OCA:Shoots and Roots

Shoots and Roots
x=64, y = 64, rule = B3/S245678 ! #C [[ THEME Inverse ]] #C [[ RANDOMIZE2 THUMBLAUNCH THUMBNAIL THUMBSIZE 2 GRID ZOOM 6 WIDTH 600 HEIGHT 600 LABEL 90 -20 2 "#G" AUTOSTART PAUSE 2 GPS 8 LOOP 256 ]] LifeViewer-generated pseudorandom soup
Rulestring	245678/3 B3/S245678
Rule integer	256008
Character	Explosive
Black/white reversal	B578/S01234678

Shoots and Roots is a Life-like cellular automaton in which cells are born if they have exactly 3 neighbours and survive from one generation to the next if they have 2, 4, 5, 6, 7 or 8 neighbours.

In this rule most soups include a certain wickstretcher in the explosive patterns. The rule is named after its interesting patterns of resembling plant-like structures from explosive patterns.

Patterns

Still lifes

The rule is conducive to still lifes, having few birth and many survival transitions.

x = 24, y = 24, rule = B3/S245678:T24,24 3bo5bo5bo5bo$b2ob2ob2ob2ob2ob2ob2ob2o$bobobobobobobobobobobobo$obobobo bobobobobobobobo$bobobobobobobobobobobobo$b2ob2ob2ob2ob2ob2ob2ob2o$3bo 5bo5bo5bo$b2ob2ob2ob2ob2ob2ob2ob2o$bobobobobobobobobobobobo$obobobobob obobobobobobo$bobobobobobobobobobobobo$b2ob2ob2ob2ob2ob2ob2ob2o$3bo5bo 5bo5bo$b2ob2ob2ob2ob2ob2ob2ob2o$bobobobobobobobobobobobo$obobobobobobo bobobobobo$bobobobobobobobobobobobo$b2ob2ob2ob2ob2ob2ob2ob2o$3bo5bo5bo 5bo$b2ob2ob2ob2ob2ob2ob2ob2o$bobobobobobobobobobobobo$obobobobobobobob obobobo$bobobobobobobobobobobobo$b2ob2ob2ob2ob2ob2ob2ob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]

A stable agar (click above to open LifeViewer)

x = 368, y = 368, rule = B3/S245678 bo$obo$bo8$11b2o$10bo2bo$10bo2bo$11b2o6$21bobo$21b3o$19b2obob2o$20b2ob 2o$19b2obob2o$21b3o$21bobo5$32bo2bo$32b4o$30b2obob3o$31b2obobo$31bobob 2o$30b3obob2o$32b4o$32bo2bo4$46bo$45bobo$43b7o$43bobobobo$42b3obob3o$ 41bobobobobobo$42b3obob3o$43bobobobo$43b7o$45bobo$46bo2$58bo$57bobobo$ 55b7o$55bobobob3o$54b3obobobo$53bobobobob3o$54b3obobobobo$55bobobob3o$ 54b3obobobo$56b7o$56bobobo$59bo$70bo3bo$69bobobobo$70bo3bo$69b7o$66bob obobobobobo$65bob3obobob3obo$66bobobobobobobo$68b2obobob2o$66bobobobob obobo$65bob3obobob3obo$66bobobobobobobo$69b7o$70bo3bo$69bobobobo$70bo 3bo2$89bo$88bobo$85bo3bo2bo$85b8o$83b2obobobob3o$84b2obobobobo$84bobob obob2obo$82bob2obobobob2obo$81bob2obobobob2obo$82bob2obobobobo$84bobob obob2o$83b3obobobob2o$85b8o$85bo2bo3bo$87bobo$88bo2$106bo$105bobo$102b o3bo3bo$102b9o$100b2obobobobob2o$101b2obobobob2o$101bobobobobobo$99bob 2obobobob2obo$98bob2obobobobob2obo$99bob2obobobob2obo$101bobobobobobo$ 101b2obobobob2o$100b2obobobobob2o$102b9o$102bo3bo3bo$105bobo16bo$106bo 16bobo$124bo$123b3o$119bo2bobobobo$119b10o$117b2obobobobob3o$118b2obob obobobo$118bobobobobob3o$117b3obobobobobobobo$114bobobobobobobob5obo$ 113bob5obobobobobobobo$114bobobobobobobob3o$117b3obobobobobo$118bobobo bobob2o$117b3obobobobob2o$119b10o$119bobobobo2bo$122b3o17bo$123bo17bob o$122bobo17bo$123bo17b3o$137bo2bobobo2bo$137b11o$135b2obobobobobob2o$ 136b2obobobobob2o$136bobobobobobobo$135b3obobobobob3o$132bobobobobobob obobobobo$131bob5obobobobob5obo$132bobobobobobobobobobobo$135b3obobobo bob3o$136bobobobobobobo$136b2obobobobob2o$135b2obobobobobob2o$137b11o$ 137bo2bobobo2bo$141b3o16bobo$142bo16bobobo$141bobo16bobo$142bo16b5o$ 156bobobobobo2bo$156b12o$154b2obobobobobob3o$155b2obobobobobobo$155bob obobobobob3o$154b3obobobobobobobobo$151bobobobobobobobob5obo$150bob5ob obobobobobobobo$151bobobobobobobobob5obo$150bob5obobobobobobobobo$151b obobobobobobobob3o$154b3obobobobobobo$155bobobobobobob2o$154b3obobobob obob2o$156b12o$156bo2bobobobobo$160b5o$161bobo$160bobobo$161bobo19bo3b o$182bobobobo$183bo3bo$182b7o$179bobobobobobobo$179b13o$177b2obobobobo bobob2o$178b2obobobobobob2o$177b2obobobobobobob2o$174bobob2obobobobobo b2obobo$173bob4obobobobobobob4obo$174bobob2obobobobobob2obobo$176b3obo bobobobobob3o$174bobob2obobobobobob2obobo$173bob4obobobobobobob4obo$ 174bobob2obobobobobob2obobo$177b2obobobobobobob2o$178b2obobobobobob2o$ 177b2obobobobobobob2o$179b13o$179bobobobobobobo$182b7o$183bo3bo$182bob obobo$183bo3bo19bo3bo$206bobobobo$207bo3bo$206b7o$203bobobobobobo2bo$ 203b14o$201b2obobobobobobob3o$202b2obobobobobobobo$202bobobobobobobob 3o$201b3obobobobobobobobobo$198bobobobobobobobobob5obo$197bob5obobobob obobobobobo$198bobobobobobobobobob4o$200b4obobobobobobobobobo$198bobob obobobobobobob5obo$197bob5obobobobobobobobobo$198bobobobobobobobobob3o $201b3obobobobobobobo$202bobobobobobobob2o$201b3obobobobobobob2o$203b 14o$203bo2bobobobobobo$207b7o$208bo3bo18bo$207bobobobo13bo2bobo2bo$ 208bo3bo11bobobo2bo2bobobo$224b15o$222b2obobobobobobobob2o$223b2obobob obobobob2o$222b2obobobobobobobob2o$221bob2obobobobobobob2obo$222b2obob obobobobobob2o$223b2obobobobobobob2o$221bobobobobobobobobobobo$220bob 3obobobobobobob3obo$221bobobobobobobobobobobo$223b2obobobobobobob2o$ 222b2obobobobobobobob2o$221bob2obobobobobobob2obo$222b2obobobobobobobo b2o$223b2obobobobobobob2o$222b2obobobobobobobob2o$224b15o$224bobobo2bo 2bobobo$227bo2bobo2bo$231bo16bo3bo3bo$245bobobobobobobo2bo$245b16o$ 243b2obobobobobobobob3o$244b2obobobobobobobobo$243b2obobobobobobobob2o $242bob2obobobobobobobob2o$243b2obobobobobobobob2obo$244b2obobobobobob obob2o$243b2obobobobobobobob2o$242bob2obobobobobobobob2o$243b2obobobob obobobob2obo$244b2obobobobobobobob2o$243b2obobobobobobobob2o$242bob2ob obobobobobobob2o$243b2obobobobobobobob2obo$244b2obobobobobobobob2o$ 244bobobobobobobobob2o$243b3obobobobobobobob2o$245b16o$245bobobobobobo bo2bo20bo$248bo3bo3bo23bobo$281bo$272bo3bo3b3o$269bobobobobobobobobo$ 269b17o$267b2obobobobobobobobob2o$268b2obobobobobobobob2o$267b2obobobo bobobobobob2o$264bobob2obobobobobobobob2obo$263bob4obobobobobobobobob 2o$264bobob2obobobobobobobob2o$267b2obobobobobobobobob2o$268b2obobobob obobobob2obo$267b2obobobobobobobobob2o$266bob2obobobobobobobob2o$267b 2obobobobobobobobob2o$268b2obobobobobobobob2obobo$267b2obobobobobobobo bob4obo$266bob2obobobobobobobob2obobo$267b2obobobobobobobobob2o$268b2o bobobobobobobob2o$267b2obobobobobobobobob2o$269b17o$269bobobobobobobob obo19bo$272b3o3bo3bo21bobo$273bo31bo$272bobo21bo3bo3b3o$273bo19bobobob obobobobo2bo$293b18o$291b2obobobobobobobobob3o$292b2obobobobobobobobob o$292bobobobobobobobobob3o$291b3obobobobobobobobobobo$288bobobobobobob obobobobob3o$287bob5obobobobobobobobobo$288bobobobobobobobobobobob3o$ 291b3obobobobobobobobobobo$292bobobobobobobobobob3o$291b3obobobobobobo bobobo$290bobobobobobobobobobob3o$291b3obobobobobobobobobobobo$292bobo bobobobobobobob5obo$291b3obobobobobobobobobobobo$290bobobobobobobobobo bob3o$291b3obobobobobobobobobo$292bobobobobobobobobob2o$291b3obobobobo bobobobob2o$293b18o$293bo2bobobobobobobobo$297b3o3bo3bo$298bo21bo3bo3b o3bo$297bobo17bobobobobobobobobobo$298bo18b19o$315b2obobobobobobobobob ob2o$316b2obobobobobobobobob2o$315b2obobobobobobobobobob2o$314bob2obob obobobobobobob2obo$315b2obobobobobobobobobob2o$316b2obobobobobobobobob 2o$315b2obobobobobobobobobob2o$314bob2obobobobobobobobob2obo$315b2obob obobobobobobobob2o$316b2obobobobobobobobob2o$315b2obobobobobobobobobob 2o$314bob2obobobobobobobobob2obo$315b2obobobobobobobobobob2o$316b2obob obobobobobobob2o$315b2obobobobobobobobobob2o$314bob2obobobobobobobobob 2obo$315b2obobobobobobobobobob2o$316b2obobobobobobobobob2o$315b2obobob obobobobobobob2o$317b19o$317bobobobobobobobobobo18bobo$320bo3bo3bo3bo 20bobobo$354bobo$345bo3bo3b5o$342bobobobobobobobobo2bo$342b20o$340b2ob obobobobobobobobob3o$341b2obobobobobobobobobobo$340b2obobobobobobobobo bob3o$337bobob2obobobobobobobobobobobo$336bob4obobobobobobobobobob3o$ 337bobob2obobobobobobobobobobo$336bob4obobobobobobobobobob3o$337bobob 2obobobobobobobobobobobo$340b2obobobobobobobobobob3o$341b2obobobobobob obobobobo$340b2obobobobobobobobobob3o$339bob2obobobobobobobobobobobobo $340b2obobobobobobobobobob5obo$341b2obobobobobobobobobobobobo$340b2obo bobobobobobobobob5obo$339bob2obobobobobobobobobobobobo$340b2obobobobob obobobobob3o$341b2obobobobobobobobobobo$341bobobobobobobobobobob2o$ 340b3obobobobobobobobobob2o$342b20o$342bo2bobobobobobobobobo$346b5o3bo 3bo$347bobo$346bobobo$347bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 1000 HEIGHT 1000 ZOOM 2.5 THUMBSIZE 2 ]]

Stabilization of chessboards from 1 × 1 to 20 × 20. (click above to open LifeViewer)

Oscillators

x = 7, y = 8, rule = B3/S245678 3b2o$2bo2bo$bo4bo$o2b2o$o2b2o$bo4bo$2bo2bo$3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]

A predecessor of a p2 oscillator in this rule. (click above to open LifeViewer)

x = 182, y = 505, rule = B3/S245678 12bob2obo$11bob4obo$12bob2obo$20bo$19bobo$20bo99b3o$19b3o42b2o53b5o$ 19b3o42bo35b2ob2o12b9o$20bo42b2o33b9o11b7o$19bobo41b3o15bo2bo2bo10bob 5obo11b7o$20bo10b2o18bo12b2o16b5o10b2ob2ob2ob2o8b11o$12bob2obo13b2o8b 4o5b3o11bo17b5o10b5ob5o9b9o$11bob4obo12b2o8b4o6bo12b2o15b7o10b4ob4o9b 11o$12bob2obo45b3o16b5o11bo2b3o2bo11b7o$9bo53b2o17b5o14b2o15b7o$8bobo 53bo16bo2bo2bo29b9o$9bo54b2o53b5o$8b3o109b3o$8b3o$9bo$8bobo$9bo$12bob 2obo$11bob4obo$12bob2obo6$12bob2obo$11bob4obo$12bob2obo$20bo$19bobo$ 20bo$19b3o29bo$19b3o13b2o14b3o$20bo15bo13b3o$19bobo11bo2b2o12b3o$20bo 11bobob4o9bob3o$12bob2obo14bobob4o11bo$11bob4obo14bo2b2o11bob3o$12bob 2obo18bo13b3o$20bo14b2o13b3o$19bobo29b3o$20bo30bo$19b3o$19b3o$20bo$19b obo$20bo$12bob2obo$11bob4obo$12bob2obo9$9bo10bo$8bobo8bobo$9bo10bo$8b 3o8b3o10b2o45bobo6bobo$8b3o8b3o8b6o43b3o6b3o$9bo10bo10b3o2bo41b2o4b2o 4b2o$8bobo8bobo9b3obo15bob2obo11b2o10b10o29bo$9bo10bo11b3o3bo12b6o11bo 11b10o11b2ob2o11b3o2b2o$12bob2obo13b2ob5o14bo13b3o9b4ob2ob4o8b9o10b7o$ 11bob4obo14b7o13bob2o8b5o9b5ob6o9b3ob3o11b7o$12bob2obo15b5o13b8o7b3o 11b4obob3o10bobo3bo10b7o$20bo12b7o12b9o6b3o9b5o2b5o26b7o$19bobo9b2ob5o 13b3ob4o7b3o9b4ob2ob4o27b7o$20bo11b3o3bo11b6o3bo8bo11b10o28b5o$19b3o9b 3obo15b3o2bo11b2o10b10o26b2o4bo$19b3o9b3o2bo14bo26b2o4b2o4b2o25b3o$20b o9b6o43b3o6b3o26bobo$19bobo10b2o45bobo6bobo$20bo9$12bob2obo$11bob4obo$ 12bob2obo$9bo27bobo6bobo$8bobo26b3o6b3o$9bo26b2o4b2o4b2o$8b3o27b10o$8b 3o27b10o$9bo27b12o$8bobo26b12o$9bo23b3ob11o$12bob2obo16b15o$11bob4obo 15b15o$12bob2obo15b15o$20bo14b14o$19bobo11b16o$20bo13b14o$19b3o12b15o$ 19b3o10b2o4b11o$20bo12b3o4b8o$19bobo11bobo4b9o$20bo18b10o$12bob2obo21b 9o$11bob4obo21b8o$12bob2obo22b4o4b2o$38b2o6b3o$39b3o4bobo$39bobo3$12bo b2obo$11bob4obo$12bob2obo$9bo$8bobo$9bo32b2o$8b3o31bo$8b3o30b2o$9bo26b o2b3ob2o8b2o4bo30bo3bo$8bobo26b5ob4o4b6o2bo12bo16b7o$9bo25bob5obo2bo4b o2b5ob2o10b3o15b5o$12bob2obo17b7ob2o9b9o8b3o14b9o$11bob4obo17b6o13b2ob 2ob4o6b3o15b7o$12bob2obo17b7ob2o9b10o8b3o13b9o$9bo10bo14bob5obo2bo7b7o b2o7b2obo15b5o$8bobo8bobo15b5ob4o8b4o3b3o6b2o16b7o$9bo10bo15bo2b3ob2o 10bo2bo3bo9bo17bo3bo$8b3o8b3o19b2o29b2o$8b3o8b3o20bo$9bo10bo21b2o$8bob o8bobo$9bo10bo$12bob2obo$11bob4obo$12bob2obo6$12bob2obo$11bob4obo18bob obobo$12bob2obo19b3ob3o$20bo15b2o5b2o$19bobo16b5o$20bo17b5o$19b3o14b8o $19b3o15b7o$20bo16b6o$19bobo14bob5o$20bo13b10o$37b7o$33bob8o$33b10o$ 20bo13b10o$19bobo11b11o$20bo12b10o$19b3o12b9o$19b3o12bo2b2o4b2o$20bo 20b3o$19bobo19bobo$20bo9$12bob2obo$11bob4obo$12bob2obo20b2o$9bo10bo18b o$8bobo8bobo14bo2b2o39bo89bobo$9bo10bo15b5o38bob2o40bob2obo39bob3obo$ 8b3o8b3o13b7o37b5obo37b6o38b9o$8b3o8b3o13b9o33b9o2bo32b9o2bo31b7ob7o$ 9bo10bo15b10o4bo27b11o29bo3b11o28bo2b6obob6o2bo$8bobo8bobo14b12o2b3o2b 2o2b2o16b14o2b2o2b2o17b3o2b14o2b2o2b2o19b3ob3ob3ob3ob3o$9bo10bo14b28ob o8bob26obo14b28obo15b6ob5ob6o$12bob2obo15b32o8b30o13b31o14b21o$11bob4o bo15b28o2b3o9b24o2b3o15b24o2b3o14b17o$12bob2obo15b29o3bo9b25o3bo15b25o 3bo15b2ob11ob2o$9bo10bo12b30o2b2o8b26o2b2o14b26o2b2o15b15o$8bobo8bobo 12b27o15b23o21b23o21b15o$9bo10bo13b27o14b24o20b24o20b2ob11ob2o$8b3o8b 3o13b17obob4o16b15o2b8o2bo16b15o2b8o2bo16b17o$8b3o8b3o13bo3b11o6bobo 17b13o3bo2b2o2b4o17b13o3bo2b2o2b4o14b21o$9bo10bo17b14o24b13o9b3o20b12o 9b3o17b6ob5ob6o$8bobo8bobo18b11o26b14o9bo19b15o9bo17b3ob3ob3ob3ob3o$9b o10bo19b12o24b14o31b13o27bo2b6obob6o2bo$12bob2obo23b3o2b3obo25b6o2b3o 2bo32b4o2b3o2bo30b7ob7o$11bob4obo22bo4bobo28b3o4bobo35b2o4bobo36b9o$ 12bob2obo59bobo42b2o44bob3obo$170bobo5$12bob2obo$11bob4obo$12bob2obo$ 9bo10bo$8bobo8bobo$9bo10bo$8b3o8b3o$8b3o8b3o$9bo10bo$8bobo8bobo$9bo10b o$12bob2obo$11bob4obo$12bob2obo$20bo$19bobo$20bo$19b3o$19b3o$20bo$19bo bo$20bo$12bob2obo$11bob4obo$12bob2obo6$12bob2obo$11bob4obo$12bob2obo$b o7bo10bo$obo5bobo8bobo$bo7bo10bo$3o5b3o8b3o$3o5b3o8b3o$bo7bo10bo$obo5b obo8bobo$bo7bo10bo4$bo7bo10bo$obo5bobo8bobo$bo7bo10bo$3o5b3o8b3o$3o5b 3o8b3o$bo7bo10bo$obo5bobo8bobo$bo7bo10bo$12bob2obo$11bob4obo$12bob2obo 9$bo18bo$obo16bobo$bo18bo$3o16b3o$3o16b3o$bo18bo$obo16bobo$bo18bo4$bo 18bo$obo16bobo$bo18bo$3o16b3o$3o16b3o$bo18bo$obo16bobo$bo18bo9$12bob2o bo$11bob4obo$12bob2obo20b3o2bo2bo$bo18bo15b5o2b4o$obo16bobo15b12o$bo 18bo16b3ob7o$3o16b3o13b13o$3o16b3o14b13o$bo18bo15b11o$obo16bobo13bobob 8o$bo18bo17b7ob3o$12bob2obo19b12o$11bob4obo18b4ob7o$12bob2obo19b3ob7o$ bo7bo32b3o2bo$obo5bobo30bo2bo$bo7bo$3o5b3o$3o5b3o$bo7bo$obo5bobo$bo7bo $12bob2obo$11bob4obo$12bob2obo6$12bob2obo$11bob4obo$12bob2obo$bo18bo$o bo16bobo$bo18bo$3o16b3o$3o16b3o$bo18bo$obo16bobo$bo18bo$12bob2obo$11bo b4obo$12bob2obo$bo18bo$obo16bobo$bo18bo$3o16b3o$3o16b3o$bo18bo$obo16bo bo$bo18bo$12bob2obo$11bob4obo$12bob2obo9$bo7bo10bo13bobo10bobo$obo5bob o8bobo12b3o10b3o$bo7bo10bo12b2o4b2o2b2o4b2o$3o5b3o8b3o13b14o$3o5b3o8b 3o13b14o$bo7bo10bo13b16o$obo5bobo8bobo12b16o$bo7bo10bo14b6ob2ob4o$12bo b2obo16b5o2bo3b5o$11bob4obo$12bob2obo16b5o2bo3b5o$bo18bo14b6ob2ob4o$ob o16bobo12b16o$bo18bo13b16o$3o16b3o13b14o$3o16b3o13b14o$bo18bo12b2o4b2o 2b2o4b2o$obo16bobo12b3o10b3o$bo18bo13bobo10bobo9$12bob2obo$11bob4obo$ 12bob2obo$bo7bo23bobo13bobo$obo5bobo22b3o13b3o$bo7bo22b2o4b2ob2o2b2o4b 2o$3o5b3o23b17o$3o5b3o23b17o$bo7bo23b19o$obo5bobo22b19o$bo7bo24b7o3b7o $12bob2obo15b6o7b6o$11bob4obo14b6o2b2o2b7o$12bob2obo16b8o2bob5o$bo18bo 12b19o$obo16bobo11b19o$bo18bo13b17o$3o16b3o12b17o$3o16b3o10b2o4b2o2b2o b2o4b2o$bo18bo12b3o13b3o$obo16bobo11bobo13bobo$bo18bo$12bob2obo$11bob 4obo$12bob2obo6$12bob2obo$11bob4obo$12bob2obo$bo7bo27bo$obo5bobo21b3ob 3ob3o$bo7bo22b11o$3o5b3o21b11o$3o5b3o22b9o$bo7bo21b13o$obo5bobo20b13o$ bo7bo20b15o$12bob2obo13b13o$11bob4obo12b13o$12bob2obo15b9o$bo7bo10bo 11b11o$obo5bobo8bobo10b11o$bo7bo10bo11b3ob3ob3o$3o5b3o8b3o15bo$3o5b3o 8b3o$bo7bo10bo$obo5bobo8bobo$bo7bo10bo$12bob2obo$11bob4obo$12bob2obo6$ 12bob2obo$11bob4obo$12bob2obo$bo18bo$obo16bobo$bo18bo$3o16b3o$3o16b3o$ bo18bo$obo16bobo$bo18bo4$bo18bo$obo16bobo$bo18bo$3o16b3o$3o16b3o$bo18b o$obo16bobo$bo18bo9$12bob2obo$11bob4obo$12bob2obo$bo7bo10bo$obo5bobo8b obo$bo7bo10bo14bo$3o5b3o8b3o13b3obo$3o5b3o8b3o11b6o3bo$bo7bo10bo13b8o$ obo5bobo8bobo9bo2b4ob3o$bo7bo10bo10b3o2b7o$12bob2obo15b10o$11bob4obo 14bob2ob2o2bob2o$12bob2obo26bo$bo7bo10bo23b2o$obo5bobo8bobo$bo7bo10bo$ 3o5b3o8b3o$3o5b3o8b3o$bo7bo10bo$obo5bobo8bobo$bo7bo10bo$12bob2obo$11bo b4obo$12bob2obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 560 HEIGHT 1400 ZOOM 2.5 THUMBSIZE 2 ]]

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User c0b0p0 found that oscillators of arbitrarily large period can be constructed with the period-4 replicating parasites:

x = 88, y = 8, rule = B3/S245678 2bobo77bo2bo$2b3o77b5o$6ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o b2ob2ob2ob2ob2ob2ob2ob2ob2ob7o$b87o$87o$2b5ob2ob2ob2ob2ob2ob2ob2ob2ob 2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2obob6o$b5o77b3o$2bo2bo77b obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 WIDTH 1800 HEIGHT 300 ]]

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Spaceships

Spaceships are known of speeds c/2, c/3 (and 2c/6 thereof), c/4, c/5, c/4d and c/5d.

x = 128, y = 55, rule = B3/S245678 3b4o6b4o7b6o11b5o8b4o5b3o3b3o5b4obo2bob4o5bo$4b2o4bo4b3o5b3o2b3o11b3o8b2ob3o3b3ob3ob3o3b3obo2b2o2bob3o4b2o$4b2o2b4obob2o7b2o2b2o12b3o6bobo2b2o5b2o2bo2b2o5b2o2bob2obo2b2o5bobo$5b2o2b2o4b3o6bo4bo12b3o6bobo8b3o5b3o4bobobob2obobobo8bo$3bo5b2o2b2obo7bo4bo10bo5bo3bo12bo7bo3bo2b3o2b2o2b3o2bo3bo2b2o$b3o4b5obo5b4o6b4o6b2o3b2o5bo11bob3obo4b2obo4b2o4bob2o2bo2b2obo$3o18b2o8b2o7bo2bo2bo3bo2bo9b2o2bo2b2o4bobo4b2o4bobo3bob2o3bo$b2o5bobo9b2ob2o4b2ob2o6b3ob3o5bob2o6bo2bo3bo2bo4bobo3b2o3bobo5bob2o2b2o$o8bo14bo4bo12b3o5bo3bob3o37bobo$18b2o4bo4bo4b2o6bobo6b2o2bob3o3bob2ob2obo22b2obo4bo$17b2o16b2o4bobobo5b2o4b2o4b2obobob2o20b4obo$16b2o2b2o10b2o2b2o3b2ob2o16bo3bobo3bo15b2o$19b4o8b4o6bobobo16bobobobobobo15b2obo$20b2o10b2o8b3o8b4o9bobo17b2o4bo11b4obo$20b2o10b2o20b2o9bo3bo14b4o2b2o7b2ob2obob2obo$22bo8bo22b2o9bo3bo14b4obo2bo7b3o2bo2b4o$20b2ob2o4b2ob2o18bo4bo7bo3bo11b2o2bo5bo6bo2bobo7bo$20b2o10b2o31bo3bo11bobo5b3o5bo2bo9b2o$20b3obo4bob3o17bob4obo4b3obob3o8b2o3bob4o6bobo10bo$23b3o2b3o21bob2obo6bob3obo8bo6bob3o8bo11b2o$20b2o10b2o29b2ob3ob2o5bo10bo7b2o3bo8bobo$20b2o10b2o31bo3bo8b2o6bobo5bo2b2o2bobo7bo$20bo12bo31bobobo15bo2bo4bo3bobo2b2o$20b2o10b2o31b2ob2o9b2o3bo12bobob2obo3b3o6b3o$20bobo8bobo44bobo3b3o4b3obo3bobobo2b3obo5bo2b2o$19b2o2b2o4b2o2b2o45bo2bo8bo3b3o7b2ob2o6bobobo$19b2obobo4bobob2o47bo14bob3o4b2obo6b2o4bo$18b3o12b3o54b2obo6b2ob2o3bo9bobobo$20bo4b4o4bo55bo2bo5bo6b2o9b2o5b2o$19bo2bo8bo2bo52bo3bo10b2ob2o11bob2o3bo$19bobo10bobo51bobobo10b2o13b2o3bobo2bo$17b2o4bo6bo4b2o51bobo10bo9bobobo9b3o$19bob3o6b3obo52bo10b2obo8b2o3bo5bobo3bo$24bo4bo54b5o7bobo2bo6bo3bo7bobob2obo$84b2o2bo8b2o10bobo8bobobobo$83b2o2bo5b3obobo5b2o2b2o7b2o$82b2obo9bo10b2o$80b3obo6bo2bobo6bob3o11bo$83bo6b2obobo8b2o11bo$79bob2o6bobo10b3obo9bob2o$79bo8bob3o9b2obo9bo2bo$80bo8b2o9b3obo10b2o$87b3o9bobobo13bo$87b2o10b2o12b2o$84b3obo7b3ob2o9bob3o$84b2o13bo10bob2obo$97b3o9bob2o$108bob2obo$109b3o$106bob2o$106b2obo$104b2ob2o$104bobo$104bobo$106bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 WIDTH 1225 HEIGHT 560 ZOOM 9 ]]

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Despite containing both S4w and S5a, a c/3 diagonal is not known, and any that exist must have logical width exceeding 25 half-diagonals.

Infinite growth

Below is an example of a "shoot", a fast wickstretcher that appears frequently in soups.

x = 7, y = 8, rule = B3/S245678 3b2o$b2o2b2o$bo4bo$o2b2o$o2b2o$bo4bo$b2o2b2o$3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]

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When "shoots" appear in soups, they can lead to an explosive growth, below is an example.

x = 6, y = 7, rule = B3/S245678 2b2o$2o2b2o2$2b2o$2b2o$o4bo$bo2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]

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In addition to this, when a "shoot" has a "parasite" on it, they can cause a "root" to appear.

x = 11, y = 11, rule = B3/S245678 4o3b3o$o3b3o3bo$o4bo4bo$2b2o3b2o$2bobobobo$4bobo$2bobobobo$2b2o3b2o$o 4bo4bo$o3b3o3bo$b3o3b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]

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External links

• B3/S245678 (discussion thread) at the ConwayLife.com forums
• Shoots and Roots (B3/S245678) (discussion thread) at the ConwayLife.com forums
• Shoots and Roots at Adam P. Goucher's Catagolue