c/2 spaceship syntheses
Posted: October 22nd, 2009, 3:19 pm
There has been discussion of c/2 spaceship syntheses in several topics. The point of this topic is to focus that discussion.
What is known:
- All standard 3-ship flotillas (flotillas composed of three basic spaceships loosely interacting)
- All of the hivenudgers
- Many of the 3-component overweight spaceship flotillas (see here for more details)
Here are some other spaceships with non-standard components that have syntheses:
Note that I left off the larger overweight spaceships, because there are just too many of them.
What to look for:
- Syntheses of non-standard spaceship flotillas
- Syntheses of non-standard spaceship components (like one half of x66)
- Improved syntheses of spaceships with known syntheses
- synthesis of a period 2 spaceship (probably out of our reach at the moment)
These are all of the ships up to 34 bits without syntheses that I know of:
-Add a middleweight spaceship to this 2-spaceship flotilla to create the 3-spaceship flotilla:
If I am missing anything, please point it out.
What is known:
- All standard 3-ship flotillas (flotillas composed of three basic spaceships loosely interacting)
- All of the hivenudgers
- Many of the 3-component overweight spaceship flotillas (see here for more details)
Here are some other spaceships with non-standard components that have syntheses:
Code: Select all
x = 534, y = 305, rule = B3/S23
66bo$66bobo$66b2o$obobo3bo3bo43bo14bo$57b2o10b2o$4bo3bo3bo43b2o12b2o$
62b2o$obobo3bobobo49bobo$63bo$o11bo2$obobo7bo$65b6o$65bo5bo$65bo$66bo
4bo$68b2o20$40bo$41b2o$40b2o$57bo$55b2o$51bo4b2o7b6o$obobo3bobobo38bob
o11bo5bo56b2o$51b2o6bo5bo61b4o$4bo3bo3bo45bo7bo4bo54b2ob2o$58b3o7b2o
57b2o$obobo3bobobo2$o7bo3bo$122bo$obobo3bobobo108bobo$121bo2bo$122b2o$
114bo$114b2o$113bobo2$130b2o$119b2o8b2o$120b2o9bo$38b3o22bo55bo$40bo
21b2o$39bo22bobo20$66bo$65bo$65b3o2$56bobo$57b2o$obobo3bobobo44bo4b2o$
62b2o7b4o$4bo3bo3bo58bo3bo$71bo$obobo3bo3bo59bo2bo$63b2o$4bo3bo3bo50bo
bo$64b2o$obobo3bobobo$61b2o7bo$61b2o6b2o$55bo13bobo$55b2o$54bobo2$65b
3o$65bo$66bo$365bo84bo76bo$364bo84bo76bo$364b3o82b3o74b3o$320bo84bo76b
o$321b2o83b2o75b2o$320b2o83b2o75b2o$367bo$367bobo84bo76bo$367b2o85bobo
74bobo$454b2o75b2o3$368bo$113bo252b2o$68bo43bo44bo88bo42bo77b2o$67bo
44b3o41bo45bo42bo42bo$67b3o30bo55b3o42bo43b3o40b3o$55bo45b2o41bo56b3o
27bo42bo$56b2o42b2o43b2o42bo42b2o41b2o$55b2o87b2o44b2o39b2o41b2o$107b
2o80b2o$62b2o43b2o42b2o94bo42bo$obobo3bo53b2o50bo36b2o43b2o41b2o5bo35b
2o5bo6bo$71bo42bobo43bo35b2o41b2o5b3o33b2o5b3o3bo47b2o83b2o75b2o$4bo3b
o62bobo40b2o44bobo40bo91b3o45b2o83b2o75b2o$71b2o87b2o41bobo29bobo40bob
o$obobo3bo99bo94b2o31b2o41b2o$65bo41bobo44bo81bo42bo60b2o83b2o75b2o$4b
o3bo55bobo40b2o44bobo41bo44b2o41b2o53bobo82bobo74bobo$64b2o35b2o50b2o
41bobo43bobo40bobo53bobo82bobo74bobo$obobo3bo49b2o42b2o43b2o47b2o45bo
42bo42b2o2b2o7b2o70b2o2b2o7b2o62b2o2b2o7b2o5bo$59b2o40bo46b2o40b2o136b
obob2o14bo64bobob2o14bo56bobob2o14bo$58bo52b2o34bo43b2o99b3o35bo3bo12b
o67bo3bo12bo59bo3bo13b3o$68b2o34b2o5bobo37bo5b2o31bo58b3o40bo54b3o82b
3o$61b2o5bobo33b2o5bo38bobo4bobo34bo5b2o41bo5bo43bo$61b2o5bo81b2o5bo
35bobo4bobo39bobo5bo34b2o$97bo95b2o5bo41b2o41b2o$54bo42b2o44bo$54b2o
40bobo44b2o41bo48bo42bo$53bobo54b2o30bobo41b2o47b2o41b2o$67b2o41bobo
72bobo46bobo40bobo60b3o82b3o$67bobo40bo44b3o133b2o49bo84bo75b2o$67bo
87bo42b3o46b3o41bobo47bo84bo77b2o$156bo41bo48bo43bo211bo$199bo48bo$
451bo76bo$450b2o75b2o$450bobo74bobo$323b2o83b2o75b2o$322bobo82bobo74bo
bo$324bo84bo76bo2$370b2o$369b2o$309b3o10bo48bo22b3o10bo63b3o10bo$311bo
10b2o72bo10b2o64bo10b2o$310bo10bobo71bo10bobo63bo10bobo$365b2o83b2o$
365bobo82bobo73b3o$365bo84bo75bo$527bo$228bo$206bobo18bo$207b2o18b3o$
207bo$164bo$165bo$64bo84bo5bo7b3o$63bo52bo30bobo3bobo82bo$63b3o49bo32b
2o4b2o81bo$115b3o119b3o$54bobo$55b2o49bobo40bo35bo$obobo3bobobo42bo4b
2o45b2o40b3o28bo4bobo$60bobo7b4o33bo4b2o38bo25b2o5b2o$4bo7bo48bo8bo3bo
37b2o7b5o25b2o26b2o$70bo50bo4bo36bo12bo$obobo3bobobo58bo2bo46bo40bobo
9bobo$62b2o58bo3bo36b2o10b2o$4bo3bo53bobo48b2o9bo$63b2o48bobo$obobo3bo
bobo101b2o106bo$60b2o7bo105b2o46bo$60b2o6b2o41b2o7bo53bobo44b3o$54bo
13bobo40b2o6b2o37b3o15bo31b3o$54b2o49bo13bobo29b2o7bo18b2o29bo6bo$53bo
bo49b2o45bo6bo18b2o5b2o22bo7b2o$104bobo42b3o28bo4bobo28bobo$64b3o82bo
35bo$64bo50b3o$65bo49bo$116bo31b2o4b2o67b2o$147bobo3bobo66bobo$149bo5b
o7b3o58bo$165bo$164bo$206b2o$207b2o$206bo20bo$199bo26b2o$199b2o25bobo$
198bobo2$61bo167b3o$61bobo55bo109bo$61b2o56bobo108bo$41bo77b2o$42b2o
63bo$41b2o65b2o$107b2o2$114b2o$114bobo$obobo3bobobo102bo5bo$52b2o67bob
o$4bo7bo39b2o67b2o2$obobo3bobobo102bo$54b2o58bobo$4bo7bo41b2o58b2o$73b
o34b2o$obobo3bobobo29b2o27bo3bo33b2o$43bo26bo37bo$40b3o27bo4bo36bo5b2o
$40bo29b5o36bobo4bobo$111b2o5bo2$39b2o4b2o57bo$38bobo3bobo57b2o$40bo5b
o56bobo2$116b3o$116bo$117bo3$20bo$21b2o$20b2o9$33bo$34bo$32b3o$260bo
160bo$258bobo69bo90bobo$33b3o223b2o67bobo90b2o$35bo7bobo283b2o64bo$34b
o8b2o73bo136bobo26bobo69bobo37b2o$44bo72bo138b2o26b2o7bobo29bobo28b2o
7bobo27b2o$117b3o136bo28bo7b2o31b2o29bo7b2o$166bo127bo31bo39bo$108bobo
54bo54bo$obobo3bo3bo96b2o54b3o51bo$109bo4b2o103b3o72bo71bo$4bo3bo3bo
59b4o38b2o7b4o29bobo130bo4bobo64bo4bobo57bo$72bo3bo46bo3bo29b2o51bobo
58b2o14b2o5b2o63b2o5b2o57bo$obobo3bobobo59bo50bo33bo4b2o47b2o58bo16b2o
40bo10b2o17b2o63b3o$73bo2bo47bo2bo34bobo7b5o34bo4b2o51bobo59b2o8bo67b
2o$4bo7bo29b2o71b2o46bo8bo4bo38b2o7b6o38b2o8bo50b2o7bobo9bo57bobo$42bo
bo70bobo54bo52bo5bo45b2o60b2o8b2o59bo$obobo7bo30b2o71b2o55bo3bo47bo52b
2o70b2o$164b2o9bo50bo4bo36bo$40b2o70b2o8bo41bobo50b2o9b2o37bobo12b2o
70b2o$40b2o70b2o7b2o42b2o50bobo48b2o12bobo69bobo$106b2o13bobo94b2o62bo
71bo$105bobo54b2o7bo166bo$107bo54b2o6b2o43b2o7bo112bobo$117bo38bo13bob
o42b2o6b2o112bo2bo69bo$116b2o38b2o51bo13bobo112b2o71bo$116bobo36bobo
51b2o198b3o$208bobo45b2o70b2o$166b3o88bo18b2o51bo18b2o55bo$166bo52b3o
32b3o18bobo48b3o18bobo55b2o$60bo106bo51bo34bo4b3o15bo48bo22bo54bobo$
59b2o159bo40bo26b2o70b2o$23bo35bobo198bo26b2o5b2o63b2o5b2o$23b2o264bo
4bobo64bo4bobo$22bobo269bo71bo44b2o$410bobo$55b3o354bo$55bo193b2o4b2o
64b2o4b2o$56bo191bobo3bobo63bobo3bobo$250bo5bo7b3o55bo5bo7b3o55b2o$
266bo71bo56b2o$265bo71bo56bo20bo$387bo26b2o$387b2o25bobo$386bobo2$417b
3o$417bo$418bo!What to look for:
- Syntheses of non-standard spaceship flotillas
- Syntheses of non-standard spaceship components (like one half of x66)
- Improved syntheses of spaceships with known syntheses
- synthesis of a period 2 spaceship (probably out of our reach at the moment)
These are all of the ships up to 34 bits without syntheses that I know of:
Code: Select all
x = 123, y = 52, rule = B3/S23
obobo3bobobo24bobobo3bo28bobobo3bobobo23bobobo3bo3bo2$4bo3bo3bo28bo3bo
32bo7bo27bo3bo3bo2$obobo3bo3bo24bobobo3bo28bobobo3bobobo23bobobo3bobob
o2$4bo3bo3bo28bo3bo32bo3bo31bo7bo2$obobo3bobobo24bobobo3bo28bobobo3bob
obo23bobobo7bo14$2b3o4b3o32b3o28b3o6b3o26b3o3b3o$2bo2bo2bo2bo31bo2bo
28bo2bo5bo2bo25bo2bobo2bo$2bo5bo3bo30bo2bo28bo8bo27bo3bobo3bo$2bo3bobo
bo32bo3bo27bo3bo4bo3bo25bobobobo$2bo3bo3bo31bo4bo27bo3bobo2bo3bo25bo5b
o$2bo6b2o27bo3bo32bo4bobobo29b2o3b2o$3bobo2b2o27b3o6b2o28bo8bobo27b2ob
2o$8b2o26b2obo3b2o33b2ob2o32b2ob2o$10bo25b3o75bo5bo$36b3o$37b2o9$b3o
33b3o$o2bo6b3o24bo2bo4b3o$o4bo4bo2bo23bo6bo2bo$3bobo2bo4bo23bo3bo5bo$
2o4bobobo27bo4bo3bo$5bobo4b2o24bo3bo4bo$3bo4bo28bobob2o3bo$4bo5bo26bo
6bo$9bo$39b2obo$41bo!Code: Select all
x = 49, y = 14, rule = B3/S23
5b3o37b3o$4b5o35b5o$3b2ob3o34b2ob3o$4b2o38b2o2$bo39bo$o39bo$o4bo34bo4b
o$5o35b5o2$45b3o$44b5o$43b2ob3o$44b2o!