Conway's Game of Life

Mathematics and Construction

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Pattern Files for Chapter 5: Glider Synthesis

RLE, Macrocell, or LifeHistory code for all patterns that are displayed as figures in Chapter 5: Glider Synthesis 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 (0.05 Mb)
Figure 5.1: 3-glider synthesis of LWSS

A collision of three gliders that produces a lightweight spaceship.

RLE code: Select all
x = 7, y = 12, rule = B3/S23 2bobo$2b2o$3bo2$o$b2o$2o3$4b3o$6bo$5bo! #C [[ GRID THEME BOOK ]]
Figure 5.2: Lightweight spaceship gun

A period 30 gun that shoots lightweight spaceships, based on using 3 Gosper glider guns and a 3-glider synthesis of the LWSS.

RLE code: Select all
x = 70, y = 47, rule = B3/S23 12b2o$12b2o$12b2o$13bo$12bobo$12bobo$13bo2$28b2o$10b2o3b2o11bobo$10bob obobo2b2o2b2o6bo11bobo$11b5o3b2obo2bo2bo2bo10bo2bo$12b3o8b2o6bo9b2o10b 2o$13bo14bobo8b2o3bo8b2o$28b2o11b2o5b2o$33bo8bo2bo4bo$31b2o10bobo$32b 2o3$14bobo$15b2o$15bo$24bobo$24b2o$10b3o12bo$9bo3bo$8bo5bo7bo$9bo3bo9b 2o10bo2bo26bo2bo$10b3o9b2o15bo11b4o14bo$10b3o22bo3bo10bo3bo10bo3bo$36b 4o14bo11b4o$26b3o21bo2bo$28bo$10b2o15bo$10b2o3$8bo8bo2bo$7bobo10bo$5b 2o3bo5b2o3bo2bo$2o3b2o3bo4bobob2o3b4o$2o3b2o3bo14b4o$7bobo5b2o8bo2bo5b 2o$8bo16b4o5b2o$24b4o$24bo! #C [[ GRID THEME BOOK ]]
Figure 5.3: invalid synthesis

A glider collision that produces a block, but is not considered a valid glider synthesis since two of the gliders cannot get into position without crossing paths in the first place.

RLE code: Select all
x = 10, y = 7, rule = B3/S23 8bo$9bo$7b3o$bo$2bo3bo$3ob2o$5b2o! #C [[ GRID THEME BOOK ]]
Table 5.1: Two-glider syntheses

A collection of all 71 distinct two-glider collisions, grouped by what they synthesize. Compiled on January 29, 2005 by Jason Summers.
More info: https://www.conwaylife.com/wiki/Glider_synthesis

RLE code: Select all
x = 379, y = 369, rule = B3/S23 154bo36bo18bo168b$58bo18bo19bo16bo19bo18bo19bo16bo18bo36bo132b$57bo18b o19bo16bo19bo19b3o16bo17b3o16b3o15bo17bo133b$57b3o16b3o17b3o14b3o17b3o 36b3o51bo18b3o131b$226b3o150b4$190bo188b$58b3o17b3o89bo18b2o55bo132b$ 58bo19bo20bo17bo20bo13b2o15b2o18bobo14b2o20bo16b2o132b$59bo19bo18b2o 16b2o19b2o13bobo14bobo34bobo18b2o16bobo131b$98bobo15bobo18bobo12bo53bo 20bobo149b$bo4bo3bobo3bobobo2bo3bo3bo3bo4bo4bobo331b2$bobo2bo2bo3bo4bo 4bo3bo3bo3bobo2bo2bo335b2$bo2bobo2bo3bo4bo4bobobo3bo3bo2bobo2bo2bobo 330b2$bo4bo2bo3bo4bo4bo3bo3bo3bo4bo2bo4bo266bo63b$269bo22bo21bo62bob$b o4bo3bobo5bo4bo3bo3bo3bo4bo4bobo182bo15bo21bo22bo22b3o18bo22bo17bo2b$ 229bo15bo22b3o20b3o40bo22bo18b3o$86bo16bo17bo16bo16bo15bo17bo16bo22b3o 13b3o86b3o20b3o19b$66bo18bo16bo17bo16bo16bo15bo17bo16bo173b$65bo19b3o 14b3o15b3o14b3o14b3o13b3o15b3o14b3o171b$65b3o311b4$224b3o15b3o59b2o73b $76b3o16b3o16b3o15b3o15b3o14b3o16b3o15b3o19bo17bo11b2o23b2o20bobo20b2o 40b2o9b$54b3o21bo18bo18bo17bo17bo16bo18bo17bo18bo17bo13b2o23b2o21bo21b 2o12b2o26b2o8b$56bo20bo18bo18bo17bo17bo16bo18bo17bo50bo24bo44bo15b2o 24bo10b$55bo285bo37b23$106bo157bo114b$74bo30bo157bo38bo76b$2bobo4bo6bo 3bo4bo2bo3bo2bobobo2bobo28bo15bo15b3o119bobobo2bo28b3o14bo20bo77b$46bo 26b3o12bo190bo21b3o75b$2bo3bo2bo6bo3bobo2bo2bo2bo3bo6bo45b3o138bo4bo 44b3o97b$46bo332b$2bobo4bo6bo3bo2bobo2bobo4bobobo2bobo184bo4bo144b2$2b o3bo2bo6bo3bo4bo2bo2bo3bo6bo2bo183bo4bo144b$305b3o71b$2bobo4bobobo2bo 3bo4bo2bo3bo2bobobo2bo3bo61b2o119bo4bobobo44bo21bo73b$108bobo146b2o23b 2o22bo72b$66b2o21b2o17bo149b2o22bobo94b$65bobo21bobo165bo121b$67bo21bo 289b17$84bo15bo39bo153bo24bo19bo39b$bobo4bo7bobo4bobo3bo3bo28bo20bo15b o39bo88bo3bo2bobobo20bo16bo15bo24bo19bo40b$61bo21b3o13b3o15bo21b3o17bo 99bo16bo16b3o22b3o17b3o38b$bo3bo2bo6bo3bo2bo3bo2bo2bo28b3o52bo41bo69bo 3bo2bo23b3o14b3o100b$116b3o39b3o218b$bobo4bo6bo3bo2bo6bobo196bobobo2bo bobo139b2$bo3bo2bo6bo3bo2bo3bo2bo2bo195bo3bo2bo143b2$bobo4bobobo3bobo 4bobo3bo3bo85b3o106bo3bo2bo143b$54b3o62bo17b2o16bo103bo35b2o35b2o45b$ 56bo21b2o15b2o23bo16bobo14b2o102b2o16b2o17bobo11b2o22b2o44b$55bo23b2o 15b2o39bo16bobo101bobo15bobo16bo14b2o20bo46b$78bo16bo180bo32bo69b6$73b 2o19b2o283b$74bo20bo152b2o129b$249bo129b7$64bo233bo80b$63bo20bo194bo 17bo81b$63b3o17bo166bo27bo18b3o79b$2bobo3bo6bo3bobo4bobobo2bobo47b3o 143bobo17bo28b3o98b$37bo211b3o127b$o7bo6bo3bo3bo2bo6bo195bo3bo145b$37b o275b2o64b$o2bobo2bo6bo3bo3bo2bobobo2bobo193bobo82bo64b$256b2o121b$o4b o2bo6bo3bo3bo2bo6bo2bo192bo3bo23bo121b$80bo298b$2bobo3bobobo2bo3bobo4b obobo2bo3bo20b2o19b2o148bobo18bo42b2o84b$57bobo19bobo167b2o13b2o26bobo 84b$59bo189bobo13b2o27bo84b$264bo114b14$252b2o24b2o99b$253bo25bo99b$ 258bo15bo104b$257bo15bo26bo78b$61bo195b3o13b3o23bo79b$obo5bobo5bo4bobo bo34bo167bobo4bo63b3o77b$60b3o169bo45bo24b3o73b$o3bo2bo3bo3bobo5bo204b o6bo41b2o24bo75b$232bo44bobo24bo74b$obo4bo3bo2bo3bo4bo204bobo4bo19b2o 37b2o83b$254bobo38bo83b$o3bo2bo3bo2bobobo4bo204bo6bo20bo122b2$obo5bobo 3bo3bo4bo204bo6bo143b2$53b2o324b$54b2o323b$53bo325b18$3bo3bo3bo3bo3bo 2bobobo30bo169bo6bobo3bo5bo18bo113b$56bo207bo114b$3bo3bo3bo3bo3bo2bo 33b3o168bo5bo3bo2bobobobo17b3o112b2$3bobobo3bo3bo3bo2bobobo200bo5bo3bo 2bo2bo2bo132b2$3bo3bo3bo4bobo3bo204bo5bo3bo2bo5bo132b2$3bo3bo3bo5bo4bo bobo32b3o165bobobo2bobo3bo5bo132b$59bo203bo115b$60bo201b2o115b$262bobo 114b17$67bo311b$66bo312b$4bo6bobo5bo4bobobo37b3o157bobobo2bobobo4bo4bo bo4bobo4bobo5bobo3bobo101b$251bo13bo13bo17bo81b$4bo5bo3bo3bobo3bo203bo 4bo7bobo3bo6bo3bo2bo6bo3bo2bo20bo82b$251bo13bo13bo16b3o80b$4bo5bo3bo2b o3bo2bobobo199bo4bobobo2bo3bo2bobo4bo3bo2bobo4bo3bo2bobo101b2$4bo5bo3b o2bobobo2bo203bo4bo6bobobo2bo2bo3bo3bo2bo2bo3bo3bo2bo103b2$4bobobo2bob o3bo3bo2bo203bo4bobobo2bo3bo2bo3bo2bobo4bo3bo3bobo3bo103b$58b2o239bo 79b$57bobo238b2o79b$59bo238bobo78b16$59bo319b$58bo320b$58b3o264bo53b$ 3bobobo4bo4bobobo2bobobo2bobo193bo3bo4bo2bobobo2bobobo2bobo5bobo3bo3bo 4bo4bo4bo4bobo3bobobo22bo54b$35bo221bo66b3o52b$3bo7bobo5bo4bo6bo195bo 3bobo2bo4bo4bo6bo6bo3bo2bo3bo3bobo3bobo2bo2bo7bo81b$35bo221bo121b$3bob obo2bo3bo4bo4bobobo2bobo193bo3bo2bobo4bo4bobobo2bobo4bo6bobobo2bo3bo2b o2bobo2bo2bobo2bobobo77b$57bo321b$3bo6bobobo4bo4bo6bo2bo21b2o169bo3bo 4bo4bo4bo6bo2bo3bo3bo2bo3bo2bobobo2bo4bo2bo4bo2bo26b3o52b$56bobo265bo 54b$3bobobo2bo3bo4bo4bobobo2bo3bo191bo3bo4bo4bo4bobobo2bo3bo3bobo3bo3b o2bo3bo2bo4bo4bobo3bobobo23bo53b11$305b2o72b$306bo72b9$55bo16bo237bo 68b$2bobo5bobo3bo4bo2bobo27bo16bo155bobobo2bo14bobo3bo6bo3bobo4bobobo 2bobo26bo69b$6bo47b3o14b3o210bo24b3o67b$2bo6bo3bo2bobo2bo2bo3bo200bo4b o7bo4bo7bo6bo3bo3bo2bo6bo98b$6bo277bo94b$2bobo4bo3bo2bo2bobo2bo3bo200b o4bo5bobobo2bo2bobo2bo6bo3bo3bo2bobobo2bobo96b2$2bo6bo3bo2bo4bo2bo3bo 200bo4bo7bo4bo4bo2bo6bo3bo3bo2bo6bo2bo26b3o66b$310bo68b$2bo7bobo3bo4bo 2bobo46bo155bo4bobobo10bobo3bobobo2bo3bobo4bobobo2bo3bo26bo67b$50b2o 20b2o305b$51b2o19bobo304b$50bo328b19$2bobo5bo7bobo4bo7bobo4bobo3bo3bo 328b2$2bo3bo3bo7bo3bo2bo6bo3bo2bo3bo2bo2bo28bo239bo60b$77bo239bo61b$2b obo5bo2bobo2bobo4bo6bo3bo2bo6bobo28b3o237b3o59b$229bobo4bobo3bobobo3bo bo3bo5bo3bo3bo4bo3bobo97b$2bo3bo3bo7bo3bo2bo6bo3bo2bo3bo2bo2bo329b$ 228bo3bo2bo3bo4bo4bo3bo2bobobobo3bo3bobo2bo2bo3bo96b$2bobo5bo7bobo4bob obo3bobo4bobo3bo3bo328b$228bo3bo2bo8bo4bo3bo2bo2bo2bo3bo3bo2bobo2bo3bo 96b$77b3o299b$77bo150bo3bo2bo3bo4bo4bo3bo2bo5bo3bo3bo4bo2bo3bo96b$78bo 300b$229bobo4bobo5bo5bobo3bo5bo3bo3bo4bo3bobo26b2o69b$307bobo69b$309bo 69b7$276b2o37b2o62b$277bo38bo62b6$112bo13bo252b$2bo6bobo5bo4bobobo9bob o4bo6bo3bo4bo2bo3bo2bobobo2bobo32bo13bo253b$80bo30b3o11b3o251b$2bo5bo 3bo3bobo3bo8bo4bo3bo2bo6bo3bobo2bo2bo2bo3bo6bo302b$80bo298b$2bo5bo3bo 2bo3bo2bobobo2bobobo2bobo4bo6bo3bo2bobo2bobo4bobobo2bobo300b2$2bo5bo3b o2bobobo2bo8bo4bo3bo2bo6bo3bo4bo2bo2bo3bo6bo2bo299b2$2bobobo2bobo3bo3b o2bo13bobo4bobobo2bo3bo4bo2bo3bo2bobobo2bo3bo298b$107b2o21b2o195bo51b$ 107bobo20bobo193bo52b$107bo22bo98bobobo9bobo3bo6bo3bobo4bobobo2bobo7bo 5bo2bobobo3bobo3bobo16b3o50b$278bo100b$233bo7bo7bo6bo3bo3bo2bo6bo9bobo bobo2bo6bo5bo72b$278bo100b$229bobobo2bobo2bo2bobo2bo6bo3bo3bo2bobobo2b obo7bo2bo2bo2bobobo3bobo3bobo69b2$229bo11bo4bo2bo6bo3bo3bo2bo6bo2bo6bo 5bo2bo10bo5bo68b$324bo54b$229bobobo9bobo3bobobo2bo3bobo4bobobo2bo3bo5b o5bo2bobobo3bobo3bobo13b2o54b$323bobo53b7$69bo309b$68bo310b$46bo21b3o 34bo273b$3bo5bo3bo3bobo4bobo18bo58bo274b$45b3o56b3o272b$3bobobobo3bo2b o6bo3bo351b2$3bo2bo2bo3bo3bobo3bo355b2$3bo5bo3bo6bo2bo3bo19b3o329b$47b o24b2o17b3o177b2o32b2o72b$3bo5bo3bo3bobo4bobo21bo23bobo18bo178bo33bo 72b$72bo19bo! #C [[ GRID THEME BOOK ]]
Table 5.2(1): Tee

Three 3-glider collisions that result in a perpendicular glider.

RLE code: Select all
x = 60, y = 11, rule = B3/S23 2bo45bo3b3o$obo43bobo3bo$b2o18bo25b2o4bo$22bo$20b3o7b2o$27bo2bobo$10bo 14bobo2bo$5bo3b2o15b2o$3bobo3bobo45b3o$4b2o51bo$58bo! #C [[ GRID THEME BOOK ]]
Table 5.2(2): 3-glider syntheses of lightweight spaceships
RLE code: Select all
x = 99, y = 14, rule = B3/S23 4bo23bobo21bo45bo$2b2o24b2o22bobo41b2o$3b2o24bo22b2o43b2o2$o25bo$b2o 24b2o21b2o2b2o$2o24b2o21bobob2o20bo$4b3o44bo3bo18bo$6bo67b3o$5bo24b3o$ 32bo$31bo43b3o$75bo$76bo! #C [[ GRID THEME BOOK ]]
Table 5.2(3): 3-glider synthesis of a middleweight spaceship
RLE code: Select all
x = 12, y = 8, rule = B3/S23 4bo6bo$5bo3b2o$3b3o4b2o3$3o$2bo$bo! #C [[ GRID THEME BOOK ]]
Table 5.2(4): 3-glider synthesis of a heavyweight spaceship
RLE code: Select all
x = 9, y = 8, rule = B3/S23 3bo$b2o$2b2o4bo$6b2o$7b2o$3o$2bo$bo! #C [[ GRID THEME BOOK ]]
Table 5.2(5): 3-glider synthesis of a pentadecathlon
RLE code: Select all
x = 10, y = 8, rule = B3/S23 obo$2o$bo5bo$7bobo$7b2o$2b3o$4bo$3bo! #C [[ GRID THEME BOOK ]]
Table 5.2(6): 3-glider syntheses of pulsars
RLE code: Select all
x = 83, y = 10, rule = B3/S23 3bobo15bo9bobo11bobo13bo12bo$3b2o14b2o11b2o7b3o2b2o14b2o8bobo$4bo11bo 3b2o10bo10bo2bo14b2o10b2o$bo15bo24bo14b2o6bo12bo$2bo12b3o17bo13bo6bobo 5b2o11bo$3o5bo10b2o6b3o3b2o13b2o8bo5bobo10b3o$7b2o9b2o9bo4b2o12bobo$7b obo10bo7bo51b2o$80bobo$80bo! #C [[ GRID THEME BOOK ]]
Table 5.2(7): 3-glider syntheses of queen bees
RLE code: Select all
x = 82, y = 13, rule = B3/S23 3bobo8bobo9bo13bo21bobo15bo$4b2o9b2o10bo13bo20b2o6bo7b2o$4bo10bo9b3o 11b3o21bo7b2o6b2o$3o8b3o56b2o$2bo10bo14bo$bo10bo15b2o8b2o39b3o$27bobo 7bobo13bo25bo$39bo5b3o6b2o24bo$45bo7b2o2bo$b2o15b2o26bo10bobo$2b2o13b 2o11b2o25b2o$bo17bo9b2o$31bo! #C [[ GRID THEME BOOK ]]
Table 5.2(8): 3-glider syntheses of R-pentominoes
RLE code: Select all
x = 72, y = 13, rule = B3/S23 4bobo6bo16bo6bobo20bo7bo$o3b2o6bo15b2o8b2o21bo7bo$b2o2bo6b3o9b3o2b2o7b o20b3o5b3o$2o24bo$16bo8bo10b2o6b2o13bo$16bobo9b2o7b2o4b2o13b2o$5bo6b3o b2o9bobo6bo8bo12bobo8b3o$4b2o8bo14bo22bo16bo$4bobo6bo38b2o16bo$51bobo$ 67b3o$69bo$68bo! #C [[ GRID THEME BOOK ]]
Table 5.2(9): 3-glider synthesis of a switch engine
RLE code: Select all
x = 14, y = 8, rule = B3/S23 obo$b2o$bo6bo$7bo$7b3o$11b2o$11bobo$11bo! #C [[ GRID THEME BOOK ]]
Table 5.2(10): 3 glider switch engine glider

A 3-glider synthesis of a glider-producing switch engine.

RLE code: Select all
x = 98, y = 77, rule = B3/S23 97bo$95b2o$96b2o69$4bo$3bo$3b3o$bo$2o$obo! #C [[ GRID THEME BOOK ]]
Figure 5.4: 10-glider synthesis of the Gosper glider gun

A glider syntheses of the Gosper glider gun that works by synthesizing two blocks via two gliders each and two queen bees by three gliders each.

RLE code: Select all
x = 23, y = 44, rule = B3/S23 11bo$11bobo$8bo2b2o$9bo$7b3o6$13bobo$13b2o$8b2o4bo$7b2o$4b2o3bo$3bobo$ 5bo3$20bobo$20b2o$21bo10$15b2o$14b2o$b2o13bo$obo$2bo4$9b3o$11bo$10bo2b 2o$13bobo$13bo! #C [[ GRID THEME BOOK ]]
Table 5.3(1): Clock_synth

Some four-glider syntheses of clocks.
More info: https://home.interserv.com/~mniemiec/4gliders.htm

RLE code: Select all
x = 37, y = 6, rule = B3/S23 4bobo6bo10bo9b2o$5b2o4b2o10bo10bobo$5bo6b2o9b3o8bo$2o6bo12bo8b3o$b2o4b 2o10bobo10bo$o6bobo10b2o9bo! #C [[ GRID THEME BOOK ]]
Table 5.3(2): 4-glider synthesis of twin bees
RLE code: Select all
x = 13, y = 7, rule = B3/S23 3bo5bo$4bo3bo$2b3o3b3o2$bo9bo$b2o7b2o$obo7bobo! #C [[ GRID THEME BOOK ]]
Table 5.3(3): hwss 4 glider synth

4-glider syntheses of a heavyweight spaceship

RLE code: Select all
x = 57, y = 17, rule = B3/S23 4bo49bobo$2bobo49b2o$3b2o50bo2$5bo$3b2o$4b2o$b2o$obo18bo$2bo16bobo$11b 3o6b2o$11bo$12bo2$29b2o2b2o$30b2obobo$29bo3bo! #C [[ GRID THEME BOOK ]]
Table 5.3(4): eater 2 6 gliders

6-glider syntheses of an eater 2. Found by Tanner Jacobi in November 2014.

RLE code: Select all
x = 32, y = 16, rule = B3/S23 9bo$7b2o$8b2o$2bo$obo$b2o2$12bo$3bobo6bobo12bo$3b2o7b2o12bobo$4bo21bob o$25b2ob3o$5b2o24bo$6b2o5b3o9b2ob3o$5bo7bo11b2obo$14bo! #C [[ GRID THEME BOOK ]]
Figure 5.5: fumarole sequential

A 12-glider sequential synthesis of a fumarole.

RLE code: Select all
x = 197, y = 19, rule = B3/S23 168bo$166bobo$167b2o$45bo131bo$46bo129bo$44b3o21bo19bo19bo19bo19bo23bo 3b3o$67bobo17bobo17bobo17bobo17bobo16b2o3bobo$bo65b2o18b2o18b2o18b2o 18b2o16bobo3b2o19b2o$2bo46bo117bo22bo4bo$3o22bo19bo3bobo15b4o16b4o16b 4o16b4o16b4o20b4o15bo4bo$24bobo17bobo2b2o15bo4bo14bo4bo14bo4bo14bo4bo 14bo4bo18bo4bo14bo4bo$3b3o18bobo17bobo5b2o12b2o2b2o14b2o2b2o15bo2b2o 15bo2b2o15bo2bo20bo2bo16bo2bo$5bo19bo19bo6bobo50bobo17bobo17bobo2bobo 16bobo2bobo12bobo2bobo$4bo47bo52b2o18b2o18b2o4b2o16b2o4b2o12b2o4b2o$ 84b2o46b2o$80bo2b2o48b2o2bo$80b2o3bo46bo3b2o$79bobo54bobo! #C [[ GRID THEME BOOK ]]
Table 5.4(1): tub sequential

Sequential glider synthesis of a tub.

RLE code: Select all
x = 9, y = 4, rule = B3/S23 6b2o$bo3bo2bo$2bo2bo2bo$3o3b2o! #C [[ GRID THEME BOOK ]]
Table 5.4(2): honey farm incremental

Incremental synthesis of a honey farm.

RLE code: Select all
x = 3, y = 7, rule = B3/S23 bo$2bo$3o3$2o$2o! #C [[ GRID THEME BOOK ]]
Table 5.4(3): queen bee sequential

Sequential glider synthesis of a queen bee.

RLE code: Select all
x = 8, y = 3, rule = B3/S23 bo4b2o$2bo2bobo$3o2b2o! #C [[ GRID THEME BOOK ]]
Table 5.4(4): hat sequential

Sequential glider synthesis of a hat.

RLE code: Select all
x = 15, y = 12, rule = B3/S23 12bobo$12b2o$13bo4$b2o$o2bo$obo$bo2b2o$4bobo$4bo! #C [[ GRID THEME BOOK ]]
Table 5.4(5): ship sequential

Sequential glider synthesis of a ship.

RLE code: Select all
x = 20, y = 7, rule = B3/S23 bo12bo$2bo12bo$3o2b3o5b3o$17b2o$16bo2bo$16bo2bo$17b2o! #C [[ GRID THEME BOOK ]]
Table 5.4(6): tub with tail sequential

Sequential glider synthesis of a tub with tail.

RLE code: Select all
x = 28, y = 11, rule = B3/S23 3bobo3bo6bobo$4b2ob2o8b2o$4bo3b2o7bo$22bo$5b2o15bobo$3obobo15b2o$2bo2b o20bo$bo15b2o6b2o$16bobo6bobo$16bo$15b2o! #C [[ GRID THEME BOOK ]]
Table 5.4(7): snake sequential

Sequential glider synthesis of a snake.

RLE code: Select all
x = 29, y = 16, rule = B3/S23 o24bo$b2o22bobo$2o23b2o$12bo$12bo13bo$12bo11b3o$23bo$23b2o$19b2o$6b2o 10bobo5b2o$5bobo12bo5bobo$7bo18bo2$8b2o$8bobo$8bo! #C [[ GRID THEME BOOK ]]
Table 5.4(8): t tetromino incremental

Incremental synthesis of a T-tetromino or traffic light.

RLE code: Select all
x = 34, y = 6, rule = B3/S23 bo2b3o6bo12bo5b2o$2bo11bo12bo5bo$3o9b3o2b2o6b3o2b3o$16bo2bo10bo$16bobo $17bo! #C [[ GRID THEME BOOK ]]
Table 5.4(9): pentadecathlon sequential

A sequential synthesis of a pentadecathlon.

RLE code: Select all
x = 80, y = 9, rule = B3/S23 bo14bo12bo22b2o5bo$2bo12bo12bo23bo5bo$3o12b3o6b2o2b3o22b3o2b3o$23bo2bo 17bo10bo20bo$4bo8bo10bobo16bobo25b3o2b3o$4bo8bo11bo17bo2bo26bo5bo$4bo 8bo25b3o2b2o26bo5b2o$41bo$40bo! #C [[ GRID THEME BOOK ]]
Table 5.4(10): lwss sequential

Sequential glider synthesis of a lightweight spaceship.

RLE code: Select all
x = 78, y = 8, rule = B3/S23 bo14bo29bo9bo10bo$2bo14bo7bobo16b2o9bo12bo$3o12b3o7b2o7bo4bo5b2o8b3o8b 3o$20bo5bo8bo2bobo36bo$7bobo10bo12b3o3b2o11b2o5bo15b2o$3b2o2b2o11bo32b o4bo10b2obo3b2o$3b2o3bo44bobo2b3o8bob2o$54b2o! #C [[ GRID THEME BOOK ]]
Table 5.4(11): MWSS incremental syntheses

Incremental glider syntheses of a middleweight spaceship.

RLE code: Select all
x = 75, y = 8, rule = B3/S23 bo15bo14bo9bo10bo10bo$o17bo14bo7bo10bo12bo$3o13b3o12b3o7b3o8b3o8b3o7bo $36bo30b2o3bo$23bobo10bo12b2o6bo9bobo2b3o$2b2o4b3o8b2o2b2o11bo13bo4b2o 11b2o$2b2o4bo9bobo3bo25bobo3b2o$9bo9bo31b2o! #C [[ GRID THEME BOOK ]]
Table 5.4(12): hwss sequential

Sequential glider synthesis of a heavyweight spaceship.

RLE code: Select all
x = 49, y = 17, rule = B3/S23 4bo20bobo8bobo$5bo19b2o10b2o$3b3o10bo9bo10bo10bo$14bobo29b2o$15b2o30b 2o$4b2o32b2o$4b2o31bobo3b2o$2o22b3o10b2o5bo$b2o31bo6b3o$o6b2o25b2o5bo$ 6b2o25bobo$8bo12b2o$20bo2bo$21bobo$22bo3bo$25b2o$25bobo! #C [[ GRID THEME BOOK ]]
Figure 5.6: gosper sequential

Sequential glider synthesis of a Gosper glider gun.

RLE code: Select all
x = 81, y = 44, rule = B3/S23 23bo$21bobo$22b2o2bo$25bo$25b3o22b2o24b2o$50b2o24b2o4$77bo$76bo$55bo 20b3o$54bo$5bo48b3o$o3bo21b2o23b2o$b2ob3o18bo2bo21bo2bo22b2o$2o23bo2bo 21bo2bo22bobo$26b2o23b2o24b2o9$28b2o23b2o24b2o$2b2o23bo2bo21bo2bo22bob o$3b2ob3o18bo2bo21bo2bo22b2o$2bo3bo21b2o23b2o$7bo48b3o19bo$56bo20b2o$ 57bo19bobo6$52b2o24b2o$27b3o22b2o24b2o$27bo$24b2o2bo$23bobo$25bo! #C [[ GRID THEME BOOK ]]
Figure 5.7: ecologist synth

Sequential glider synthesis of the ecologist.

RLE code: Select all
x = 233, y = 28, rule = B3/S23 4bo$2b2o54bo$3b2o53bobo$58b2o$o$b2o42bo2bo7bo42bo2bo64bo2bo48bo2bo$2o 47bo4bobo46bo6b2o59bo6b2o43bo6b2o$4b3o38bo3bo5b2o42bo3bo4b2ob2o54bo3bo 4b2ob2o38bo3bo4b2ob2o$6bo39b4o9b2o39b4o4b4o56b4o4b4o40b4o4b4o$5bo54b2o 47b2o66b2o50b2o$59bo2$228bo$228b2o$229b2o$228b2o$176b2o7b2o$177b2o6bob o$176bo8bo2$230b2o$180b2o46b2ob2o$140bo39b2o46b4o$139b2o44b3o41b2o$ 139bobo43bo$134b2o40bo9bo$135b2o39b2o$134bo40bobo! #C [[ GRID THEME BOOK ]]
Figure 5.8: ecologist synth b

A sequential synthesis of an ecologist.

RLE code: Select all
x = 23, y = 19, rule = B3/S23 o2bo$4bo6b2o$o3bo4b2ob2o$b4o4b4o6bo$10b2o7b2o$18bobo3$20b3o$11b2o7bo$ 9b2ob2o7bo$9b4o$10b2o3$11b2o$9b2ob2o$9b4o$10b2o! #C [[ GRID THEME BOOK ]]
Figure 5.9: space rake synth

A sequential synthesis of a space rake.

RLE code: Select all
x = 22, y = 30, rule = B3/S23 4bo2bo$8bo6b2o$4bo3bo4b2ob2o$5b4o4b4o$14b2o3$13bo$13b2o$14b2o$13b2o5$ 15b2o$13b2ob2o$13b4o$14b2o$8bo$8b2o$7bobo$13b2o$12b2o$14bo4b2o$19bobo$ 19bo$2o$b2o$o! #C [[ GRID THEME BOOK ]]
Figure 5.10: schick engine synth

Glider synthesis of a Schick engine.

RLE code: Select all
x = 22, y = 27, rule = B3/S23 4bo$5bo$3b3o$21bo$19b2o$20b2o3$12bo$6bo5bobo$5bo6b2o$b2o2b3o$o2bo10b3o $bobo10bo$2bo12bo2$11b2o$11b2o4$20b2o$19b2o$21bo$3b3o$5bo$4bo! #C [[ GRID THEME BOOK ]]
Figure 5.11: coe ship incremental

Incremental glider synthesis of a Coe ship.

RLE code: Select all
x = 36, y = 21, rule = B3/S23 33bobo$25bobo5b2o$2bo23b2o6bo$3bo22bo$b3o$30bo$8bobo17bo3bo$4b2o2b2o 23bo$3bobo3bo18bo4bo$4bo24b5o4$31b2o$3b2o3bo20b2ob2o$3b2o2b2o20b4o$7bo bo20b2o2$3o$2bo$bo! #C [[ GRID THEME BOOK ]]
Figure 5.12: 3-engine Cordership synthesis

11-glider synthesis of Paul Tooke's 3-engine Cordership, built by Luka Okanishi and Dave Greene on March 13, 2017.
More info: https://www.conwaylife.com/wiki/3-engine_Cordership

RLE code: Select all
x = 102, y = 94, rule = B3/S23 58bobo$58b2o$52bo6bo17bo$53bo22bo$51b3o22b3o$48b2o$47bobo$49bo2$101bo$ 99b2o$100b2o22$74b2o$73b2o$75bo$48bo$48b2o$2o45bobo$b2o$o96b2o$97bobo$ 97bo2$70b3o$72bo$71bo45$38bo$38b2o$37bobo! #C [[ GRID THEME BOOK ]]
Figure 5.13: richs p16 soup

A symmetric soup that leaves behind a period 16 oscillator in its ash.

RLE code: Select all
x = 31, y = 16, rule = B3/S23 o2b2ob2o3bo7bo3b2ob2o2bo$3bo2b3ob2o3bo3b2ob3o2bo$bo4bo2b13o2bo4bo$o3b 2o2bo2bob5obo2bo2b2o3bo$2obo2b5obobobobob5o2bob2o$2b4o2b3ob3ob3ob3o2b 4o$4obobob3obobobob3obobob4o$2obo2b3o3bo5bo3b3o2bob2o$2bobo2bobo3b5o3b obo2bobo$o2bo3b2obobob3obobob2o3bo2bo$o3b2o2bo3b2o3b2o3bo2b2o3bo$b3o2b o2b2o2bo3bo2b2o2bo2b3o$bo4b2obobob2ob2obobob2o4bo$3b2o2bo3b2o5b2o3bo2b 2o$4bo3bo5bobo5bo3bo$o2b3o2bo2b2ob3ob2o2bo2b3o2bo! #C [[ GRID THEME BOOK ]]
Figure 5.15: richs p16 predecessor

A reaction involving common objects that evolves into a period 16 oscillator (and two boats).

RLE code: Select all
x = 31, y = 12, rule = B3/S23 12b2o3b2o$7b2o3b2o3b2o3b2o$6bo2bo11bo2bo$7b2o13b2o2$9b3o7b3o$8bo3bo5bo 3bo$3bo3bo5bo3bo5bo3bo$b3o3bo5bo3bo5bo3b3o$o6bo5bo3bo5bo6bo$2o6bo3bo5b o3bo6b2o$9b3o7b3o! #C [[ GRID THEME BOOK ]]
Figure 5.16: richs p16 synthesis

An 18-glider synthesis of Rich's p16 oscillator.

RLE code: Select all
x = 150, y = 37, rule = B3/S23 51bo63bo$49bobo63bobo$50b2o3bo59b2o$53b2o27b2o28b2o$54b2o26bobo27bobo$ 84bo28bo$84b2o$29bo$30bo$28b3o29bo29bo$2bo56bobo27bobo$obo22b3o31bobo 22bo4bobo$b2o2bo21bo32bo24bo4bo24b2o28b2o$4bo21bo56b3o28bo2bo26bo2bo$ 4b3o24b2o19bo64b2o28b2o$20bo10b2o20bo7b2o28b2o18bo5b3o21bo5b3o$18bobo 30b3o7b2o20b2o6b2o17bobo3bo2bo20bobo3bo2bo$19b2o62b2o26b2o3b3o22b2o3b 3o2$31b2o50b2o26b2o3b3o22b2o3b3o$4b3o24b2o18b3o7b2o20b2o6b2o17bobo3bo 2bo20bobo3bo2bo$4bo48bo7b2o28b2o18bo5b3o21bo5b3o$b2o2bo46bo64b2o28b2o$ obo80b3o28bo2bo26bo2bo$2bo57bo24bo4bo24b2o28b2o$59bobo22bo4bobo$59bobo 27bobo$60bo29bo3$84b2o$22b2o60bo28bo$21bobo30b2o26bobo27bobo$23bo29b2o 27b2o28b2o$50b2o3bo59b2o$49bobo63bobo$51bo63bo! #C [[ GRID THEME BOOK ]]
Figure 5.17: breeder front

A configuration of space rakes that serves as the front of a Gosper glider gun breeder.

RLE code: Select all
x = 191, y = 140, rule = B3/S23 91b2o$90b4o$90b2ob2o$92b2o15b2o$107b2ob2o$87b2o18b4o64bo2bo$87bo20b2o 69bo6b2o$86bobo86bo3bo4b2ob2o$86bo89b4o4b4o$86bo15b2o3bo77b2o$100b3o4b 2o$79bobo17bo2bo5b2o67bo$80b2o17bo7b2o66bo4bo3bo$80bo18b2o66b2ob2o3bo 3bo4b2o$167bo2bo8bo5b2o$65b5o98b3o13b2o$64bo4bo4bobo21bo2bo71bo2bo$69b o5b2o25bo6b2o63b2o$64bo3bo6bo22bo3bo4b2ob2o$66bo25b4o3b4o4b4o$91bo3bo 12b2o47bo28b2o$69bobo15bo7bo61bobo24b2ob2o$70b3o9b7o2bo2bo62b2o9b2o14b 4o$70bo10bo2b3ob2o76b2ob2o14b2o$82b7o2bo2bo71b4o$87bo7bo71b2o$91bo3bo 63b2o$92b4o48bo13b4o$143bobo12b2ob2o$144bo4b3ob2o5b2o$127bo20b2o5bo$ 59bobo65bobo17bo7b2o$60b2o65b2o19b2o5bo$60bo88b3ob2o5b2o$158b2ob2o$ 158b4o$159b2o$145bo2bo$149bo$145bo3bo$146b4o5$82bo$44bobo35bobo$45b2o 35b2o$45bo12$37bo$29bobo5bobo$b2o27b2o5b2o$o2bo26bo$o2bo$b2o9$3b2o$2bo 2bo$2bo2bo26bo$3b2o27b2o5b2o$31bobo5bobo$39bo12$47bo$47b2o35b2o$46bobo 35bobo$84bo5$148b4o$147bo3bo$151bo$147bo2bo$161b2o$160b4o$160b2ob2o$ 62bo88b3ob2o5b2o$62b2o65b2o19b2o5bo$61bobo65bobo17bo7b2o$129bo20b2o5bo $146bo4b3ob2o5b2o$145bobo12b2ob2o$94b4o48bo13b4o$93bo3bo63b2o$89bo7bo 71b2o$84b7o2bo2bo71b4o$72bo10bo2b3ob2o76b2ob2o14b2o$72b3o9b7o2bo2bo62b 2o9b2o14b4o$71bobo15bo7bo61bobo24b2ob2o$93bo3bo12b2o47bo28b2o$68bo25b 4o3b4o4b4o$66bo3bo6bo22bo3bo4b2ob2o$71bo5b2o25bo6b2o63b2o$66bo4bo4bobo 21bo2bo71bo2bo$67b5o98b3o13b2o$169bo2bo8bo5b2o$82bo18b2o66b2ob2o3bo3bo 4b2o$82b2o17bo7b2o66bo4bo3bo$81bobo17bo2bo5b2o67bo$102b3o4b2o$88bo15b 2o3bo77b2o$88bo89b4o4b4o$88bobo86bo3bo4b2ob2o$89bo20b2o69bo6b2o$89b2o 18b4o64bo2bo$109b2ob2o$94b2o15b2o$92b2ob2o$92b4o$93b2o! #C [[ GRID THEME BOOK ]]
Figure 5.18: Gosper glider gun breeder

A breeder that makes used of 12 period 60 space rakes to synthesize Gosper glider guns.

RLE code: Select all
x = 491, y = 168, rule = B3/S23 267b2o$266b4o$266b2ob2o$268b2o15b2o$283b2ob2o$263b2o18b4o$263bo20b2o$ 262bobo$262bo$262bo15b2o3bo$276b3o4b2o65b2o5b4o$255bobo17bo2bo5b2o62b 2ob2o3bo3bo$256b2o17bo7b2o63b4o8bo$256bo18b2o72b2o5bo2bo$391b2o$241b5o 98b2o9bo34b4o$240bo4bo4bobo21bo2bo64b5o8b3o32b2ob2o$132bo2bo109bo5b2o 25bo6b2o55b2o4bo5bo3bo33b2o15b2o$136bo6b2o95bo3bo6bo22bo3bo4b2ob2o54b 2o5b5o4bo48b2ob2o$132bo3bo4b2ob2o96bo25b4o3b4o4b4o57b2o4b4obob2o28b2o 18b4o64bo2bo$133b4o4b4o122bo3bo12b2o61b3ob2o3bo30bo20b2o69bo6b2o$142b 2o49b2o5bo2bo41bobo15bo7bo81bobo30bobo86bo3bo4b2ob2o$192b4o8bo41b3o9b 7o2bo2bo115bo89b4o4b4o$136bo55b2ob2o3bo3bo41bo10bo2b3ob2o67bo52bo15b2o 3bo77b2o$135bo3b3o52b2o5b4o53b7o2bo2bo60b2o24b4o39b3o4b2o$134bo3bob3o 120bo7bo60b2o22bo3bo18bobo17bo2bo5b2o67bo$135bo6b2o123bo3bo67b4o17bo 19b2o17bo7b2o66bo4bo3bo$121bo14b5obo41bo83b4o66bo3bo13bo2bo20bo18b2o 66b2ob2o3bo3bo4b2o$120bo6bo10b4o40bo2bo13b2o117bo23bo124bo2bo8bo5b2o$ 120bob2o3bo11bo42bo3bo11b2ob2o113b2o20bo2bo23b5o98b3o13b2o$121b3o58bo 3bo12bo2bo114b2o11bo2bo30bo4bo4bobo21bo2bo71bo2bo$122bo59bo3bo12bo2bo 32bobo79b2o15bo34bo5b2o25bo6b2o63b2o$143b2o38bobo3b2o9b2o34b2o79b2o11b o3bo29bo3bo6bo22bo3bo4b2ob2o$141b2ob2o38bo4b2o45bo66bo15bo11b4o31bo25b 4o3b4o4b4o$108bo16b2o14b4o156b2o11bo7b2o2b3o62bo3bo12b2o47bo28b2o$108b obo12b2ob2o14b2o56bo2bo98b2o9bo8b2o2b3o40bobo15bo7bo61bobo24b2ob2o$ 108b2o13b4o77bo109bo7b2o2b3o41b3o9b7o2bo2bo62b2o9b2o14b4o$124b2o45bobo 8bo2bo14bo3bo114bo11b4o35bo10bo2b3ob2o76b2ob2o14b2o$116b2o53b2o13bo14b 4o112b2o11bo3bo47b7o2bo2bo71b4o$93bo21b4o53bo9bo3bo147bo52bo7bo71b2o$ 93bobo19b2ob2o63b4o143bo2bo57bo3bo63b2o$93b2o11b3ob2o5b2o273b4o48bo13b 4o$105b2o5bo43bobo161b2o121bobo12b2ob2o$104bo7b2o42b2o17b4o139b2ob2o 121bo4b3ob2o5b2o$105b2o5bo44bo5bo10bo3bo139b4o105bo20b2o5bo$106b3ob2o 5b2o43bobo4b2o7bo140b2o38bobo65bobo17bo7b2o$115b2ob2o40b2o2bo3b4o2bo2b o42bobo137b2o65b2o19b2o5bo$115b4o39b2obo5bo3b2o48b2o137bo88b3ob2o5b2o$ 116b2o42b2o2bo3b4o2bo2bo43bo36bo199b2ob2o$102bo2bo56bobo4b2o7bo77b2o 200b4o$106bo56bo10bo3bo78b2o200b2o$102bo3bo68b4o266bo2bo$103b4o342bo$ 163b2o280bo3bo$48bo113b4o280b4o$48bobo111b2ob2o$48b2o114b2o$111bobo$ 111b2o$112bo269bo$344bobo35bobo$205bobo137b2o35b2o$206b2o137bo$206bo6b o$211b2o$212b2o$2o28b2o28b2o28b2o28b2o28b2o28b2o$2o28b2o28b2o28b2o28b 2o28b2o28b2o2$3bo$3bobo$3b2o$66bobo$66b2o$67bo269bo$329bobo5bobo$61b2o 28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o27b2o5b2o$2o28b2o28bo2bo26bo2b o26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo$obo27bobo27bo2b o26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo$b2o28b2o28b 2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o9$3b2o28b2o28b2o28b2o28b2o 28b2o28b2o28b2o28b2o28b2o28b2o$2bobo27bobo27bo2bo26bo2bo26bo2bo26bo2bo 26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo$2b2o28b2o28bo2bo26bo2bo26bo2bo26bo 2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo$63b2o28b2o28b2o28b2o28b2o 28b2o28b2o28b2o28b2o27b2o5b2o$331bobo5bobo$69bo269bo$68b2o$4b2o62bobo$ 3b2o$5bo3$2b2o28b2o28b2o28b2o28b2o28b2o28b2o$2b2o28b2o28b2o28b2o28b2o 28b2o28b2o$214b2o$213b2o$208bo6bo$208b2o137bo$207bobo137b2o35b2o$346bo bo35bobo$114bo269bo$113b2o$49b2o62bobo$48b2o116b2o$50bo51b2o60b2ob2o$ 101b4o59b4o280b4o$101b2ob2o59b2o280bo3bo$103b2o346bo$177b4o266bo2bo$ 113bo2bo48bo10bo3bo78b2o200b2o$117bo46bobo4b2o7bo77b2o200b4o$100b2o11b o3bo44b2o2bo3b4o2bo2bo43bo36bo199b2ob2o$102bo11b4o42b2obo5bo3b2o48b2o 137bo88b3ob2o5b2o$97bo7b2o2b3o50b2o2bo3b4o2bo2bo42bobo137b2o65b2o19b2o 5bo$96bo8b2o2b3o52bobo4b2o7bo140b2o38bobo65bobo17bo7b2o$97bo7b2o2b3o 47bo5bo10bo3bo139b4o105bo20b2o5bo$102bo11b4o40b2o17b4o139b2ob2o121bo4b 3ob2o5b2o$94b2o4b2o11bo3bo40bobo161b2o121bobo12b2ob2o$93b2o22bo276b4o 48bo13b4o$95bo17bo2bo68b4o143bo2bo57bo3bo63b2o$121bo2bo49bo9bo3bo147bo 52bo7bo71b2o$125bo47b2o13bo14b4o112b2o11bo3bo47b7o2bo2bo71b4o$109b2o 10bo3bo13bo2bo30bobo8bo2bo14bo3bo114bo11b4o35bo10bo2b3ob2o76b2ob2o14b 2o$108b2o12b4o17bo62bo109bo7b2o2b3o41b3o9b7o2bo2bo62b2o9b2o14b4o$110bo 28bo3bo58bo2bo98b2o9bo8b2o2b3o40bobo15bo7bo61bobo24b2ob2o$140b4o159b2o 11bo7b2o2b3o62bo3bo12b2o47bo28b2o$186bo4b2o45bo66bo15bo11b4o31bo25b4o 3b4o4b4o$185bobo3b2o9b2o34b2o79b2o11bo3bo29bo3bo6bo22bo3bo4b2ob2o$121b 3o3b2o55bo3bo12bo2bo32bobo79b2o15bo34bo5b2o25bo6b2o63b2o$120bo3bo2b2o 9b2o44bo3bo12bo2bo114b2o11bo2bo30bo4bo4bobo21bo2bo71bo2bo$119bo5bo11bo 2b2o42bo3bo11b2ob2o113b2o20bo2bo23b5o98b3o13b2o$125bo10b3o2bo42bo2bo 13b2o117bo23bo124bo2bo8bo5b2o$119bo5bo10bo4bo44bo83b4o66bo3bo13bo2bo 20bo18b2o66b2ob2o3bo3bo4b2o$121bob2o11b5o128bo3bo67b4o17bo19b2o17bo7b 2o66bo4bo3bo$137b2o126bo7bo60b2o22bo3bo18bobo17bo2bo5b2o67bo$196b2o5b 4o53b7o2bo2bo60b2o24b4o39b3o4b2o$132b2o5bo2bo51b2ob2o3bo3bo41bo10bo2b 3ob2o67bo52bo15b2o3bo77b2o$131b4o8bo50b4o8bo41b3o9b7o2bo2bo115bo89b4o 4b4o$131b2ob2o3bo3bo51b2o5bo2bo41bobo15bo7bo81bobo30bobo86bo3bo4b2ob2o $133b2o5b4o125bo3bo12b2o61b3ob2o3bo30bo20b2o69bo6b2o$244bo25b4o3b4o4b 4o57b2o4b4obob2o28b2o18b4o64bo2bo$242bo3bo6bo22bo3bo4b2ob2o54b2o5b5o4b o48b2ob2o$247bo5b2o25bo6b2o55b2o4bo5bo3bo33b2o15b2o$242bo4bo4bobo21bo 2bo64b5o8b3o32b2ob2o$243b5o98b2o9bo34b4o$393b2o$258bo18b2o72b2o5bo2bo$ 258b2o17bo7b2o63b4o8bo$257bobo17bo2bo5b2o62b2ob2o3bo3bo$278b3o4b2o65b 2o5b4o$264bo15b2o3bo$264bo$264bobo$265bo20b2o$265b2o18b4o$285b2ob2o$ 270b2o15b2o$268b2ob2o$268b4o$269b2o! #C [[ GRID THEME BOOK ]]
Figure 5.20: slow salvo splitter

A slow salvo of 2 gliders duplicates a block.

RLE code: Select all
x = 138, y = 124, rule = B3/S23 bo$2bo$3o118$131bo$132bo$130b3o3b2o$136b2o! #C [[ GRID THEME BOOK ]]
Figure 5.21(a): block move 1 glider

A single glider can move a block by 1 cell horizontally and 2 cells vertically.

RLE code: Select all
x = 4, y = 7, rule = B3/S23 2bo$3bo$b3o3$2o$2o! #C [[ GRID THEME BOOK ]]
Figure 5.21(b): block move 6 gliders

A slow salvo of 6 gliders can move a block by 1 cell horizontally and 1 cell vertically.

RLE code: Select all
x = 41, y = 37, rule = B3/S23 bo$2bo$3o3$7bo$8bo$6b3o$27bo$28bo$26b3o$10bo$11bo$9b3o5$29bo$30bo$28b 3o10$39bo$40bo$38b3o3$38b2o$38b2o! #C [[ GRID THEME BOOK ]]
Figure 5.22(a): (2,1) block push

A slow salvo of 5 gliders can push a block by 2 cells horizontally and 1 cell vertically, thus undoing a (2,1) block pull.

RLE code: Select all
x = 58, y = 74, rule = B3/S23 bo$2bo$3o20$4bobo$5b2o$5bo10$21bo$22bo$20b3o18$34bo$35bo$33b3o10$56bo$ 57bo$55b3o4$56b2o$56b2o! #C [[ GRID THEME BOOK ]]
Figure 5.22(b): block move 1 neg1

A slow salvo of 6 gliders can move a block by 1 cell horizontally and 1 cell vertically.

RLE code: Select all
x = 103, y = 108, rule = B3/S23 bo$2bo$3o15$20bobo$21b2o$21bo34$41bo$42bo$40b3o8$61bo$62bo$60b3o25$81b o$82bo$80b3o8$101bo$102bo$100b3o4$101b2o$101b2o! #C [[ GRID THEME BOOK ]]
Figure 5.22(c): (11,0) block pull

A slow salvo of 4 gliders can pull a block by 11 cells horizontally and 0 cells vertically.

RLE code: Select all
x = 65, y = 62, rule = B3/S23 2bo$obo$b2o18$14bobo$15b2o$15bo13$43bo$44bo$42b3o18$63bo$64bo$62b3o3$ 62b2o$62b2o! #C [[ GRID THEME BOOK ]]
Figure 5.22(d): (11,0) block push

A slow salvo of 6 gliders can push a block by 11 cells horizontally and 0 cells vertically.

RLE code: Select all
x = 122, y = 138, rule = B3/S23 bo$2bo$3o49$27bobo$28b2o$28bo17$50bo$51bo$49b3o23$69bobo$70b2o$70bo13$ 100bo$101bo$99b3o18$120bo$121bo$119b3o4$120b2o$120b2o! #C [[ GRID THEME BOOK ]]
Figure 5.23: one time turner

An arrangement of two blocks that can be used to turn a glider by 90 degrees.

RLE code: Select all
x = 7, y = 10, rule = B3/S23 bo$2bo$3o$5b2o$5b2o4$b2o$b2o! #C [[ GRID THEME BOOK ]]
Figure 5.24: create one time turner

A p1 slow salvo that creates a one-time turner and leaves us with another block to manipulate.

RLE code: Select all
x = 1323, y = 1346, rule = B3/S23 bo$2bo$3o128$121bo$122bo$120b3o117$241bo$242bo$240b3o119$361bo$362bo$ 360b3o126$481bo$482bo$480b3o121$601bo$602bo$600b3o118$721bo$722bo$720b 3o119$841bo$842bo$840b3o111$961bo$962bo$960b3o115$1081bo$1082bo$1080b 3o115$1201bo$1202bo$1200b3o128$1321bo$1322bo$1320b3o3$1320b2o$1320b2o! #C [[ GRID THEME BOOK ]]
Figure 5.25: unidirection clock synthesis

A demonstration of how one-time turners can be used to turn a set of gliders coming from the same direction into a set of gliders coming from different directions, and thus synthesize an object like a clock.

RLE code: Select all
x = 59, y = 51, rule = B3/S23 $3bo$bobo$2b2o2$37bo$38b2o$37b2o14$bo$2b2o$b2o54b2o$57b2o4$42bo10b2o$ 43bo9b2o$41b3o10$55b2o$55b2o2$29b2o$29b2o$42b2o7b2o$42b2o7b2o$24b2o$ 24b2o$47b2o$47b2o! #C [[ GRID THEME BOOK ]]
Figure 5.26: one time splitter

A one-time splitter, which uses 3 blocks to turn 1 glider into 4 gliders.

RLE code: Select all
x = 11, y = 28, rule = B3/S23 9b2o$9b2o18$3bo$4bo$2b3o2b2o$7b2o4$2o$2o! #C [[ GRID THEME BOOK ]]
Table 5.5: 180 degree one time turners

A collection of 180-degree one-time turners that can offset a glider by any number of generations mod 8, and can also either preserve or change its color. The left column of reflectors preserves color, while the right column changes it.

RLE code: Select all
x = 155, y = 387, rule = B3/S23 139b2o$2b2obo96b2obo33b2o$2bob2o29b2o65bob2o$2o4b2o27b2o63b2o4b2o$o5bo 93bo5bo$bo5bo36b2o55bo5bo22b2o$2o4b2o36b2o54b2o4b2o22b2o$o5bo93bo5bo$b o5bo93bo5bo$2o4b2o92b2o4b2o$o5bo93bo5bo24b2o$bo5bo23b2o68bo5bo23b2o$2o 4b2o23b2o67b2o4b2o$2b2obo96b2obo$2bob2o5bo90bob2o5bo$10bobo97bobo$11b 2o98b2o2$14bo99bo$14bobo97bobo$14b2o98b2o2$18b2o98b2o22b2o$18bobo21b2o 74bobo21b2o$19bo22b2o75bo2$151b2o$51b2o98b2o$51b2o5$139b2o$39b2o97bobo $38bobo99bo7b2o$40bo7b2o98b2o$48b2o11$36b2o4b2o$36b2o4b2o2$2o98b2o28b 2o$bo99bo28b2o$o99bo$2o98b2o$125b2o$2o36b2o60b2o23b2o$bo30b2o4b2o61bo$ o31b2o66bo$2o98b2o2$2o98b2o$bo99bo$o99bo$2o9bo88b2o9bo$10bobo97bobo$ 11b2o98b2o2$14bobo97bobo$14b2o98b2o$15bo99bo2$18b2o98b2o26b2o$18bobo 21b2o74bobo20b2o3b2o$19bo22b2o75bo21b2o3$51b2o$51b2o3$151b2o$151b2o$ 139b2o$39b2o97bobo$38bobo99bo$40bo7b2o$48b2o13$139b2o$2b2obo96b2obo33b 2o$2bob2o29b2o65bob2o$6b2o27b2o69b2o$6bo99bo$7bo36b2o61bo22b2o$6b2o36b 2o60b2o22b2o$2b2obo96b2obo$2bob2o96bob2o$2o98b2o$o99bo30b2o$bo29b2o68b o29b2o$2o29b2o67b2o$2b2obo96b2obo$2bob2o5bo90bob2o5bo$10bobo97bobo$11b 2o98b2o$15bo99bo$14bo99bo$14b3o97b3o3$18b2o98b2o23b2o$18bobo22b2o73bob o22b2o$19bo23b2o74bo$152b2o$52b2o98b2o$52b2o4$152b2o$52b2o98b2o$52b2o 85b2o$39b2o97bobo$38bobo99bo$40bo12$36b2o4b2o$36b2o4b2o2$2obo96b2obo$o b2o96bob2o$4b2o98b2o$4bo99bo$5bo99bo$4b2o32b2o64b2o$2obo28b2o4b2o60b2o bo26b2o$ob2o28b2o66bob2o26b2o10b2o$4b2o98b2o36b2o$4bo99bo$5bo99bo$4b2o 98b2o24b2o$2obo96b2obo26b2o$ob2o7bo88bob2o7bo$10bobo97bobo$11b2o98b2o$ 16bo99bo$14b2o98b2o32b2o$15b2o98b2o31b2o3$18b2o98b2o$18bobo22b2o73bobo 31b2o$19bo23b2o74bo32b2o2$52b2o$52b2o5$52b2o$52b2o85b2o$39b2o97bobo$ 38bobo99bo$40bo15$2o3b2o27b2o4b2o58b2o3b2o29b2o$2o3b2o27b2o4b2o58b2o3b 2o29b2o2$2o3b2o93b2o3b2o38b2o$obobobo93bobobobo38b2o$2bobo97bobo$b2obo 96b2obo$5b2o98b2o$6bo99bo$5bo25b2o72bo26b2o$5b2o24b2o72b2o25b2o$6bo99b o$5bo99bo$5b2o4bo93b2o4bo$10bobo97bobo$11b2o98b2o$15bo99bo$15bobo97bob o$15b2o98b2o$148b2o$143b2o3b2o$18b2o98b2o23b2o$18bobo22b2o73bobo$19bo 23b2o74bo2$52b2o$52b2o2$153b2o$153b2o2$52b2o$52b2o85b2o$39b2o97bobo$ 38bobo99bo$40bo15$2b2obo24b2o70b2obo32b2o$2bob2o24b2o70bob2o32b2o$2o 98b2o$o99bo$bo23b2o74bo$2o23b2o73b2o27b2o$2b2obo96b2obo23b2o$2bob2o96b ob2o$6b2o98b2o$6bo99bo$7bo99bo22b2o$6b2o98b2o22b2o$2b2obo96b2obo$2bob 2o5bo90bob2o5bo$10bobo97bobo$11b2o98b2o$15bobo97bobo$15b2o98b2o31b2o$ 16bo99bo31b2o3$18b2o98b2o$18bobo97bobo31b2o$19bo21b2o76bo32b2o$41b2o3$ 50b2o$50b2o4$139b2o$39b2o97bobo$38bobo99bo$40bo$47b2o$47b2o11$35b2o4b 2o$35b2o4b2o$2b2obo96b2obo$2bob2o96bob2o$2o98b2o$o99bo$bo99bo30b2o$2o 98b2o30b2o10b2o$2b2obo31b2o63b2obo38b2o$2bob2o25b2o4b2o63bob2o$2o4b2o 23b2o67b2o4b2o$o5bo93bo5bo25b2o$bo5bo93bo5bo24b2o$2o4b2o92b2o4b2o$2b2o bo96b2obo$2bob2o5bo90bob2o5bo$10bobo97bobo$11b2o3bo94b2o3bo$15bo99bo$ 15b3o97b3o$48b2o$48b2o$143b2o$18b2o98b2o23b2o$18bobo97bobo$19bo32b2o 65bo$52b2o98b2o$152b2o7$139b2o$39b2o97bobo8b2o$38bobo99bo8b2o$40bo11$ 125b2o4b2o$125b2o4b2o3$ob2o26b2o68bob2o$2obo26b2o68b2obo$4b2o98b2o$5bo 99bo$4bo20b2o77bo$4b2o19b2o77b2o$2b2o98b2o$3bo99bo23b2o$2bo99bo24b2o$ 2b2o98b2o$2o98b2o$bo99bo$o99bo$2o9bo88b2o9bo$10bobo97bobo$11b2o4bo93b 2o4bo$15b2o98b2o$16b2o98b2o4$18b2o98b2o$18bobo97bobo$19bo22b2o75bo21b 2o$42b2o97b2o2$51b2o97b2o$51b2o97b2o5$51b2o86b2o9b2o$39b2o10b2o85bobo 9b2o$38bobo99bo$40bo! #C [[ GRID THEME BOOK ]]
Figure 5.27: clock slow salvo

A an arrangement of blocks that turns a glider into a clock.

RLE code: Select all
x = 125, y = 82, rule = B3/S23 114b2o4b2o$114b2o4b2o7$116b2o$110b2o4b2o$110b2o2$119b2o$119b2o$79b2o$ 79b2o$20b2o$20b2o101b2o$123b2o$11b2o$11b2o5$24b2o$24b2o7$73bo$15b2o57b o$15b2o55b3o2b2o$77b2o$6b2o$6b2o$108b2o$70b2o36b2o$70b2o27b2o$99b2o$6b 2o$6b2o$94b2o$94b2o$98b2o$2o96b2o3b2o$2o101b2o5$2o$2o2$9b2o$9b2o9$38b 2o$38b2o3$23b2o51b2o$23b2o21b2o28b2o$46b2o2$81b2o$47b2o32b2o$10b2o35b 2o$10b2o2$19b2o$19b2o! #C [[ GRID THEME BOOK ]]
Figure 5.28: Clock inserter

A reaction in which two opposing gliders transform a clock into a perpendicular glider.

RLE code: Select all
x = 9, y = 11, rule = B3/S23 2bo$obo$bobo$bo$5bobo$5b2o$6bo2$7b2o$6bobo$8bo! #C [[ GRID THEME BOOK ]]
Figure 5.29: clock inserter effective

A demonstration of how effective the clock inserter is at inserting a glider in front of and beside other gliders. This configuration was compiled by Dave Greene.

RLE code: Select all
x = 39, y = 37, rule = B3/S23 26bo$24b2o$25b2o2$29b3o$29bo$30bo3$29b3o$29bo$30bo3$18bo10b3o$19b2o8bo $17b2o11bo$19bo2$3o26b3o$2bo26bo$bo28bo$33b2o$5bo4bo4bo4bo12bobo$4b2o 3b2o3b2o3b2o12bo$4bobo2bobo2bobo2bobo$36b3o$23b2o11bo$22b2o13bo$24bo$ 27bo6bo$26b2o5b2o$26bobo4bobo2$30b2o$29b2o$31bo! #C [[ GRID THEME BOOK ]]
Figure 5.30(a): 14 cell synth

The final 14-cell still life to be synthesized by gliders.

RLE code: Select all
x = 6, y = 7, rule = B3/S23 2bo$bobo$o2bo$b2ob2o$2bo2bo$2bobo$3bo! #C [[ GRID THEME BOOK ]]
Figure 5.30(b): 15 cell synth

The final 15-cell still life to be synthesized by gliders.

RLE code: Select all
x = 6, y = 7, rule = B3/S23 3b2o$3bo$b2o2bo$obob2o$o2bo$bobo$2bo! #C [[ GRID THEME BOOK ]]
Figure 5.30(c): 16 cell synth

The final 16-cell still life to be synthesized by gliders.

RLE code: Select all
x = 5, y = 7, rule = B3/S23 2b2o$bo2bo$o2bo$2ob2o$bo2bo$o2bo$b2o! #C [[ GRID THEME BOOK ]]
Figure 5.30(d): 17 cell synth

The final 17-cell still life to be synthesized by gliders.

RLE code: Select all
x = 7, y = 7, rule = B3/S23 2o$obo2b2o$3bo2bo$b2ob2o$bo2bo$2bo2bo$3b2o! #C [[ GRID THEME BOOK ]]
Figure 5.30(e): 18 cell synth

The final 18-cell still life to be synthesized by gliders.

RLE code: Select all
x = 7, y = 7, rule = B3/S23 2o$obo2b2o$3bo2bo$b2ob2o$bo2bo$2bo2bo$3b2o! #C [[ GRID THEME BOOK ]]
Figure 5.30(f): 19 cell synth

The final 19-cell still life to be synthesized by gliders.

RLE code: Select all
x = 8, y = 8, rule = B3/S23 7bo$2o3b3o$o3bo$2bo2bo$b2ob2o$o2bo$bobo$2bo! #C [[ GRID THEME BOOK ]]
Figure 5.31: 17 cell synthesis

94-glider incremental synthesis of a 17-cell still life

RLE code: Select all
x = 404, y = 406, rule = B3/S23 403bo$401b2o$402b2o19$8bo$9b2o$8b2o7$378bobo$18bo359b2o$19bo359bo$17b 3o2$376bobo$376b2o$377bo2$20bobo$21b2o333bo$21bo334bobo$356b2o$23bo28b o$24b2o24bobo$23b2o4bobo19b2o$30b2o$30bo324bo6bo$355bobo2b2o$355b2o4b 2o6$64bo$65bo$63b3o293bo$357b2o$358b2o2$354bo$353bo$353b3o21$322bo$ 322bobo$322b2o14$295bobo$295b2o$296bo$112bobo$113b2o$87bo25bo$85bobo$ 86b2o5$296bo$296bobo$296b2o5$281bobo$281b2o$282bo11$275bo$273b2o$274b 2o9$130bo$131bo$129b3o19$243bo$241b2o$242b2o2$156bo$157b2o$156b2o83bo$ 240bo$240b3o4$237bo$236bo$236b3o14$193bo$194b2o$193b2o2$196bo$195bo$ 195b3o$191b3o$193bo$192bo$200b2o$199b2o$201bo7$184bo23bo$184b2o21b2o$ 183bobo21bobo4$212b3o$212bo$185b2o26bo$184bobo$186bo$175bo$175b2o$174b obo2$207b3o$207bo$169b3o36bo$171bo47bo$170bo47b2o$218bobo3$174b3o56bo 5b3o$176bo55b2o5bo$175bo56bobo5bo$219b3o4bo$153b3o63bo5b2o$155bo64bo4b obo$154bo$166b3o$168bo$155bo11bo$155b2o83bo$154bobo82b2o$239bobo2$230b 3o$230bo$231bo$153b3o$155bo$154bo3$247bo$144b2o100b2o$145b2o99bobo$ 144bo2$243b2o$130b3o110bobo$132bo110bo$131bo2$247b2o$247bobo4b2o$247bo 5b2o$255bo4$132b2o$131bobo$133bo6$282b2o$282bobo$268b2o12bo$268bobo$ 268bo$277bo$114b2o160b2o$115b2o159bobo$114bo2$273b2o$273bobo16b2o$273b o18bobo$292bo2$289bo$288b2o$288bobo$105b2o$104bobo$106bo2$286b3o$286bo $287bo2$88b3o$90bo$89bo3$91bo209b2o$91b2o208bobo$90bobo208bo2$299bo$ 298b2o$298bobo10bo$84b2o224b2o$85b2o223bobo$84bo2$307b2o$307bobo$307bo 5$82b2o$81bobo$83bo262b2o$345b2o$347bo4$343b2o$342b2o$344bo3$65b2o$66b 2o279b3o4b3o$65bo281bo6bo$348bo6bo8$359b2o$359bobo$359bo2$44bo309b2o$ 44b2o308bobo$43bobo301b2o5bo$346b2o$348bo3$51b2o$50bobo$52bo9$364b2o$ 364bobo$18bo345bo$18b2o$17bobo2$15bo358b3o$15b2o357bo$14bobo358bo2$20b 3o7b3o$22bo9bo$21bo9bo3$15b2o$14bobo$16bo3$399b2o$399bobo$399bo5$2o 396b2o$b2o394b2o$o398bo! #C [[ GRID THEME BOOK ]]
Figure 5.32: 17 cell synthesis small

A 10-glider synthesis of a difficult-to-construct 17-cell still life.

RLE code: Select all
x = 47, y = 37, rule = B3/S23 bo$2bo$3o12$15bo29bo$13b2o5bo23bo$14b2o4bobo21b3o$20b2o6$12b2o5b2o$12b obo3b2o$b2o9bo7bo$2b2o$bo2$22b2o$22bobo$22bo$18b2o$17bobo$19bo2b2o$21b 2o$23bo! #C [[ GRID THEME BOOK ]]
Exercise 5.1(a): glider cleanup 1

A 7-glider synthesis of the fumarole, found by Stephen Silver.
More info: https://www.conwaylife.com/wiki/Fumarole

RLE code: Select all
x = 24, y = 15, rule = B3/S23 23bo$7bo13b2o$5bobo14b2o$6b2o7bo$16bo$14b3o3$14b3o$16bo$6b2o7bo$5bobo 14b2o$3o4bo13b2o$2bo20bo$bo! #C [[ GRID THEME BOOK ]]
Exercise 5.1(b): tumbler synthesis

A glider syntheses of a tumbler.

RLE code: Select all
x = 27, y = 14, rule = B3/S23 2bo21bo$obo21bobo$b2o21b2o3$7bobo7bobo$3b2o3b2o7b2o3b2o$4b2o2bo9bo2b2o $3bo19bo3$9b2o5b2o$8bobo5bobo$10bo5bo! #C [[ GRID THEME BOOK ]]
Exercise 5.1(c): snacker synthesis

A glider syntheses of a snacker.

RLE code: Select all
x = 84, y = 83, rule = B3/S23 obo78bobo$b2o78b2o$bo80bo5$7bo68bo$5bobo68bobo$6b2o68b2o4$47bo$45b2o7b o$46b2o5bo$18bo34b3o9bo$19bo44bo$17b3o44b3o16$58b2o$57b2o$59bo$41bobo$ 41b2o$42bo5bo$48bobo$48b2o3$41b3o$43bo$24bo17bo$25b2o$24b2o16$17b3o44b 3o$19bo44bo$18bo9b3o34bo$30bo5b2o$29bo7b2o$36bo4$6b2o68b2o$5bobo68bobo $7bo68bo5$bo80bo$b2o78b2o$obo78bobo! #C [[ GRID THEME BOOK ]]
Exercise 5.8(b): Glider pusher

A period 30 pattern that pushes a glider one half of a diagonal space away from it.

RLE code: Select all
x = 45, y = 38, rule = B3/S23 6bo$7bo$5b3o$29b2o$29b2o$bo$2bo27bo$3o26bobo$14bo14bobo$12bobo15bo$13b 2o2$27b2obob2o$9bo17bo5bo$7bobo18bo3bo$8b2o11bo7b3o$22bo$20b3o3$16bo 20bo4bo$17bo17b2ob4ob2o$15b3o19bo4bo$26bobo$27b2o$27bo3$24bo$22bobo$ 23b2o9bo$35b2o$34b2o3$31bo$32bo$30b3o! #C [[ GRID THEME BOOK ]]
Exercise 5.22: rich p16 16
RLE code: Select all
x = 11, y = 7, rule = B3/S23 8bobo$9b2o$bo7bo$2bo$3o5b3o$10bo$9bo! #C [[ GRID THEME BOOK ]]
Exercise 5.29: boatstretcher synth

A 19-glider synthesis of a boatstretcher.

RLE code: Select all
x = 110, y = 88, rule = B3/S23 92bobo$92b2o$93bo13bo$107bobo$107b2o2$17bobo$11bo6b2o$12b2o4bo$11b2o$ 98bobo$90bo7b2o$89bo9bo$89b3o2$51bobo$52b2o$52bo50bo$103bobo$103b2o3$ 76bo6bo17bo$77bo3b2o17bo$75b3o4b2o16b3o8$77b3o$71bobo5bo$72b2o4bo$72bo 3$74b2o$73bobo$75bo14$46bo$46b2o$45bobo5$98bo$97b2o$97bobo4$57bo$57b2o $56bobo9$16bo$16b2o$15bobo5$b2o$obo$2bo! #C [[ GRID THEME BOOK ]]
Exercise 5.30: boat append barberpole

A 7-glider reaction that appends a barberpole to the end of a stretched tub or boat.

RLE code: Select all
x = 36, y = 39, rule = B3/S23 2o$obo$bobo$2bobo$3bobo$4bobo24bo$5bobo22bo$6bobo21b3o$7bobo$8bobo$9bo 4$7b3o$9bo3b2o$8bo4bobo$13bo5$26bo$25b2o$4b2o19bobo$5b2o$4bo8$26b3o$ 26bo$27bo5b2o$33bobo$33bo! #C [[ GRID THEME BOOK ]]
Exercise 5.32(b): two time turner

A two-time glider turner.

RLE code: Select all
x = 12, y = 8, rule = B3/S23 9bo$10bo$8b3o2$2o$2o8b2o$6b2o2b2o$6b2o! #C [[ GRID THEME BOOK ]]
Exercise 5.35(a): clock inserter use b
RLE code: Select all
x = 9, y = 9, rule = B3/S23 8bo$2bo3bobo$3b2o2b2o$2b2o2$5bobo$2bo3b2o$obo3bo$b2o! #C [[ GRID THEME BOOK ]]
Exercise 5.35(b): clock inserter use d
RLE code: Select all
x = 9, y = 15, rule = B3/S23 6bobo$7b2o$3bo3bo$bobo$2b2o2$5bobo$2bo3b2o$obo3bo$b2o3$4bobo$5b2o$5bo! #C [[ GRID THEME BOOK ]]
Exercise 5.35(c): clock inserter use c
RLE code: Select all
x = 11, y = 13, rule = B3/S23 8bo$9b2o$8b2o3$8bo$9b2o$8b2o2$obo$b2o3bo$bo5bo$5b3o! #C [[ GRID THEME BOOK ]]
Exercise 5.40: blockic splitter

A blockic splitter that turns one glider into four.

RLE code: Select all
x = 29, y = 29, rule = B3/S23 16b2o$16b2o4$15b2o$15b2o5$2o$2o3b2o7bo$5b2o8bo$13b3o$22b2o$22b2o3b2o$ 13b2o12b2o$13b2o4$12b2o$12b2o4$11b2o$11b2o! #C [[ GRID THEME BOOK ]]
Solution 5.2(a): block destroy
RLE code: Select all
x = 5, y = 7, rule = B3/S23 bo$2bo$3o3$3b2o$3b2o! #C [[ GRID THEME BOOK ]]
Solution 5.2(b): beehive destroy
RLE code: Select all
x = 8, y = 7, rule = B3/S23 bo$2bo$3o2$5b2o$4bo2bo$5b2o! #C [[ GRID THEME BOOK ]]
Solution 5.2(c): blinker destroy
RLE code: Select all
x = 7, y = 5, rule = B3/S23 bo$2bo$3o2$4b3o! #C [[ GRID THEME BOOK ]]
Solution 5.2(d): ship destroy
RLE code: Select all
x = 7, y = 7, rule = B3/S23 bo$2bo$3o2$5b2o$4bobo$4b2o! #C [[ GRID THEME BOOK ]]
Solution 5.2(e): lwss destroy
RLE code: Select all
x = 10, y = 7, rule = B3/S23 bo$2bo$3o$6bo2bo$5bo$5bo3bo$5b4o! #C [[ GRID THEME BOOK ]]
Solution 5.4: block glider

All 6 possible ways for a glider to hit a block. From left to right, these produce nothing, nothing, nothing, a pi-heptomino, a honeyfarm, and a shifted block.

RLE code: Select all
x = 108, y = 7, rule = B3/S23 bo20bo20bo20bo20bo20bo$2bo20bo20bo20bo20bo20bo$3o18b3o18b3o18b3o18b3o 18b3o3$4b2o18b2o18b2o18b2o18b2o18b2o$4b2o18b2o18b2o18b2o18b2o18b2o! #C [[ GRID THEME BOOK ]]
Solution 5.5: twit eater

A 7-glider synthesis of eater 5.

RLE code: Select all
x = 34, y = 24, rule = B3/S23 28bo$28bobo$28b2o2$3bobo15bo$4b2o13b2o$4bo15b2o5$12bo$10b2o$11b2o3$9b 3o$11bo$10bo3$3o28b2o$2bo28bobo$bo29bo! #C [[ GRID THEME BOOK ]]
Solution 5.13(a): switch engine two directions

A glider synthesis of a switch engine that uses gliders from just two directions.

RLE code: Select all
x = 23, y = 17, rule = B3/S23 2bo$2o$b2o2b2o10bobo$5bobo9b2o$5bo12bo10$21b2o$20b2o$22bo! #C [[ GRID THEME BOOK ]]
Solution 5.13(b): clock two directions

A glider synthesis of a clock that uses gliders from just two directions.

RLE code: Select all
x = 41, y = 23, rule = B3/S23 5bo33bo$3bobo32bo$4b2o32b3o6$21bo$20bo$20b3o3$obo$b2o$bo$21bo$19bobo$ 20b2o2$34bo$32b2o$33b2o! #C [[ GRID THEME BOOK ]]
Solution 5.13(c): cordership two directions

A glider synthesis of a 3-engine Cordership that uses gliders from just two directions.

RLE code: Select all
x = 113, y = 104, rule = B3/S23 53bo$53b2o$52bobo3$54b3o12b2o$54bo14bobo$55bo13bo$88bo$60bo26b2o$60b2o 25bobo$59bobo2$77b3o$79bo30b3o$48b2o28bo31bo$47bobo61bo$49bo$102b2o$ 103b2o$102bo23$86b2o$85b2o$87bo$48bo$48b2o$2o45bobo$b2o$o108b2o$109bob o$109bo2$70b3o$72bo$71bo45$38bo$38b2o$37bobo! #C [[ GRID THEME BOOK ]]
Solution 5.14(a): 2 engine cordership synthesis

A 9-glider synthesis of a 2-engine Cordership.

RLE code: Select all
x = 84, y = 87, rule = B3/S23 81bobo$81b2o$82bo23$o$b2o68bo$2o67b2o$70b2o16$34bobo$35b2o$35bo$62bo$ 60b2o$61b2o14$28bo$29b2o$28b2o2$41bobo$41b2o$42bo9$63b3o$63bo$64bo4$ 44b2o$44bobo$44bo! #C [[ GRID THEME BOOK ]]
Solution 5.14(b): 2 engine cordership synthesis 2dir

An 11-glider 2-direction synthesis of a 2-engine Cordership.

RLE code: Select all
x = 84, y = 88, rule = B3/S23 81bobo$81b2o$82bo23$o$b2o68bo$2o67b2o$70b2o16$34bobo$35b2o$35bo$62bo$ 60b2o$61b2o12$49bo$50bo$28bo19b3o$29b2o$28b2o$62bobo$41bobo18b2o$41b2o 20bo$42bo12$43bo$41bobo$42b2o2$44bo$42b2o$43b2o! #C [[ GRID THEME BOOK ]]
Solution 5.15(a): switch engine opposite directions

A glider synthesis of a switch engine that uses gliders from opposite directions.

RLE code: Select all
x = 23, y = 18, rule = B3/S23 2bo$obo$b2o3$13b2o$10bo2bobo$8bobo2bo$9b2o7b3o$18bo$19bo5$21b2o$20b2o$ 22bo! #C [[ GRID THEME BOOK ]]
Solution 5.15(b): clock opposite directions

A glider synthesis of a clock that uses gliders from opposite directions.

RLE code: Select all
x = 30, y = 26, rule = B3/S23 13bo$12bo$12b3o14bo$6bo20b2o$5bo22b2o$5b3o4$6b2o$7b2o$6bo3$23bo$21b2o$ 22b2o4$22b3o$2o22bo$b2o20bo$o14b3o$17bo$16bo! #C [[ GRID THEME BOOK ]]
Solution 5.15(c): twin bees opposite directions

A glider synthesis of twin bees that uses gliders from opposite directions.

RLE code: Select all
x = 24, y = 22, rule = B3/S23 12bo$10b2o9bo$11b2o7bo$5bo14b3o$3b2o$4b2o4$4b2o$3bobo16bo$5bo14b2o$21b 2o4$21b3o$bo21bo$b2o19bo$obo11b3o$16bo$15bo! #C [[ GRID THEME BOOK ]]
Solution 5.17(a): space rake synth

Glider synthesis of the space rake.

RLE code: Select all
x = 128, y = 85, rule = B3/S23 54bo$54bobo$54b2o2$24bo$22bobo$23b2o8$4bobo$4b2o$5bo2$obo$b2o$bo$5b2o$ 4bobo$6bo12$27b2o$28b2o$27bo12$76bo$75b2o$75bobo$42b2o$32b2o9b2o44b2o$ 33b2o7bo46bobo$32bo56bo5$89b3o$89bo$32bo57bo$32b2o$31bobo10$40bo$40b2o $39bobo$119b2o$118b2o$120bo4b2o$125bobo$125bo$32b2o$33b2o$32bo! #C [[ GRID THEME BOOK ]]
Solution 5.17(b): p60 space rake synth

Glider synthesis of a period 60 space rake.

RLE code: Select all
x = 207, y = 110, rule = B3/S23 49bo$47bobo$48b2o$65bobo$65b2o$66bo2$58bo$57bo$51bo5b3o$51bobo$46b2o3b 2o$45bo2bo11b2o$46bobo11bobo$47bo12bo2$56b2o$4bo6bo44b2o$5bo3b2o$3b3o 4b2o2$66bo$3o62b2o$2bo62bobo$bo46b2o$47bobo83bo$49bo83bobo$133b2o2$ 103bo$101bobo$102b2o8$83bobo$83b2o$84bo2$79bobo$80b2o$80bo$84b2o$83bob o$85bo11$139b2o$106b2o31b2o$107b2o$106bo16$111b2o55b2o$112b2o54bobo$ 111bo56bo5$168b3o$168bo$111bo57bo$111b2o$110bobo10$119bo$119b2o$118bob o$198b2o$197b2o$199bo4b2o$204bobo$204bo$111b2o$112b2o$111bo! #C [[ GRID THEME BOOK ]]
Solution 5.19: back space rake synth

A sequential synthesis of a backward space rake.

RLE code: Select all
x = 23, y = 30, rule = B3/S23 5bo2bo$9bo6b2o$5bo3bo4b2ob2o$6b4o4b4o$15b2o3$14bo$14b2o$15b2o$14b2o5$ 16b2o$14b2ob2o$14b4o$15b2o2$8b2o$9b2o$8bo6bo$14b2o$14bobo$20b3o$20bo$b o19bo$b2o$obo! #C [[ GRID THEME BOOK ]]
Solution 5.29(a): crab synth

A 14-glider synthesis of a crab.

RLE code: Select all
x = 65, y = 68, rule = B3/S23 62bo$62bobo$62b2o6$53bobo$45bo7b2o$44bo9bo$44b3o2$6bobo$7b2o$7bo50bo$ 58bobo$58b2o3$31bo6bo17bo$32bo3b2o17bo$30b3o4b2o16b3o8$32b3o$26bobo5bo $27b2o4bo$27bo3$29b2o$28bobo$30bo14$bo$b2o$obo5$53bo$52b2o$52bobo4$12b o$12b2o$11bobo! #C [[ GRID THEME BOOK ]]
Solution 5.29(b): large still life synth

A 20-glider synthesis of a 209-cell strict still life.

RLE code: Select all
x = 319, y = 313, rule = B3/S23 301bobo$301b2o$302bo13bo$316bobo$316b2o2$226bobo$220bo6b2o$221b2o4bo$ 220b2o$307bobo$299bo7b2o$298bo9bo$298b3o2$260bobo$261b2o$261bo50bo$ 312bobo$312b2o3$285bo6bo17bo$286bo3b2o17bo$284b3o4b2o16b3o8$286b3o$ 280bobo5bo$281b2o4bo$281bo3$283b2o$282bobo$284bo14$255bo$255b2o$254bob o5$307bo$306b2o$306bobo4$266bo$266b2o$265bobo9$225bo$225b2o$224bobo5$ 210b2o$209bobo$211bo223$b2o$obo$2bo! #C [[ GRID THEME BOOK ]]
Solution 5.31(a): boat one time

A boat being used as a one-time turner.

RLE code: Select all
x = 14, y = 17, rule = B3/S23 $2bo$3bo$b3o6$8b2o$7bobo$8bo! #C [[ GRID THEME BOOK ]]
Solution 5.31(b): eater1 one time

An eater 1 acting as a one-time turner.

RLE code: Select all
x = 6, y = 9, rule = B3/S23 4bo$5bo$3b3o3$2b2o$bobo$bo$2o! #C [[ GRID THEME BOOK ]]
Solution 5.31(c): longboat one time

A long boat being used as a one-time turner (90 degrees and 180).

RLE code: Select all
x = 29, y = 9, rule = B3/S23 bo19bo$2bo19bo4b2o$3o17b3o3bobo$25bobo$26bo$bo$obo$bobo$2b2o! #C [[ GRID THEME BOOK ]]
Solution 5.31(d): one time blinker
RLE code: Select all
x = 8, y = 6, rule = B3/S23 obo$b2o$bo3$b3ob3o! #C [[ GRID THEME BOOK ]]
Solution 5.32(a): one time square

A one-time square track for a glider.

RLE code: Select all
x = 22, y = 21, rule = B3/S23 8bo$7bobo$7b2o2$2bo$obo16b2o$b2o16bobo$20bo7$bo$obo$b2o2$14b2o$13bobo$ 14bo! #C [[ GRID THEME BOOK ]]
Solution 5.32(c): two time square

A two-time square track for a glider.

RLE code: Select all
x = 50, y = 45, rule = B3/S23 36b2o$32b2o2b2o$32b2o8b2o$42b2o13$5b2o$5b2o$bo$2bo$3o$9b2o$9b2o6$47b2o $47b2o$2o$2o$48b2o$48b2o2$4b2o$4b2o2$46b2o$46b2o2$11b2o$11b2o8b2o$17b 2o2b2o$17b2o! #C [[ GRID THEME BOOK ]]
Solution 5.33(a): one time blinker track
RLE code: Select all
x = 33, y = 31, rule = B3/S23 28b5o$27bo4bo$32bo$27bo3bo$29bo$28b3o$27b5o$26bob2ob2o$b3ob3ob3ob3ob3o b3o2b2o2b2o4$2o$b2o13b5o4b6o$o14bo4bo3bo5bo$20bo9bo$15bo3bo4bo4bo$17bo 8b2o$16b3o$15b5o$14bob2ob2o$5b3ob3o2b2o2b2o5$13b6o$12bo5bo$18bo$12bo4b o$14b2o! #C [[ GRID THEME BOOK ]]
Solution 5.33(b): one time boat track
RLE code: Select all
x = 196, y = 88, rule = B3/S23 77b4o$76bo3bo12bo2bo$80bo16bo$76bo2bo13bo3bo$94b4o$71bo$72bo$70b3o$87b o4b2o91b2o5b4o$84b4o3b2ob2o87b2ob2o3bo3bo$66bo16b5o4bo2bo87b4o8bo$67bo 14bo9bo2bo88b2o5bo2bo$65b3o15b2o8b2o$84bo94b2o9bo$54b2o121b5o8b3o$51b 3ob2o4bo24b2o5bo2bo80b2o4bo5bo3bo$51b5o6bo22b4o8bo79b2o5b5o4bo$52b3o5b 3o22b2ob2o3bo3bo81b2o4b4obob2o$80b2o5b2o5b4o84b3ob2o3bo$78b2ob2o105bob o$66b3o5bo3b4o$63bo2b3o3b2obo3b2o87bo$63bobo6bo3bo89b2o24b4o$63bo2b3o 3b2obo3b2o86b2o22bo3bo$66b3o5bo3b4o92b4o17bo$51bo26b2ob2o90bo3bo13bo2b o$52bo27b2o71bo23bo$50b3o98b2o20bo2bo$152b2o11bo2bo$169bo$26bo121b2o 15bo3bo$25bobo120b3o4b2o9b4o$26b2o122bo3b2o5b3o$150b3o6b2ob2o$62b2o86b o3b2o5b3o$61b2o85b3o4b2o9b4o$63bo59bo23bo2b2o13bo3bo$121b2o24bo3bo17bo $122b2o24bo16bo2bo$148b3o$155b2o$153b2ob2o$153b4o$154b2o$2bo136b2o$obo 135b4o$b2o135b2ob2o$140b2o$133b3o$107b2o24bo16bo2bo$106b2o24bo3bo17bo$ 78bo29bo23bo2b2o13bo3bo$76b2o55b3o4b2o9b4o$77b2o56bo3b2o5b3o$135b3o6b 2ob2o$11b2o28b2o92bo3b2o5b3o$10bobo27bobo90b3o4b2o9b4o$11bo29bo91b2o 15bo3bo$154bo$137b2o11bo2bo$65b3o68b2o20bo2bo$67bo27b2o41bo23bo$66bo 26b2ob2o60bo3bo13bo2bo$81b3o5bo3b4o62b4o17bo$78bo2b3o3b2obo3b2o56b2o 22bo3bo$78bobo6bo3bo59b2o24b4o$78bo2b3o3b2obo3b2o57bo$81b3o5bo3b4o$93b 2ob2o75bobo$95b2o5b2o5b4o54b3ob2o3bo$67b3o5b3o22b2ob2o3bo3bo51b2o4b4ob ob2o$66b5o6bo22b4o8bo49b2o5b5o4bo$66b3ob2o4bo24b2o5bo2bo50b2o4bo5bo3bo $69b2o91b5o8b3o$99bo64b2o9bo$80b3o15b2o8b2o$82bo14bo9bo2bo58b2o5bo2bo$ 81bo16b5o4bo2bo57b4o8bo$99b4o3b2ob2o57b2ob2o3bo3bo$102bo4b2o61b2o5b4o$ 85b3o$87bo$86bo$109b4o$91bo2bo13bo3bo$95bo16bo$91bo3bo12bo2bo$92b4o! #C [[ GRID THEME BOOK ]]
Solution 5.34: Clock inserter (with a block)

A version of the clock inserter that uses a block instead of a second glider.

RLE code: Select all
x = 13, y = 6, rule = B3/S23 bo$2b2o$2o8bo$2bo7bobo$6b2o2b2o$6b2o! #C [[ GRID THEME BOOK ]]
Solution 5.35(a): clock inserter use b
RLE code: Select all
x = 19, y = 21, rule = B3/S23 8bo$2bo3bobo$3b2o2b2o$2b2o3$2bo$obo$b2o8bo$9bobo$10bobo3bobo$10bo5b2o$ 17bo6$14b2o$13bobo$15bo! #C [[ GRID THEME BOOK ]]
Solution 5.35(b): clock inserter use d
RLE code: Select all
x = 19, y = 22, rule = B3/S23 6bobo$7b2o$3bo3bo$bobo$2b2o3$2bo$obo$b2o8bo$9bobo$10bobo3bobo$4bobo3bo 5b2o$5b2o10bo$5bo5$14b2o$13bobo$15bo! #C [[ GRID THEME BOOK ]]
Solution 5.35(c): clock inserter use c
RLE code: Select all
x = 20, y = 16, rule = B3/S23 8bo$9b2o$8b2o5$10bo$11b2o$obo6b2o$b2o3bo4bo$bo5bo$5b3o5b2o$14b2o2bo$ 13bo3bo$17b3o! #C [[ GRID THEME BOOK ]]
Solution 5.36(a): tee 15 ticks
RLE code: Select all
x = 17, y = 16, rule = B3/S23 2bo$obo$b2o12bo$14bo$14b3o$8bo$7bo$7b3o6$6b2o$7b2o$6bo! #C [[ GRID THEME BOOK ]]
Solution 5.36(b): eater1 15 ticks
RLE code: Select all
x = 13, y = 14, rule = B3/S23 2bo$obo$b2o3$7b2o$8bo$8bobo$9b2o3$10b2o$11b2o$10bo! #C [[ GRID THEME BOOK ]]
Solution 5.36(c): clock 14 ticks
RLE code: Select all
x = 17, y = 20, rule = B3/S23 o$b2o$2o5$9bo$7bobo$8bobo3bobo$8bo5b2o$15bo6$12b2o$11bobo$13bo! #C [[ GRID THEME BOOK ]]
Solution 5.44(a): Boat pair to switch engine

A way of hitting a pair of boats with a glider so as to turn it into a switch engine.

RLE code: Select all
x = 8, y = 7, rule = B3/S23 bo4bo$obo2bobo$b2o3b2o2$3bo$3b2o$2bobo! #C [[ GRID THEME BOOK ]]
Solution 5.44(b): 5-glider synthesis of a switch engine

A way of using 4 gliders to synthesize a pair of boats, which are then turned into a switch engine by an additional glider.

RLE code: Select all
x = 15, y = 23, rule = B3/S23 2bo$3bo$b3o3$12bo$13bo$11b3o3$13b2o$12b2o$14bo3$13b2o$12b2o$14bo3$bo$b 2o$obo! #C [[ GRID THEME BOOK ]]
Solution 5.44(c): 2-engine Cordership seed

A seed that, when hit by two synchronized gliders, turns into a 2-engine Cordership.

RLE code: Select all
x = 36, y = 40, rule = B3/S23 14bo$15bo$13b3o2$24bo$8b2o13bobo$8b2o13b2o3$24bo$23bobo$23b2o2$2o$2o5$ 18b2o$18b2o2$29bo4bo$28bobo2bobo$28b2o3b2o3$31b3o$31bo$32bo2$21b2o$21b 2o6$33b2o$33b2o! #C [[ GRID THEME BOOK ]]
Solution 5.44(d): 2-engine Cordership synthesis

A glider synthesis of a 2-engine Cordership that works by first constructing a seed and then igniting it with 2 additional gliders.

RLE code: Select all
x = 55, y = 63, rule = B3/S23 $7bo$8bo$6b3o38bo$47bobo$47b2o8$42bo$42bobo$42b2o$18bo$17bo$17b3o5$12b 3o$4bo9bo$2bobo8bo$3b2o4$47bo$27bo18bo$26bo19b3o$26b3o$3o10bo4bo$2bo 10b2o3b2o17bo$bo10bobo2bobo3b3o10bo$25bo10b3o$24bo2$35b2o$36b2o$35bo3$ 35b2o10bo$36b2o8bo$35bo10b3o5$22b3o$24bo$23bo12b2o$36bobo$36bo15b3o$ 52bo$53bo2$33b3o$35bo$34bo! #C [[ GRID THEME BOOK ]]