New rule, I had discovered a rule called Nucleus (B3aijkr4eknqz5-cein7c8/S2-i3aceiq4ejqrt5cijq6c7c) around early 2021, and posted a few things in it on Discord. I never really posted it here for some reason. Unfortunately it's not a very active rule and so there wasn't much I could find.
Yesterday I golfed a new relative rule
Nucleus2 (B3aijkr4nqz5jkqry6kn7c8/S2-i3aeiq4ejqrty5cijkq6-ai7). The namesake is the evolution of the T tetromino into a period 40 oscillator:
Code: Select all
x = 2, y = 3, rule = B3aijkr4nqz5jkqry6kn7c8/S2-i3aeiq4ejqrty5cijkq6-ai7
o$2o$o!
The remarkable thing is that it almost becomes a c/4 orthogonal spaceship gun, and then a c/4 diagonal spaceship gun, but the outputs collide so it stabilizes as an oscillator.
Similarly, a preboat is a near-replicator which divides twice, before failing and becoming a compound of four nuclei, which become a period 80 oscillator:
Code: Select all
x = 3, y = 3, rule = B3aijkr4nqz5jkqry6kn7c8/S2-i3aeiq4ejqrty5cijkq6-ai7
2o$2o$2bo!
There are three basic variants of a single nucleus that can be made by adjusting the timing of different components. In order of frequency:
Code: Select all
x = 109, y = 25, rule = B3aijkr4nqz5jkqry6kn7c8/S2-i3aeiq4ejqrty5cijkq6-ai7
7b3o10bo26b3o37b3o9b3o$10bo8b3o28bo39bo7bo$8bobo7b2obo26bobo37bobo7bob
o$10bo8b2o29bo39bo7bo$65bo$64bo$63b2o$62bo2$2bo39bo39bo23bo$b3o3bo17b
3o13b3o3bo12b3o18b3o3bo13bo3b3o$bobo2b3ob2o5b2ob3o3b2o13bobo2b3ob2o4bo
bo4bo17bobo2b3ob2o5b2ob3o2bobo$o4b2obob3obo2b2ob3o4b2o11bo4b2obob3o3b
3o2bobo16bo4b2obob3o3b3obob2o4bo$bobo2b3ob2o5b2ob3o3b2o13bobo2b3ob2o4b
obo4bo17bobo2b3ob2o5b2ob3o2bobo$b3o3bo17b3o13b3o3bo12b3o18b3o3bo13bo3b
3o$2bo39bo39bo23bo2$62bo$63b2o$64bo$65bo$10bo8b2o29bo39bo7bo$8bobo7b2o
bo26bobo37bobo7bobo$10bo8b3o28bo39bo7bo$7b3o10bo26b3o37b3o9b3o!
The leftmost nucleus is formed by the T, and by removing one of the orthogonal spaceships in the middle of its cycle it becomes the middle one. The rightmost is formed from a less common methuselah (obo$3o$obo!), and is D4_+1-symmetric. I will refer to these as the
typical nucleus,
delayed nucleus, and
symmetric nucleus.
If you try to "delay" the symmetric nucleus in the same way, it tries to construct two perpendicular nuclei via synthesis, and destroys itself, with three orthogonal spaceships fleeing the scene:
Code: Select all
x = 16, y = 3, rule = B3aijkr4nqz5jkqry6kn7c8/S2-i3aeiq4ejqrty5cijkq6-ai7
obo11b2o$3o11bo$obo!
What I really like about this rule is looking at the sorts of intricate structures that pop up. From a soup, here's a pattern that evolves into a cross-shaped † compound of 10 nuclei, with some escaping spaceships:
Code: Select all
x = 21, y = 21, rule = B3aijkr4nqz5jkqry6kn7c8/S2-i3aeiq4ejqrty5cijkq6-ai7
18bo$17b3o$18b3o$19bo5$10bo$9b3o$10b3o$11bo6$bo$3o$b3o$2bo!
Likewise, a cute heart-shaped ♥ compound of 4 nuclei:
Code: Select all
x = 45, y = 45, rule = B3aijkr4nqz5jkqry6kn7c8/S2-i3aeiq4ejqrty5cijkq6-ai7
2o41b2o$2o41b2o$2bo39bo41$2o41b2o$2o41b2o!
There are infinitely many still lifes in this rule, but their diversity is rather low. Only 11 have been observed in asymmetric soup so far, and here they are listed in rough frequency order:
Code: Select all
x = 70, y = 6, rule = B3aijkr4nqz5jkqry6kn7c8/S2-i3aeiq4ejqrty5cijkq6-ai7
2o4b2o4b2o4bobo4bo4b2o5bo4b2o2b2o4bo6bo8b2o$2o4b2o4b2o4b2obo2bobo2bo2b
o3bobo3b2o2b2o3bobo4bobo7b2o$4b2o2b2o4b2o4bo4bo3bo2bo2bo3bo4b2o4bo3bo
3bo2bo4b2o$4b2o2b2o4b2o4b2o8b2o4bobo5b2o5bo3bo3bobo4b2o$6b2o29bo14bobo
5bo3b2o$6b2o45bo10b2o!
Bi-blocks, tubs, and hooks can act as stable catalysts and are thus very useful in engineering:
Code: Select all
x = 67, y = 9, rule = B3aijkr4nqz5jkqry6kn7c8/S2-i3aeiq4ejqrty5cijkq6-ai7
16bo45b2o$62bo$15bobo12b2o28b2obo$bo12b2o14b2o8bo19bobo$obo6bo3bo26b2o
$bo6bo5b2o14b2o8bo23b2o$7b2o6bobo12b2o32b2o$6bo59bo$16bo!
Occasionally, a single block also suffices, including one very important instance which will be seen under the "Guns" section.
Oscillators
There are many elementary oscillators in this rule, a partial list of which is given below. Note that there are some low period oscillators that have appeared from apgsearch that aren't in this collection, because the searches were progressing while I was putting it together:
Code: Select all
x = 239, y = 195, rule = B3aijkr4nqz5jkqry6kn7c8/S2-i3aeiq4ejqrty5cijkq6-ai7
3o7b2o7b2o3b2o10bobo9b2o8b2o3bo56b3ob3o27b2o9b2o33b3ob3o$2bo7b2o6b4o2b
2o9b5o7b4o6b6o59bobobo27b2o9b2o10bo24bo3bo$3o9b2o4b4o4b2o6b2o3b2o6bo2b
o6b2ob3o57b3obobo3bo8bo62bob3o$o11bo6b2o5bo8bo3bo7bo2bo7b5o57bo3bobo3b
2o3b2o2bo5bo33bob2o5b2o12bobo$3o11b2o13bo4b2o3b2o4b2o4b2o5b3ob2o56b3ob
2o8bo2bo6bobo8bo2bo3bo2bo13bob2o5b2o12bob3o13b2o5b2o8bo$14b2o12b2o5b5o
5bo6bo5b6o66b2o3b2o2bo5bo8b6ob6o14b2o5b2o32bo4b3o6bobo$30b2o4bobo4b2ob
o4bob2o2bo3b2o67bo8bo15bo2bo3bo2bo54b2o5b2o8bo$30b2o11bobo6bobo2$182b
2o5b2o$3o10b2o6b2obob2o8bo2bo142b2o5b2obo21bobo$2bo10b2o5bo2b3o2bo8b2o
143b2o5b2obo21bobo$3o10b2o5bo2b3o2bo6b6o174bo$2bo7b3o2b3o3b2o3b2o7bo4b
o153bo$3o7b3o2b3o2b3o3b3o4b2o6b2o$13b2o6b2o3b2o3bobo8bobo$13b2o5bo2b3o
2bo3b2o8b2o$13b2o5bo2b3o2bo3b2o8b2o170b3o$21b2obob2o3bobo8bobo169b3o$
33b2o6b2o172bo$35bo4bo79b3obo$35b6o81bobo$37b2o81b3obo$36bo2bo80bo3bo$
120b3obo10bo20bo$134b3o18b3o$135b3o18b3o56bo$136bo20bo56bobo$215bo2$ob
o8b2o4b2o3bo2bo6b2o3bo9bo3b2o2b2o4b2o6bo4bo5b2o2b2o6bo2b2o2bo10bo2bo
50bo$obo7b3o3b3o4b2o7bo3bob2o7b2o3bo2bo5bo6b2ob2ob2o4bo4bo6b2ob2ob2o6b
o3bob2o28bo20b3o$3o8bobo3b2o11b2o5b3o5b3o5b2o4b2o7b2ob2ob2o2b2o6b2o2b
3o6b3o4b2obo3b3o25b3o20b3o$2bo7b2obo2b2obo2b4o4b2o5b2obo4bobo4b4o3bo2b
o6bo4bo3bo2b4o2bo3bo8bo3b3o2bo4bo27b3o20bo$2bobo18b2o3b2o9bo3b2o8b2o7b
o2bo15bo2bo20bo37bo$28bo14bo20b2o15bo2bo5b2o8b2o11b2o$63bo14bo2b4o2bo
2b2o8b2o2b2o9b2o$62b2o14b2o6b2o18b2o$80bo4bo5bo8bo14bo$80b2o2b2o4b3o6b
3o4bo4bo2b3o$92b2ob2ob2o5b3o3bob2o$92bo2b2o2bo7b2obo3bo$107bo2bo8$3o
13b2ob2o99b3ob3o$o16bobo102bo3bo$3o117b3ob3o12b2ob2obo2bo2bo$2bo14b3o
100bo3bo14b2ob2ob2o3b3o$3o14b3o100b3ob3o12b2ob2obo2bo2bo2$10bo6bobo6bo
$10b2ob2ob2ob2ob2ob2o$13b2o7b2o$10b2ob2ob2ob2ob2ob2o$10bo6bobo6bo93b3o
b2o$122bo3bo$17b3o100b3ob3o$17b3o100bo5bo$120b3ob3o$17bobo110b2o$16b2o
b2o109b2o4b2o3b2ob3o$136b2o3b2ob3o$130b2o4b2o3b2ob3o$130b2o$3o7bo10bo$
o9b2o3b2o3b2o$3o11bo2bo$obo7b2o3b2o3b2o$3o7bo10bo6$3o16bo100b3ob3o$2bo
15bobo101bobo$2bo16bo100b3ob3o20bo9bo$2bo117bo5bo19b4o5b4o$2bo117b3ob
3o20bo2b2ob2o2bo$149bobobobo$18b3o$18b3o$11bo4b2o3b2o4bo$10bobo3b2o3b
2o3bobo$11bo4b2o3b2o4bo$18b3o128bo5bo$18b3o127bobo3bobo$148bobo3bobo3$
19bo113bo37bo$18bobo111b3o35b3o$19bo113bo8b2o17b2o8bo$133bobo5bo21bo5b
obo$134bo7b2o6b2ob2o6b2o7bo$134b2o14b2ob2o14b2o2$134b2o14b2ob2o14b2o$
134bo7b2o6b2ob2o6b2o7bo$133bobo5bo21bo5bobo$133bo8b2o17b2o8bo$132b3o
35b3o$133bo37bo2$3o8bo2b2o4bo4bo4b2o4bo3b2o6b2o$obo7bobob2o3bobo2bobo
3b2o3bobo2b2o3bo2b2o98bobo3bobo$3o8bo2b2o4bo4bo4b2o4bo6bob2o101bobo3bo
bo$obo37b2o3bo2b2o99bo5bo$3o37b2o6b2o5$149bobobobo$ob3o32bo109bo2b2ob
2o2bo$obobo31bobo107b4o5b4o$obobo9b6o17bo109bo9bo$obobo8bo2b2o2bo$ob3o
7bo8bo$12bo8bo$12b2o6b2o$12b2o6b2o$12bo8bo14b3o$12bo8bo14b3o$13bo2b2o
2bo6bo6b2o3b2o6bo72b3ob3o$14b6o6bobo5b2o3b2o5bobo73bobo$27bo6b2o3b2o6b
o72b3ob3o$36b3o81bo3bobo$36b3o81b3ob3o3bo$130b2o3b2ob2o$134bo2b3o$130b
2o3b2ob2o$130bo2$37bo$36bobo$37bo8$obo7b2o108b3ob3o$obo7b2o5bo2bo101bo
bobo$obo13b2obobo98b3ob3o18bo$obo7b2o5bo2bo99bo3bobo38b2obo5bo$obo7b2o
109b2ob2o18bobo18b2ob2o3bobo$137bo4b2o2b2o17b2obo5bo$136b7o5bo$137bo4b
2o2b2o$144bobo2$ob3o6bo3bobob2o6bo117bo$o3bo5bobo2b3ob2o5bobo$ob3o6bo
3bobob2o6bo$obo152b3o$ob3o150b3o2$155b3o$156bo3$obo28bo6bo$obobo5b2o
19b2o4bobo116bo$ob3o5b2o3bo7bo6b2o6bo3b2o111bobo$o3bo8bob2o5bobo4bo12b
2o2bo2bo6bo99bo$o3bo5b2o3bo7bo3b3o16b4o5bobo$10b2o16bo13b2o2bo2bo6bo$
42b2o4$28bo91b3ob3o$27bobo92bobo$28bo91b3ob3o$122bo3bo$120b3ob3o3$139b
o2bobo2bobo2bo$139b4ob4ob4o$139bo2bobo2bobo2bo$ob3o$obo8bo7bo6bo7bo$ob
3o5bobo6b8o6bobo$o3bo6bo7bo6bo7bo$ob3o!
There is also a way to make an oscillator of every period 40n, by shuttling diagonal spaceships back and forth between nuclei, as seen in this p320 example, one of many:
Code: Select all
x = 91, y = 70, rule = B3aijkr4nqz5jkqry6kn7c8/S2-i3aeiq4ejqrty5cijkq6-ai7
11b3o3b3o$10b2obo3bob2o$11b3o3b3o$12bo5bo7$b2o11b3o11b2o$2obo10b3o10b
ob2o$b3o23b3o$2bo25bo2$14b3o$b3o23b3o$b2o11b3o11b2o$bo13bo13bo8$11b3o
3b3o$11b2o5b2o$11bo2bobo2bo$13bo3bo11$71b3o3b3o$70b2obo3bob2o$71b3o3b
3o$72bo5bo7$74b3o11b2o$74b3o10bob2o$87b3o$88bo2$74b3o$61b3o23b3o$61b2o
11b3o11b2o$61bo13bo13bo8$71b3o3b3o$71b2o5b2o$71bo2bobo2bo$73bo3bo!
These occur pretty often in larger soups, as a stray signal gets caught between two conveniently positioned nuclei. Interestingly, the nucleus acts itself as a sort of mostly-universal replicator - as long as the signal can cleanly eliminate its opposite. I think there's a way to do this with orthogonal spaceships, but it seems like a hassle.
There are also odd orbits of nuclei that exist, such as this p80 interaction with a block:
Code: Select all
x = 3, y = 16, rule = B3aijkr4nqz5jkqry6kn7c8/S2-i3aeiq4ejqrty5cijkq6-ai7
b2o$b2o12$o$2o$o!
One can also choose to shuttle the failed replicator, yielding this nice p80:
Code: Select all
x = 28, y = 28, rule = B3aijkr4nqz5jkqry6kn7c8/S2-i3aeiq4ejqrty5cijkq6-ai7
5b2o$5bo$3b2obo$3bobo5bo12b2o$10b3o12bo$11bo12bob2o$8bo16bobo$7b3o$8bo
3$19bo$18b3o$19bo$16bo$15b3o$16bo5$obo$2obo$2bo$2b2o18bobo$21bob2o$22b
o$21b2o!
Here comes the fun part. There are a very large amount of guns in this rule, that shoot either of the spaceships. Perhaps the simplest example is a period 40 double-barreled diagonal gun, which has a T+block predecessor. Here it is with one barrel capped off by a tub:
Code: Select all
x = 21, y = 10, rule = B3aijkr4nqz5jkqry6kn7c8/S2-i3aeiq4ejqrty5cijkq6-ai7
bo2bo3bo2bo$6o2b4o$bo2bo3bo2bo3$2o$2o$19bo$18bobo$19bo!
One might consider the p40 gun that results from removing the catalytic block simpler, though, as all it is is a nucleus with one of its "barrels" suppressed:
Code: Select all
x = 21, y = 10, rule = B3aijkr4nqz5jkqry6kn7c8/S2-i3aeiq4ejqrty5cijkq6-ai7
bo2bo3bo2bo$6o2b4o$bo2bo3bo2bo5$19bo$18bobo$19bo!
Or perhaps this one, which has a small T+tub predecessor:
Code: Select all
x = 9, y = 3, rule = B3aijkr4nqz5jkqry6kn7c8/S2-i3aeiq4ejqrty5cijkq6-ai7
o2bo3bo$4o2bobo$o2bo3bo!
Guns for the orthogonal ship are much less common, but one of the best examples are these two closely related p32 quad-shooters, which consist of almost nothing but 2x3 blocks in some phases:
Code: Select all
x = 57, y = 3, rule = B3aijkr4nqz5jkqry6kn7c8/S2-i3aeiq4ejqrty5cijkq6-ai7
b2ob2ob2ob2ob2o24b2ob2ob2ob2ob2ob2o$3ob2ob2ob2ob3o22b3ob2ob2ob2ob2ob3o
$b2ob2ob2ob2ob2o24b2ob2ob2ob2ob2ob2o!
There is also a natural p244 machine gun, which has a whopping 16 barrels:
Code: Select all
x = 14, y = 14, rule = B3aijkr4nqz5jkqry6kn7c8/S2-i3aeiq4ejqrty5cijkq6-ai7
2b2o$2b2o$2o2b2o$2o2b2o$2b2o$2b2o3$12bo$11b3o$12bo$9bo$8b3o$9bo!
It's probably not very useful, though, because of the high amount of barrels and the period being 2*2*61.
Here's a collection of other guns in this rule. A lot of the higher period oscillators can probably be gunned by modifying their sparks or putting two of them together, I haven't solved them all yet:
Code: Select all
x = 203, y = 168, rule = B3aijkr4nqz5jkqry6kn7c8/S2-i3aeiq4ejqrty5cijkq6-ai7
obo35b2o60b3ob3o17bo$obobo21bo7bo3b2o62bobo18bobo$ob3o20bobo5b2obo63b
3ob3o17bo$o3bo21bo7bo3b2o60bo5bo$o3bo33b2o60b3ob3o$20b2o$20b2o3bo$23bo
b2o$20b2o3bo$20b2o3$124bo$123b3o$124bo$123b3o5$130bobo$130b4o$122b2o6b
obo$122b2o7$3ob3o29bo$2bo3bo28bobo$3ob3o29bo$o5bo$3ob3o31bo$21bo7bo2bo
7bo$20bobo5b2o8bo$21bo7bo2bo2$21bo7bo2bo$20bobo5b2o70bobobo$21bo7bo2bo
67bobobobo$100b3ob3o$102bo3bo$102bo3bo$132bo$131b3o51b3o$132bo53bo$
132bo53bo$131b3o51b3o2$131b3o51b3o$186bo$131b3o51b3o$131b3o52bo3$187bo
$185b2o$185b3o$3ob3o25bo$2bobo26bo94bo$3ob3o23bob2o92b2o3b2o$o3bobo
117b2ob2o27bo$3ob3o116bo3bo27bobo23bo$20bo103b3ob2o4bo21bo23bo$20b2o3b
2ob2o96bo2b2o36b2o3b2obobob2o20bo$24bo2b3o98bo2b2o34b2o3b2obobo22bobo$
20b2o3b2ob2o18b2o77bo2bo36b2o3b2obobob2o20bo$20bo19bo2b2o3b2o76bobo51b
o$39b3ob3o135bo$40bo2b2o3b2o77bo3bo$48b2o3$129bo$128b3o$128b3o4$128b3o
$129bo$129bo$128b3o$128b3o15$obob3o21bo71b3ob3o$obobobo20bobo16b2o52bo
bobobo$3ob3o21bo11bo2bo2b2o52b3obobo$2bobobo33b4o56bobobobo$2bob3o33bo
2bo2b2o52b3ob3o$46b2o88bo$127bo6b2ob2o6bo$127bobo3b2o3b2o3bobo$20b2o
105bo7bobo7bo$20b2o2bo2bo100b3o3bo3bo3b3o$24b4o107bobo$20b2o2bo2bo$20b
2o$136bo$135b3o8b2obo$135b3o8b2obo2$135b3o8b2o$135b3o2$164b3o$165b2o$
135bobo11bo16b2o$129bo5b3o10bobo14b2o$128b3o3bo3bo8b2o15b3o$127b2obo3b
2ob2o7bo4bo$128b2o4b5o8bo2b3o$136bo12b3o2bo$150bo4bo$153b2o$151bobo$
152bo7$149bo4b2o$148bobo3b2o$3ob2o16bo2bo22b3o96b2o$o3bobo14bob2o23b2o
96bo4bo$3obobo14b5o3bo4b2ob2o8b3obo95bo2b3o$obobobo13b2o9bo2b2ob3o12bo
96b3o2bo$3ob3o14b5o3bo4b2ob2o8b3obo98bo4bo$21bob2o23b2o103b2o$22bo2bo
22b3o100bobo$152bo9$22bo2bo22b3o$21bob2o23b2o$21b5o3bo4b2ob2o8b3obo$
20b2o9bo2b2ob3o12bo$21b5o3bo4b2ob2o8b3obo$21bob2o23b2o$22bo2bo22b3o3$
49bo$48bobo$49bo!
Note that 14 is the minimum period for a stream of diagonal spaceships, and 17 for orthogonal.
Spaceships
There aren't many speeds known in this rule. The two basic spaceships are the only that have appeared naturally, but this p80 c/5 spaceship based on the failed replicator has been constructed from a natural rake (see later):
Code: Select all
x = 20, y = 63, rule = B3aijkr4nqz5jkqry6kn7c8/S2-i3aeiq4ejqrty5cijkq6-ai7
9b3o$9b3o$9b3o$6b3o$6b3o$6b3o$2bo$obo$2obo13b3o$ob2o13b3o$2b2o13b3o$3b
2o9b3o$2bobo9b3o$2bo11b3o$4bo$bo$bo2bo$2bo8b3o$b3o6bo3bo$10bobo$b3o6bo
2b2obo$2bo8bob2o2bo$2bo12bobo$b3o9bo3bo$14b3o$bob2o$3b2o10$3b2o$bob2o$
14b3o$b3o9bo3bo$2bo12bobo$2bo8bob2o2bo$b3o6bo2b2obo$10bobo$b3o6bo3bo$
2bo8b3o$bo2bo$bo$4bo$2bo11b3o$2bobo9b3o$3b2o9b3o$2b2o13b3o$ob2o13b3o$
2obo13b3o$obo$2bo$6b3o$6b3o$6b3o$9b3o$9b3o$9b3o!
There's probably some more that could be ntzfound, but I don't have it readily available right now.
Puffers
Two puffers are known, both are rakes based off of the failed replicator. The first is a single barreled orthogonal rake, found via soup search:
Code: Select all
x = 30, y = 51, rule = B3aijkr4nqz5jkqry6kn7c8/S2-i3aeiq4ejqrty5cijkq6-ai7
2bo$5o$2ob2o$o3bo19$16b3o$16b2o$13bo2bobo$12bobo$11b2ob2o4bo$10bo5bo4b
o2$13bo9bobo$12b3o9b2o$23b3o$12b3o$13bo2$12b3o$12b3o2$12b3o$12b3o11bo$
18b2o8bo$11bo3bob3obo5bo$11b2ob2o5bo3b2o2bo$11b5o4b2o2b3o$13bo10b2o$
22b2o$21b3o$18bo2b2o3bo$20bo$19bo$21bo!
Second is a p120 quad-barreled rake that shoots two sideways orthogonals and two frontward diagonals. This has also occurred naturally:
Code: Select all
x = 77, y = 95, rule = B3aijkr4nqz5jkqry6kn7c8/S2-i3aeiq4ejqrty5cijkq6-ai7
3bo$b2ob2o$2o3b2o6bo$b2ob2o6bobo$11b2ob2o$9bo7bo$11bo3bo2$42b3o15b3o$
41bo21bo$41bobo17bobo$41bo21bo12$30b3o$29bo3bo$29bobo31bo$29bo2b2obo
26b2o$30bob2o2bo4bo18b2o$34bobo4bobo20bo$32bo3bo4bo19b3o$33b3o6b3o16b
2obo$22b3o13b3o29b3o$21bo3bo11bo3bo27bo3bo$21bobo13bobo29bobo$21bo2b2o
bo9bo2b2obo15bo9bo2b2obo$22bob2o2bo9bob2o2bo11bo13bob2o2bo$26bobo13bob
o10b2o17bobo$24bo3bo11bo3bo12bo14bo3bo$25b3o13b3o29b3o$30b3o29b3o$29bo
3bo27bo3bo$29bobo29bobo$b2ob2o23bo2b2obo25bo2b2obo$2o3b2o23bob2o2bo25b
ob2o2bo$b2ob2o28bobo29bobo$3bo28bo3bo27bo3bo$33b3o29b3o2$33b3o29b3o$3b
o28bo3bo27bo3bo$b2ob2o28bobo29bobo$2o3b2o23bob2o2bo25bob2o2bo$b2ob2o
23bo2b2obo25bo2b2obo$29bobo29bobo$29bo3bo27bo3bo$30b3o29b3o$25b3o13b3o
29b3o$24bo3bo11bo3bo12bo14bo3bo$26bobo13bobo10b2o17bobo$22bob2o2bo9bob
2o2bo11bo13bob2o2bo$21bo2b2obo9bo2b2obo15bo9bo2b2obo$21bobo13bobo29bob
o$21bo3bo11bo3bo27bo3bo$22b3o13b3o29b3o$33b3o6b3o16b2obo$32bo3bo4bo19b
3o$34bobo4bobo20bo$30bob2o2bo4bo18b2o$29bo2b2obo26b2o$29bobo31bo$29bo
3bo$30b3o12$41bo21bo$41bobo17bobo$41bo21bo$42b3o15b3o2$11bo3bo$9bo7bo$
11b2ob2o$b2ob2o6bobo$2o3b2o6bo$b2ob2o$3bo!
Here are all two-ship syntheses. There are a lot of tricky overunities and even more typical nucleus syntheses:
Code: Select all
x = 361, y = 405, rule = B3aijkr4nqz5jkqry6kn7c8/S2-i3aeiq4ejqrty5cijkq6-ai7
2o34bo17bo8bo6b3o13b3o11b3o17b3o17b3o37b3ob3o31b3o$2o34b2o14b2o7b2o8b
2o14b2o12b2o18b2o18b2o39bob2o32b2o$36b3o13bo8bo10b2o14b2o12b2o18b2o18b
2o36b3obobo30b2o$51bo8bo10b2o14b2o12b2o18b2o18b2o37bo6bo30b2o$33bo36b
3o13b3o11b3o8bo8b3o17b3o37b3o5bo29b3o$31b2o76b2ob2o96b3o$31bo18b3o9b3o
43b2o3b2o96b2o$30bo19b2o10b2o45b2ob2o98b2o$50bo11bo13bo3b3o38b3o18b3o
66b2o$75b3o5bo35bobobobo14bobobobo63b3o$74b2obo3bobo35bo5bo14bo5bo$75b
2o6bo35bobobobo14bobobobo9$bo36b3o9b2o35b3o10bo2bo29bo2bo$obo35b2o11bo
49b2o28b2o4b2o$bo35b2o11bob2o32b2obo41bo6bo$38b2o11bobo32bo13b4o26bo8b
o$38b3o45b2obo11b2o2$30b3o47b3o4b3o$31b2o48b2o$32b2o48b2o$31b2o48b2o$
30b3o47b3o10$3o35b2o13bo19bo9bo25bo17b3o19bo$o36b2obo10b2o18b2o8b2o25b
o17bo21b3o$3ob2o32b3o10bo19bo9bo25b2o11b3o3bobo11b3o5bobo$o3bobo26bo5b
o10bo19bo9bo19b3o3bo14b2o3bo14b2o4bo$o3bo26b2o68b2o19b2o18b2o4bobo$31b
o70b2o17b2o18b2o5b3o$30bo28bo10b3o28b2o17b3o17b3o6bo$58bo11b2o14b3o11b
3o$57b2o11bo15b2o$56bo29bo$180b2o4b2o22b3o19b3o5b3o17b3o27b3o17b3o17b
3o17b3o$182bo2b2o24b2o20b2o6b2o18b2o28b2o18b2o8bo9b2o18b2o$180b3ob5o
23b2o20b2o6b2o18b2o28b2o18b2o5b2ob2o8b2o18b2o$180bo4b2o24b2o20b2o6b2o
18b2o28b2o18b2o5b2o3b2o6b2o18b2o$180b3o3b2o22b3o19b3o5b3o17b3o27b3o17b
3o6b2ob2o6b3o17b3o4$213bo17bo13bo19b3o28bo37b3o19b3o$212b3o15b3o11b3o
21bo25b5o33bobobobo15bobobobo$211b2obo15bob2o10bob2o18bobo25b2ob2o33bo
5bo15bo5bo$212b2o17b2o12b2o21bo25bo3bo33bobobobo15bobobobo9$3o30bo16b
3o18b3o10b3o3b3o17b3o8bo15b3o$2o29b2o18b2o19b2o11b2o4b2o18b2o6b2ob2o$o
bo28bo20b2o19b2o11b2o4b2o18b2o4b2o3b2o11b2obo$3bo26bo20b2o19b2o11b2o4b
2o18b2o6b2ob2o12bo$4bo45b3o18b3o10b3o3b3o17b3o23b2obo$130b3o$38bo62bo
29b2o4b3o$37b3o59b2ob2o28b2o$36b2obo18bo13bo8bo16b2o3b2o26b2o$37b2o18b
o13b3o6b3o16b2ob2o26b3o$56b2o12b2obo6bob2o$55bo15b2o8b2o9$2b2o26b3o17b
3o27b3o17b3o$b2o28b2o18b2o28b2o18b2o$5o27b2o18b2o28b2o18b2o$b2o28b2o
18b2o28b2o18b2o8bo$2b2o26b3o17b3o27b3o17b3o6b2ob2o$108b2o3b2o$39bo69b
2ob2o$38bo$37b2o13bo36bo$36bo14b3o33b2ob2o$51bob2o31b2o3b2o87b3o3b2o
22b3o17b3o17b3o$52b2o33b2ob2o90bo2b2o24b2o18b2o18b2o$180b3ob5o23b2o18b
2o18b2o$182bo2b2o24b2o18b2o18b2o$180b3o3b2o22b3o17b3o17b3o3$261bo$212b
3o21bo22b2ob2o$215bo18b2ob2o19b2o3b2o$3o30bo6b3o12b3o20bo20bo17b3o93bo
bo17b2o3b2o19b2ob2o$2bo28b2o8b2o13b2o19b3o10b3o5b3o9b3o102bo18b2ob2o$
3o28bo10b2o13b2o18bobo11b2o5bobo10b2o3b2obo$o3b2o24bo10b2o13b2o18bo15b
2o3bo14b2o2bo$3ob2o34b3o12b3o19bobo11b2o5bobo10b2o3b2obo$77b3o10b3o5b
3o9b3o$78bo20bo17b3o$35bo$34bo10b3o3bo18b3o$33b2o9bo5b3o18b2o$32bo11bo
bo3bob2o18b2o$44bo6b2o18b2o$70b3o18$180bo3b3o30bo15bo9bo19bo6b3o17b3o
17b3o17b3o25bo$180bobob2o31b2o12b2o8b2o18b2o8b2o18b2o18b2o5bo12b2o24b
3o$180b3obobo30b3o11bo9bo19bo10b2o18b2o18b2o3b3o12b2o23bobo$182bo4bo
25bo16bo9bo19bo10b2o6bo11b2o18b2o3b2obo11b2o23bo$182bo5bo22b2o57b3o5bo
11b3o17b3o4b2o11b3o24bobo$211bo65b2o78b3o$210bo20b3o12b3o16bo10bo21bo
59bo$231b2o13b2o16b3o30b3o50b3o$231bo14bo16b2obo29b2obo35b3o13b2o$264b
2o31b2o37b2o14b2o$o2bo32bo39bo41b2o33bo183bo13b2o$2obo33b2o37b2o39b2ob
o30b2o197b3o$ob2o34bo37b3o39b3o30bo$o2bo2bo32bo33bo45bo30bo$o2bob3o63b
2o40bo$6bo26bo37bo39b2o$6bo24b2o37bo40bo42b3o$31bo78bo43b2o$30bo123bo
22$180b3ob3o3b3o3b2o12b3o17b3o$182bob2o6bo2b2o14b2o18b2o$180b3obobo4b
2ob5o13b2o18b2o$180bo6bo2bo4b2o14b2o18b2o$180b3o5bob3o3b2o12b3o17b3o3$
231bo$213bo17b3o$212bo19b2o$39bo30b3o37b3o37b3o58b2o20bo$30b3o5bo32b2o
38b2o38b2o57bo$31b2o4b2o33b2o38b2o38b2o$32b2o2bo34b2o38b2o38b2o$31b2o
37b3o3b3o31b3o37b3o$30b3o43b2o$76bo$158bo$112bo44b3o$111b3o42b2obo$
110b2obo43b2o$111b2o19$180bobo3b2o22b3o$180bobo2b2o24b2o$180b3ob5o23b
2o$182bo2b2o24b2o$182bo3b2o22b3o4$220bo$218b2ob2o$30b3o37b3o5bo39bo31b
3o64b2o3b2o$31b2o38b2o4b3o37b3o31b2o65b2ob2o$32b2o4bo33b2o2b2obo30b3o
3b2obo32b2o$31b2o4b3o31b2o4b2o32b2o4b2o32b2o$30b3o3b2obo30b3o39b2o36b
3o$37b2o72b2o$110b3o$157b3o$156bo$156bobo$156bo20$180b3ob2ob3o3b2o17b
3o$182bob2o3bo2b2o19b2o$180b3o4b3ob5o18b2o$182bo4bo4b2o19b2o$180b3o4b
3o3b2o17b3o4$212b3o$210bobobobo$30b3o38b3o37b3o37b3o56bo5bo$31b2o39b2o
38b2o38b2o56bobobobo$32b2o39b2o38b2o38b2o$31b2o39b2o38b2o38b2o$30b3o
38b3o37b3o37b3o4$33b3o36bo41bo41bo$34b2o34b5o37b5o37b5o$35bo34b2ob2o
37b2ob2o37b2ob2o$70bo3bo37bo3bo37bo3bo19$180bo3b3o3b3o3b2o23b3o$180bob
ob2o6bo2b2o24b2o$180b3obobo4b2ob5o21b2o$182bo4bo2bo4b2o24b2o$182bo5bob
3o3b2o23b3o4$210b3o$211b2o$30b3o46bo37b3o92b2o$31b2o45b3o130b2o$32b2o
44bobo35b2obo90b3o$31b2o44bo38bo$30b3o45bobo35b2obo$78b3o$70b3o6bo37b
3o$71b2o37b3o$34bo37b2o37b2o$32b2ob2o34b2o39b2o$31b2o3b2o32b3o38b2o$
32b2ob2o73b3o29$o2bo5b3o18b3o39b3o$2obo5b2o20b2o40b2o$ob2o5bobo20b2o
40b2o$o2bo2bo5bo18b2o40b2o$o2bob3o5bo16b3o39b3o$6bo$6bo2$33b3o$32bo37b
3o$32bobo36b2o$32bo39bo29$o2bo5b2o4b2ob3o17bo$2obo7bo2b2o2b2o17b3o$ob
2o5b3ob4obobo16bobo$o2bo2bo2bo4b2o5bo14bo$o2bob3ob3o3b2o5bo14bobo$6bo
30b3o$6bo31bo4$30b3o$31b2o$32b2o$31b2o$30b3o!
Additionally, here are some three-ship collisions for xs10_4ah2k8zx1, blocktie, pond, delayed nucleus, symmetric nucleus, and one that creates five orthogonals:
Code: Select all
x = 135, y = 61, rule = B3aijkr4nqz5jkqry6kn7c8/S2-i3aeiq4ejqrty5cijkq6-ai7
7bo15bo19bo36b3o39b3o$7b2o12b2o18b2o38b2o40b2o$7b3o11bo19bo40b2o40b2o$
20bo19bo40b2o40b2o$3bo76b3o39b3o$b2o45bo$bo27bo16b2o$o26b2o17bo$27bo
17bo$26bo$84bo37b3o$83b3o8bo25bobobobo7bo$52b3o27b2obo7b3o24bo5bo6bo$
33b3o16b2o29b2o7b2obo24bobobobo5b2o$11b3o19b2o17bo40b2o36bo$10bo22bo$
10bobo$10bo33$10bo$10b2o$6bo3b3o$4b2o$4bo$3bo3$3o$b2o$2bo!
If you read this whole post, thank you. It took over 8 hours to write. Let me know if I missed anything or something new comes up.
EDIT: p40 ortho->diag:
Code: Select all
x = 40, y = 37, rule = B3aijkr4nqz5jkqry6kn7c8/S2-i3aeiq4ejqrty5cijkq6-ai7
8bo$7bobo$8bo2$12bo$10bob2o$bo2b2o3bobobo$obob3o7bo$bo2b2o3bobobo$10bo
b2o$12bo4$6bo$5bobo$6bo17$39bo$38bo$37b2o$36bo!
There are many 3 diag -> 1 ortho via interrupting a nucleus, but here is the first one I found:
Code: Select all
x = 17, y = 16, rule = B3aijkr4nqz5jkqry6kn7c8/S2-i3aeiq4ejqrty5cijkq6-ai7
13bo$14b2o$15bo$16bo2$10bo$8b2o$8bo$7bo4$o$bo$b2o$3bo!
3 diag -> big tub:
Code: Select all
x = 26, y = 27, rule = B3aijkr4nqz5jkqry6kn7c8/S2-i3aeiq4ejqrty5cijkq6-ai7
23b2o$22b2obo$23b3o$18bo5bo$16b2o$16bo$15bo17$3o$3bo$bobo$3bo!
