Branching spaceship

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A branching spaceship is any extensible spaceship containing components that can be attached in multiple ways so that the result can contain arbitrarily many arms arranged like a binary tree. Here is an example of a period 2 c/2 branching spaceship, which also includes a wicktrailer.

x = 62, y = 52, rule = B3/S23 21bo17bo$20b3o15b3o$18b2ob3o13b3ob2o$19bo2bob2o4bo4b2obo2bo$16b2obo4bo bob2ob2obobo4bob2o$16b2obobo2bobo7bobo2bobob2o$16bo8b3obobob3o8bo4b3o$ 15b2o7b2o9b2o7b2o2bo3bo$15bo31bo4b2o$8b3o4b4o25b4o2b2obo$7bo3bo2b2o2b 2o26bobo4b2o$6b2o4bo6bo4b3o25bo$6bob2o2b4o3b2o2bo3bo26b3o$5b2o4bobo8bo 4b2o27b2o$7bo11b4o2b2obo28bo$3b3o15bobo4b2o27b2o$2b2o23bo$2bo26b3o$b2o 28b2o$bo30bo4b3o$b4o27b2o2bo3bo$2o2b2o29bo4b2o$5bo4b3o19b4o2b2obo$5b2o 2bo3bo20bobo4b2o$8bo4b2o25bo$5b4o2b2obo27b3o$7bobo4b2o28b2o$13bo31bo$ 15b3o27b2o$17b2o27bo$18bo24b4o4b3o$18b2o22b2o2b2o2bo3bo$19bo15b3o4bo6b o4b2o$16b4o14bo3bo2b2o3b4o2b2obo$15b2o2b2o12b2o4bo8bobo4b2o$15bo17bob 2o2b4o11bo$14b2o16b2o4bobo15b3o$14bo19bo23b2o$14b4o12b3o26bo$13b2o2b2o 10b2o28b2o$18bo10bo30bo$18b2o8b2o27b4o$19bo8bo27b2o2b2o$16b4o8b4o24bo$ 15b2o2b2o6b2o2b2o22b2o$15bo16bo22bo$14b2o16b2o21b4o$14bo39b2o2b2o$14b 4o41bo$13b2o2b2o40b2o$18bo$18b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBNAIL THUMBSIZE 2 HEIGHT 480 Y -70 THEME 6 GPS 20 ZOOM 6 AUTOSTART LOOP 280 ]]
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Branching spaceships have also been constructed for other speeds, such as c/3 orthogonal or even (2,1)c/6 knightwise.

x = 269, y = 490, rule = B3/S23 168bo$167b4o$166bo2b2o$170bo$166bo5bo3bo$165b4o4b3obo$165bo3bo4bo$164b ob3o5bo2b2o$167bo6b5o$163b4obo2b2o2bobo$165b2o2bo5b4o$165b2o3bo3bo3bo$ 174b5o$172b3o3bo2bo$176b3obobo$174bo$173b3obo4bo$173bo4b3o$174b2o3b2ob o$174bo4b4o$175bobo2bo$174b3obo3bo$153b2o20b2o5b2o$152b2o21b3o3b2obo$ 154b2obo17b3o3b2o2bo$152bo3b3ob2o13bo2bo3bob2o$151b6ob2o2bo13bo$150b2o b2o4bo16bo3bo$150bo4bo6bobo14b2o$150b5o4b3o2bo9b3ob3o$150b3obo4b2o13b 2obo$155b2o2bobo12b2o3bo3bo$151bo3b2o3b2o14b4obob2obo$156bo3bo2bobo10b o3b2ob5o$159b3o2b3o17bo$138b2o19b2obo20b2ob2o$137b2o22bob3ob2o15b3o$ 139b2obo16bo2bo24bo$137bo3b3ob2o11b2obo2bobo16bo4b2o$136b6ob2o2bo10b2o 2b3o18bo5b3o$135b2ob2o4bo14bo2bo2bobo15bo5b3o$135bo4bo6bobo9b2obob2o2b 2o14b3o$135b5o4b3o2bo11bob3o16b5o$135b3obo4b2o21b3o12bo5bob2o$140b2o2b obo21b2o11bob2ob4ob2o$136bo3b2o3b2o42bo$141bo3bo2bobo9b2o6bo2bo12bo2bo 2b2o$144b3o2b3o8b2obo4b4o13b2o$123b2o19b2obo13b2o3b5o14b3o$122b2o22bob 3ob2o7bo3b2o16bo$124b2obo16bo2bo13b2o4bo15b5o$122bo3b3ob2o11b2obo2bobo 9bo4b2o14bo$121b6ob2o2bo10b2o2b3o9b5o2bo2bo12b2ob2o$120b2ob2o4bo14bo2b o2bobo9bo5b2o11bo4b2o$120bo4bo6bobo9b2obob2o2b2o6b2o6bob3o7bobo$120b5o 4b3o2bo11bob3o11bo4b2o3b2o6b2o$120b3obo4b2o21b3o10b4o11b2ob3ob2o$125b 2o2bobo21b2o13b3o9b2o4bo3bo$121bo3b2o3b2o37bo4bo6b2o5bo2bo$126bo3bo2bo bo9b2o6bo2bo12b7o11bo$129b3o2b3o8b2obo4b4o15bob2o12b2o2bo$108b2o19b2ob o13b2o3b5o12b3o3b2o11b5o$107b2o22bob3ob2o7bo3b2o19bo5bo7bo$109b2obo16b o2bo13b2o4bo15b2ob3o2bo$107bo3b3ob2o11b2obo2bobo9bo4b2o14b2o3b2ob2o8b 2o$106b6ob2o2bo10b2o2b3o9b5o2bo2bo12bobo2bobobobo5b2o5b3o$105b2ob2o4bo 14bo2bo2bobo9bo5b2o13b2ob5o3bo4b2ob3o2b2o$105bo4bo6bobo9b2obob2o2b2o6b 2o6bob3o9b2o3bo2bobo7bobo$105b5o4b3o2bo11bob3o11bo4b2o3b2o10bo2bo17bob 2o$105b3obo4b2o21b3o10b4o16bo15bo3bob2o$110b2o2bobo21b2o13b3o13b3o14bo 3bobo$106bo3b2o3b2o37bo4bo8bo17bo5bo$111bo3bo2bobo9b2o6bo2bo12b7o7bob 3o13bo3bob2o$114b3o2b3o8b2obo4b4o15bob2o12bo13bo$93b2o19b2obo13b2o3b5o 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102b4obob2obo$10b2obo4b4o15bob2o12bo11bo7bo10bo102bo3b2ob5o$11b2o3b5o 12b3o3b2o6bo6bo10bo4b3obo9bo110bo$11bo3b2o19bo5bo3b2obo3bo12bo3bobo 102b5o14b2ob2o$11b2o4bo15b2ob3o2bo7bob2o13b2o4bobo79b2o19b4o16b3o$11bo 4b2o14b2o3b2ob2o8b3o14b2obob2o79b2o20bob2o19bo$9b5o2bo2bo12bobo2bobobo b2o8b2o13bob5o80b2obo15bo2bo16bo4b2o$12bo5b2o13b2ob5o5b4o4bo11bob2o2bo 80bo3b3ob2o10bo5bo14bo5b3o$11b2o6bob3o9b2o3bo2bobo3b5obobo13bo82b6ob2o 2bo10bo4b2o13bo5b3o$12bo4b2o3b2o10bo2bo9bo6bo11bo4bo2bo76b2ob2o4bo14bo b2ob2o13b3o$15b4o16bo18bo2bo9bo3b2o78bo4bo6bobo14b2o11b5o$18b3o13b3o 17bo2bo13bo79b5o4b3o2bo13b2o12bo5bob2o$19bo4bo8bo18b6o11b2o80b3obo4b2o 16b2o12bob2ob4ob2o$19b7o7bob3o12bob2obo12b2o86b2o2bobo15bo21bo$22bob2o 12bo11bo7bo10bo82bo3b2o3b2o32bo2bo2b2o$18b3o3b2o6bo6bo10bo4b3obo9bo87b o3bo2bobo13bo15b2o$21bo5bo3b2obo3bo12bo3bobo102b3o2b3o11bobo14b3o$18b 2ob3o2bo7bob2o13b2o4bobo100b2obo14b2ob2o11bo$17b2o3b2ob2o8b3o14b2obob 2o103bob3ob2o8b2obo12b5o$17bobo2bobobob2o8b2o13bob5o100bo2bo14b2obo11b 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5b2o14bo4bo$21bob2o2bo140b2o3b2ob2o4b2o15bob2ob2o$24bo143bobo2bobobob 2o3bo2bo17b2o$21bo4bo2bo139b2ob5o8bo17b2obobo$22bo3b2o141b2o3bo2bobo 24b2o3bo$26bo143bo2bo30bo3b2o$24b2o84bo60bo36bo$23b2o84b3o58b3o33bo3bo $24bo83b2o2b2o55bo36bo3bo$24bo84bob3o55bob3o36b2o$108b3ob3o2b2o55bo32b 2o2b3o$107bo6bobob2o48bo6bo31bo2bobo$106b2o4b5o50b2obo3bo32bo$106b2o3b 3o2bo3b2o48bob2o33bo7bo$106b2o3b2o2b2o54b3o34b3o3bo$106b3o2bo3b2o2bo 54b2o33b2o4bob2o$108bobobobobob2o47b4o4bo34b3o3b2obo$114b2o2b2o48b5obo bo31bo2bo5bobo$113bo9bo44bo6bo33b2o$118b2obo2bo50bo2bo35b2o$117b2o4bo 51bo2bo33bobo$116bobobo2b2o48b6o32bo$115b2obo4bo47bob2obo37bo$121bo2bo 46bo7bo34bo$118b2obob2o46bo4b3obo27b2o4bo3bo$117bobo2b2o48bo3bobo29bo 4bo3b3o$116b2o3bo3bo46b2o4bobo25bo3b2o$116b2ob6o48b2obob2o23b2o3bo8bo 3bo$118b5obo49bob5o22bo16b3o$124bob2o44bob2o2bo22bo3b2o10bo6bo$118bo5b ob2o47bo22b2o3bo13bo2bo3bo$118bo6b3o44bo4bo2bo17bo18bo3b2obo$118bo8b3o 43bo3b2o17bo3b2o19b2o$122b2o3bo49bo15b2o3bo19b2ob2o$117bo3b2o52b2o16bo 27b2o$117b3ob2obo49b2o4bo10bo3b2o20b2o2b2o$117bo2b3o2bo49bo3bobo6b2o3b o21b2ob2o$123bo2bo48bo2bo3b2o4bo26b2o$118bobo3bo3b2o48bobo5bo3b2o24bob o$118bobo7bobo54bo2bo28b3o$118bobo4b2obo51b2obo33bo2bo$127bo54bo3bo31b 2o2bo$182b2o33bo3bob2o$126bo2b2o52bob2o31bo2bo$126b2obo2bo86b6o$125bo 5bobo49bo$126b3o5bo50b2ob2o$185bo2b2o$124b3obobo3bo88bobo$123b2o6bo50b o2bo5bo30b2ob3o$123b2ob3o3b2obo47b2o5b4o27bobo$125bo2bo3b2obo49bo4b2ob 2o25b3o4bo$125b2obo91bo6b2o$126b2o59bo33bo4bo$125bo2bo60b4o34b2o$126b 3o60bobo$125bo3bo58bo2bo$127bo61bo$124b2ob2o2bo57bo$123bobo5bo57bobo2b o$123bo5bo53b3o3bob3obo$124b7o52bo2bo5bo2bo$124bo6bo51bobo7bob3o$124b 4ob3o46b3o15bobo$124b2o6bo45bo2bo13bo3bo$126b5ob2o44bobo12bob2o2b2o$ 126b2obo3bo39b3o17bob6o$130bob2o39bo2bo17b2obo$129b3ob3o37bobo$128b2o 4bo33b3o23bo$127bob4obo33bo2bo20b2obobobo$126b2o3b2ob2o32bobo21bo4b2o$ 129bo2bobo28b3o26bo4bo$130bobob2o27bo2bo24b2o3bo$130bobo30bobo25b2o3bo $130bob2o24b3o30b2o2b2o22bo$130bo2bo24bo2bo30b2o4bo19b3o$129bo2b2o24bo 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13bo5bobo$151bo5bo34b4o4b3obo9bo2bo3b2o12b3o5bo$152b2o2bo35bo3bo4bo12b o3b3o$153b3o35bob3o5bo2b2o11b2obo12b3obobo3bo$194bo6b5o11b3o12b2o6bo$ 190b4obo2b2o2bobo27b2ob3o3b2obo$192b2o2bo5b4o28bo2bo3b2obo$192b2o3bo3b o3bo28b2obo$201b5o13b3o13b2o$199b3o3bo2bo10b2o13bo2bo$203b3obobo25b3o$ 201bo18b2o12bo3bo$200b3obo4bo8b2o16bo$200bo4b3o10b3o12b2ob2o2bo$201b2o 3b2obo8bo2bobo8bobo5bo$201bo4b4o8bob2obob2o5bo5bo$202bobo2bo10b2o5b2o 6b7o$201b3obo3bo11bobo9bo6bo$202b2o5b2o7bo6b2o6b4ob3o$202b3o3b2obo6bo 3b2o9b2o6bo$202b3o3b2o2bo6bobo2b3o8b5ob2o$202bo2bo3bob2o11b2o9b2obo3bo $203bo19bo15bob2o$203bo3bo14bo3bo11b3ob3o$206b2o15bo3bo9b2o4bo$201b3ob 3o15bo2bo9bob4obo$201b2obo21b2o7b2o3b2ob2o$201b2o3bo3bo12b2obobo9bo2bo bo$203b4obob2obo14bo10bobob2o$203bo3b2ob5o11bob2o9bobo$211bo13bo13bob 2o$210b2ob2o9b2o13bo2bo$211b3o9b2o13bo2b2o$214bo9bobo11bo2bobo$210bo4b 2o7b2o13bo3bo$210bo5b3o6bob2o15bo$210bo5b3o24bo$211b3o9bo4bo10b4o$209b 5o8b2ob3o11bo4b2o$209bo5bob2o3b3o15bo6bo$208bob2ob4ob2o2b2o19bo3bo$ 216bo26bo3bo$211bo2bo2b2o25bob2o$212b2o32b2o$150b2o60b3o31bo2b2o$149b 2o59bo36bo2bo$151b2obo55b5o32bo$149bo3b3ob2o50bo39bo$148b6ob2o2bo49b2o b2o35bob3o$147b2ob2o4bo51bo4b2o34bo4bo$147bo4bo6bobo46bobo38bo4bo$147b 5o4b3o2bo45b2o40b7o$147b3obo4b2o49b2ob3ob2o32bobo$152b2o2bobo48b2o4bo 3bo32bo4b5o$148bo3b2o3b2o49b2o5bo2bo29b3o7b2o$153bo3bo2bobo51bo40b2o$ 156b3o2b3o51b2o2bo34b4o$156b2obo54b5o34bo2b2o$158bob3ob2o46bo39bo$156b o2bo92bo$155b2obo2bobo48b2o38bo2bo$155b2o2b3o49b2o5b3o31bo$156bo2bo2bo bo46b2ob3o2b2o27b3o2b2o3b2o$156b2obob2o2b2o46bobo31bo2bo5bobobo$158bob 3o54bob2o26bo9bo2bo$164b3o46bo3bob2o22b3o2bo10b3o$165b2o46bo3bobo22bo 2bo12bo$213bo5bo22bo16b2ob3o$157b2o6bo2bo44bo3bob2o17b3o2bo15bo3bobo$ 157b2obo4b4o45bo22bo2bo18bo$158b2o3b5o47b3o19bo20bob2o$158bo3b2o69b3o 2bo22bo$158b2o4bo50bo16bo2bo21bo3bo$158bo4b2o50bo4bo11bo23bo2b4o$156b 5o2bo2bo48bob2ob2o6b3o2bo22bo2b2o$159bo5b2o54b2o4bo2bo25bobo4bo$158b2o 6bob3o48b2obobo2bo30b3o$159bo4b2o3b2o49b2o3bo2bo30bo3bo$162b4o54bo3b2o 33b2obo$165b3o56bo34bob3o$166bo4bo50bo3bo32bo3bobo$166b7o49bo3bo31bo3b o$169bob2o53b2o34bo3bo$165b3o3b2o50b2o2b3o$168bo5bo48bo2bobo36bo$165b 2ob3o2bo49bo39b2o$164b2o3b2ob2o49bo7bo31b4o$164bobo2bobobobo48b3o3bo 32bob2o$165b2ob5o3bo48b2o4bob2o26b2o$165b2o3bo2bobo50b3o3b2obo25bo6bo$ 166bo2bo54bo2bo5bobo25bobo3b2o$167bo57b2o39bo$166b3o61b2o$165bo62bobo$ 165bob3o57bo$170bo59bo$164bo6bo58bo$163b2obo3bo53b2o4bo3bo$166bob2o54b o4bo3b3o$167b3o52bo3b2o$170b2o47b2o3bo8bo3bo$163b4o4bo47bo16b3o$164b5o bobo44bo3b2o10bo6bo$164bo6bo42b2o3bo13bo2bo3bo$171bo2bo39bo18bo3b2obo$ 171bo2bo37bo3b2o19b2o$169b6o34b2o3bo19b2ob2o$167bob2obo36bo27b2o$167bo 7bo31bo3b2o20b2o2b2o$167bo4b3obo27b2o3bo21b2ob2o$168bo3bobo29bo26b2o$ 168b2o4bobo25bo3b2o24bobo$169b2obob2o23b2o3bo28b3o$170bob5o22bo33bo2bo $168bob2o2bo22bo3b2o31b2o2bo$171bo22b2o3bo33bo3bob2o$168bo4bo2bo17bo 39bo2bo$169bo3b2o17bo3b2o37b6o$173bo15b2o3bo48bo$171b2o16bo53b3o$170b 2o4bo10bo3b2o52bo$171bo3bobo6b2o3bo54b3o$171bo2bo3b2o4bo$174bobo5bo3b 2o60bo$181bo2bo63b2o$176b2obo62b3ob3ob3o$178bo3bo59b2obo2bo2b2o$178b2o 62bobo3bo$179bob2o61bo$243bobo2bo$179bo66bo$181b2ob2o62bo$181bo2b2o60b obo$245b2o$178bo2bo5bo56b2o$179b2o5b4o54bob4o$181bo4b2ob2o54b2ob2o$ 243b2obobo$183bo58bobo3b2o$185b4o53bo2b3o$185bobo55b3obobo$184bo2bo56b 3o$185bo$185bo$185bobo$184bo3bo$184bo$185bobob3o$189bo$189bo2bo$190bob ob2o$192bo$191bobob2o$192bo3bo$193bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBNAIL THUMBSIZE 2 WIDTH 640 HEIGHT 1024 TRACKLOOP 600 -1/6 -2/6 ZOOM 2 AUTOSTART GPS 6 ]]
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