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## Spaceship Discussion Thread

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

### Re: Spaceship Discussion Thread

drc wrote:
Ethanagor wrote:I may or may not have just discovered a new spaceship. I checked through the wiki and couldn't find it, but tell me if this is already a thing. It is speed 2c/20 and orthogonal. Here is the RLE:

That ship is already known, other rules aren't on the wiki, and it's not in life.

Sorry, I didn't realize I wan't using the life rules... Oops! I can delete the response if you want...
"It's not easy having a good time. Even smiling makes my face ache." - Frank N. Furter
Ethanagor

Posts: 80
Joined: March 15th, 2017, 7:34 pm
Location: the Milky Way galaxy

### Re: Spaceship Discussion Thread

Reporting negative result for c/8 diagonal for width 6 asymmetry, width 11 bilateral symmetry, width 12 glide-reflective symmetry, width 13 gutter symmetry, and width 14 skew gutter symmetry.

Also negative result for c/11 width 6 asymmetry and width 13 gutter symmetry.

I could not work out how to get partials from the c/8d search (gfind-pt), but here are some of the more "promising" partials from the c/11 search:

x = 341, y = 33, rule = B3/S2329bo$3b2o8bo14bobo12bo3bo13bo3bo$2bo2bo6bobo13bobo11bobobobo11bobobobo17bo3bo$2bo2bo5bo2bo14bo12bobobobo11bobobobo16bobobobo40bo3bo45bo3bo47bo5bo$12b2o27b2obobob2o9b2obobob2o15bobobobo19bo3bo15bobobobo21bo3bo17bobobobo45bobo3bobo20bo5bo$2bo38b2obobob2o9b2obobob2o14b2obobob2o17bobobobo14bobobobo20bobobobo16bobobobo13bo3bo26bo2bo3bo2bo18bobo3bobo26bo5bo$bobo25b2o10b2obobob2o9b2obobob2o14b2obobob2o17bobobobo13b2obobob2o19bobobobo15b2obobob2o12bo3bo27b2o5b2o19bobo3bobo26bo5bo30bo5bo$4bo9bo13b3o13bobo15bobo17b2obobob2o16b2obobob2o12b2obobob2o18b2obobob2o14b2obobob2o12bo3bo56bo5bo26b3o3b3o29bo5bo$b2o11bo13bobo12b2ob2o37bobo19b2obobob2o12b2obobob2o18b2obobob2o14b2obobob2o145bo3bo$2bo9bo2bo13bo14bobo14bo3bo41b2obobob2o15bobo21b2obobob2o17bobo13b3o3b3o27bo3bo54bo3bobo3bo$2b2o8b2o28bo5bo10b3o3b3o16bo3bo21bobo45bobo36bo7bo26bobobobo22b2ob2o27bobo3bobo28b2o5b2o$bob2o7bobo12bobo11bo2bobo2bo10bo5bo15b3o3b3o39bo3bo45bo3bo12b3o3b3o25bo7bo19bo7bo62b2o5b2o$2obo23b2o54bo5bo19bo3bo14b3o3b3o20bo3bo16b3o3b3o11bobobobo26b2o5b2o18b2o2bobo2b2o24b3o3b3o30bo3bo$13bobo11bobo77b3o3b3o13bo5bo19b3o3b3o15bo5bo45b2obobob2o18b2o2bobo2b2o22b2ob2o3b2ob2o25bobobobobobo$3b2o7bobo13bo28b2o9b2o38bo5bo41bo5bo34b2o5b2o27b2ob2o20b5ob5o22b2obo5bob2o25bo3bobo3bo$2bo7b2o2bo12bobo28bo9bo189b4o3b4o24bo7bo29b3ob3o$29bo29b2obobob2o129bobo3bobo51b3obo3bob3o23b3o3b3o30b2ob2o$28bobo29bo5bo15bo7bo15bo9bo10bob2o3b2obo42bo3bo12bo7bo26bo5bo20bo7bo24bo3bobo3bo27bo7bo$28b2o51b3o5b3o13bo11bo9bo9bo16b3o5b3o11bo2bo5bo2bo7b2o7b2o24b3o3b3o20b2o3b2o28b2ob2o29bo2bo3bo2bo$60bobobobo14bo2bo3bo2bo14bo2b2ob2o2bo38b2o5b2o68b3ob3o21bo5bo25b2ob2ob2ob2o25b2o9b2o$60b2o3b2o14b3o5b3o15b2o5b2o12b2obobob2o18bo7bo33b2o5b2o26b3ob3o18bo4bobo4bo22b2obo3bob2o25b2o9b2o$58bo9bo13bo7bo16bo7bo10b2o3bobo3b2o17b2o3b2o36bo3bo53bobo7bobo21b2ob2o3b2ob2o25bo3bobo3bo$60bo5bo15b3o3b3o15b[code][/code]2o2bobo2b2o9b2o3bobo3b2o92bo7bo20bo5bo63bo2bobo2bo$58b3o5b3o14bo5bo17bobo3bobo11bob3ob3obo18bobobobo68bobo3bobo20bobobobo63bob2ob2obo$60bo5bo16bo5bo18b2o3b2o11b2o3bobo3b2o19bobo69bo2b2ob2o2bo16b3o2bobo2b3o62bo3bo$60b3ob3o16b2o3b2o18b2o3b2o14b3ob3o96b2o3b2o21b2o3b2o64bo5bo$60b3ob3o16bo5bo17bobo3bobo13b2o3b2o21bo3bo98b3ob3o63b3o3b3o$59bo7bo14b3o3b3o15bobo5bobo9bo3bo3bo3bo17b3ob3o94bob2o5b2obo61b2o3b2o$59bo2bobo2bo38bo9bo10b3o5b3o15b6ob6o162b2o2bo3bo2b2o$57bo4bobo4bo10b3o7b3o14b2obobob2o12b2o5b2o18bo2bobo2bo$57b2o3bobo3b2o36bo3bobo3bo10bo3bobo3bo15b2obobobobob2o$58b2o7b2o14b2o3b2o18b3ob3o$81b5ob5o!

EDIT:

negative result for c/11 width 12 even bilateral symmetry. Here are the most "promising" partials:

x = 181, y = 28, rule = B3/S23119b2o20b2o31b2o$99b2o14bo8bo14b6o11b2o15b4o$50b2o4b2o8b2o4b2o8b2o4b2o7b6o11bo10bo13b2o2b2o9b6o13bo2bo$bo3b2o3bo6b2o4b2o6b2o4b2o10b3o4b3o5b4o4b4o4b4o4b4o5b2o2b2o12bo8bo13bobo2bobo8b2o2b2o13b4o$obo6bobo4b4o2b4o5b3o2b3o10b3o4b3o36bo2bo2bo2bo11b3o2b3o14bobo2bobo7bobo2bobo11bob2obo$o2bo4bo2bo3bobob4obobo6bo2bo27bo3bo2bo3bo4bo3bo2bo3bo3bob2o2b2obo10b2o6b2o13bo6bo7bobo2bobo10bobo2bobo$15bobob4obobo3b3o4b3o25bo2bo2bo2bo6bo2bo2bo2bo8b2o14bobo4bobo13b2o4b2o7bo6bo10bob4obo$2b3o2b3o6b2obo2bob2o4bo8bo9bo8bo37bo6bo10bob2o4b2obo11b3o4b3o6bobo2bobo9b2o6b2o$3b2o2b2o9bob2obo7bob4obo10bo3b2o3bo6bo2bo2bo2bo21b2ob2ob2o12bo6bo13b3o4b3o5b3o4b3o8b2o6b2o$2bo6bo8bo4bo6b2ob4ob2o9b4o2b4o5bo10bo5bobo4bobo3b3ob4ob3o9b2o6b2o27b2o6b2o7b2o8b2o$o10bo4bo2bo2bo2bo5b3o2b3o12bo4bo8b2obo2bob2o5bo2bo4bo2bo2b2o8b2o34bo2bo7b2o2b4o2b2o6b2obo4bob2o$2bobo2bobo6b2o6b2o6bo4bo30bo2bo9bobo4bobo4b2o6b2o11bo6bo30bob2obo11b2o4b2o$o2b2o2b2o2bo3bob2ob2ob2obo23bobo2bobo7bob2o2b2obo7bo6bo6b2o4b2o10b3o6b3o13b2o2b2o8b2o4b2o11bo4bo$2bobo2bobo6b3ob2ob3o5bo2b2o2bo10b3o4b3o24b2o2b2o7bo6bo34b2o4b2o8b2o2b2o$29bobobo2bobobo8bobo4bobo6b3o4b3o7bobo2bobo6bo6bo10b2o8b2o44bob2o2b2obo$49bobo4bobo6bobo4bobo9b4o7b4o2b4o33bo6bo7b3o2b3o9bob2o2b2obo$66bob4obo7b2ob4ob2o4bo2bo2bo2bo12b2o2b2o18b2o10bobo2bobo9bob6obo$65b2o2b2o2b2o8bo4bo6b4o2b4o11b2o4b2o13b3o4b3o6bo6bo$82bo6bo6b2o4b2o13bob2obo14b2obo2bob2o6b2ob2ob2o$83b2o2b2o6b3o4b3o10b2o2b2o2b2o48b4o$80bo10bo6b4o14bo6bo15b2o2b2o7bo2bo2bo2bo12b2o$97bo4bo14bo4bo15b8o5bo3bo2bo3bo6b4o4b4o$137b3o4b3o5b3o4b3o7b2obo4bob2o$136bo2bo4bo2bo22bo8bo$138b3o2b3o9bo2bo12b2o4b2o$138bo6bo7bo2b2o2bo$153bo6bo$170b3o4b3o! EDIT 2: Negative result for c/11 width 11 odd bilateral symmetry. Goldtiger997 Posts: 538 Joined: June 21st, 2016, 8:00 am Location: 11.329903°N 142.199305°E ### Re: Spaceship Discussion Thread I have confirmed the absence of even-symmetric full-period 3c/9 ships at width 12 using gfind, and I will likely soon do the same for 2c/8 glide-symmetric full-period width-16. My knightt width-11 asymmetric c/6 search is still going strong at #D 63 after 635 CPU-hours; the last two lines output were #D 11 45 104 161 216 220 241 267 283 298 317 331 348 359 373 380 385 399 405 431 469 480 515 535 551 572 618 655 780 872 929 1003 1110 1235 1383 1759 2291 2751 2970 3232 3621 4096 4534 4884 5307 5757 6191 6622 7135 7661 8169 8722 9363 10123 10756 11410 12301 13160 14200 15230 16439#D 63 37 223244119 27 913689402 129 109613574 88 791463671 11 973599409 825355 0 0 0 825783 1 17288 . Could someone explain what they mean? x₁=ηx V ⃰_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt) $$x_1=\eta x$$ $$V^*_\eta=c^2\sqrt{\Lambda\eta}$$ $$K=\frac{\Lambda u^2}2$$ $$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$ http://conwaylife.com/wiki/A_for_all Aidan F. Pierce A for awesome Posts: 1883 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Spaceship Discussion Thread A for awesome wrote:the last two lines output were #D 11 45 104 161 216 220 241 267 283 298 317 331 348 359 373 380 385 399 405 431 469 480 515 535 551 572 618 655 780 872 929 1003 1110 1235 1383 1759 2291 2751 2970 3232 3621 4096 4534 4884 5307 5757 6191 6622 7135 7661 8169 8722 9363 10123 10756 11410 12301 13160 14200 15230 16439#D 63 37 223244119 27 913689402 129 109613574 88 791463671 11 973599409 825355 0 0 0 825783 1 17288 . Could someone explain what they mean? The search space for knightt is a tree where each node represents a "row" of a potential spaceship. I'm not exactly sure what knightt considers to be a single "row", but it is probably similar to gfind: one node in the graph represents 2p actual rows of the spaceship, where p is the period. The root node then represents an empty row (this is the front of the spaceship). If a node in the tree only leads to dead ends, then it is removed from the search. The first output line shows how many nodes are left at each level in the search. That is, at a depth of 1, there are only 11 possible nodes; at depth 2 there are 45 nodes; etc. The second output line gives some statistics, but I'm not sure what they all are. You would need to check the source code to figure that out. Obviously, 63 is the current depth of the search. One of the numbers is the current memory usage, but I'm not sure which one. -Matthias Merzenich Sokwe Moderator Posts: 1480 Joined: July 9th, 2009, 2:44 pm ### Re: Spaceship Discussion Thread Sokwe wrote:The second output line gives some statistics, but I'm not sure what they all are. You would need to check the source code to figure that out. Obviously, 63 is the current depth of the search. One of the numbers is the current memory usage, but I'm not sure which one. It's in lines 2392-94 of the source code, it appears: printf("#D %d %d %d %d %d %d %d %d %d %d %d %d %d %d %d %d %d %d\n", rownum, numtriesb, numtries, contriesb, contries, conmissqb, conmissq, contritsb, contrits, contramissesb, contramisses, sortop - sortroads, inrealship, inship, openship, offroad - allroads, trims, numhits); Unfortunately, while knightt's variable names are much more helpful than, say, those in the original version of zfind, they're still not transparent enough for me to figure out what all they mean (apart from rownum, of course). x₁=ηx V ⃰_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt) $$x_1=\eta x$$ $$V^*_\eta=c^2\sqrt{\Lambda\eta}$$ $$K=\frac{\Lambda u^2}2$$ $$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$ http://conwaylife.com/wiki/A_for_all Aidan F. Pierce A for awesome Posts: 1883 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Spaceship Discussion Thread I'd be surprised if these aren't known, but they're not listed anywhere that I can see: x = 77, y = 29, rule = B3/S2348b2o14bo10b2o$2ob2o16b2o4b2o13b2o2bo7b2o9bo3b2o2bo$14bob2ob3o6b3obo3b2o2bo4bo3bo5b3obo3b2o2bo4bo3bo$o3bo5b2o3bo4b2o6b2o3bo7bobo3b2o6b2o3bo7bobo3b2o$b2obo8b2obobob2o6b2obobo3bo5bobobo7b2obobo3bo5bobobo$2bobobo3bo5bobo12bobob2o3b2obob2o11bobob2o3b2obob2o$3b2obob3o2b2obob2o10b2obobo7bobo11b2obobo7bobo$4bobo6b2ob2o14b2o7bob2o14b2o7bob2o$7bo6bobo16bo5bob2o17bo5bob2o$5bo6bo19b2o2bo4bo17b2o2bo4bo$5bo3bobob2o18b2o3bob2o18b2o3bob2o$6bo2b5o20b3ob2o21b3ob2o$7b3o25bo26bo5$2b2o3bo2bo3bobo2b2ob2o$6bo4bobo3bo2bobo$2bo3bob2obobobobobob2o$3b2obo4bobo3bobob2o$4bobobo2bo2b2obobo$5b2obob2o3bobob2o$6bobo8b2o$9bo7bo$7bo6bo2b2o$7bo4bo3b2o$8bo3bob3o$9b3o3bo! EDIT: Another: x = 22, y = 13, rule = B3/S234b2o$2o3bo2b2o2bobo2b2ob2o$4bob3o2bo3bo2bobo$o3bob2obobobobobob2o$b2obo4bobo3bobob2o$2bobobo2bo2b2obobo$3b2obob2o3bobob2o$4bobo8b2o$7bo7bo$5bo6bo2b2o$5bo4bo3b2o$6bo3bob3o$7b3o3bo! x₁=ηx V ⃰_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt) $$x_1=\eta x$$ $$V^*_\eta=c^2\sqrt{\Lambda\eta}$$ $$K=\frac{\Lambda u^2}2$$ $$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$ http://conwaylife.com/wiki/A_for_all Aidan F. Pierce A for awesome Posts: 1883 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Spaceship Discussion Thread Remember this "double loafer"? x = 14, y = 35, rule = B3/S232bo8bo$bobo6bobo$o2bo6bo2bo$b2o8b2o$6b2o$4b2o2b2o$4bo4bo$4bo4bo$3b8o$2b4o2b4o$bo2bo4bo2bo$o3bo4bo3bo$bo2bo4bo2bo3$b3o6b3o3$2bo8bo$b3o6b3o$2ob3o2b3ob2o$obo2bo2bo2bobo$b2o3b2o3b2o$5bo2bo$bo3b4o3bo2$bo2bo4bo2bo$2b3o4b3o$2bo8bo$b2o2b4o2b2o$14o$3o8b3o$6b2o$2o3b4o3b2o$o12bo!

I tried to put two front ends side by side and search for a continuation between,and here are all partials whose length > 150:
x = 1456, y = 61, rule = 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Another attempt x = 54, y = 37, rule = B3/S232bo8bo10bo8bo10bo8bo$bobo6bobo8bobo6bobo8bobo6bobo$o2bo6bo2bo6bo2bo6bo2bo6bo2bo6bo2bo$b2o8b2o8b2o8b2o8b2o8b2o$6b2o18b2o18b2o$4b2o2b2o14b2o2b2o14b2o2b2o$4bo4bo14bo4bo14bo4bo$4bo4bo14bo4bo14bo4bo$3b8o12b8o12b8o$2b4o2b4o10b4o2b4o10b4o2b4o$bo2bo4bo2bo8bo2bo4bo2bo8bo2bo4bo2bo$o3bo4bo3bo6bo3bo4bo3bo6bo3bo4bo3bo$bo2bo4bo2bo8bo2bo4bo2bo8bo2bo4bo2bo3$b3o6b3o8b3o6b3o8b3o6b3o3$2bo8bo10bo8bo10bo8bo$b3o6b3o8b3o6b3o8b3o6b3o$8b3ob2o6b2ob3o2b3ob2o6b2ob3o$8b2obobo6bobob2o2b2obobo6bobob2o$9b4o8b4o4b4o8b4o$13bob4obo12bob4obo$13b3o2b3o12b3o2b3o$9bo6b2o6bo4bo6b2o6bo$10bob4o2b4obo6bob4o2b4obo$11bobo6bobo8bobo6bobo$12bo2bo2bo2bo10bo2bo2bo2bo$10b4obo2bob4o6b4obo2bob4o2$9bo2bo8bo2bo4bo2bo8bo2bo$10bo2b2o4b2o2bo6bo2b2o4b2o2bo$10b3o2bo2bo2b3o6b3o2bo2bo2b3o$15bo2bo16bo2bo$9bo5bo2bo5bo4bo5bo2bo5bo$9b2o3b6o3b2o4b2o3b6o3b2o!

EDIT:Just did some asymmetric search
x = 199, y = 39, rule = B3/S235bo8bo11bo8bo11bo8bo18bo8bo11bo8bo11bo8bo18bo8bo11bo8bo11bo8bo$4bobo6bobo9bobo6bobo9bobo6bobo16bobo6bobo9bobo6bobo9bobo6bobo16bobo6bobo9bobo6bobo9bobo6bobo$3bo2bo6bo2bo7bo2bo6bo2bo7bo2bo6bo2bo14bo2bo6bo2bo7bo2bo6bo2bo7bo2bo6bo2bo14bo2bo6bo2bo7bo2bo6bo2bo7bo2bo6bo2bo$4b2o8b2o9b2o8b2o9b2o8b2o16b2o8b2o9b2o8b2o9b2o8b2o16b2o8b2o9b2o8b2o9b2o8b2o$9b2o19b2o19b2o26b2o19b2o19b2o26b2o19b2o19b2o$7b2o2b2o15b2o2b2o15b2o2b2o22b2o2b2o15b2o2b2o15b2o2b2o22b2o2b2o15b2o2b2o15b2o2b2o$7bo4bo15bo4bo15bo4bo22bo4bo15bo4bo15bo4bo22bo4bo15bo4bo15bo4bo$7bo4bo15bo4bo15bo4bo22bo4bo15bo4bo15bo4bo22bo4bo15bo4bo15bo4bo$6b8o13b8o13b8o20b8o13b8o13b8o20b8o13b8o13b8o$5b4o2b4o11b4o2b4o11b4o2b4o18b4o2b4o11b4o2b4o11b4o2b4o18b4o2b4o11b4o2b4o11b4o2b4o$4bo2bo4bo2bo9bo2bo4bo2bo9bo2bo4bo2bo16bo2bo4bo2bo9bo2bo4bo2bo9bo2bo4bo2bo16bo2bo4bo2bo9bo2bo4bo2bo9bo2bo4bo2bo$3bo3bo4bo3bo7bo3bo4bo3bo7bo3bo4bo3bo14bo3bo4bo3bo7bo3bo4bo3bo7bo3bo4bo3bo14bo3bo4bo3bo7bo3bo4bo3bo7bo3bo4bo3bo$4bo2bo4bo2bo9bo2bo4bo2bo9bo2bo4bo2bo16bo2bo4bo2bo9bo2bo4bo2bo9bo2bo4bo2bo16bo2bo4bo2bo9bo2bo4bo2bo9bo2bo4bo2bo3$4b3o6b3o9b3o6b3o9b3o6b3o16b3o6b3o9b3o6b3o9b3o6b3o16b3o6b3o9b3o6b3o9b3o6b3o3$5b2o7b2o9b2o8b2o9b2o27bo8b2o9b2o8b2o9b2o26b2o8b2o9b2o8b2o9b2o$4b2o7bob2o7b2obo6bob2o7b2obo25b3o6bob2o7b2obo6bob2o7b2obo24b2obo6bob2o7b2obo6bob2o7b2obo$bo3bo11bo5bo14bo5bo28b2ob3o8bo5bo14bo5bo28bo13bo5bo14bo5bo$b2o4bo7bo2bo3bo2bo10bo2bo3bo2bo26bobob2o6bo2bo3bo2bo10bo2bo3bo2bo26bob2o8bo2bo3bo2bo10bo2bo3bo2bo$2bo3b2o7bobo5bobo10bobo5bobo27b4o7bobo5bobo10bobo5bobo25b3o10bobo5bobo10bobo5bobo$7b2o62bobo$2bobo2b2o7bobo3bobo12bobo3bobo25bobo12b2o5b2o12b2o5b2o29bo10b2o5b2o12b2o5b2o$2bobo13bo3bo16bo3bo27bo16bo3bo16bo3bo28b2o14bo3bo16bo3bo$5bo11bo5bo14bo5bo26bob2o11bobo3bobo12bobo3bobo25bo2bo10b3o5b3o10b3o5b3o$3o3b2o10bo3bo16bo3bo26b3o2bo11bo5bo14bo5bo25bob3o8bo13bo6bo13bo$8bo9b2ob2o16b2ob2o26b3o3bo11bo3bo16bo3bo27bo2bo8bo13bo6bo13bo$2ob2o2b2o5b3ob2ob2ob3o8b3ob2ob2ob3o27b3o7b2ob2ob2ob2o10b2ob2ob2ob2o23b4o8bobob2o5b2obobo4bobob2o5b2obobo$15b2o7b2o10b2o7b2o25bobobo7bo3b2ob2o3bo8bo3b2ob2o3bo23bo2b2o5b2obo11bob2o2b2obo11bob2o$12b2ob2ob2ob2ob2ob2o4b2ob2ob2ob2ob2ob2o20b2o2bo8b2obobo3bobob2o6b2obobo3bobob2o24b3o7b3ob2o3b2ob3o6b3ob2o3b2ob3o$14b2o2bo3bo2b2o8b2o2bo3bo2b2o22bo4b3o5bo2b3o3b3o2bo6bo2b3o3b3o2bo23bo3b2o9b2o3b2o14b2o3b2o$13bo5bobo5bo6bo5bobo5bo33b2obo3bobo3bob2o4b2obo3bobo3bob2o20bo5bobo3bob2o9b2obo4bob2o9b2obo$18bo3bo16bo3bo38bo3bo2bobo2bo3bo4bo3bo2bobo2bo3bo20bo5bo5bo15bo4bo15bo$12b2obobo5bobob2o4b2obobo5bobob2o34bobo7bobo8bobo7bobo34bo2bo2b2ob2o2bo2bo4bo2bo2b2ob2o2bo2bo$15b2obo3bob2o10b2obo3bob2o35bo2b2o2bobo2b2o2bo4bo2b2o2bobo2b2o2bo33b2o2b2o3b2o2b2o6b2o2b2o3b2o2b2o$153bobo2b2ob2o2bobo6bobo2b2ob2o2bobo$154b2ob3ob3ob2o8b2ob3ob3ob2o!
Last edited by GUYTU6J on April 15th, 2017, 8:37 am, edited 1 time in total.
Current status: outside the continent of cellular automata. Specifically, not on the plain of life.

GUYTU6J

Posts: 672
Joined: August 5th, 2016, 10:27 am
Location: My Glimmering Garden

### Re: Spaceship Discussion Thread

I'm doing some c/6 diagonal searches with JLS; here's a somewhat promising partial from that:
x = 32, y = 32, rule = B3/S2322b7obo$27bo2bo$27b2obo$22b3o$23b3obob2o$23bo3bo$25bo3bo$24b2obobo$26bo$26bob3o$26b2obo$23bobo$23b4o2bo$25bo2bo$28bo2$27bob2o$25bo3bo$22b2o4bo$25b3o2$25bo$o2bo14bo5bob2obo$o2b3o5b2o5bo5bobo$o2b2o2bo4bo9b2o5b3o$o3bob2o3b3o3bobobo7b2o$o7b3obo6bo2b2o2b2obo$3ob2obo2bo5bo2bo2bo3bo$obo6bo3b2o3bo9bo$4bob2ob2obo3b2o4bob3o$3obo4bo6bo7b2o$24bo! I don't know how to get JLS to report partials in any useful kind of fashion, unfortunately. It may be impossible. EDIT: Here's something slightly different: x = 25, y = 25, rule = B3/S2319b2o2b2o$19b3o2bo$20b2o2$19b2o$19bobo2$19bo2bo$19bo2bo$15bob3obo$15bob2obo$15bob2o2$20b2o$16b3o$9b3o5b2o3bo$14bo7bo$9b3o2b2o6bo$9b3o2b2o3bobo$2o2b2ob3o8b3o$3obo5bo2bo5bo$b2o2bo3bo3bo4bo$7b2o6b3o$o$2o!

EDIT 2:
x = 39, y = 40, rule = B3/S23$30bo6bo$31bobo2bo$30b2obo2bo$29bo3b5o$37bo$31b2o3b2o$29bob3o2bo$29bo6bo$30b4o$30bo$31bobob2o$30bo5bo$31bo2bo$35bo$31bobo$36b2o$31bo2bob2o$32bo3bo$33bobo$34bobo$34bo$35bo2$34bob2o$32bo3bo$29b2o4bo$32b3o2$32bo$3bo2b2o17bo5bob2obo$obo5b2obo13bo5bobo$b2o2b2obobobobobo12b2o5b3o$5b2obo8bo6bobobo7b2o$b3o2bobobo3bo3bo7bo2b2o2b2obo$3bo8bo3bo2b2o2bo2bo2bo3bo$3bo6bo2bo4bo2bo3bo9bo$b3ob3o2b2o3b3obo3b2o4bob3o$o2b3o9b2o6bo7b2o$31bo! Time to expand my search area. x₁=ηx V ⃰_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt) $$x_1=\eta x$$ $$V^*_\eta=c^2\sqrt{\Lambda\eta}$$ $$K=\frac{\Lambda u^2}2$$ $$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$ http://conwaylife.com/wiki/A_for_all Aidan F. Pierce A for awesome Posts: 1883 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Spaceship Discussion Thread Partial p6 knightship: x = 31, y = 26, rule = B3/S237b2o$5bo3bo$5bo$b2obob2ob2o$o3b2o3b2o$o3bo3b2o$2o3b2o3bo$bo$2bo5b3o$4bo3b5o$4bo6bo3b2o$5b2o3bo4b2o2bobo$4bo2b2o2bobo3bobo2bo$4b2o3bobobobob2o3bo$4b3o2bobobo2b5o2bo$6bobobobobo2bo5bo$18b2o4b2o$13b4o6b4o$13b4o2bo4bo2bo$13bobob2o2b2o4b3o$21b2o4b3o$24b2obo$27bo$24bo3bobo$27b2obo$28b2o!

Partial c/6 diagonal:
x = 69, y = 69, rule = B3/S2326b2o$25bobo$25b3o$26bo$27bo$25b3ob2o$25bobo$28bo$26b2o$26b2o$26b2o$24bo2bo$23bo2bo$23bo2bo$22b2obo$25bo$24b2obo$25bobo$27bob2o$26bo2b2o37bo$27b3o23bob4obo6b2o$27b3o12bo9b2o4b2o2bo$14bo26b2o8bo4b2obo2b3o$12b3o14b3o4b2o11b3o7bobob2o$11bo4bo12bobob2obobo3bo3b2o3bo6b2o$b2o2b2o7b4o10b2obob4o10bo2bo7b2o$ob2obo2b3ob2o5bo11b2o4b2ob2o5bobo8b2o$3ob3ob4o4b3ob2o6bo8b2ob2obo8bo$7bo12b2o3bobob3o11bo4bo$5bo12b4ob3o2bo$5bo12b2o3bo4bo$23b4obo$26bo$24b2o$24b2o$25bo$23b3o$23bo2b2o$24bob2o2$26b2o$22bo3b2o$21b2obo$27b2o3$24bo$24b3o$28bo$23bo2bo$23bobo$22b3o$21bo5bo$20b2o2$20bo$20bobo$20bobo$20b2o2b3o$21b6o$20bo$23bo$21b2o$22b2o$22b2o3$20bo$19b2o!
-Josh Ball.

velcrorex

Posts: 339
Joined: November 1st, 2009, 1:33 pm

### Re: Spaceship Discussion Thread

velcrorex wrote:Partial p6 knightship:
x = 31, y = 26, rule = B3/S237b2o$5bo3bo$5bo$b2obob2ob2o$o3b2o3b2o$o3bo3b2o$2o3b2o3bo$bo$2bo5b3o$4bo3b5o$4bo6bo3b2o$5b2o3bo4b2o2bobo$4bo2b2o2bobo3bobo2bo$4b2o3bobobobob2o3bo$4b3o2bobobo2b5o2bo$6bobobobobo2bo5bo$18b2o4b2o$13b4o6b4o$13b4o2bo4bo2bo$13bobob2o2b2o4b3o$21b2o4b3o$24b2obo$27bo$24bo3bobo$27b2obo$28b2o! Now that looks promising! x = 81, y = 96, rule = LifeHistory58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27.A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A$4.2A18$4.2A$4.2A2.2A$8.2A!
Gamedziner

Posts: 791
Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth

### Re: Spaceship Discussion Thread

Gamedziner wrote:
velcrorex wrote:Partial p6 knightship:
x = 31, y = 26, rule = B3/S237b2o$5bo3bo$5bo$b2obob2ob2o$o3b2o3b2o$o3bo3b2o$2o3b2o3bo$bo$2bo5b3o$4bo3b5o$4bo6bo3b2o$5b2o3bo4b2o2bobo$4bo2b2o2bobo3bobo2bo$4b2o3bobobobob2o3bo$4b3o2bobobo2b5o2bo$6bobobobobo2bo5bo$18b2o4b2o$13b4o6b4o$13b4o2bo4bo2bo$13bobob2o2b2o4b3o$21b2o4b3o$24b2obo$27bo$24bo3bobo$27b2obo$28b2o! Now that looks promising! It really does!! There might be something right here, unless it becomes the new c/6 almost-knightship, but I hope there's more to it. Good job! SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI what is “sesame oil”? Rhombic Posts: 1056 Joined: June 1st, 2013, 5:41 pm ### Re: Spaceship Discussion Thread velcrorex wrote:Partial p6 knightship: x = 31, y = 26, rule = B3/S237b2o$5bo3bo$5bo$b2obob2ob2o$o3b2o3b2o$o3bo3b2o$2o3b2o3bo$bo$2bo5b3o$4bo3b5o$4bo6bo3b2o$5b2o3bo4b2o2bobo$4bo2b2o2bobo3bobo2bo$4b2o3bobobobob2o3bo$4b3o2bobobo2b5o2bo$6bobobobobo2bo5bo$18b2o4b2o$13b4o6b4o$13b4o2bo4bo2bo$13bobob2o2b2o4b3o$21b2o4b3o$24b2obo$27bo$24bo3bobo$27b2obo$28b2o!

Partial c/6 diagonal:
x = 69, y = 69, rule = B3/S2326b2o$25bobo$25b3o$26bo$27bo$25b3ob2o$25bobo$28bo$26b2o$26b2o$26b2o$24bo2bo$23bo2bo$23bo2bo$22b2obo$25bo$24b2obo$25bobo$27bob2o$26bo2b2o37bo$27b3o23bob4obo6b2o$27b3o12bo9b2o4b2o2bo$14bo26b2o8bo4b2obo2b3o$12b3o14b3o4b2o11b3o7bobob2o$11bo4bo12bobob2obobo3bo3b2o3bo6b2o$b2o2b2o7b4o10b2obob4o10bo2bo7b2o$ob2obo2b3ob2o5bo11b2o4b2ob2o5bobo8b2o$3ob3ob4o4b3ob2o6bo8b2ob2obo8bo$7bo12b2o3bobob3o11bo4bo$5bo12b4ob3o2bo$5bo12b2o3bo4bo$23b4obo$26bo$24b2o$24b2o$25bo$23b3o$23bo2b2o$24bob2o2$26b2o$22bo3b2o$21b2obo$27b2o3$24bo$24b3o$28bo$23bo2bo$23bobo$22b3o$21bo5bo$20b2o2$20bo$20bobo$20bobo$20b2o2b3o$21b6o$20bo$23bo$21b2o$22b2o$22b2o3$20bo$19b2o!

Nice! What did you use to find them?
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

A for awesome

Posts: 1883
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: Spaceship Discussion Thread

I have ruled out the existence of c/4 p8 even-glide-symmetric ships with width 16 using gfind. The search output two p4 ships, but no p8 ones:
x = 14, y = 28, rule = B3/S234b2o2b2o$4b2o2b2o$3bo6bo$3bo2b2o2bo$3bo6bo$4b6o$4bob2obo$3b2o4b2o$bo10bo$o4bo2bo4bo$o4bo2bo4bo$3b3o2b3o$obo3b2o3bobo$obo8bobo$3bo6bo$2b3o4b3o$3bobo2bobo$2obob4obob2o$b2o3b2o3b2o$bo2bo4bo2bo$2b3ob2ob3o$2b3ob2ob3o$3bo6bo3$2bobo4bobo$3bo6bo$3bo6bo! x = 14, y = 43, rule = B3/S232b2o6b2o$2bo8bo$5bo2bo$2bobo4bobo$4bo4bo$2bo8bo$2bo8bo$2b3o4b3o$3b3o2b3o$3b3o2b3o3$5b4o$5b4o2$4b2o2b2o$3bo6bo$5b4o$2bo2b4o2bo2$3b2o4b2o$5bo2bo$3b3o2b3o$3b3o2b3o$5b4o$3o2b4o2b3o$2b2o6b2o$bo4b2o4bo$b2o3b2o3b2o$bo10bo$b2o8b2o$2o2bo4bo2b2o$2obobo2bobob2o$2obobo2bobob2o$2b4o2b4o$5b4o$2b2ob4ob2o$3bo6bo$3bo6bo2$2b3o4b3o$2b3o4b3o$3bo6bo!

My knightt c/6 width 11 search is STILL going, but it's showing some signs of slowing down, although it'll probably be a long time before it finishes anyway.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

A for awesome

Posts: 1883
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: Spaceship Discussion Thread

A for awesome wrote:I have ruled out the existence of c/4 p8 even-glide-symmetric ships with width 16 using gfind.

Unfortunately, I don't think an unmodified gfind can eliminate the possibility of higher-period spaceships if it manages to find a lower-period ship at the same speed. This is because the search can reject, say, a period-8 front end because it can be replaced with a shorter period-4 front end.
-Matthias Merzenich
Sokwe
Moderator

Posts: 1480
Joined: July 9th, 2009, 2:44 pm

### Re: Spaceship Discussion Thread

Sokwe wrote:
A for awesome wrote:I have ruled out the existence of c/4 p8 even-glide-symmetric ships with width 16 using gfind.

Unfortunately, I don't think an unmodified gfind can eliminate the possibility of higher-period spaceships if it manages to find a lower-period ship at the same speed. This is because the search can reject, say, a period-8 front end because it can be replaced with a shorter period-4 front end.

Oops, ~950 CPU-hrs down the drain. Sorry for wasting my time with that when I could have been doing much more valuable searches.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

A for awesome

Posts: 1883
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: Spaceship Discussion Thread

A for awesome wrote:Oops, ~950 CPU-hrs down the drain. Sorry for wasting my time with that when I could have been doing much more valuable searches.

I wouldn't say it's wasted time. Although it's not quite a proof, it suggests an extremely high probability that there are no (2,0)c/8 glide-symmetric ships at this width. There's more potential for a width-18 search due to the large number of symmetric width-18 c/4 orthogonal ships, but a direct gfind search might be too slow.
-Matthias Merzenich
Sokwe
Moderator

Posts: 1480
Joined: July 9th, 2009, 2:44 pm

### Re: Spaceship Discussion Thread

Sokwe wrote:[A] direct gfind search might be too slow.

I very much agree.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

A for awesome

Posts: 1883
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

A 2c/6 wave:
x = 5, y = 144, rule = B3/S23:T144,1443b2o$2bo$2b3o$b2obo2$2o$3o$2obo$bo2bo$2b2o2$2b2o$2b2o2$2b2o$bo2bo$2obo$3o$2o2$b2obo$2b3o$2bo$3b2o$3b2o$2bo$2b3o$b2obo2$2o$3o$2obo$bo2bo$2b2o2$2b2o$2b2o2$2b2o$bo2bo$2obo$3o$2o2$b2obo$2b3o$2bo$3b2o$3b2o$2bo$2b3o$b2obo2$2o$3o$2obo$bo2bo$2b2o2$2b2o$2b2o2$2b2o$bo2bo$2obo$3o$2o2$b2obo$2b3o$2bo$3b2o$3b2o$2bo$2b3o$b2obo2$2o$3o$2obo$bo2bo$2b2o2$2b2o$2b2o2$2b2o$bo2bo$2obo$3o$2o2$b2obo$2b3o$2bo$3b2o$3b2o$2bo$2b3o$b2obo2$2o$3o$2obo$bo2bo$2b2o2$2b2o$2b2o2$2b2o$bo2bo$2obo$3o$2o2$b2obo$2b3o$2bo$3b2o$3b2o$2bo$2b3o$b2obo2$2o$3o$2obo$bo2bo$2b2o2$2b2o$2b2o2$2b2o$bo2bo$2obo$3o$2o2$b2obo$2b3o$2bo$3b2o! Still drifting. Bullet51 Posts: 535 Joined: July 21st, 2014, 4:35 am ### Re: Spaceship Discussion Thread 73-cell 1c/2: x = 26, y = 14, rule = B3/S2314b2o2$2o13bo8b2o$3bo11b3o6bo$o3bobo2b2o10bob2o$b2o3bo2bo8b2obob2o$2bobobob2o11bo$3b2obob2o9bob2o$4bobo6bo3bob2o$7bo6bo4bo$5bo6bo3bob2o$5bo3bobob2ob2o$6bo2b5o$7b3o! I don't know if there's some kind of listing for the smallest of these or not. EDIT: And, of course, this relatively obvious 66-cell: x = 32, y = 8, rule = B3/S232o7b2o10b2o7b2o$12bo6bo$o4bo3bo4bo2bo4bo3bo4bo$b2obo4bob2ob4ob2obo4bob2o$2bobob2ob2o3b4o3b2ob2obobo$3b2o4bo12bo4b2o$4bo3bo14bo3bo$5b3o16b3o!

EDIT 2: Another 73-cell:
x = 33, y = 9, rule = B3/S232ob2o$bobo7b2o9b2o7b2o$b2obo9bo5bo$b2obo2bo3bo4bobo4bo3bo4bo$4bobo4bob2ob3ob2obo4bob2o$3b2obob2ob2o3b3o3b2ob2obobo$5b2o4bo11bo4b2o$6bo3bo13bo3bo$7b3o15b3o!

And 66, 68, 68, 70 cells:
x = 34, y = 44, rule = B3/S2331bo$32bo$b2o7b2o9b2o7b2o$13bo5bo$bo4bo3bo4bobo4bo3bo4bo$2b2obo4bob2ob3ob2obo4bob2o$3bobob2ob2o3b3o3b2ob2obobo$4b2o4bo11bo4b2o$5bo3bo13bo3bo$6b3o15b3o2$bo29bo$o31bo$b2o7b2o9b2o7b2o$13bo5bo$bo4bo3bo4bobo4bo3bo4bo$2b2obo4bob2ob3ob2obo4bob2o$3bobob2ob2o3b3o3b2ob2obobo$4b2o4bo11bo4b2o$5bo3bo13bo3bo$6b3o15b3o2$32bo$33bo$b2o7b2o10b2o7b2o$13bo6bo$bo4bo3bo4bo2bo4bo3bo4bo$2b2obo4bob2ob4ob2obo4bob2o$3bobob2ob2o3b4o3b2ob2obobo$4b2o4bo12bo4b2o$5bo3bo14bo3bo$6b3o16b3o3$bo30bo$o32bo$b2o7b2o10b2o7b2o$13bo6bo$bo4bo3bo4bo2bo4bo3bo4bo$2b2obo4bob2ob4ob2obo4bob2o$3bobob2ob2o3b4o3b2ob2obobo$4b2o4bo12bo4b2o$5bo3bo14bo3bo$6b3o16b3o! EDIT 3: 70 cells: x = 29, y = 15, rule = B3/S232o$3bo$o3bobo2b2o$b2o3bo2bo$2bobobob2o$3b2obob2o$4bobo$7bo10b2o7b2o$5bo3b2o5bo$5bo6bobo4bo3bo4bo$6bo3bob3ob2obo4bob2o$7b3o2b3o3b2ob2obobo$19bo4b2o$20bo3bo$21b3o! EDIT 4: 69: x = 29, y = 15, rule = B3/S232ob2o2$o3bo5b2o$b2obo$2bobobo3bo$3b2obob3o$4bobo$7bo10b2o7b2o$5bo3b2o5bo$5bo6bobo4bo3bo4bo$6bo3bob3ob2obo4bob2o$7b3o2b3o3b2ob2obobo$19bo4b2o$20bo3bo$21b3o!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

A for awesome

Posts: 1883
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: Spaceship Discussion Thread

Elsewhere, Sokwe wrote:You might consider starting the [1c/2] collection yourself, since you seem to be finding many of the small ships.

Okay, here's a preliminary collection of all known 1c/2 ships with 75 or fewer bits:
x = 158, y = 385, rule = B3/S2328bobo$27bo2bo$26b2o$25bo$24b4o$23bo4bo$23bo2bo$23bo2bo$24bo$25b4obo$26bo3bo$obobo3bo3bo14bo$27bobo$o7bo3bo$26b3o$obobo3bobobo13b2o$26b3o$o3bo7bo$27bobo$obobo7bo14bo$26bo3bo$25b4obo$24bo$23bo2bo$23bo2bo$23bo4bo$24b4o$25bo$26b2o$27bo2bo$28bobo7$51bo$28bobo17bobobo$27bo2bo16bo2bo$26b2o18b2o$25bo19bo$24b4o16b4o$23bo4bo14bo4bo$23bo2bo16bo2bo$23bo2bo16bo2bo$24bo19bo$25b4obo14b4obo$26bo3bo15bo3bo$obobo3bobobo14bo19bo$27bobo17bobo$o7bo$26b3o17b3o$obobo3bobobo13b2o18b2o$26b2o18b3o$o3bo3bo3bo13b3o$47bobo$obobo3bobobo14bobo17bo$27bo18bo3bo$26bo3bo14b4obo$25b4obo13bo$24bo18bo2bo$23bo2bo16bo2bo$23bo2bo16bo4bo$23bo4bo15b4o$24b4o17bo$25bo20b2o$26b2o19bo2bo$27bo2bo17bobo$28bobo7$31bo19bo$28bobobo15bobobo$27bo2bo16bo2bo$26b2o18b2o$25bo19bo$24b4o16b4o$23bo4bo14bo4bo$23bo2bo16bo2bo$23bo2bo16bo2bo$24bo19bo$25b4obo14b4obo$26bo3bo15bo3bo$obobo3bobobo14bo19bo$27bobo17bobo$o7bo3bo$26b3o17b3o$obobo3bobobo13b2o18b2o$26b2o18b3o$o3bo3bo3bo13b3o$47bobo$obobo3bobobo14bobo17bo$27bo18bo3bo$26bo3bo14b4obo$25b4obo13bo$24bo18bo2bo$23bo2bo16bo2bo$23bo2bo16bo4bo$23bo4bo15b4o$24b4o17bo$25bo20b2o$26b2o19bo2bo$27bo2bo17bobobo$28bobo20bo9$35bobo$34bo2bo$33b2o$32bo4bo$31b5obo$28b2o$27bo3b3o$26bo3bo$26bo5bo$obobo3bobobo13bo2bo2bo$27bobo2b2obo$o7bo3bo22bo$26b3o$obobo3bobobo13b2o$26b3o$o3bo7bo$27bobo$obobo3bobobo14bo$26bo3bo$25b4obo$24bo$23bo2bo$23bo2bo$23bo4bo$24b4o$25bo$26b2o$27bo2bo$28bobo7$31bo$28bobobo$27bo2bo$26b2o91bobo$25bo92bo2bo$24b4o89b2o$23bo4bo23bobo19bobo19bo19bo3bo$23bo2bo24bo2bo18bo2bo16b4o18b3obo$23bo2bo23b2o20b2o19b3o16b2o$24bo24bo21bo4bo14bo3bo15bo3b5o$25b4obo17b6o16b5obo14b3o16bo3bo$26bo3bo14b2o7bo12b2o19bobo4bo14bo5b2o$bobobo3bobobo13bo16bo3b3obo13bo3b3o14b8o15bo2bo2b4o$27bobo13bo3bo4bo12bo3bo16b2o23bobo5bo$5bo3bo3bo29bo5bo4bo10bo5bo13b2o4b2o$26b3o14b3o3b5o11b3o3bo14bobo3bo2bo14b3o$5bo3bo3bo12b2o38bo4b2obo18bobo14b2o$26b2o15b3o3b5o12b2o6bo11b2o22b3o$5bo3bo3bo12b3o14bo5bo4bo11bobo17bo2bo$43bo3bo4bo13b2o2b2obo13bo4bo2bo15bobo$5bo3bobobo13bobo14bo3b3obo14bob3obobo11b4obobo16bo$27bo17b2o7bo19bo14bo6bo13bo3bo$26bo3bo17b6o15b5obo14b5obo12b4obo$25b4obo18bo20bo4bo14bo17bo$24bo25b2o19b3o17b3obo11bo2bo$23bo2bo24bo2bo16bo3bo16bo3bo10bo2bo$23bo2bo25bobo18b3o17b2o12bo4bo$23bo4bo44b4o17bo2bo10b4o$24b4o48bo18bobo11bo$25bo84b2o$26b2o83bo2bo$27bo2bo81bobo$28bobobo$31bo9$77bobo$34bobo18bobo18bo2bo$33bo2bo17bo2bo17b2o$32b2o19b2o19bo4bo$31bo4bo15bo4bo15b5obo$30b5obo14b5obo12b2o$27b2o19b2o19bo3b3o$26bo3b3o14bo3b3o14bo3bo$25bo3bo16bo3bo17bo5bo$25bo5bo14bo5bo15bo2bo2bo$bobobo4bobo12bo2bo2bo14bo2bo2bo16bobo2b2obo$26bobo2b2obo12bobo2b2obo21bo$5bo6bo21bo20bobo10b3o$25b3o18b3o7bo11b2o$5bo6bo12b2o19b2o20b2o$25b3o18b3o19b3o$5bo6bo$26bobo18bobo19bobo$5bo4bobobo11bo20bo21bo$25bo3bo16bo3bo17bo3bo$24b4obo15b4obo16b4obo$23bo20bo21bo$22bo2bo17bo2bo18bo2bo$22bo2bo17bo2bo18bo2bo$22bo4bo15bo4bo16bo4bo$23b4o17b4o18b4o$24bo20bo21bo$25b2o19b2o20b2o$26bo2bo17bo2bo18bo2bo$27bobobo16bobo19bobo$30bo11$97bobo$77bobo16bo2bo$35bo40bo2bo15b2o$32bobobo17bo20b2o17bo3bo$31bo2bo16b4o19bo3bo14b3obo$30b2o19b3o19b3obo12b2o$29bo19bo3bo16b2o17bo3b5o$28b6o15b3o17bo3b5o10bo3bo$25b2o7bo11bobo4bo14bo3bo15bo5b2o$bobobo3bobobo10bo3b3obo12b8o15bo5b2o12bo2bo2b4o$23bo3bo4bo11b2o22bo2bo2b4o11bobo5bo$5bo7bo9bo5bo4bo8b2o4b2o18bobo5bo$23b3o3b5o10bobo3bo2bo34b3o$5bo3bobobo37bobobo12b3o17b2o$23b3o3b5o10b2o8bo13b2o18b2o$5bo3bo13bo5bo4bo9bo2bo20b3o17b3o$23bo3bo4bo12bo4bo2bo$5bo3bobobo10bo3b3obo12b4obobo16bobo17bobo$25b2o7bo12bo6bo14bo19bo$28b6o14b5obo13bo3bo15bo3bo$29bo18bo18b4obo14b4obo$30b2o17b3obo12bo19bo$31bo2bo15bo3bo10bo2bo16bo2bo$32bobo16b2o12bo2bo16bo2bo$52bo2bo9bo4bo14bo4bo$53bobo10b4o16b4o$67bo19bo$68b2o18b2o$69bo2bo16bo2bo$70bobobo15bobo$73bo8$90bobo$89bo2bo23bobo15bobo$34bobo18bobo30b2o25bo2bo14bo2bo$33bo2bo17bo2bo29bo26b2o16b2o$32b2o19b2o31b4o23bo4bo12bo4bo$31bo4bo15bo3bo17bobo8bo4bo21b5obo11b5obo$30b5obo14b3obo17bo2bo8bo2bo20b2o16b2o$27b2o19b2o22b2o11bo2bo19bo3b3o11bo3b3o$26bo3b3o14bo3b5o15bo3bo10bo20bo3bo13bo3bo$25bo3bo16bo3bo19b3obo12b4obo14bo5bo11bo5bo$25bo5bo14bo5b2o13b2o19bo3bo14bo2bo2bo11bo2bo2bo$bobobo3bobobo11bo2bo2bo14bo2bo2b4obo8bo3b5o14bo18bobo2b2obo9bobo2b2obo$26bobo2b2obo12bobo5b2o8bo3bo19bobo24bo17bobo$5bo7bo20bobo20bo7bo5b2o34b3o15b3o7bo$25b3o7bo10b3o16b3o3b4o13b3o16b2o16b2o$5bo3bobobo11b2o19b2o18bo7bo13b2o17b2o16b2o$25b3o18b3o17b2o20b3o16b3o15b3o$5bo7bo52bobo$26bobo18bobo16b2o2bo18bobo16bobo15bobo$5bo3bobobo12bo20bo19bobo8bo10bo18bo17bo$25bo3bo16bo3bo24b2obo9bo3bo14bo3bo13bo3bo$24b4obo15b4obo16b2o6bo11b4obo13b4obo12b4obo$23bo20bo22bo2bo4bo10bo18bo17bo$22bo2bo17bo2bo21bo4bo11bo2bo15bo2bo14bo2bo$22bo2bo17bo2bo21b4obo11bo2bo15bo2bo14bo2bo$22bo4bo15bo4bo21bo14bo4bo13bo4bo12bo4bo$23b4o17b4o23b4o11b4o15b4o14b4o$24bo20bo25bo15bo18bo17bo$25b2o19b2o25b2o13b4obo13b2o16b2o$26bo2bo17bo2bo22b4o11bo3b2o14bo2bo14bo2bo$27bobobo16bobo25bo13b2o17bobobo13bobo$30bo59b4o18bo$93bo8$77bobo$48bobo25bo2bo14bobo$47bo2bo24b2o16bo2bo$34bo11b2o26bo3bo13b2o$31bobobo9bo27b3obo13bo4bo$30bo2bo10b4o22b2o18b5obo$29b2o12bo4bo6bo13bo3b5o9b2o$28bo14bo2bo5b2obo12bo3bo13bo3b3o$27b6o10bo2bo5bo15bo5b2o9bo3bo$24b2o7bo10bo7bo15bo2bo2b4o7bo5bo$bobobo3bo3bo9bo3b3obo13b4obo18bobo5bo7bo2bo2bo$22bo3bo4bo14bo3bo35bobo2b2obo$5bo3bo3bo8bo5bo4bo13bo20b3o23bo$22b3o3b5o14b5o16b2o15b3o$5bo3bobobo54b2o15b2o$22b3o3b5o14b5o16b3o14b3o$5bo7bo8bo5bo4bo13bo46bo$22bo3bo4bo14bo3bo18bobo14bobo2b2obo$5bo7bo9bo3b3obo13b4obo18bo15bo2bo2bo$24b2o7bo10bo7bo15bo3bo12bo5bo$27b6o10bo2bo5bo14b4obo12bo3bo$28bo14bo2bo5b2obo10bo19bo3b3o$29b2o12bo4bo6bo9bo2bo18b2o$30bo2bo10b4o17bo2bo21b5obo$31bobobo9bo19bo4bo20bo4bo$34bo11b2o18b4o22b2o$47bo2bo16bo25bo2bo$48bobo17b2o24bobo$69bo2bo$70bobobo$73bo8$70bobo21bo$69bo2bo18bobobo$34bobo18bobo10b2o20bo2bo$33bo2bo17bo2bo9bo21b2o64bobo$32b2o19b2o11b4o18bo65bo2bo$31bo3bo16bo4bo7bo4bo16b4o62b2o$30b3obo16b5obo7bo2bo17bo4bo20bobo19bobo15bo3bo$27b2o19b2o15bo2bo17bo2bo21bo2bo18bo2bo14b3obo$26bo3b5o12bo3b3o12bo19bo2bo20b2o20b2o14b2o$25bo3bo16bo3bo16b4obo14bo21bo3bo17bo15bo3b5o$25bo5b2o13bo5bo15bo3bo15b4obo14b3obo17b6o10bo3bo$25bo2bo2b4obo9bo2bo2bo16bo19bo3bo11b2o20b2o7bo9bo5b2o$bobobo3bobobo12bobo5b2o11bobo2b2obo13bobo18bo13bo3b5o13bo3b3obo11bo2bo2b4o$36bo18bobo32bobo10bo3bo17bo3bo4bo12bobo5bo$5bo3bo15b3o18b3o7bo11b3o32bo5b2o14bo5bo4bo$25b2o19b2o20b2o19b3o11b3o3b4o12b3o3b5o10b3o$5bo3bobobo11b2o19b2o20b2o19b2o13bo7bo33b2o$25b3o18b3o19b3o18b3o12b2o19b3o3b4obo9b3o$5bo7bo90bobo18bo5bo3b2o18bo$26bobo18bobo19bobo18bobo11b2o2bo8bo7bo3bo4b2o11bobo2b2obo$5bo3bobobo12bo20bo21bo20bo14bobo8bobo7bo3b3ob2o10bo2bo2bo$25bo3bo16bo3bo17bo3bo16bo3bo19b2obo10b2o7b2o8bo5bo$24b4obo15b4obo16b4obo15b4obo11b2o6bo16b6obo8bo3bo$23bo20bo21bo20bo17bo2bo4bo17bo15bo3b3o$22bo2bo17bo2bo18bo2bo17bo2bo16bo4bo20b2o14b2o$22bo2bo17bo2bo18bo2bo17bo2bo16b4obo21bo2bo14b5obo$22bo4bo15bo4bo16bo4bo15bo4bo16bo25bobo15bo4bo$23b4o17b4o18b4o17b4o18b4o40b2o$24bo20bo21bo20bo20bo44bo2bo$25b2o19b2o20b4obo15b4obo16b2o42bobo$26bo2bo17bo2bo17bo3b2o15bo3b2o16b4o$27bobo18bobobo17b2o19b2o21bo$51bo18b4o17b4o$73bo20bo! Due to simple 2-cell extensions, many of these are boring variants of smaller ones. Did I miss anything? I'm not sure that I have enough spare time on my hands to try to catalogue any larger ones without some sort of component-assembling software. EDIT: Added two ships I had missed; fixed wording error. EDIT 2: My knightt c/6 asymmetric width 11 search just finished with no ships, unfortunately. Here's the longest partial: x = 10, y = 101, rule = B3/S232bo$bobo$4bo$bo$5bo3bo$2b2obo3bo$6bo2bo$3b3o$3b2o$4bobo$7bo$6b2o$5bo$5bo$4bo$4bo$3bo$3b2o$4b2o$b2o$2bo2$3b2o$3bo$2bo$2bob4o$6b2o$2b2o$2b2ob2o$3bo2bo$2bobo$bobo3bo$o3b3o$2b2o$5b2o$2bo3b2o$3bo4bo$3bo3bo$3bo$3bo$2b2o3b2o$2b2o2b3o$3bobo2bo3$7b2o$3b2obobo$6bo2bo$3bo4bo$4bo3bo$7bo$5bo2bo$4b2ob2o$5bo3bo$5bo$4b2o$2b2o2bo$2b2o2bo$bob2o2$3b3o$2b2obo$2b2o2bo$2bo2b2o$4bo2b2o$4bobo$6b3o$b2o5bo$3bobo$bo2bo3bo$bo2b3o$2b2o2$bob2o$4bo$bo2b3o$bobo2bo$bo3bo$2o$bo$bobo2bo$bo4bo$6bobo$2b3ob3o$4bobo$b2o5bo$5b2o$2bo2b2obo$3obo3bo$o2b2obo2bo$2bobobobo$2bo3bo$6b2o$3bo2b2o$4b2o$3bob4o$3b2o2b2o$b2ob2o$6bobo$2bobobob2o$2b5o!

It features an interesting front end, which I don't think is known. I may try extending this partial in various ways later to try to find a width-12 ship.

I would recommend that nobody try the complete width-12 search, because just the width-11 search took me about 1600 CPU-hours (~3 CPU-months) to complete.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

A for awesome

Posts: 1883
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### Re: Spaceship Discussion Thread

A for awesome wrote:My knightt c/6 asymmetric width 11 search just finished with no ships, unfortunately.... the width-11 search took me about 1600 CPU-hours (~3 CPU-months) to complete.

Thanks! This is a valuable, if disappointing result. Now (1,1)c/6 is the only potentially possible velocity for a width-11 period-6 ship, but this seems unlikely.
-Matthias Merzenich
Sokwe
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### Re: Spaceship Discussion Thread

I have completed w9 zfind 2.0 searches for 5c/11 odd, even, and gutter symmetries with no spaceships found. Here are the longest partials:
x = 78, y = 23, rule = B3/S233bo9bo16bo10bo23bo5bo$2bobo7bobo14bobo8bobo21bobo3bobo$b2ob2o5b2ob2o12b2ob2o6b2ob2o19bo3bobo3bo$2bo2bo5bo2bo17bo6bo23bo9bo$3b3o5b3o19b2o2b2o24bobobobobobo$3b2o7b2o15bo2bobo2bobo2bo24bobo$28bobo2b6o2bobo20bo7bo$b2o11b2o12bo2b2obo2bob2o2bo21b2o3b2o$6b2ob2o18b2o10b2o19bo3bo3bo3bo$7bobo21bo8bo19b3o11b3o$4b2obobob2o16b2ob2o4b2ob2o18bobo9bobo$4bo2bobo2bo15bo3b2o4b2o3bo18b4o5b4o$b2obo2bobo2bob2o13bo12bo19bo2bo5bo2bo$bo4b2ob2o4bo17bo4bo24bo2bo3bo2bo$bo13bo12b3ob2o4b2ob3o17b2ob2o5b2ob2o$3b2obo3bob2o14bo3b2o4b2o3bo$3bo9bo14bobob2o4b2obobo$4bo3bo3bo14b2ob2o8b2ob2o14b2o3b2o5b2o3b2o$b5obobob5o13bo3bob2obo3bo21b2o5b2o$2obo9bob2o13bo4b2o4bo18bobob2o5b2obobo$27b3o3b2o2b2o3b3o15b3ob2o5b2ob3o$27bobobob2o2b2obobobo$28bo14bo!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

A for awesome

Posts: 1883
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: Spaceship Discussion Thread

A couple (2,1)c/7 partials:
x = 60, y = 28, rule = B3/S2340bo$36bo3bo$37b3obo$6bo30bobob2o$5bo29bo5bob2o$4bob2o26b2o9bo$4bo4bo23bo3bobo3bobo$2b3o4bo22b2ob2o3bob3o$3bo2bo3bo22bo4b2obob2o$obo3bo3b2o21bo3bobobo2b2o$2bo3bo4bo27bo8bo$4bo4bob2o23b2obo4bo3bobo$4bo3bo3b2obo23b3o3bo4bo$7b2o3bob2o23b3o2b3o$5b2o7bo29b2o4b2o$7bob3o30bobo4b3o$11bo3b2o25b2o5bobo$9bob4o2bo31bo3b2o$10bob2o4bo30b2o4bo$13bobo34bo5bo$15bo2bob2o25b2o2b2o$16b3o2bo25b2ob5obo$16b2o4bo32bo$18b2ob2o34bo$21bobo31bo$18bo4b2o30bo2b2o$19bob3o33b2o$20b3o34bo! x₁=ηx V ⃰_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt) $$x_1=\eta x$$ $$V^*_\eta=c^2\sqrt{\Lambda\eta}$$ $$K=\frac{\Lambda u^2}2$$ $$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$ http://conwaylife.com/wiki/A_for_all Aidan F. Pierce A for awesome Posts: 1883 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Spaceship Discussion Thread A 2c/6 ship that I think is new: x = 19, y = 63, rule = B3/S233bob3o3b3obo$2b2ob2obobob2ob2o$bo2b2o2bobo2b2o2bo$5bo2bobo2bo$bo4bobobobo4bo$2o2bobobobobobo2b2o$2o6bobo6b2o$bobo3b2ob2o3bobo$2b2o2bobobobo2b2o$b2o2b2obobob2o2b2o$8bobo$2bo5bobo5bo$bobo3b2ob2o3bobo$6bobobobo$bo3b2obobob2o3bo$bobo4bobo4bobo$3bo4bobo4bo$2o6bobo6b2o$4b3obobob3o$2bo4b2ob2o4bo$2o6bobo6b2o$obo2b2obobob2o2bobo$8bobo$4b2o2bobo2b2o$3b2o2bo3bo2b2o$7b2ob2o$3b2o9b2o$3b2o9b2o$2bo2bo7bo2bo$2bo3bo5bo3bo$5bo7bo$2b5o5b5o$b2o13b2o$7b2ob2o$8bobo$5b2obobob2o$4bobobobobobo$b2obo3bobo3bob2o$b2obo3bobo3bob2o$bobo4bobo4bobo$7b2ob2o2$2b3o9b3o$2b3o9b3o$2o3bo7bo3b2o2$o4bo7bo4bo$5b2o5b2o$5b2o5b2o$4b2o7b2o$7bo3bo$3b6ob6o$2b2obo2bobo2bob2o$5bo2bobo2bo$6bobobobo$3b2obobobobob2o$4bobobobobobo$3bo2bobobobo2bo$4b2ob2ob2ob2o$3b2o2bo3bo2b2o2$2bo13bo$3bo3bo3bo3bo!

Notice that it has two period-6 components, but only the back component is new.
-Matthias Merzenich
Sokwe
Moderator

Posts: 1480
Joined: July 9th, 2009, 2:44 pm

### Re: Spaceship Discussion Thread

Since the wiki doesn't seem to have pages on them yet, what are the smallest ships of these speeds?:

2c/6
2c/8
4c/8
3c/9
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
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