Miscellaneous topics in Conway's Game of Life -- unfinished projects of all kinds and conditions

12 June 2016

New spaceship speed: 3c/7

Tim Coe has found a symmetrical spaceship with a new speed, 3c/7 (left, below) after a series of searches that took a total of "one or two months". At 29 cells wide, it is the minimum width odd symmetric spaceship -- an exhaustive width 27 search was run some time ago by Paul Tooke. The author seems to have officially chosen a name of "Spaghetti Monster" for the new 3c/7 spaceship.

Matthias Merzenich has pointed out that two of these spaceships can support a known 3c/7 wave (right, below).


Code: Select all
#C 3c/7 FSM spaceship: Tim Coe, 11 June 2016
#C Period-28 3c/7 wave found by Stephen Silver on Feb. 2, 2000
x = 187, y = 139, rule = B3/S23
10bo7bo65bo7bo$8b2ob2o3b2ob2o61b2ob2o3b2ob2o$8b2ob2o3b2ob2o61b2ob2o3b
2ob2o73bo7bo$11b2o3b2o67b2o3b2o74b2ob2o3b2ob2o$7bo5b3o5bo59bo5b3o5bo
70b2ob2o3b2ob2o$7bo13bo59bo13bo73b2o3b2o$8bo11bo61bo11bo70bo5b3o5bo$9b
2o7b2o63b2o7b2o71bo13bo$6bobobobo3bobobobo57bobobobo3bobobobo69bo11bo$
6bobob2o5b2obobo57bobob2o5b2obobo70b2o7b2o$6bobo11bobo57bobo11bobo67bo
bobobo3bobobobo$164bobob2o5b2obobo$11bo5bo67bo5bo72bobo11bobo$10b2o5b
2o65b2o5b2o$8b2o9b2o61b2o9b2o74bo5bo$8bo3bo3bo3bo61bo3bo3bo3bo73b2o5b
2o$10bo2bobo2bo65bo2bobo2bo73b2o9b2o$10bobo3bobo65bobo3bobo73bo3bo3bo
3bo$9bo9bo63bo9bo74bo2bobo2bo$7bo3bo5bo3bo59bo3bo5bo3bo72bobo3bobo$6b
4o9b4o57b4o9b4o70bo9bo$4b2obo2bo7bo2bob2o53b2obo2bo7bo2bob2o66bo3bo5bo
3bo$4b2o2b3o7b3o2b2o53b2o2b3o7b3o2b2o65b4o9b4o$7bobo2bo3bo2bobo59bobo
2bo3bo2bobo66b2obo2bo7bo2bob2o$5bob3o2bo3bo2b3obo55bob3o2bo3bo2b3obo
64b2o2b3o7b3o2b2o$5bo4bo7bo4bo55bo4bo7bo4bo67bobo2bo3bo2bobo$163bob3o
2bo3bo2b3obo$6bo15bo57bo15bo66bo4bo7bo4bo$6b2obo9bob2o57b2obo9bob2o$5b
o3b2o7b2o3bo55bo3b2o7b2o3bo66bo15bo$164b2obo9bob2o$5b2o4bo5bo4b2o55b2o
4bo5bo4b2o65bo3b2o7b2o3bo2$8b2ob2o3b2ob2o61b2ob2o3b2ob2o68b2o4bo5bo4b
2o$2bo5b2o3bobo3b2o5bo49bo5b2o3bobo3b2o5bo$bob2o5bobo3bobo5b2obo47bob
2o5bobo3bobo5b2obo64b2ob2o3b2ob2o$2o2bo3b2obo5bob2o3bo2b2o45b2o2bo3b2o
bo5bob2o3bo2b2o57bo5b2o3bobo3b2o5bo$2bob2ob6o3b6ob2obo49bob2ob6o3b6ob
2obo58bob2o5bobo3bobo5b2obo$7bo2bobo3bobo2bo59bo2bobo3bobo2bo62b2o2bo
3b2obo5bob2o3bo2b2o$4bobo2bo9bo2bobo53bobo2bo9bo2bobo61bob2ob6o3b6ob2o
bo$2b3o3bo11bo3b3o49b3o3bo11bo3b3o64bo2bobo3bobo2bo$2b3obobo11bobob3o
49b3obobo11bobob3o61bobo2bo9bo2bobo$3b3o17b3o51b3o17b3o60b3o3bo11bo3b
3o$160b3obobo11bobob3o$4bo19bo53bo19bo62b3o17b3o$2b2o21b2o49b2o21b2o$b
obo21bobo47bobo21bobo60bo19bo$b3o21b3o47b3o21b3o58b2o21b2o$159bobo21bo
bo$b2o23b2o47b2o23b2o57b3o21b3o$b3o21b3o47b3o21b3o$4bo4b3o5b3o4bo53bo
4b3o5b3o4bo60b2o23b2o$9bo2bo3bo2bo63bo2bo3bo2bo65b3o21b3o$2bobo4bo9bo
4bobo49bobo4bo9bo4bobo61bo4b3o5b3o4bo$3bo7b2o3b2o7bo51bo7b2o3b2o7bo67b
o2bo3bo2bo$6b5o7b5o57b5o7b5o63bobo4bo9bo4bobo$5b4o11b4o55b4o11b4o63bo
7b2o3b2o7bo$4b2o17b2o53b2o17b2o65b5o7b5o$6bob2o9b2obo57bob2o9b2obo66b
4o11b4o$5bob2obo7bob2obo55bob2obo7bob2obo64b2o17b2o$7b5ob3ob5o59b5ob3o
b5o68bob2o9b2obo$2b3o2b2o2b2o3b2o2b2o2b3o49b3o2b2o2b2o3b2o2b2o2b3o62bo
b2obo7bob2obo$4bo2b2o2b2obob2o2b2o2bo53bo2b2o2b2obob2o2b2o2bo66b5ob3ob
5o$3bo3b2o2b3ob3o2b2o3bo51bo3b2o2b3ob3o2b2o3bo60b3o2b2o2b2o3b2o2b2o2b
3o$3bo5bobob3obobo5bo51bo5bobob3obobo5bo62bo2b2o2b2obob2o2b2o2bo$3bo3b
5o5b5o3bo51bo3b5o5b5o3bo61bo3b2o2b3ob3o2b2o3bo$4bo3b2o9b2o3bo53bo3b2o
9b2o3bo62bo5bobob3obobo5bo$11bo2bo2bo67bo2bo2bo69bo3b5o5b5o3bo$11b2o3b
2o67b2o3b2o70bo3b2o9b2o3bo$13bobo71bobo79bo2bo2bo$169b2o3b2o$8b3o7b3o
61b3o7b3o76bobo$7bo3b2o3b2o3bo59bo3b2o3b2o3bo$8bo11bo61bo11bo71b3o7b3o
$8bo4bobo4bo61bo4bobo4bo70bo3b2o3b2o3bo$7bobobo5bobobo59bobobo5bobobo
70bo11bo$7bo3bo5bo3bo59bo3bo5bo3bo70bo4bobo4bo$7b2o3bo3bo3b2o59b2o3bo
3bo3b2o69bobobo5bobobo$11bo5bo67bo5bo73bo3bo5bo3bo$9bo9bo63bo9bo71b2o
3bo3bo3b2o$9b2o7b2o63b2o7b2o75bo5bo$10bo7bo65bo7bo74bo9bo$167b2o7b2o$
168bo7bo$9b3o5b3o63b3o5b3o$9b2o7b2o63b2o7b2o$8bo3bo3bo3bo61bo3bo3bo3bo
72b3o5b3o$9bo3bobo3bo63bo3bobo3bo73b2o7b2o$13bobo71bobo76bo3bo3bo3bo$
11bo5bo67bo5bo75bo3bobo3bo$171bobo$11b3ob3o67b3ob3o77bo5bo$11b2obob2o
67b2obob2o$9bobo5bobo63bobo5bobo75b3ob3o$8bob2o5b2obo61bob2o5b2obo74b
2obob2o$8bo11bo61bo11bo72bobo5bobo$7bo2b2o5b2o2bo59bo2b2o5b2o2bo70bob
2o5b2obo$8b2o9b2o61b2o9b2o71bo11bo$7bob2o7b2obo59bob2o7b2obo69bo2b2o5b
2o2bo$9b2o7b2o63b2o7b2o72b2o9b2o$6bo15bo57bo15bo68bob2o7b2obo$6b2o3bo
5bo3b2o57b2o3bo5bo3b2o70b2o7b2o$6b3o2bo5bo2b3o57b3o2bo5bo2b3o67bo15bo$
7bo13bo59bo13bo68b2o3bo5bo3b2o$9b2ob2ob2ob2o63b2ob2ob2ob2o70b3o2bo5bo
2b3o$10bob2ob2obo65bob2ob2obo72bo13bo$9b2ob2ob2ob2o63b2ob2ob2ob2o73b2o
b2ob2ob2o$10bo7bo65bo7bo75bob2ob2obo$10bobobobobo65bobobobobo74b2ob2ob
2ob2o$10bo7bo65bo7bo75bo7bo$168bobobobobo$8bo4bobo4bo61bo4bobo4bo7bo7b
o7bo7bo41bo7bo$8bo3bo3bo3bo61bo3bo3bo3bo6b3o5b3o5b3o5b3o$7b2obo7bob2o
59b2obo7bob2o4bo2b2o3b2o2bo3bo2b2o3b2o2bo5bo7bo7bo7bo7bo4bobo4bo$8bob
2o5b2obo61bob2o5b2obo4b2o2b2o3b2o2b2ob2o2b2o3b2o2b2o3b3o5b3o5b3o5b3o6b
o3bo3bo3bo$6bob3o7b3obo57bob3o7b3obo2b2o2b3ob3o2b2ob2o2b3ob3o2b2o2bo2b
2o3b2o2bo3bo2b2o3b2o2bo4b2obo7bob2o$5bo17bo55bo17bob3o9b3ob3o9b3ob2o2b
2o3b2o2b2ob2o2b2o3b2o2b2o4bob2o5b2obo$12bo3bo69bo3bo9b2o9b2o3b2o9b2o2b
2o2b3ob3o2b2ob2o2b3ob3o2b2o2bob3o7b3obo$11bobobobo67bobobobo39b3o9b3ob
3o9b3obo17bo$7b3o3bobo3b3o59b3o3bobo3b3o36b2o9b2o3b2o9b2o9bo3bo$7b4obo
3bob4o59b4obo3bob4o73bobobobo$9b2o7b2o63b2o7b2o71b3o3bobo3b3o$7bob2o7b
2obo59bob2o7b2obo69b4obo3bob4o$6b2ob2o3bo3b2ob2o57b2ob2o3bo3b2ob2o70b
2o7b2o$5b2o2b2o2bobo2b2o2b2o55b2o2b2o2bobo2b2o2b2o67bob2o7b2obo$8b3obo
3bob3o61b3obo3bob3o69b2ob2o3bo3b2ob2o$5b5o2bo3bo2b5o55b5o2bo3bo2b5o65b
2o2b2o2bobo2b2o2b2o$4bo7b2ob2o7bo53bo7b2ob2o7bo67b3obo3bob3o$4bo3b2o3b
obo3b2o3bo53bo3b2o3bobo3b2o3bo64b5o2bo3bo2b5o$4bobo2bo3bobo3bo2bobo53b
obo2bo3bobo3bo2bobo63bo7b2ob2o7bo$11b3ob3o67b3ob3o70bo3b2o3bobo3b2o3bo
$7b3ob3ob3ob3o59b3ob3ob3ob3o66bobo2bo3bobo3bo2bobo$13b3o71b3o79b3ob3o$
13b3o71b3o75b3ob3ob3ob3o$171b3o$11bo5bo67bo5bo79b3o$11bobobobo67bobobo
bo$169bo5bo$169bobobobo!
#C [[ AUTOFIT AUTOSTART GPS 4 ]]

This is the twenty-second spaceship velocity constructed in Conway's Life -- counting each of the four infinite families of spaceships (Gemini, HBK, Demonoid, Caterloopillar) as one velocity each.