I decided to revisit this rule as I remembered it being one of the most interesting von Neumann rules from the early OCA era.
It appears that certain stable structures may be completely indestructible. I'm not sure exactly how to proof this, but for a structure with only S2 and S3 to crumble, at least 1 cell would have to have a 4th neighbour, which I'm certain is impossible for examples like this:
Code: Select all
x = 66, y = 6, rule = B1x2_S23V
.2A18.3A17.3A17.4A$4A16.2A.2A15.2A.2A15.2A2.2A$A2.A16.A3.A15.A3.A15.A
4.A$4A16.2A.2A15.A3.A15.A4.A$.2A18.3A16.2A.2A15.2A2.2A$41.3A17.4A!
Another interesting thing about this rule is its weird, pseudo-failed replicator. There's some special property it has where, under circumstances, it seems to almost always converge to a specific c/2 puffer, or die out. I'm not sure what causes this. Here it turns into that puffer:
Code: Select all
x = 6, y = 4, rule = B1x2_S23V
2.2A.A$2.2A$3A$2A!
Nevertheless there are countless spaceships and puffers based off of it, travelling at 3c/17. Here's a p34 spaceship:
Code: Select all
x = 29, y = 29, rule = B1x2_S23V
24.B$12.B12.B$22.B$10.2A2.B7.B3A$10.3A9.B2A$11.2A4.2A3.B3A$16.B.A4.B.
3A$4.B10.A2.A.B5.2A$3.B2.A10.2A6.BAB$3.5A5.BA.2A2.A4.B.B$3.A3.B5.BA.A
2.B.B4.A$4.B.B8.2AB2.B$15.2B2$7.2B.B9.2B$6.B.A2.A7.B2A$8.A.2A3.A.B2.
4A$7.2A2.A2.B4.2A2.A$6.2A2.B3.BAB2.A2.B$.B2A.2A7.2A4.B$B.4A8.3A.2B$.A
2B2A10.3AB5.BAB$10.2B5.2AB5.3AB$9.B.A4.3AB.B2.2A.AB$8.B2.2AB5.BA2.2A$
7.B5.B2.B3.2A.A2.B$7.B2A2.B4.B2.5A$9.A.B10.2AB$9.2B11.2B!
It turns out that this rule is just barely apgsearchable. When set to 1000 soups, sometimes hauls get rejected for too few objects, and sometimes RAM issues happen that require a restart. Despite this, I've managed to submit
4 hauls for the rule.
I initially thought oscillators with periods not divisible by 3 were impossible. However, manual experimentation led me to this p10 predecessor:
Code: Select all
x = 6, y = 6, rule = B1x2_S23V
3.2A$2A.2A$2A$4.2A$.2A.2A$.2A!
Running NBSearch with periods divisible by 3 blacklisted got me 6 more periods (although I didn't search for very long):
Code: Select all
x = 119, y = 208, rule = B1x2_S23V
A.3A$A.A.A$A.A.A$A.A.A63.2A2.2A$A.3A21.3BA16.2A.2A16.3A.2A.B$26.4A13.
B2.2A.2A2.B11.B2.3A.A$24.3A2.2AB10.B2.3A.3A2.B9.A2.2A.4A.A$24.BA.2A.A
B13.A.A.A.A12.4A2.2A.4A$24.BA.2A.AB10.B2.A.A.A.A2.B10.A.3A4.3A$24.B2A
2.3A12.2A.A.A.2A13.2A.3A.2A$26.4A12.3A2.A.A2.3A9.3A4.3A.A$26.A3B12.6A
.6A9.4A.2A2.4A$65.A.4A.2A2.A$42.6A.6A13.A.3A2.B$42.3A2.A.A2.3A11.B.2A
.3A$44.2A.A.A.2A14.2A2.2A$42.B2.A.A.A.A2.B$45.A.A.A.A$42.B2.3A.3A2.B$
43.B2.2A.2A2.B$46.2A.2A10$A.3A$A3.A$A.3A$A3.A21.B.B$A.3A18.B7.B$22.A
2.2A.2A2.A$22.5A.5A2$22.5A.5A$22.A2.2A.2A2.A$23.B7.B$26.B.B19$A.3A$A.
A$A.3A19.B2.2B$A.A.A18.B.2B2A$A.3A20.B.A.2A$23.B.6A2$23.B.6A$25.B.A.
2A$23.B.2B2A$24.B2.2B20$3A.3A$2.A3.A$3A.3A47.2B24.2A$A3.A48.B2AB22.4A
$3A.3A23.2A21.B2AB22.4A$29.B2AB47.2B$30.2A21.B2.B$28.B4.B46.2B$26.B3.
2A3.B11.2A5.2A5.2A17.2A28.3B.3B$25.B2.B4AB2.B11.A2.B.4A.B2.A17.4A27.
3A.3A$25.B2A.A2.A.2AB8.A2.2A.3A2.3A.2A2.A13.2A2.2A24.B2A.3A.2AB$25.B
10AB8.A2.2A.3A2.3A.2A2.A6.2A4.2A4.2A4.2A17.BA2.3A2.AB$48.A2.B.4A.B2.A
8.3AB.B2A6.2AB.B3A16.B4A.4AB$25.B10AB10.2A5.2A5.2A7.3AB.B2A6.2AB.B3A
18.2A3.2A$25.B2A.A2.A.2AB34.2A4.2A4.2A4.2A17.B4A.4AB$25.B2.B4AB2.B16.
B2.B21.2A2.2A24.BA2.3A2.AB$26.B3.2A3.B43.4A25.B2A.3A.2AB$28.B4.B19.B
2AB23.2A28.3A.3A$30.2A21.B2AB23.2B28.3B.3B$29.B2AB21.2B$30.2A48.2B$
79.4A$79.4A$80.2A7$2A2.A.A$2.A.A.A$3A.3A$2.A3.A$3A3.A2$28.2A$24.BA2B
2A2BAB$23.B3A.2A.3AB$23.B3A.2A.3AB$24.BA2B2A2BAB$28.2A19$A.A.3A$A.A.A
.A$3A.A.A$2.A.A.A$2.A.3A2$26.B.B2$24.3A.3A$24.3A.3A$25.2B.2B20$3A.3A$
A.A3.A$3A.3A$A.A3.A$3A.3A9$34.3B7.3A$33.3A.B5.4AB$33.3A8.3AB$33.4A6.
2A2.B$34.A.2A2.A.2A2.B$37.2A.3A$38.4A$37.3A.3A$39.4A$38.3A.2A$34.B2.
2A.A2.2A.A$33.B2.2A6.4A$33.B3A8.3A$33.B4A5.B.3A$34.3A7.3B!
I think a few are gunnable, but the p83 on the bottom looked especially promising. Sure enough, here's a p83 gun, possibly the first gun not divisible by 3, although I'm not sure how much off-site development this rule has had:
Code: Select all
x = 46, y = 21, rule = B1x2_S23V
.3B7.3A$3A.B5.4AB$3A8.3AB$4A6.2A2.B$.A.2A2.A.2A2.B27.3B$4.2A.3A20.B2A
8.3AB$5.4A20.B3AB5.B3.2A$4.3A.3A18.BA.A8.4A$6.4A19.BA.2A3.B2.2A.B$5.
3A.2A22.2A.B2.2A$.B2.2A.A2.2A.A17.B2.2A.3A$B2.2A6.4A20.4A.B$B3A8.3A
18.B.2A.2A.B$B4A5.B.3A19.B.4A$.3A7.3B21.3A.2A2.B$34.2A2.B.2A$31.B.2A
2.B3.2A.AB$30.4A8.A.AB$30.2A3.B5.B3AB$30.B3A8.2AB$31.3B!
I will keep experimenting with this rule and posting my findings.
EDIT: ~~6c/54 diagonal:~~ (Known from Sphenocorona in the other thread)
Code: Select all
x = 15, y = 15, rule = B1x2_S23V
10.3B$9.B.2AB$11.2A$12.3A$10.B2.2A2$12.B3$.B$B3.B$B2A$B3A2.B$.B.2A$3.
2A!