silversmith wrote: ↑July 28th, 2023, 4:50 pm
Cyclotrons wrote: ↑July 28th, 2023, 11:57 am
Partial for more useful G to X:
Code: Select all
x = 31, y = 23, rule = B3aijn4cw5cek6n/S2-in3-ky4ejntwy5ijnr6cen7c
7b2o$ob2ob3o4bo$2obobobo3bobo$6bo5bo4bo$16bobo$17bo$23bo$22bobo$23bobo
$24bo4bo$28bo$28b3o7$19bo$17b3o3bob2o$18bo4b2obo$18b4o$17b2o2bo!
[[ THEME Golly ]]
There are some conduits which can take the object produced by that partial directly to prevent it's self destruction(example shown in yellow)
Code: Select all
x = 48, y = 24, rule = B3aijn4cw5cek6n/S2-in3-ky4ejntwy5ijnr6cen7cHistory
7.A$6.A.A15.2A$7.A9.A.2A.3A4.A$17.2A.A.A.A3.A.A$23.A5.A4.A$33.A.A$21.
D12.A$19.2D19.A$19.3D17.A.A$19.2D19.A.A$.A19.D19.A4.A$A.A42.A$.A14.E3.
E24.3A$15.E.E.E.E$16.E3.E5$36.A$34.3A3.A.2A$35.A4.2A.A$35.4A$34.2A2.A!
Then removing the (5,2)c/18 signal segments makes it into a working conduit with repeat time 39.
Code: Select all
x = 19, y = 18, rule = B3aijn4cw5cek6n/S2-in3-ky4ejntwy5ijnr6cen7cHistory
4.A$3.A.A5.A$4.A5.A.A$11.A.A$2.D9.A4.A$2D14.A$3D13.3A$2D$2.D5$7.A$5.3A
3.A.2A$6.A4.2A.A$6.4A$5.2A2.A!
New adjustable gun. Similar to the last one; adjust the highlighted portions diagonally. Possible periods are
(377 + 8d) mod p = 0 where p >= 39. Frustratingly, only odd periods work this time.
Code: Select all
x = 62, y = 46, rule = B3aijn4cw5cek6n/S2-in3-ky4ejntwy5ijnr6cen7cHistory
29.2C$28.C2.C$20.A2.2A2.C.3C$20.4A4.C.C2.C$15.A.2A4.A5.2C.2C$15.2A.A
3.3A$22.A9$17.A$3.2A11.A.A$4.A12.A4.A$.2A10.2A6.A.A$A.3A8.A8.A$A.A.A
9.A$.A.A9.2A$2.A20.A$22.A.A$23.A2$41.2A$34.A.2A.3A$11.A22.2A.A.A.A5.A
11.C$10.A.A27.A5.A.A9.C.C$11.A35.A.A7.C.C.C$8.A39.A8.3C.C$7.A.A49.2C$
8.A48.C$57.2C3$24.A8.A3.A9.A$23.A.A6.A.A.A.A7.A$19.A4.A8.A3.A8.3A$18.
A.A22.A$3.A.2A12.A21.3A3.A.2A$3.2A.A35.A4.2A.A$14.A27.4A$13.A.A25.2A
2.A$14.A!
If we had an rt39 color-preserving glider delay circuit that delayed a glider by an odd number of generation, then all periods above 39 would be accessible. Good thing we do, in fact, have one:
Code: Select all
x = 57, y = 46, rule = B3aijn4cw5cek6n/S2-in3-ky4ejntwy5ijnr6cen7c
25b2o$24bo2bo$24b3obo$22bo2bobo$22b2ob2o3$31b2o$31bo$33b2o$31b3obo$31b
obobo$32bobo$33bo3$31b2o$29b3o$29bobo5bo8bobo$30bo5bobo7b2o$37bobo7bo$
38bo$2bo$bobo$obobo$ob3o8b2o$b2o10bo2bobobobobo$4bo10bobobobobobo11bo
17bo$3b2o11bo7bo11bo17bo$36b3o15b3o$33bo$31b3o3bob2o$32bo4b2obo$32b4o$
31b2o2bo5$28bo$27bobo$26bobobo$26b3obo$28b2o$26bo$26b2o!
[[ THEME Golly ]]
Delays the glider by 199 generations.
Guns exist for all periods 39+.
-
This fills in periods 39, 40, 42, 44, 45, 46, 48, 52, and 60.
The gun periods remaining are 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 29, 33, 34, 35, 37, and 38.
Here's somewhat of a long shot: If we find a low rt G to W and a W to 2G (a la the p18 gun), we'd have all gun periods >= 18. I doubt this is possible, though, since you'd also need an odd-generation rt18 glider delay mechanism at the very least, and quite possibly an rt18 color changer as well.