21b2o$81b4o15b6o5b2o32bobo8bo16b2o7b2o$69b5o6bo7b2o
13bo6b3o32bo9bobo4b2o9bo2b2ob2o2bo$68bo4bo6bo3b2o2b2o19bobo32b2o8b2ob
2o3b2o10b2obobob2o$67bo2bo10bo2b2o23b2o43bo2bo17bo5bo$64bo2bob2o82bo3b
o12bo4bo5bo5bo$63bobobo5bo66b2o15bo10b3o5b5o5bobo$64bo2bo4bobo65bobo
24bo9b3o7bo$67b2o2bo2bo10b3o54b3o22b2o8bobo$72b2o11b2ob2o51bo3bo31b3o
5b5o$59b2o24b2ob2o14b2o35b3o2bo2bo27b3o5bo4bo$59bobo25b2o14bo2bo2b2o
35bob2o28bo9bo2bo$61b3o39bobo4bo2bo27b3o2bo2bo38b2obo2bo$60bo3bo39bo5b
obobo26bo3bo39bo5bobobo$60b5o3bo38b2obo2bo28b3o39bobo4bo2bo$63b2o3b3o
3b2o31bo2bo29bobo24b4o13bo2bo2b2o$60b5o3bo27b3o5bo4bo30b2o24bo18b2o$
60bo3bo12bo19bo6b5o44b2o10bo4bo$61b3o10bo11b2o60b2o2bo2bo10bob2o$59bob
o12bo2bo8bo9b3o7bo38bo2bo4bobo11bo$59b2o12b3o11b3o5bo3bo5bobo36bobobo
5bo$73b3o13bo4bo5bo5bo38bo2bob2o$73bo2bo17bobobobo47bo2bo13b2o23b2o$
63b2o9bobo4b2o10b2obobob2o47bo4bo6b2o2b2o2b2o19bo2bo$64bo9b3o4b2o9bo2b
2ob2o2bo47b5o6bobo2bo2b2o11bobo$64bobo25b2o7b2o59b3o16bo4bo3bo2bo$43bo
21b2o85bo10b2o16bo4bo2bo2bo$42bobo35b2obo67bobo27b2o6bobo$43bo37bobo
68bo21b2o14bo$56b2o24bo90bobo5b2o2b2o14b2o7b2o$41b5o6b2obo2bob2o19b2o
90bo7b2o2b2o3b2o9bo2b2ob2o2bo$40bo4bo6b2o2bo4bo19b2o89b2o7b3obo4b2o10b
2obobob2o$39bo2bo14bo23b2o99bo20bobobobo$36bo2bob2o15bobo122bo14bo4bob
3obo5bo$35bobobo5bo27b2o93b2o26b3o5b5o5bobo$36bo2bo4bobo19b4o3b2o93bob
o24bo19bo$39b2o2bo2bo18b2o2bo100b3o22b2o$44b5o15b2o2bo100bo3bob2o36b5o
$31b2o13b4o15bo2bo7b2o91b2obo5bo26b3o5bo4bo$31bobo13bob2o15b2o7bo2bo2b
2o89bo5bo13b2o12bo9bo2bo$33b3o9bobo27bobo4bo2bo83b2obo5bo12bo2bo11bo9b
2obo2bo$32bo3bo7bo4b2o4bo20bo5bobobo82bo3bob2o13b2o21bo5bobobo$32b2o2b
5o4bo2b5o3bo22b2obo2bo84b3o18b2o3bo15bobo4bo2bo$36b2ob3o4b3ob3o15b3o8b
o2bo85bobo21bo4bo14bo2bo2b2o$32b2o2b5o11bo23bo4bo86b2o25b3o15b2o$32bo
3bo18bo11bo3bo4b5o100b2o$33b3o22b2o7bo3bo104b2o2bo2bo$31bobo24bo19bo
94bo2bo4bobo23b3o$31b2o26b3o5bo3bo5bobo92bobobo5bo24bo2bo$61bo4bob3obo
5bo94bo2bob2o25b2o2b2o$47b3o16bo5bo103bo2bo13b2o9bo5bo7b2o$35b2o12bo3b
2o10b2obobob2o103bo4bo6b2o4b4o8b3o8b2o$36bo11bo3bobo9bo2b2ob2o2bo103b
5o6b2o2b2ob3o5b2o$36bob2o11b3o10b2o7b2o118bo10bo2b3o$15bo21bo13b2o127b
o24bo2bo10b2o$14bobo24bo12b2o123bobo22b3o10bob2o$15bo27b2o8b3o124bo21b
3o12bo$28b2o2bo6bob4o156bobo13bo11b2o7b2o$13b5o6b2o2b2o3bo5b3o159bo10b
o4bo2bo8bo2b2ob2o2bo$12bo4bo6b2o7bo5b2o2b2o8b2o145b2o11b2o3b2o10b2obob
ob2o$11bo2bo14b4o7b3o2bo7b2o157b2o17bo5bo$8bo2bob2o25b2o2b3o179bo4bo5b
o5bo$7bobobo5bo24bo2bo150b2o26b3o5b5o5bobo$8bo2bo4bobo23b3o151bobo24bo
9b3o7bo$11b2o2bo2bo24bo154b3o23bo8bobo$16b2o13bo165bo3bo19bo2bo8b3o5b
5o$3b2o26b2o15b2o147b3o2bo2bo13b2o12b3o5bo4bo$3bobo20b2o2bobo14bo2bo2b
2o147bob2o6b2o2b5obo11bo9bo2bo$5b3o17bobo19bobo4bo2bo139b3o2bo2bo4b2ob
3o3b3o22b2obo2bo$4bo3bo16bo22bo5bobobo138bo3bo8b2o29bo5bobobo$4b5o3bo
12b2obo22b2obo2bo140b3o9b2o4bo23bobo4bo2bo$7b2o3b3o12b2o22bo2bo141bobo
13bo2bo15b2o7bo2bo2b2o$4b5o3bo27b3o5bo4bo142b2o14b3o15bo2bo7b2o$4bo3bo
32bo6b5o156b2o19bo2bo$5b3o22b2o172b2o2bo2bo18b2ob2o$3bobo24bo9b3o7bo
150bo2bo4bobo20b2o4b2o$3b2o26b3o5bo3bo5bobo148bobobo5bo27b2o$33bo4bo5b
o5bo150bo2bob2o15b2o$16bo2bo18bobobobo159bo2bo15b3o20b2o$7b2o9b4o3b2o
10b2obobob2o159bo4bo6b2o2bo2bobo19b2o$8bo6bo9b2o9bo2b2ob2o2bo159b5o6b
2o2b2o2b2o$8bobo5b2o2b2o3b2o9b2o7b2o174b2o24bo$9b2o14bo182bo37bobo$16b
2o6bobo180bobo35bo2bo$15b2o7bob2o180bo21b2o12bo2bo$16b2o2bo208bobo$
229bo10bo3bo2bo$25b2o201b2o9b3o4b2o$25b2o211bo2bo$238b2o$239bo$23bo
217b2o$23bo215b4o$238bo2bo$10b2o15b2o192b2o17bo$10bobo14bobo192bo$29bo
192bobo14bobo$11bo17b2o192b2o15b2o$10bo2bo$9b4o215bo$9b2o217bo$12bo$
12b2o$10bo2bo211b2o$4b2o4b3o9b2o201b2o$4bo2bo3bo10bo$20bobo208bo2b2o$
4bo2bo12b2o21bo180b2obo7b2o$3bo2bo35bobo180bobo6b2o$3bobo37bo182bo14b
2o$4bo24b2o174b2o7b2o9b2o3b2o2b2o5bobo$25b2o2b2o2b2o6b5o159bo2b2ob2o2b
o9b2o9bo6bo$4b2o19bobo2bo2b2o6bo4bo159b2obobob2o10b2o3b4o9b2o$4b2o20b
3o15bo2bo159bobobobo18bo2bo$27b2o15b2obo2bo150bo5bo5bo4bo$12b2o27bo5bo
bobo148bobo5bo3bo5b3o26b2o$12b2o4b2o20bobo4bo2bo150bo7b3o9bo24bobo$17b
2ob2o18bo2bo2b2o172b2o22b3o$18bo2bo19b2o156b5o6bo32bo3bo$9b2o7bo2bo15b
3o14b2o142bo4bo5b3o27bo3b5o$4b2o2bo2bo7b2o15bo2bo13bobo141bo2bo22b2o
12b3o3b2o$bo2bo4bobo23bo4b2o9b3o140bo2bob2o22bob2o12bo3b5o$obobo5bo29b
2o8bo3bo138bobobo5bo22bo16bo3bo$bo2bob2o22b3o3b3ob2o4bo2bo2b3o139bo2bo
4bobo19bobo17b3o$4bo2bo9bo11bob5o2b2o6b2obo147b2o2bo2bo14bobo2b2o20bob
o$5bo4bo5b3o12b2o13bo2bo2b3o147b2o15b2o26b2o$6b5o5b3o8bo2bo19bo3bo165b
o13b2o$16bobo8bo23b3o154bo24bo2bo2b2o$8bo7b3o9bo24bobo151b3o23bobo4bo
2bo$7bobo5b5o5b3o26b2o150bo2bo24bo5bobobo$8bo5bo5bo4bo179b3o2b2o25b2ob
o2bo$14bo5bo17b2o157b2o7bo2b3o7b4o14bo2bo$13b2obobob2o10b2o3b2o11b2o
145b2o8b2o2b2o5bo7b2o6bo4bo$12bo2b2ob2o2bo8bo2bo4bo10bo159b3o5bo3b2o2b
2o6b5o$12b2o7b2o11bo13bobo156b4obo6bo2b2o$34bo12b3o21bo124b3o8b2o27bo$
31b2obo10b3o22bobo123b2o12bo24bobo$31b2o10bo2bo24bo127b2o13bo21bo$42b
3o2bo10bo118b2o7b2o10b3o11b2obo$46b2o5b3ob2o2b2o6b5o103bo2b2ob2o2bo9bo
bo3bo11bo$32b2o8b3o8b4o4b2o6bo4bo103b2obobob2o10b2o3bo12b2o$32b2o7bo5b
o9b2o13bo2bo103bo5bo16b3o$41b2o2b2o25b2obo2bo94bo5bob3obo4bo$41bo2bo
24bo5bobobo92bobo5bo3bo5b3o26b2o$42b3o23bobo4bo2bo94bo19bo24bobo$68bo
2bo2b2o104bo3bo7b2o22b3o$69b2o100b5o4bo3bo11bo18bo3bo$37b2o15b3o25b2o
86bo4bo23bo11b5o2b2o$32b2o2bo2bo14bo4bo21bobo85bo2bo8b3o15b3ob3o4b3ob
2o$29bo2bo4bobo15bo3b2o18b3o84bo2bob2o22bo3b5o2bo4b5o2b2o$28bobobo5bo
21b2o13b2obo3bo82bobobo5bo20bo4b2o4bo7bo3bo$29bo2bob2o9bo11bo2bo12bo5b
ob2o83bo2bo4bobo27bobo9b3o$32bo2bo9bo12b2o13bo5bo89b2o2bo2bo7b2o15b2ob
o13bobo$33bo4bo5b3o26bo5bob2o91b2o7bo2bo15b4o13b2o$34b5o36b2obo3bo100b
o2b2o15b5o$55b2o22b3o100bo2b2o18bo2bo2b2o$36bo19bo24bobo93b2o3b4o19bob
o4bo2bo$35bobo5b5o5b3o26b2o93b2o27bo5bobobo$36bo5bob3obo4bo14bo122bobo
15b2obo2bo$42bobobobo20bo99b2o23bo14bo2bo$41b2obobob2o10b2o4bob3o7b2o
89b2o19bo4bo2b2o6bo4bo$40bo2b2ob2o2bo9b2o3b2o2b2o7bo90b2o19b2obo2bob2o
6b5o$40b2o7b2o14b2o2b2o5bobo90bo24b2o$61bo14b2o21bo68bobo37bo$60bobo6b
2o27bobo67bob2o35bobo$59bo2bo2bo4bo16b2o10bo85b2o21bo$58bo2bo3bo4bo16b
3o59b2o7b2o25bobo$67bobo11b2o2bo2bobo6b5o47bo2b2ob2o2bo9b2o4b3o9bo$58b
o2bo19b2o2b2o2b2o6bo4bo47b2obobob2o10b2o4bobo9b2o$60b2o23b2o13bo2bo47b
obobobo17bo2bo$100b2obo2bo38bo5bo5bo4bo13b3o$97bo5bobobo36bobo5bo3bo5b
3o11b3o12b2o$84bo11bobo4bo2bo38bo7b3o9bo8bo2bo12bobo$82b2obo10bo2bo2b
2o60b2o11bo10b3o$81bo4bo10b2o44b5o6bo19bo12bo3bo$65b2o18bo24b2o30bo4bo
5b3o27bo3b5o$60b2o2bo2bo13b4o24bobo29bo2bo31b2o3b3o3b2o$57bo2bo4bobo
39b3o28bo2bob2o38bo3b5o$56bobobo5bo39bo3bo26bobobo5bo39bo3bo$57bo2bob
2o38bo2bo2b3o27bo2bo4bobo39b3o$60bo2bo9bo28b2obo35b2o2bo2bo14b2o25bobo
$61bo4bo5b3o27bo2bo2b3o35b2o14b2ob2o24b2o$62b5o5b3o31bo3bo51b2ob2o11b
2o$72bobo8b2o22b3o54b3o10bo2bo2b2o$64bo7b3o9bo24bobo65bobo4bo2bo$63bob
o5b5o5b3o10bo15b2o66bo5bobobo$64bo5bo5bo4bo12bo3bo82b2obo2bo$70bo5bo
17bo2bo43b2o23b2o2bo10bo2bo$69b2obobob2o10b2o3b2ob2o8b2o32bobo19b2o2b
2o3bo6bo4bo$68bo2b2ob2o2bo9b2o4bobo9bo32b3o6bo13b2o7bo6b5o$68b2o7b2o
16bo8bobo32b2o5b6o15b4o$104b2o21bo14b2o2b2o2b2o28bo$89b2o34b3o13b3o35b
obo$87bob2o33bo25bo6b2o21bo$87bo25b2o9b2o20b2o2bo6bobo$87bo21b2o4b4o
22b2o3b2o3bo7bo$87bo2bo18b2o2b2ob3o22b2o7bo8b2o$88b2o23bo34bobo$134bo
14bo$96b2o4b2o30b3o26b2o$96b2o3b5o31bo24bobo$101bo4bo29b2o22b3o$101b3o
2bo14b3o35bo3bo$93b2o7bo2b2o13bo2bo31b5o2b2o$88b2o2bo2bo7b2o15b2obo15b
2o13b3ob2o$85bo2bo4bobo28bo13bo2bo13b5o2b2o$84bobobo5bo28bo2bo11bo2bo
17bo3bo$85bo2bob2o9bo16bo3bobobo10b5o18b3o$88bo2bo9bo15bo4bob2o8b2ob2o
23bobo$89bo4bo5b3o15bo4bo12bo26b2o$90b5o55b2o$111b2o36bo2bo2b2o$92bo
19bo36bobo4bo2bo$91bobo5b5o5b3o38bo5bobobo$92bo5bob3obo4bo43b2obo2bo$
98bobobobo33b2o13bo2bo$97b2obobob2o28b2obo2bob2o6bo4bo$96bo2b2ob2o2bo
27b2o2bo4bo6b5o$96b2o7b2o32bo$140bobo9bo$151bobo$152bo!
#C [[ GRID THEME BOOK ]]

Exercise 3.2: billiard table 5x3

A 5-by-3 box.

RLE code: Select all

x = 5, y = 7, rule = B3/S23
b3o$o3bo$o3bo$o3bo$o3bo$o3bo$b3o!
#C [[ GRID THEME BOOK ]]

Exercise 3.4: extend snacker

A demonstration of how to extend the p9 snacker oscillator.

RLE code: Select all

x = 34, y = 11, rule = B3/S23
2o27b2o$bo25bo2bo$bobo23b3o$2b2o14bo4bo6b3o$7bo4bo3b2ob4ob2o3bo3bo$5b
2ob4ob2o3bo4bo6b3o$7bo4bo14b3o$2b2o23bo2bo$bobo25b2o$bo$2o!
#C [[ GRID THEME BOOK ]]

Exercise 3.5: T-nosed p6

A period 6 oscillator found in September 1994.
More info: https://www.conwaylife.com/wiki/T-nosed_p6

RLE code: Select all

x = 19, y = 11, rule = B3/S23
6b2o3b2o$6bobobobo$7bo3bo2$2bobobo5bobobo$3obob2o3b2obob3o$2bobobo5bob
obo2$7bo3bo$6bobobobo$6b2o3b2o!
#C [[ GRID THEME BOOK ]]

Exercise 3.6: pipsquirter reflector

A pipsquirter being used to reflect a glider.
More info: https://www.conwaylife.com/wiki/Pipsquirter

RLE code: Select all

x = 22, y = 16, rule = B3/S23
16b2o$2bo13b2o$3bo$b3o10b4o$13bo4bo$12bob5o$12bo2bo3b2o$2o9b2obob3o2bo
$2o2b2o8bobobob2o$4bobob2o2b2obo2bo$5bo7bobob2o$11b2obobo$2b2o8bobobo$
3bo8bo2bo$3o10b2o$o!
#C [[ GRID THEME BOOK ]]

Exercise 3.8: supervolcanoes

A collection of period 4 and period 5 lightweight, middleweight, and heavyweight supervolcanoes.

RLE code: Select all

x = 83, y = 67, rule = B3/S23
39bo29b2o$9bo2bo24bo3bo25bo4bo2$8bo4bo22bo5bo23bo6bo$7bob4obo20bob5obo
17b2o2bob6obo2b2o$4b2o2bo4bo2b2o14b2o2bo5bo2b2o14bo3bobo4bobo3bo$7bobo
2bobo19bob3ob3obo13bo3bo2b4o2b4o2bo3bo$4bo4b4o4bo14bo2b2obobob2o2bo11b
4o4bo6bo4b4o$4bob2o6b2obo15bo4bobo4bo22bo2bo$2b2o4b6o4b2o9b2o5b3ob3o5b
2o10b2o3b2o6b2o3b2o$bob2ob2o6b2ob2obo8bo3b2o9b2o3bo10bo2b4o2b2o2b4o2bo
$b2obo2bo2b2o2bo2bob2o9b3o3b7o3b3o12b2o2b2o6b2o2b2o$4b2o4b2o4b2o14bobo
bo2bo2bobobo18bob2o2b2obo$b4o2bo6bo2b4o11b4o7b4o12b22o$bo4bobo4bobo4bo
12bo11bo14bo6bob2obo6bo$2b3obo8bob3o10b2ob5o3b5ob2o9bo3b2obo8bob2o3bo$
4bobob2o2b2obobo19bo3bo16b4o3bob2o2b2obo3b4o$6bo8bo17b2o9b2o16bo3bo6bo
3bo$6b2o6b2o18bo9bo13b2o4bo10bo4b2o$33bo11bo12bo2bobo12bobo2bo$33b2o9b
2o13b6ob2o4b2ob6o$64bobo6bobo$61b4obobo2bobob4o$61bo3bob2o2b2obo3bo$
62bo2bo8bo2bo$63bobo8bobo$64bo10bo6$39bo29b2o$9bo2bo24bo3bo25bo4bo2$7b
o6bo50bo8bo$7bob4obo23bobo25bob4obo$8bob2obo16b2o2b4obob4o2b2o16bobob
2obobo$8b2o2b2o16bo2bo3b5o3bo2bo12b2o3bo6bo3b2o$7bo6bo12b2obob2o11b2ob
ob2o8bobo3b2o4b2o3bobo$7b2o4b2o13bobo3b3o2bo2b3o3bobo9bo4b10o4bo$5b3ob
4ob3o11bob2o2b2obobobob2o2b2obo7b2o2b2o12b2o2b2o$2o2bo2bo6bo2bo2b2o5b
2obo2bo3bobobo3bo2bob2o5bo2b2o3bobo4bobo3b2o2bo$o2bo5b4o5bo2bo8bobo5bo
bo5bobo9b2o2b2obo3b2o3bob2o2b2o$b4obo2b4o2bob4o9bo5bobobobo5bo11bobo2b
o3b2o3bo2bobo$8b6o14bobobobo2b2ob2o2bobobobo9bobo3bo6bo3bobo$3b5o6b5o
8bob2ob2o11b2ob2obo9bob14obo$3bo14bo8bo5bo11bo5bo11bo5b2o5bo$6b2o2b2o
2b2o12b2ob3o3b2ob2o3b3ob2o12bobo8bobo$6b2o2b2o2b2o13bobo2bo3bobo3bo2bo
bo9bobob3o2bo2bo2b3obobo$29bobo3bobo3bobo3bobo9b2obo3bob4obo3bob2o$28b
2obo6b3o6bob2o11bob2o3b2o3b2obo$27bo2b2ob2o9b2ob2o2bo7b4ob2ob2o2b2ob2o
b4o$28bo3bo3b7o3bo3bo7bo22bo$29b2o2b4o2bo2b4o2b2o9b3ob2o2bo4bo2b2ob3o$
31b2o13b2o13b2o2bo8bo2b2o$31bo2bo9bo2bo17b2o6b2o$33b2o9b2o20bobo2bobo$
58b2o2b2o2bob4obo2b2o2b2o$58bo2bo4bo6bo4bo2bo$59bobobo3b6o3bobobo$60bo
2bob2o6b2obo2bo$61b2o5b4o5b2o$63b4obo2bob4o$63bo3bo4bo3bo$66bo6bo$66b
2o4b2o!
#C [[ GRID THEME BOOK ]]

Exercise 3.9: phase shift oscillator

An oscillator that can have its period adjusted by a spark.

RLE code: Select all

x = 13, y = 9, rule = B3/S23
2b2o$2bo6bo$7bo$6obo$o$b2ob2o3b2o$2bobo4bobo$2bobo6bo$3bo7b2o!
#C [[ GRID THEME BOOK ]]

Exercise 3.10: b heptomino hassle

A dot spark and an eater 2 hassling a B-heptomino.

RLE code: Select all

x = 13, y = 14, rule = B3/S23
3bo2$b2o$5o$o4bo$3o$bo$2b2o3bobo$5bobob3o$12bo$6b2ob3o$7bobo$7bobo$8bo
!
#C [[ GRID THEME BOOK ]]

Exercise 3.11: pi hassle

A domino spark can rotate a pi heptomino.

RLE code: Select all

x = 16, y = 12, rule = B3/S23
6b3o$6bo$6b3o3$b2o10b2o$o2bo8bo2bo$3o2b6o2b3o$3b2o6b2o$2bo10bo$2b2obo
4bob2o$7b2o!
#C [[ GRID THEME BOOK ]]

Exercise 3.12(a): 34P13

The smallest known period 13 oscillator. Found by Nicolay Beluchenko in 2009.
More info: https://www.conwaylife.com/wiki/34P13

RLE code: Select all

x = 16, y = 16, rule = 23/3
4b3o9b2$6bo9b$6b2o8b$5bo10b$8bo7b$4bo3bo7b$9b2o5b$2o2b3o5bo3b$2o5bo4b
2obo$7bo3bo3bo$7bobo5bo3$6b2o8b$6b2o!
#C [[ GRID THEME BOOK ]]

Exercise 3.12(b): high period sparker 31

A period 31 oscillator. Found by Matthias Merzenich in 2010.

RLE code: Select all

x = 19, y = 24, rule = B3/S23
4b2o7b2o$4b2o7b2o3$3b3o7b3o$3bo2bo5bo2bo$2bobo2bo3bo2bobo$6bo5bo$2o15b
2o$2o15b2o5$2o15b2o$2o15b2o$6bo5bo$2bobo2bo3bo2bobo$3bo2bo5bo2bo$3b3o
7b3o3$4b2o7b2o$4b2o7b2o!
#C [[ GRID THEME BOOK ]]

Exercise 3.12(c): high period sparker 32

A small period 32 sparker

RLE code: Select all

x = 21, y = 21, rule = B3/S23
$3bo13bo$2b3o2bobobobo2b3o$bobo2bo2bobo2bo2bobo$bo7bobo7bo$2b3o3bo3bo
3b3o$3bo13bo8$3bo13bo$2b3o3bo3bo3b3o$bo7bobo7bo$bobo2bo2bobo2bo2bobo$
2b3o2bobobobo2b3o$3bo13bo!
#C [[ GRID THEME BOOK ]]

Exercise 3.13: p7 duoplet sparker

A p7 duoplet sparker.

RLE code: Select all

x = 14, y = 13, rule = B3/S23
9bo$8bobo$8bobo$7b2obob2o$5bo4bo2bo$4bo2b3obo$9bob2o$8bo2bo$5bobobobo$
3bobobob2o$b3obo2bo$o5bobo$2o5bo!
#C [[ GRID THEME BOOK ]]

Exercise 3.14: period 38

A period-38 oscillator discovered by David Raucci on January 12, 2022, based on a wick by Jason Summers and a catalyst by 'cvojan'.

RLE code: Select all

x = 44, y = 12, rule = B3/S23
4b3o30b3o2$2bo5bo2b2o18b2o2bo5bo$2bo4b2o4bo16bo4b2o4bo$2bo11bo14bo11b
o$13b2o14b2o3$2b2o36b2o$3bo36bo$3o38b3o$o42bo!
#C [[ GRID THEME BOOK ]]

Exercise 3.15: pi heptomino hassler

A partial pi-heptomino hassler. The domino sparks need to be present in the location indicated here 33 generations after this one.

RLE code: Select all

x = 32, y = 31, rule = B3/S23
11b2o6b2o$11b2o6b2o13$12b3o2b3o$o11bo6bo11bo$o11b3o2b3o11bo13$11b2o6b
2o$11b2o6b2o!
#C [[ GRID THEME BOOK ]]

Exercise 3.19: fused snarks

Two snarks that can be fused together.

RLE code: Select all

x = 29, y = 40, rule = B3/S23
13bo$11b3o$bo8bo$2bo7b2o$3o2$18b2o$19bo$19bo$11b2o4b3o$11b2o3bo3b2o$
16b4o$2b2o15bo$bobo12b3o$bo13bo$2o14b5o3$23bo$23bo4bo$19b4ob2o2bo$19bo
2bobobobo$22bobobobo$23b2obobo$27bo2$13b2o$14bo7b2o$14bobo5b2o$15b2o7$
25b2o$16b2o7bo$15bobo8b3o$17bo10bo!
#C [[ GRID THEME BOOK ]]

Exercise 3.21: almost snark

An "almost-Snark" that does not quite work as a reflector.

RLE code: Select all

x = 24, y = 18, rule = B3/S23
16bo$17b2ob2o$16b2o2b2o2$2b2o$bobo$bo$2o4$17b2obo2bo$18bob4o$16bobo$
16b2o2b2o$21bo$19bo$19b2o!
#C [[ GRID THEME BOOK ]]

Exercise 3.23(a): Boojum reflector

Was the smallest known stable reflector until the discovery of the rectifier in 2009.
More info: https://www.conwaylife.com/wiki/Boojum_reflector

RLE code: Select all

x = 44, y = 32, rule = B3/S23
4bobo6b2o29b$5b2o6b2o29b$5bo38b7$40bo3b$39bobo2b$39bobo2b$20b2o16b2ob
2ob$20b2o22b$38b2ob2ob$2b2o34b2obo2b$bobo39bo$bo40b2o$2o42b2$34b2o8b$
34b2o4b2o2b$11b2o27bobob$10bobo29bob$10bo31b2o$9b2o23b2o8b$34b2o8b3$
29bo14b$28bobo13b$29bo!
#C [[ GRID THEME BOOK ]]

Exercise 3.23(b): Rectifier

A 180-degree stable reflector with a recovery time of 106 generations.
More info: https://www.conwaylife.com/wiki/Rectifier

RLE code: Select all

x = 41, y = 33, rule = s23/b3
bobo7bo29b$2b2o6bobo28b$2bo7bobo28b$11bo29b12$20b2o19b$20b2o19b2$2b2o
37b$bobo37b$bo39b$2o39b$31b2o8b$30bo2bo2b2o3b$30bobo4bo3b$11b2o18bo5bo
b2o$10bobo21b2obobob$10bo23bo2bo2bo$9b2o20bo4bo2b2o$31b5o5b2$33b2obo4b
$33bob2o!
#C [[ GRID THEME BOOK ]]

Exercise 3.25(1): Traffic jam

In this reaction, two traffic lights interact in such a way as to reappear after 25 generations with an extra 6 spaces between them.
More info: https://www.conwaylife.com/wiki/Traffic_jam

RLE code: Select all

x = 16, y = 8, rule = B3/S23
2b3o11b$11b3o2b$o5bo9b$o5bo2bo5bo$o5bo2bo5bo$9bo5bo$2b3o11b$11b3o!
#C [[ GRID THEME BOOK ]]

Exercise 3.25(2): t tetromino hassle 3

Another T-tetromino hassling reaction.

RLE code: Select all

x = 28, y = 7, rule = B3/S23
15bo8bobo$bo9bo3bo7bo$2o7b2ob2o9bo3bo$bo9bo11bo$24b2o2$26bo!
#C [[ GRID THEME BOOK ]]

Exercise 3.29: L112

A Herschel conduit that rotates a Herschel counter-clockwise by 90 degrees in 112 generations. Has a repeat time of 58 generations.

RLE code: Select all

x = 42, y = 24, rule = B3/S23
19bo$17b3o$7b3o6bo$7bo8b2o$6b3o13bo$20b3o$19bo$19b2o6$22b2o15bo$3b2o
17b2o15bobo$3b2o34b3o$41bo2$2b2o$3bo$3o12b2o$o14bo$16b3o$18bo!
#C [[ GRID THEME BOOK ]]

Exercise 3.31: period 57 herschel

A periodic Herschel conduit with repeat time of 57 generations.

RLE code: Select all

x = 32, y = 29, rule = B3/S23
2b2ob2o$o2bobobo$2obo2bo16b2o$3bo8b3o8bobo3bo$3b2o7bo8bobobo2bobo$b2o
2bobo3b3o7b2obob3o2bo$o2bo2b2o16bo4bobo$b2o21b5obo$28bo$24b2o3bo$24bob
o3bo$25bo3b2o6$10b2o$5b2o2bo2bo$2bo2bo4bobo$bobobo5bo$2bo2bob2o9bo$5bo
2bo9bo$6bo4bo5b2obo$7b5o4bo3b2o$15bobo$9bo5bo2bo$8bobo5b2o$9bo!
#C [[ GRID THEME BOOK ]]

Exercise 3.35: period 3 volatile pieces

Pieces that can be used to construct period 3 oscillators with the property that every cell oscillates.

RLE code: Select all

x = 55, y = 28, rule = B3/S23
9bobo5bo$8bo3bo4bo$9bo7bo$11b2ob2obo$17bo$10bo3bo$8bobo2$8bo$7b2o$7bo
34bo3bo$5bo2bo28bo4bo3bo4bo$o4bo16bobo5bo3bo7bo3bo7bo$4ob2ob3o10bo3bo
4bo3bob2ob2obo3bob2ob2obo$3ob2ob4o11bo7bo3bo7bo3bo7bo$5bo4bo13b2ob2obo
3bo4bo9bo4bo$2bo2bo24bo3bo19bo$3bo19bo3bo$2b2o17bobo$2bo17bo$23bo$obo
17bobo$2bo3bo9bo3bo$9bo3bo$3b2ob2obo3bob2ob2o$bo7bo3bo7bo$o3bo4bo3bo4b
o3bo$bobo5bo3bo5bobo!
#C [[ GRID THEME BOOK ]]

Solution 3.1(a): Scrubber

A period 2 oscillator found in 1971.
More info: https://www.conwaylife.com/wiki/Scrubber

RLE code: Select all

x = 11, y = 11, rule = B3/S23
4bo6b$2b3o6b$bo9b$bo2b3o4b$2obo3bo3b$3bo3bo3b$3bo3bob2o$4b3o2bob$9bob$
6b3o2b$6bo!
#C [[ GRID THEME BOOK ]]

Solution 3.1(b): Airforce

A period 7 oscillator in which the rotor consists of two copies of that used in the burloaferimeter.
More info: https://www.conwaylife.com/wiki/Airforce

RLE code: Select all

x = 14, y = 15, rule = B3/S23
7bo6b$6bobo5b$7bo6b2$5b5o4b$4bo5bob2o$3bob2o3bob2o$3bobo2bobo3b$2obo3b
2obo3b$2obo5bo4b$4b5o5b2$6bo7b$5bobo6b$6bo!
#C [[ GRID THEME BOOK ]]

Solution 3.1(c): Pinwheel

A period 4 oscillator.
More info: https://www.conwaylife.com/wiki/Pinwheel

RLE code: Select all

x = 12, y = 12, rule = B3/S23
6b2o4b$6b2o4b2$4b4o4b$2obo4bo3b$2obo2bobo3b$3bo3b2ob2o$3bobo2bob2o$4b
4o4b2$4b2o6b$4b2o!
#C [[ GRID THEME BOOK ]]

Solution 3.5(a): t sparkers 12

A small period 12 oscillator

RLE code: Select all

x = 27, y = 16, rule = B3/S23
24b2o$24bobo$21b2obobo$6b2o3b2o8bobobo$6bobobobo10bo$7bo3bo9bo2bo$24bo
$2bobobo5bobobo3bo3bo$3obob2o3b2obob3obo3bo$2bobobo5bobobo7bo$21bo2bo$
7bo3bo11bo$6bobobobo8bobobo$6b2o3b2o8b2obobo$24bobo$24b2o!
#C [[ GRID THEME BOOK ]]

Solution 3.5(b): t sparkers 20

A moderately-sized period 20 oscillator

RLE code: Select all

x = 30, y = 24, rule = B3/S23
19bo$17b5o$16bo5bo$16bob2o2bo$15b2obobob3obo$17bo2bo4b2o$17b2obob2o$2o
14b3obobob5o$obo12bo2bobo5bo2bo$2b3o13bo2b5o2b2o$bo3bo12b4o3bo$b5o3bo
3bo3bobo5b2o$4b2o3b3obo3bobo5b2o$b5o3bo8b4o3bo$bo3bo12bo2b5o2b2o$2b3o
10bo2bobo5bo2bo$obo13b3obobob5o$2o15b2obob2o$17bo2bo4b2o$15b2obobob3ob
o$16bob2o2bo$16bo5bo$17b5o$19bo!
#C [[ GRID THEME BOOK ]]

Solution 3.5(c): t sparkers 24

A small period 24 oscillator

RLE code: Select all

x = 30, y = 12, rule = B3/S23
6b2o3b2o$6bobobobo$7bo3bo10b2o2$2bobobo5bobobo3bo3bo$3obob2o3b2obob3ob
o4bo$2bobobo5bobobo5bobobo$23bobobo$7bo3bo12bo4bo$6bobobobo12bo3bo$6b
2o3b2o$26b2o!
#C [[ GRID THEME BOOK ]]

Solution 3.7: p32 pi hassler eaters

The gourmet oscillator with eater 1s instead of snakes.

RLE code: Select all

x = 20, y = 20, rule = B3/S23
10b2o$10bo$4b2ob2obo7b2o$3bobobobo7bobo$3bo4bo8bo$2b2o12b2o2$16b2o$o9b
3o2bobo$3o7bobo3bo$3bo6bobo4b3o$2bobo14bo$2b2o2$2b2o$2bo8bo$3b3o4bobob
o$5bo3bob2ob3o$9bo7bo$8b2o6b2o!
#C [[ GRID THEME BOOK ]]

Solution 3.9(b): phase shift oscillator

A phase shift oscillator with period 8.

RLE code: Select all

x = 21, y = 13, rule = B3/S23
19b2o$18bobo$16b3o$15bo3bo$2b2o7bo3b5o$2bo6b3o3b2o$7bo3bo3b5o$6obo7bo
3bo$o15b3o$b2ob2o3b2o7bobo$2bobo4bobo7b2o$2bobo6bo$3bo7b2o!
#C [[ GRID THEME BOOK ]]

Solution 3.11: Pi portraitor

A period 32 oscillator that was found in 1984 or 1985.
More info: https://www.conwaylife.com/wiki/Pi_portraitor

RLE code: Select all

x = 24, y = 24, rule = B3/S23
11b2o$6b2obo4bob2o$6bo10bo$7b2o6b2o$4b3o2b6o2b3o$4bo2bo8bo2bo$b2obobo
10bobob2o$bobobo12bobobo$3bo16bo$bo2bo14bo2bo$4bo14bo$o3bo14bo3bo$o3bo
5b3o6bo3bo$4bo5bo8bo$bo2bo5b3o6bo2bo$3bo16bo$bobobo12bobobo$b2obobo10b
obob2o$4bo2bo8bo2bo$4b3o2b6o2b3o$7b2o6b2o$6bo10bo$6b2obo4bob2o$11b2o!
#C [[ GRID THEME BOOK ]]

Solution 3.12(a): Caterer on 34P13

A small period 39 oscillator
More info: https://www.conwaylife.com/wiki/Caterer_on_34P13

RLE code: Select all

x = 23, y = 16, rule = b3/s23
9b3o4b2o5b$18bo4b$9bo5bo7b$8b2o5bo3bo3b$10bo4bo3b4o$7bo9bo5b$7bo3bo11b
$5b2o16b$3bo5b3o2b2o7b$ob2o4bo5b2o7b$o3bo3bo14b$o5bobo14b3$8b2o13b$8b
2o!
#C [[ GRID THEME BOOK ]]

Solution 3.12(b): high period sparker 31

A period 124 oscillator.

RLE code: Select all

x = 24, y = 27, rule = B3/S23
11b2o$7bob6obo$7bo8bo$2o5bo8bo5b2o$2o6bo6bo6b2o$9bo4bo$11b2o4$11b2o$9b
o4bo$2o6bo6bo6b2o$2o5bo8bo5b2o$7bo8bo$7bob6obo$11b2o3$12bo2$8b2o7b2o$
8bo9bo$9b9o$6b3o2b5o2b3o$6bo2bo2b3o2bo2bo$7b2o9b2o!
#C [[ GRID THEME BOOK ]]

Solution 3.12(c): high period sparker 32

A small period 96 oscillator

RLE code: Select all

x = 26, y = 30, rule = B3/S23
b2o$b2o3$3o$2obo2b2o$2b2o2b2o$2b2o7bo11bo$11b2o9b2o$7bo$10bo13bo$9b2ob
o3bobo3bob2o$12bo3bobo3bo$11bo3bo3bo3bo$12bo9bo$10bobo9bobo$10b2o11b2o
$10bo13bo2$10bo13bo$10b2o11b2o$10bobo9bobo$12bo9bo$11bo3bo3bo3bo$12bo
3bobo3bo$9b2obo3bobo3bob2o$10bo13bo2$11b2o9b2o$11bo11bo!
#C [[ GRID THEME BOOK ]]

Solution 3.15: pi heptomino hassler

A p44 pi-heptomino hassler.

RLE code: Select all

x = 44, y = 31, rule = B3/S23
17b2o6b2o$17b2o6b2o7$b2o38b2o$obo38bobo$obob2o32b2obobo$bobobo32bobobo
$3bo36bo$2bo2bo12b2o4b2o12bo2bo$2bo13b2obo4bob2o13bo$2bo3bo9b2o8b2o9bo
3bo$2bo3bo9b2obo4bob2o9bo3bo$2bo15b2o4b2o15bo$2bo2bo32bo2bo$3bo36bo$bo
bobo32bobobo$obob2o32b2obobo$obo38bobo$b2o38b2o6$17b2o6b2o$17b2o6b2o!
#C [[ GRID THEME BOOK ]]

Solution 3.18: six snark relay

A period 680 oscillator constructed from 6 snarks.

RLE code: Select all

x = 106, y = 86, rule = B3/S23
45b2o3b2o$45b2o2bob3o$49bo4bo$45b4ob2o2bo$45bo2bobobob2o$48bobobobo$
49b2obobo$53bo2$39b2o$40bo7b2o$40bobo5b2o$41b2o7$51b2o$51bo$52b3o$54bo
10$30b2o$29bobo$31bo6$96bo$53b2o3b2o34b3o$51b3obo2b2o33bo$50bo4bo37b2o
$50bo2b2ob4o$49b2obobobo2bo$50bobobobo44b2ob2o$50bobob2o46bob2o$51bo
50bo$4bo89b2o4b3o$2b5o14b2o41b2o28b2o3bo3b2o$bo5bo13bo33b2o7bo34b4o2bo
$bo2b3o12bobo33b2o5bobo20b2o15bob2o$2obo15b2o41b2o20bobo12b3o2bo$o2b4o
77bo13bo5bo$b2o3bo3b2o71b2o14b5o$3b3o4b2o89bo$3bo$2obo$2ob2o$52b2o$53b
o$11b2o17bo19b3o$12bo17b3o17bo20bo$9b3o21bo37b3o$9bo22b2o40bo$73b2o6$
42b2o$35b2o5bobo38b2o$35b2o7bo31b2o5bobo$44b2o30b2o7bo$85b2o$31bo$30bo
bob2o36bo$30bobobobo34bobob2o$29b2obobobo2bo31bobobobo$30bo2b2ob4o30b
2obobobo2bo$30bo4bo35bo2b2ob4o$31b3obo2b2o31bo4bo$33b2o3b2o32b3obo2b2o
$74b2o3b2o!
#C [[ GRID THEME BOOK ]]

Solution 3.19(a): fused snarks

Two snarks fused together.

RLE code: Select all

x = 32, y = 40, rule = B3/S23
13bo$11b3o$bo8bo$2bo7b2o$3o2$18b2o$19bo$19bob2o$11b2o4b3o2bo$11b2o3bo
3b2o$16b4o$2b2o15bo$bobo12b3o$bo13bo$2o14b5o$21bo$18b2o2bo$18bob2obo$
23bo4b2o$19b4ob2o2bo2bo$19bo2bobobobob2o$22bobobobo$23b2obobo$27bo2$
13b2o$14bo7b2o$14bobo5b2o$15b2o7$25b2o$16b2o7bo$15bobo8b3o$17bo10bo!
#C [[ GRID THEME BOOK ]]

Solution 3.19(b): four fused snarks

Four snarks fused together.

RLE code: Select all

x = 53, y = 53, rule = B3/S23
24bo10bo$24b3o8bobo$27bo7b2o$26b2o7$36b2o$29b2o5bobo$29b2o7bo$13bo24b
2o$11b3o$bo8bo14bo$2bo7b2o12bobob2o$3o21bobobobo$21b2obobobobo2bo$18b
2o2bobo2b2ob4o$19bobo2bo4bo$19bobobo5bob2obo$11b2o4b3o2bo7bo2b2o$11b2o
3bo3b2o9bo$16b4o12b5o14b2o$2b2o15bo17bo13bo$bobo12b3o15b3o12bobo$bo13b
o17bo15b2o$2o14b5o12b4o$21bo9b2o3bo3b2o$18b2o2bo7bo2b3o4b2o$18bob2obo
5bobobo$23bo4bo2bobo$19b4ob2o2bobo2b2o$19bo2bobobobob2o$22bobobobo21b
3o$23b2obobo12b2o7bo$27bo14bo8bo$39b3o$13b2o24bo$14bo7b2o$14bobo5b2o$
15b2o7$25b2o$16b2o7bo$15bobo8b3o$17bo10bo!
#C [[ GRID THEME BOOK ]]

Solution 3.25: P50 traffic jam

The smallest known period 50 oscillator; discovered on October 16, 1994
More info: https://www.conwaylife.com/wiki/P50_traffic_jam

RLE code: Select all

x = 48, y = 16, rule = b3/s23
2o44b2o$o2b3o36b3o2bo$b2o30b3o9b2ob$6bo18bo15bo6b$6bo3bo12b2ob2o3bo5bo
3bo6b$b2o5b2ob2o12bo5bo5bo7b2ob$o2b3o4bo20bo5bo4b3o2bo$2o44b2o$33b3o
12b2$6bo2bo28bo2bo6b$5bob2obo26bob2obo5b$6bo2bo28bo2bo6b$6bo2bo28bo2bo
6b$5bob2obo26bob2obo5b$6bo2bo28bo2bo!
#C [[ GRID THEME BOOK ]]

Solution 3.26: traffic jam reflect

A demonstration of how a p50 traffic jam oscillator can be used to reflect gliders.

RLE code: Select all

x = 50, y = 32, rule = B3/S23
48bo$47bo$47b3o11$35bo$35bobo$35b2o$2o29bobo12b2o$o2b3o7bo16bo3bo7b3o
2bo$b2o10bo10bo20b2o$6bo6bo8bob2ob4o5b2o3bo$6bo14bo4bo7bo3bo2bo$b2o6b
3o3b3o3bo3bo7bo4bo6b2o$o2b3o16b2o5b4ob2obo4b3o2bo$2o11bo21bo10b2o$13bo
11bo3bo$13bo12bobo$6bo2bo28bo2bo$5bob2obo26bob2obo$6bo2bo28bo2bo$6bo2b
o28bo2bo$5bob2obo26bob2obo$6bo2bo28bo2bo!
#C [[ GRID THEME BOOK ]]

Solution 3.30: phoenix bb

A phoenix that expands outside of its original bounding box.

RLE code: Select all

x = 15, y = 8, rule = B3/S23
11bo$b3o5bobo$5o8bo$5o2b2o$5o8b2o$b3o4bo$10bobo$10bo!
#C [[ GRID THEME BOOK ]]

Solution 3.35: period 3 volatile

A large period 3 oscillator in which every cell oscillates.

RLE code: Select all

x = 100, y = 43, rule = B3/S23
46bobo5bo3bo$45bo3bo4bo3bo4bo$46bo7bo3bo7bo3bo$48b2ob2obo3bob2ob2obo3b
o4bo$54bo3bo7bo3bo7bo3bo5bobo$47bo3bo9bo4bo3bob2ob2obo3bo4bo3bo$45bobo
18bo3bo7bo3bo7bo$44bo28bo4bo3bob2ob2o$47bo30bo3bo$44bobo38bo3bo$40bo3b
o44bobo$bobo5bo3bo19bo3bo$o3bo4bo3bo4bo9bo4bo3bob2ob2o47bo$bo7bo3bo7bo
3bo7bo3bo7bo45b2o$3b2ob2obo3bob2ob2obo3bob2ob2obo3bo4bo3bo45bo$9bo3bo
7bo3bo7bo3bo5bobo45bo2bo$2bo3bo9bo4bo3bo4bo63bo4bo$obo18bo3bo63b3ob2ob
4o$89b4ob2ob3o$2bo86bo4bo$2b2o90bo2bo$3bo92bo$2bo2bo90b2o$5bo4bo86bo$
3ob2ob4o$4ob2ob3o63bo3bo18bobo$o4bo63bo4bo3bo4bo9bo3bo$5bo2bo45bobo5bo
3bo7bo3bo7bo3bo$7bo45bo3bo4bo3bob2ob2obo3bob2ob2obo3bob2ob2o$7b2o45bo
7bo3bo7bo3bo7bo3bo7bo$8bo47b2ob2obo3bo4bo9bo4bo3bo4bo3bo$62bo3bo19bo3b
o5bobo$8bobo44bo3bo$10bo3bo38bobo$17bo3bo30bo$11b2ob2obo3bo4bo28bo$9bo
7bo3bo7bo3bo18bobo$8bo3bo4bo3bob2ob2obo3bo4bo9bo3bo$9bobo5bo3bo7bo3bo
7bo3bo$24bo4bo3bob2ob2obo3bob2ob2o$29bo3bo7bo3bo7bo$36bo4bo3bo4bo3bo$
41bo3bo5bobo!
#C [[ GRID THEME BOOK ]]