For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
pew
Posts: 9
Joined: May 8th, 2020, 7:58 pm

quadpole on quadpole synthesis. 11G and 10G. bottom one based on the known quadpole on ship synthesis. The top one can be used to stack quadpoles indefinitely i guess.

Code: Select all

x = 86, y = 100, rule = B3/S23
7$55bo$55bobo$55b2o$35bo$33bobo$34b2o$47bo$47bobo$41bo5b2o$31b2o8bobo$31bobo7b2o$32b2o3$38bo$38b2o$37bobo4$42b2o$42bobo$43b2o43$50bo$48bobo$49b2o4bo$54bo$54b3o2$52bo$53bo$4bo3bobo4b2o34b3o$2bobo3b2o5bobo$3b2o4b
o5bo46b2o$62bobo$63b2o$65b2o$4b3o58bobo$4bo61b2o$5bo$76b3o$76bo$77bo2$
73b3o$75bo$74bo4b2o$79bobo$79bo!

Jormungant
Posts: 268
Joined: May 27th, 2016, 1:01 am

I think kazyan is the one that used the following trick to make a p70 gun, just mentionning that the p8 version works too:

Code: Select all

x = 43, y = 44, rule = LifeHistory
2$14.3B$13.B2AB$13.B2ABA$3.B9.4B.A$3.2B10.A.4B$3.3B10.AB2A2B$3.4B10.B 2A2B$4.4B9.3B$5.4B9.2B$6.3BA10.B3.B$7.ABAB4.2B.3B2.5B$8.2A2B2.7B.5B$9.4B.13B.B$10.17B.3B$10.17B.3B$10.17B.3B$9.18B$8.19B$7.2A19B$7.2A19B$8.17B$9.4BA11B$9.4BA13B$10.6BABA10B$9.8B2A10B$8.9BA12B$8.21B$9.5B2AB
2A10B.2B$4.2A3.5BA3BA9B2.BAB$4.A3.6BA3BA6B3.5B$6.A.2AB.3BABA8B2.BAB3A$5.2AB2AB5.A2.B2.B2AB3.2B2A.A$8.B6.3B5.2A6.A.2A2B$5.2A.2A5.B2AB13.3AB
AB$6.A.A7.2A15.5B$6.A.A24.BAB$7.A26.2B! Tried to make some compact double barrel gun with that, but to no avail... GUYTU6J Posts: 1259 Joined: August 5th, 2016, 10:27 am Location: 拆哪！I repeat, CHINA! Contact: ### Re: Thread for your unsure discoveries Random bait reaction delivery: HWSS + loaf → Herschel + 2G + LoM with catalytic eater. Code: Select all x = 34, y = 21, rule = LifeHistory 13.3D$15.D$14.D$10.2A$9.A2DA$9.DADA$9.D.C$9.2D$2.2A$A4.A25.D$6.A24.D. D$A5.A24.3D$.6A26.D3$.D$D$3D5.2A$9.A$6.3A$6.A! Now time to do real-life academic stuff... Off-topic: please help write the Star Wars article on LifeWiki, in case someone didn't notice the Tiki bar and the thread. Lifequote: 原来姹紫嫣红开遍，似这般都付与断井颓垣…… 只恐你来得~去不得！ Chuangtse wrote: What we love is the mystery of Life. What we hate is corruption in death. But the corruptible in its turn becomes mysterious life, and this mysterious life once more becomes corruptible. Extrementhusiast Posts: 1869 Joined: June 16th, 2009, 11:24 pm Location: USA ### Re: Thread for your unsure discoveries dr2 found the following eater that isn't in the stamp collection: Code: Select all x = 14, y = 12, rule = B3/S23 10b2o$3bo5bobo$bobo5bo$2b2o4b2o$5b2o$4bo2b3o$3bobo4bo$b3obob2obo$o4bo 2bobob2o$b3obobo2bob2o$3bob2o3bo$9b2o!
I Like My Heisenburps! (and others)

nokangaroo
Posts: 46
Joined: February 16th, 2017, 6:21 pm

Smaller p46 and p60 edge shooters

Based on honeyfarm syntheses.
For higher periods there are conduits that take a Herschel as input (HSW47T214 with a repeat time of 127, HNE-27T176 with a repeat time of 134).

p46:

Code: Select all

x = 63, y = 64, rule = LifeHistory
15.B.9B.B$13.2BA3B2A9B.B$12.B2ABAB3A12B$11.2BA4B3A12B2.B.6BA2B.B3.4B$
10.A2BA3BA25BA2B2A2B.4B$8.3A3B3A25BA5BA5B2A$7.A23.12BABA2B2A4B2A$6.A. 3A3B3A26BA3B2A4B.B$5.A.A2.A2BA3BA27B3A5B$5.A.A3.2BA4B3A12B$4.2A.2A3.B
2ABAB3A10B.13B3A5B$3.3B.3B3.2BA3B2A22BA3B2A4B.B$2.BA2B.2BAB4.B.8BA3B
2.12BABA2B2A4B2A$.B3AB.B3AB12.BABA3.11BA5BA5B2A$.2A2BA.A2B2A11.2B2A6.
10BA2B2A2B.4B$B2AB2A.2AB2AB9.4B9.B.6BA2B.B3.4B$.3B2A.2A3B9.4B$2BABAB. BABA2B7.4B$BA2BAB.BA2BAB6.4B$4BAB.BA4B5.4B$BABA2B.2BABAB4.4B$2BA3B.3B A2B3.4B$6B.6B2.4B$6B.6B.A3B$6B.2BA3BA3B$6B.BABA2B3A5.2A$.5B.8B5.B2AB$6BA5BA3B5.4B$.8BA7B5.2B$.5B2A3B2A.4B3.3B$2.4B.5B3.4B.5B5.2A$13B3.5B3A 2B4.A$6B.5B5.3BA3BAB.BA.A$4B2.2A3B2A5.BA5BA.B2A8.2A$2B2AB.3BA3B3.2BA
3BA3BAB6.A.A2.A$2.2A2.A5BA3.2BA2BABA2BAB4.3A.2A$8.3B5.2BA3BA3BAB3.A4.
B$8.ABA3.2AB.BA5BA3B3.3AB2AB3.B.9B.B3.A2BA$9.A3.A.AB3.A3BA5B4.A.2AB.
8B3A6B.A3B$13.A6.B3A2B.4B5.11BA4BA9BA$12.2A5.5B4.4B6.8BA5BA8B2A$19.6B 4.4B4.10BA8BA3B.B$18.6B6.4B2.12B2A8B2A$14.B2.3BA3B7.2B2A.6B$12.7BABA
2B8.BABA12B2A8B2A$12.7BABA2B9.A13BA8BA3B.B$11.9BA3B10.12BA5BA8B2A$11. 11B.B2A9.12BA4BA9BA$12.9B2.BA.A9.12B3A6B.A3B$12.7B7.A12.2B.B.9B.B3.A 2BA$13.3BA2B7.2A11.2B$14.ABAB16.3B.B.3B.9B.B3.4B$15.2A2B15.10B2A11B.
4B$16.4B12.11BABA15B2A$17.4B10.11B2ABA15B2A$18.4B10.11B2A15B.B$19.4B
11.10BA15B$20.4B10.3B.B.3B$21.4B12.7BA15B$22.4B9.B.6B2A15B.B$23.4B7.
2A6B2ABA15B2A$24.3BA6.2A7BABA15B2A$25.3BA6.4B.4B2A11B.4B$26.3A6.4B3.B .9B.B3.4B! Code: Select all x = 75, y = 76, rule = LifeHistory 6.A4.4B$5.A.A4.4B$5.A.A5.4B$4.2A.2A5.4B$3.3B.3B5.4B$2.4B.4B5.4B$.5B. 5B5.4B$.5B.5B6.4B$6B.6B6.4B$.5B.5B8.4B$6B.6B8.4B$6B.6B9.4B$6B.6B10.4B$6B.6B11.4B$6B.6B12.4B$6B.6B13.4B$2BA3B.3BA2B14.4B$B4AB.B4AB15.4B$BA 3BA.A3BAB16.4B$.BA2BA.A2BAB18.4B$2B3AB.B3A2B18.4B$.11B20.4B$.11B21.4B$.13B2.B.9B.B5.4B$.17B2A11B4.4B$.15B2AB2A11B4.4B$.15BA2BA13B4.4B$16BA
2BA13BA4.4B$.16B2A14B3A3.4B$2.5B.7B21.A3.4B$3.B2A2.9B2A14B3A5.4B$4.2A
3.7BA2BA13BA8.4B$8.8BA2BA13B10.4B$9.7B2AB2A11B12.4B$9.9B2A11B14.4B$
12.5B.9B.B17.4B$13.4B30.4B$14.4B30.4B$15.4B8.2A20.4B$16.3BA6.B2AB15.A
4.4B$17.ABAB6.4B13.A.A4.4B$18.2A2B6.2B14.A.A5.4B$19.4B4.3B13.2A.2A5. 4B$20.4B2.5B5.2A4.BAB.BAB5.4B$21.4B.6B4.A4.3AB.B3A5.4B$22.6BA3B.BA.A
3.A2BAB.BA2BA5.4B$23.4BABA2B.B2A4.4BA.A4B6.4B$22.4BA3BA3B5.B2A3B.3B2A
B6.4B$22.4BA3BA3B6.2A3B.3B2A8.4B$22.4BA3BA3B5.4BAB.BA4B8.4B$20.2AB.3B ABA4B5.4B2A.2A4B9.4B$19.A.AB3.2BA4B6.2B3AB.B3A2B10.4B$19.A6.6B7.2B2A 2B.2B2A2B11.4B$18.2A5.8B6.2BA3B.3BA2B12.4B$25.9B5.6B.6B13.4B$24.6B.4B
4.6B.6B14.4B$20.B2.3BA3B2.4B3.6B.6B15.4B$18.7BABA2B3.4B2.6B.6B16.4B$18.7BABA2B4.4B2.5B.5B18.4B$17.9BA3B5.10B.6B18.4B$17.11B.B2A4.2B2A5B. 5B20.4B$18.9B2.BA.A4.2A12B21.3B$18.3BA3B7.A5.BA12B21.2B$19.ABA3B7.2A
5.13B2.B.9B.B7.B$20.2A2B16.4B2A19B2ABA$21.4B15.3BA4B2ABA8B3A2B2A2BA$22.4B14.3BA3B2ABA10B2A6BAB$23.4B15.B.BA5BA10B3A3B4A$24.4B18.A2B2A12BA 3BA3B3A$25.4B16.3BA5B20.A$26.4B13.2A18BA3BA3B3A$27.4B12.2A17B3A3B4A$28.4B12.17B2A6BAB$29.3BA12.15B3A2B2A2BA$30.3BA12.19B2ABA$31.3A13.B6.B
.9B.B!
[code]
p60:
x = 61, y = 60, rule = LifeHistory
10.A5.4B$8.3A6.4B$7.A10.4B$7.2A10.4B$5.4B11.4B$4.3B14.4B$3.B3A2B13.4B
$3.B3AB10.B4.4B$2.BA3BAB7.BA2B4.4B$2.7B5.B2A3B5.4B$2.2A3B2A3.2B3A4BA
4.4B$2.7B2.2B.B2A2BA2B5.4B$2.7B.2BAB.2BA.2B.BA4.4B$2.7B2.3AB.4A.3B5. 4B$3.5B2.B3ABA4.ABA3B4.4B$2.3A3B2.A3B2A.2A.A.5B4.4B$3.3B2A6B.A.2A.2A
3BA6.4B$3.3B3A.3BABA4.AB3AB7.4B$2.5B2A3.3B.4A.B3A9.4B$2.2B.ABAB3.AB. 2B.A2B.BAB10.4B$.4B2A2B5.2BA2B2AB.B12.4B$.9B4.A4B3AB14.4B$11B5.3B2AB
16.4B$2A3B2A.4B4.2BAB19.4B$2A3B2A2.4B4.B22.4B$7B3.2BAB9.2A16.4B$2B3A
2B4.2B2A7.B2AB16.4B$2B3A2B5.2A2B7.4B16.4B$.2BA2B7.4B7.2B18.4B$.5B8.4B 5.3B19.4B$2.3B10.4B3.5B5.2A12.4B$3.4B9.4B2.6B4.A14.4B$5.2A10.4B.6B.BA
.A15.4B$5.A12.8BAB.B2A13.B3.4B$6.3A9.8BA3B13.A3B3.4B$8.A9.7BA4B11.A2B A2B4.4B$18.10BAB10.BA2BA4B3.4B$16.2AB.7B2AB9.B.A2BA4B4.4B$15.A.AB3.7B
9.3A.A2B.AB.2B3.4B$15.A6.7B9.3BA.4A.3B4.4B$14.2A5.9B7.A4BA4.2A4B3.4B$21.10B6.B3ABA.2A.A.5B3.4B$20.6B2.2B2A4.5B.A.2A.AB3AB5.3B$16.B2.4B2AB 3.BABA4.4B2A4.A4BA6.2B$14.7B4AB4.A3B5.3B.4A.A3B8.B$14.6BA3BAB5.4B4.2B .BA.2BA.3A$13.7BA5B6.4B5.4BA2BA.B$13.7B2A2B.B2A5.4B4.4BA2BAB$14.8BA2.
BA.A5.4B5.2BA2BA$14.7B7.A6.4B4.3BA12.2A$15.6B7.2A6.4B4.B14.A$16.4B4. 2A11.8B2.3BA2B3.BA.A$17.4B4.A12.9B4A4B.B2A$18.4B3.A.2A4.B2A10B4A7B$
19.4B3.A2B2.3BABA9BA2BA7B$20.4B4.2BA4B3A3B.4B4A6B$21.4B3.A2BA4B3A8B4A
4B$22.3BA3.2A4B3A5B2.B.3BA2B$23.3BA4.3BABA4B$24.3AB5.B2A3B! In the pattern below the bottom gun can be advanced by 1 tick: Code: Select all x = 50, y = 54, rule = LifeHistory 18.B4.5BA$16.11BABAB$16.10BA3B2AB2.B.B2A3B$15.2A9BA3BAB2A4BABA4B$15. 2AB.7BA3BA.3A4B3A5B$16.B4.6BABAB2A2BA4B3A4B$23.5BA4B2A4B3A5B$28.10BAB
A6B.2A$27.8B2.B2A3B.2BA2.A$26.4B4.A10.B3A$25.4B4.A2BA8.B$24.4B5.3BA2B
7.3A$23.4B4.A5BA2B7.A.A$22.4B5.3A3B2A.B4.A3.A$21.4B4.2A.AB.2BA.A2B3. 4A$20.4B5.B2A.4A.3AB$19.4B4.A2BABA4.A3B2A4.2A$18.A3B4.A4B.A.2A.A5B4.
2A$10.2A5.A3B6.5BA.2A.A.4BA$9.B2AB3.B3A7.2A3BA4.ABA2BA$10.4B.4B9.B3A. 4A.2AB$11.2B.4B10.2BA.A2B.BA.2A$10.7B12.B.2A3B3A$9.7B3.2A9.2BA5BA$9. 6B4.A11.2BA3B$9.6B.BA.A13.A2BA$7.8B.B2A16.A$5.9BA3B17.B$5.9BA2B16.4B$
5.8BA3B14.3B2AB$3.2AB.10B13.4BABA2B$2.A.AB3.8B12.B.3B3A2B$2.A6.9B10. 3B.3B.BA.2B$.2A5.5B2.4B9.4B.4A.A2B$8.6B2.4B7.5BA4.AB2A2B$7.6B4.2B2A6.
B3ABA.2A.A.ABA2B$3.B2.2BA4B5.BABA4.2BABA.A.2A.AB3AB4.2A$.5B2ABABAB6.A
3B4.2B2ABA4.A5B4.2A$.4BA5BAB7.4B5.2BA.4A.4B$5BA7B8.4B4.2B.AB.3B.3B3.
4A$5B2A4B.B2A7.4B5.2B3A3B.B4.A3.A$.6B2AB2.BA.A7.4B4.2BABA4B7.A.A$.7B 7.A8.4B5.B2A3B7.3A$2.6B7.2A8.4B4.4B8.B$3.4B19.4B4.B10.B3A$4.4B7.2A10.
8B2.A5B.2BA2.A$5.4B7.A11.8BABA8B.2A$6.4B6.A.AB3.BABA8BAB2A8B$7.4B6.2A B.3BA2BA6B2AB2A8B$8.4B7.8B2A2B.3BAB2A8B$9.4B6.6BA3B2A5BABA6B$10.3BA6.
7B2A4B2.B.A5B$11.3BA6.3BA2BA3B$12.3AB7.BABA2B!

Stable stop-and-go

Will delay the input signal (the glider from the NE) by the period of the Herschel.

The eater marked in yellow is taken from the HR49H conduit.

Code: Select all

x = 189, y = 110, rule = LifeHistory
134.2A11.A$133.B2AB9.A.A$134.3B9.A.A2.2A3.A$133.B.B9.2A.2A2.A2.A.A$
133.5B8.B2.A.A3.A.A12.2A$133.6B6.2ABA2.4A.A13.A$133.8B4.2A.A.A3.A12.B
A.A$134.13B2.A.AB2.A9.B.B2A$132.13B5.A.A2B.A7.4B$131.15B5.A2B.2A7.4B$
131.8BABA4B4.3B10.5B14.2A$130.9BABA5B.B.2B11.6B12.B2A2B$130.15B2A12B
2.8B13.4B$129.11BA4BABA22B13.4B$128.12BA6BA21B13.4B$127.2AB3.12B3A12B .7B13.7B$126.A2.A4.35B12.7B$125.A.2A5.6B3.B2.2B2.19B11.7B2A$125.A7.6B
14.17B8.9B2A$124.2A6.9B14.15B.2B2.11B.B$131.4B4.2A15.29B$131.4B4.A16. 8B.20B$130.5B5.3A11.8B3.2B2A16B$127.9B6.A11.2A3.B5.2B2A16B$127.9B19.A
10.18B$127.9B16.3A12.B.3B.4B$127.10B15.A19.4B$126.12B33.BA2B$125.13B
8.2A22.2A2B$126.11B9.A22.2B2A$127.12B4.BA.A21.4B$127.15B.B2A10.A10.4B$127.17B12.3A7.4B$127.17B15.A5.4B$124.B.17B15.2A4.4B$123.2A19B14.9B6. 2A$123.2AB.19B14.6B7.A$124.B4.20B2.2B2.B3.6B5.2A.A$129.36B4.A2.A$129. 9B.27B3.B2A$130.7B2.16B2A14B$130.7B2.16B2A13B$130.6B4.29B$130.7B10.2B .B.17B$130.6B10.3B4.15B$129.7B6.2A.2BA5.15B$130.5B7.A.2BA.A5.13B$129. 6B8.A2.BA.A2.13B$128.9B7.A3.A.A.2A4.8B$127.7B.2A5.A.4A2.AB2A6.6B$126.
4B5.A5.A.A3.A.A2.B8.5B$125.4B7.3A2.A.A2.A2.2A.2A9.B.B$124.4B10.A3.A3.
2A2.A.A9.3B$28.A11.2A81.4B23.A.A9.B2AB$27.A.A9.2BAB79.4B25.A11.2A$9. 2A8.A3.2A2.A.A9.3B79.4B$8.B2AB6.A.A2.A2.2A.2A9.B.B77.4B$9.3B6.A.A3.A. A2.B8.ABA2B76.4B$8.B.B8.A.4A2.AB2A6.6B75.4B$8.5B8.A3.A.A.2A4.A2BA3BA 74.4B$8.6B6.A2.BA.A2.5BABA4BA74.4B$7.6B6.A.2BA.A5.2B3A8B71.4B$6.7B6.
2A.2BA5.2B2A11B69.4B$7.6B10.3B4.3B2A3BA6B68.4B$7.7B10.2B.B.8BA8B66.4B
$7.6B4.20B2A7B65.4B$7.7B2.6B2A14BA8B63.4B$7.7B2.5BABA24B61.4B$6.9B.BA
5BA19B3.B2A59.4B$6.8B2A2BA23B4.A2.A57.4B$.B4.7BA5BA6B2.2B2.B3.6B5.2A.
A55.A3B$2AB.8B2AB2A6B14.6B7.A54.BABA$2A11B4A3BA14.9B6.2A52.2B2A$.B. 11BA4BA15.2A4.4B58.4B$4.12B3A2B15.A5.4B26.A29.4B$4.12BA4B12.3A7.2B2A 23.3A28.4B$4.15B.B2A10.A10.BABA21.A30.4B$4.12B4.BA.A21.A3B20.2A28.4B$
3.11B9.A22.4B17.4B27.4B$2.13B8.2A22.4B15.3B28.4B$3.12B33.4B14.BA2B26.
4B$4.10B15.A19.4B12.2B3A16.E8.4B$4.9B16.3A12.B.3B.4B11.2B3AB13.3E7.4B
$4.9B19.A10.6B2ABA8B2.8B5.2E5.E9.4B$4.9B6.A11.2A3.B5.2B3A2B2A2BA18B2.
3E.E4.2E7.4B$7.5B5.3A11.8B3.3B2A6BA17B2.E4.E2.4B6.4B$8.4B4.A16.8B.4B
2A4B2A8B.7B4.3E.E.2EB7.4B$8.4B4.2A15.18BA19B5.E.E2BEB6.4B$.2A6.9B14.
15B.2A2.19B6.2B2EB6.4B$2.A7.6B14.17B8.17B5.4B6.4B$2.A.2A5.6B3.B2.2B2.
19B11.15B.2B2.4B5.4B$3.A2.A4.12BA3B2A17B12.15B3A7B2.4B$4.2AB3.7B4A3BA
B2ABA7B.7B13.8B.4BA3B2A11B$5.10BA6BABA4B2A15B10.8B3.4BABA2B2A4B2A3B$
6.10BA3BA2B3A2B2A17B9.2A3.B5.3BA5BA5B2A3B5.7B.B$7.9B4A4B2A10B2.5BA2B 11.A10.3BA2B2A11B5.13B.B$7.17B.B.2B11.B2A3B8.3A.B10.2BA2B.B.2BD35B2.B
$8.15B4.3B10.B3AB9.A14.B7.2B2D34B.B2A$8.15B5.A2B.2A7.4B32.B2D37B2A$9. 13B5.A.A2B.A7.4B32.17B2A19B.2B$11.13B2.A.AB2.A9.B.B2A31.16B2A19B$10. 8B4.2A.A.A3.A12.BA.A31.B2.19B3.2B2.6B$10.6B6.2ABA2.4A.A13.A34.2B3.B2.
10B$10.5B8.B2.A.A3.A.A12.2A34.AB6.6B$10.B.B9.2A.2A2.A2.A.A47.A.A7.3B$11.3B9.A.A2.2A3.A48.2A8.B$10.B2AB9.A.A65.2A$11.2A11.A66.A$92.3A$94.A! Entity Valkyrie 2 Posts: 895 Joined: February 26th, 2019, 7:13 pm Location: Hijuatl, Zumaland Contact: ### Re: Thread for your unsure discoveries H-to-G3: Code: Select all x = 48, y = 40, rule = B3/S23 10bo$10b3o$13bo19bo$12b2o17b3o$30bo$30b2o$38b2o$38bo$36bobo$30bo5b2o$4b2o24bo$5bo24b3o$5bobo24bo$6b2o3$o$3o$3bo$2b2o7$bo$bobo32bo$b3o31bobo$3bo15b2o13bo2bo$19b2o14b2o$10b2o3bo28b2o$11bo4b2o26bobo$8b3o3b2o30bo$8bo7bo29b2o2$24b2o$25bo$22b3o$22bo! Bx222 IS MY WORST ENEMY. Please click here for my own pages. My recent rules: B3-kq4ej5i6ckn7e/S2-i34q6a7 B3-kq4ej5y6c/S2-i34q5e Move the Box Jormungant Posts: 268 Joined: May 27th, 2016, 1:01 am ### Re: Thread for your unsure discoveries this periodic oscillator... is known? Code: Select all x = 58, y = 55, rule = LifeHistory 4$22.2A15.4B$15.2A3.2B2AB13.5B$14.B2AB2.4B14.3A2B$15.2B3.6B.B9.B3A2B$
16.2B2.10B6.2B3AB$15.2B2A11B4.B3A2B6.2A$12.B.3B2A12B2.2B3AB6.B2AB$11. 2A18B2.2B3A8.2B$11.2AB.15B2.6B9.2B3.B$12.B2.22B9.4B.B2A$16.18B.B8.8B
2A$16.3B2A15B2.2B2.6B2AB.B$8.2B7.31B2A$8.3B7.7B.24B$6.2B3A7.6B2.28B$6.2B3AB5.7B.29B$7.B3A.B4.6B.29B2A$9.2B3AB3.9B5.6B.14B2A$10.B3A2B2.8B
4.4B.4B2.11B.B$11.3A11B3.2A4B2.4B2.10B$11.5B.7B2.2BA6B2.14B$12.15B2A 2B3AB3.14B$14.4B3A6BA.2BA.3A2.13B$15.5BA2B.3B2ABA4BA2.13B$12.2B.4B3AB
.5BA.A5B.B3A4B.2B$10.13B2.A4BAB2A3B.2BA4B$10.13B2.3A.A2B.A6B3A2B$9. 14B3.B3A2B2A10B.4B$10.14B2.6BA2B2.7B.5B$9.10B3.3B2.4B2A3.11B3A$7.B.
11B2.4B.4B4.8B2.2B3AB$6.2A14B.6B5.9B3.B3A.B$6.2A29B.6B4.2B3AB$7.29B. 7B5.B3A2B$7.28B2.6B7.3A2B$11.24B.7B7.3B$11.2A31B7.2B$8.B.B2A6B2.2B2. 15B2A2B$7.2A8B8.B.18B$7.2AB.4B9.21B3.B$8.B3.2B9.6B2.15B.B2A$13.2B8.3A 2B2.18B2A$12.B2AB6.B3A2B2.12B2A3B.B$13.2A6.B.3AB4.11B2A2B$19.B3A2B6.
10B2.2B$18.2B3AB9.B.6B3.2B$18.2B3A14.4B2.B2AB$20.3B13.B2A2B3.2A$20.2B
15.2A!

calcyman
Posts: 2350
Joined: June 1st, 2009, 4:32 pm

Jormungant wrote:
July 17th, 2020, 6:30 pm
this periodic oscillator... is known?
Yes, I (re?) discovered it when trying to find the legendary p64 oscillator that appears to be permanently lost:
Dean Hickerson wrote:
Noam Elkies wrote:
Dave Buckingham wrote:This was the first period independent
B-heptomino turn and yielded the P256 gun (as shown), but since
the released gliders pass through the mechanism, this is the only
period glider gun possible (with a Figure 8, the gliders
can be removed, and 4 B's cycled, but defeats the purpose).
Ergo, still no period 64 gun!
Wait a minute -- that seems to indicate that you *did* have a P64
oscillator at this time, made of 4 B's and and 4 90-degree turns
each composed of four blocks and a Figure 8. At that time, no
P64 oscillator was known at all; my attempts to construct one
along those lines failed. Even now with the full b7 toolkit this
would be the simplest P64 oscillator. What does it look like?
meant a Kok's galaxy rather than a figure 8: A galaxy will fit in
the middle of the 'p64'; there are timings that delete the gliders
and other timings that let the B-heptominos pass unharmed, but none
that do both.
Bill Gosper wrote:
Mark Niemiec wrote: At one point DJB intimated that he did have a gliderless P64 oscillator,
but never showed it to me. I'll have to ask him if he still has it.
He told me about it (and all the guns) by phone in July, which is how
long I've been biting my tongue. He said the p64 was the squarest
oscillator he ever saw.
I found the p128 but had no luck rediscovering the elusive p64.
What do you do with ill crystallographers? Take them to the mono-clinic!

Jormungant
Posts: 268
Joined: May 27th, 2016, 1:01 am

"He said the p64 was the squarest oscillator he ever saw".

squarest eh? is it this one that got discovered recently, or ith as to be rotation symmetric H-track?

Code: Select all

x = 27, y = 31, rule = B3/S23
3$17b2o$17b2o2$14bo$13bobo$3b2o8bobo$3b2o9bo2$11bo$10b3o$10bo5bo$14b3o
$15bo2$12bo9b2o$11bobo8b2o$11bobo$12bo2$8b2o$8b2o! now... there is a p16 that won over the "squarest oscillator" title for sure Code: Select all x = 20, y = 20, rule = B3/S23 10b2o3b2o$10b2o3b2o$6bo$2o3b2o$2o2bo10bo$5bo3b2o2b2obo$5bo3bo6b2o2$2o$2o3bo7b2o$5b2o7bo3b2o$18b2o2$2b2o6bo3bo$3bob2o2b2o3bo$4bo10bo2b2o$13b 2o3b2o$13bo$3b2o3b2o$3b2o3b2o!

In any case, I guess I was wondering if there is a way to fix the following:

Code: Select all

x = 116, y = 69, rule = LifeHistory
75.6B$76.6B$75.6B$76.6B$45.2A9.2A17.6B$45.A11.A18.6B$46.A9.A18.6B$45. 2A9.2A18.6B$43.BA4.A3.A4.AB15.6B$42.2B6A3.6A2B15.6B$43.A.B11.B.A15.6B
$44.A2BA7.A2BA17.6B$44.B.A.A2.A2.A.A.B16.6B$42.3A.A.7A.A.3A15.6B$41.A
2.2ABA7.AB2A2.A13.6B$41.2A.B2A2B2A.2A2B2AB.2A14.6B$27.2A15.3BA2.A.A2.
A3B16.6B$20.2A3.2B2AB14.B4A.A.A.4AB17.6B$19.B2AB2.4B15.A.A3BA.A3BA.A
16.6B$20.2B3.6B.B11.B2A3B3.3B2AB17.6B$21.2B2.10B.B8.2BA.5A.A2B17.6B$20.15B.B5.B4.B7AB20.6B$17.B.15B2A13.5B14.B6.6B$16.2A4B4ABA6B2A13.5B 13.3B6.6B$16.2AB.7BAB3A3B2.B12.4B11.3B3A4.7B$17.B2.7BAB2A7B2.2C8.4B5. 4B2.2B3A2B3.8B$21.17B2.B7.7B2.10BA3B2ABA4B2A3B$21.BA2BA13BAB2.2B2.20B A3B2A2BA2BAB2A3B$13.2B7.A16BA34B2A2BA3BA3B$13.3A7.3BA3B.8BA24BA3B2A4B 2A2B3A2BA3B$11.BA3B7.A2BA2B2.33BAB3A2B3A6B2ABA3B$11.BA3BA5.2B3A2B.12B 2A22B2ABABA6BA2BABA3B3.2A3.2A5.2B$12.A2BA.A4.6B.12BA12B.B5.17B2A2BA7B
2AB2.2AB2.BA4B$14.ABA2BA3.9B5.6B.9B10.B2.3BABA7B3A10B4.3B2A5B$15.A3BA
B2.8B4.4B.4B2.8B12.B2ABA14B.10B.2B2A4B2A$16.3BA10B3.6B2.4B2.7B12.A4BA 11B4.6B2A4B2A4B2A$16.3A2B.7B2.BAB2AB2AB2.17B7.A3BA13B4.A3B2A.3A2B2A2B
.B$17.14B2AB2A2B2A3.15BAB7.4AB.11B4.B4A3B2A3B2AB$19.12BAB.3B.3B2.14BA
BA7.4B2.12B4.3A3B2.4B.AB$20.8B.9B2AB2.13BA3BA13.4B.2BA3B4.7B2.B.BA2B. 2A$17.2B.8B.2B2A2B.2B2A2B.8B.3B.BA2B.A17.BABA2B3.4B2AB5.2AB.B2A$15. 13B2.B2A9B.7B8.A3BAB16.2A2B3.2AB.B2A5.B2A4B$15.13B2.3B.3B.BA10B9.A3BA
B17.B4.2A.2BAB.B2.7B$14.14B3.2A2B2AB2A9B.4B6.ABA2B25.BA.4B2.3B3A$15.
14B2.B2AB2ABAB2.7B.2B3A5.BAB27.B2A3B2A3B4AB$14.10B3.3B2.6B3.10BA3B6. 2B25.B.2B2A2B3A.2A3BA$12.B.11B2.4B.4B4.8B2.BA3BA31.2A4B2A4B2A6B$11.2A 14B.6B5.9B3.A2BA.A30.2A4B2A2B.9B$11.2A16BA12B.6B4.ABA2BA29.5B2A3B4.4B
$12.15B2A12B.2B3A2B5.A3BAB28.4BAB2.B2A2.B2A2B$12.28B2.2BA2BA7.3BAB30.
2B5.2A3.2A$16.15BA8B.3BA3B7.3A$16.2A13BA16BA7.2B$13.B.B2A6B2.2B2.BA 13BA2BA$12.2A8B8.B.18B$12.2AB.4B9.11B2ABA6B3.B$13.B3.2B9.3A3B2.3B3ABA
7B.B2A$18.2B8.3BAB2.2A6BAB4A4B2A$17.B2AB6.A3BAB2.2A15B.B$18.2A6.A.A2B A4.15B$24.A2BABA6.10B2.2B$23.BA3BA9.B.6B3.2B$23.BA3B14.4B2.B2AB$25.3A 13.B2A2B3.2A$25.2B15.2A!

Posts: 9
Joined: April 29th, 2020, 1:00 pm

Hi all,

Today I was fiddling around with a Garden of Eden search script, and when inputting Garden_of_Eden_11 as a test, I accidentally removed the bottom row of cells.
Interestingly enough, this still resulted in a valid Garden according to my script.
JavaLifeSearch was unable of finding a parent as well.
So, I stripped it some more, and I now have what I believe could be the smallest Garden yet, fitting in a bounding box of 11x5 with only 27 living cells.

Code: Select all

x = 11, y = 5, rule = Life
bo2bobobo$ob3o2b3o$bobobo2bobo$b3o2b2o2bo$2o3b2o2bo!
Does anyone know if there is a smaller Garden known that isn't on the wiki?
I am very doubtful that there has been no discovery of any smaller Garden's of Eden in the past 3 years.
Furthermore, on Achim Flammenkamp's webpage (http://wwwhomes.uni-bielefeld.de/achim/orphan_11th.html), it states that there is a 12th Garden, however the link to it is dead.

gameoflifemaniac
Posts: 1223
Joined: January 22nd, 2017, 11:17 am
Location: There too

July 18th, 2020, 4:38 pm
Hi all,

Today I was fiddling around with a Garden of Eden search script, and when inputting Garden_of_Eden_11 as a test, I accidentally removed the bottom row of cells.
Interestingly enough, this still resulted in a valid Garden according to my script.
JavaLifeSearch was unable of finding a parent as well.
So, I stripped it some more, and I now have what I believe could be the smallest Garden yet, fitting in a bounding box of 11x5 with only 27 living cells.

Code: Select all

x = 11, y = 5, rule = Life
bo2bobobo$ob3o2b3o$bobobo2bobo$b3o2b2o2bo$2o3b2o2bo!
Does anyone know if there is a smaller Garden known that isn't on the wiki?
I am very doubtful that there has been no discovery of any smaller Garden's of Eden in the past 3 years.
Furthermore, on Achim Flammenkamp's webpage (http://wwwhomes.uni-bielefeld.de/achim/orphan_11th.html), it states that there is a 12th Garden, however the link to it is dead.
Wow, that is amazing!!! This 45-cell Garden of Eden was known to be the smallest one for 11 years:

Code: Select all

x = 11, y = 11, rule = B3/S23
3b2o3bo$2bo2bobobo$bobo2bo3bo$obobo2bobo$o2bobo2bo$bo2b3o2bo$2bo2bobo
2bo$bobo2bobobo$o3bo2bobo$bobobo2bo$2bo3b2o!
Last edited by gameoflifemaniac on July 18th, 2020, 4:45 pm, edited 1 time in total.
I was so socially awkward in the past and it will haunt me for the rest of my life.

Code: Select all

b4o25bo$o29bo$b3o3b3o2bob2o2bob2o2bo3bobo$4bobo3bob2o2bob2o2bobo3bobo$
4bobo3bobo5bo5bo3bobo$o3bobo3bobo5bo6b4o$b3o3b3o2bo5bo9bobo$24b4o! Ian07 Posts: 664 Joined: September 22nd, 2018, 8:48 am ### Re: Thread for your unsure discoveries VadeveSi wrote: July 18th, 2020, 4:38 pm Furthermore, on Achim Flammenkamp's webpage (http://wwwhomes.uni-bielefeld.de/achim/orphan_11th.html), it states that there is a 12th Garden, however the link to it is dead. Achim probably just put the link there as a placeholder for when GoE12 gets discovered, and the page it links to hasn't actually been made yet. For example, here's an archived version of the orphan_9th page from August 28, 2016 which already displays the "YES" link to orphan_10th, despite orphan_10th not being discovered until a few weeks later on September 16. VadeveSi Posts: 9 Joined: April 29th, 2020, 1:00 pm ### Re: Thread for your unsure discoveries Wow, that is amazing!!! This 45-cell Garden of Eden was known to be the smallest one for 11 years: Is there a way to be 100% sure that it is indeed a Garden of Eden and not just an error by me? Ian07 Posts: 664 Joined: September 22nd, 2018, 8:48 am ### Re: Thread for your unsure discoveries VadeveSi wrote: July 18th, 2020, 4:59 pm Is there a way to be 100% sure that it is indeed a Garden of Eden and not just an error by me? Unfortunately it's not, as A for awesome posted this predecessor on Discord: Code: Select all x = 15, y = 16, rule = B3/S23 6bobo2bo$3bobo4bo$4b8o2bo$5b6obo$3bobo2bob4o$bo2bobo2b5o$ob2o2b2o2bob o$bo3bobo3b2obo$2bo3bobo2b2o$bob3o5b2o$2ob2o2b3ob4o$3obob7o$bo2b2obob 2o$bo2b3o$5bo$5bo!

gameoflifemaniac
Posts: 1223
Joined: January 22nd, 2017, 11:17 am
Location: There too

Ian07 wrote:
July 18th, 2020, 5:07 pm
July 18th, 2020, 4:59 pm
Is there a way to be 100% sure that it is indeed a Garden of Eden and not just an error by me?
Unfortunately it's not, as A for awesome posted this predecessor on Discord:

Code: Select all

x = 15, y = 16, rule = B3/S23
6bobo2bo$3bobo4bo$4b8o2bo$5b6obo$3bobo2bob4o$bo2bobo2b5o$ob2o2b2o2bob
o$bo3bobo3b2obo$2bo3bobo2b2o$bob3o5b2o$2ob2o2b3ob4o$3obob7o$bo2b2obob
2o$bo2b3o$5bo$5bo! Aww man I was so socially awkward in the past and it will haunt me for the rest of my life. Code: Select all b4o25bo$o29bo$b3o3b3o2bob2o2bob2o2bo3bobo$4bobo3bob2o2bob2o2bobo3bobo$4bobo3bobo5bo5bo3bobo$o3bobo3bobo5bo6b4o$b3o3b3o2bo5bo9bobo$24b4o!

A for awesome
Posts: 2286
Joined: September 13th, 2014, 5:36 pm
Location: Pembina University, Home of the Gliders
Contact:

Ian07 wrote:
July 18th, 2020, 5:07 pm
July 18th, 2020, 4:59 pm
Is there a way to be 100% sure that it is indeed a Garden of Eden and not just an error by me?
Unfortunately it's not, as A for awesome posted this predecessor on Discord:

Code: Select all

rle
Anyway, here's a much better example parent (found with JLS):

Code: Select all

x = 14, y = 8, rule = B3/S23
bob2obo2bo$2b4o2bo$obo2bob3o$2bo2bo2bo2bo$4bobo4bo$bob2o2b3obobo$2bo2b
obo3bo$o2bo9bo! By any chance were you either checking only predecessors that fit within the same bounding box, or checking only predecessors that fit within a bounding box one larger on all sides? Trying either of those while setting an all-off background elsewhere gives no solutions for me with JLS, but expanding it one larger gives the above one. For Garden of Eden/orphan–checking searches, it's often better to set unchecked cells (with U) to surround the pattern rather than off cells, to rule out local predecessors that leave more distant junk (or you can leave a four-cell — if I remember right — border around everything if you'd rather, but the search will take longer [EDIT: no, this doesn't work, please disregard it]). Last edited by A for awesome on July 18th, 2020, 5:25 pm, edited 1 time in total. praosylen#5847 (Discord) x₁=ηx V*_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt) $$x_1=\eta x$$ $$V^*_\eta=c^2\sqrt{\Lambda\eta}$$ $$K=\frac{\Lambda u^2}2$$ $$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$ VadeveSi Posts: 9 Joined: April 29th, 2020, 1:00 pm ### Re: Thread for your unsure discoveries Ian07 wrote: July 18th, 2020, 5:07 pm Unfortunately it's not, as A for awesome posted this predecessor on Discord: Code: Select all x = 15, y = 16, rule = B3/S23 6bobo2bo$3bobo4bo$4b8o2bo$5b6obo$3bobo2bob4o$bo2bobo2b5o$ob2o2b2o2bob o$bo3bobo3b2obo$2bo3bobo2b2o$bob3o5b2o$2ob2o2b3ob4o$3obob7o$bo2b2obob 2o$bo2b3o$5bo$5bo!
Ah, well there is my mistake: I assumed that checking for a parent in a bounding box one cell larger in every direction was enough.
At least now that this is incorrect, which really increases the complexity of the problem even further.
Thanks for checking!

Macbi
Posts: 782
Joined: March 29th, 2009, 4:58 am

July 18th, 2020, 5:17 pm
Ian07 wrote:
July 18th, 2020, 5:07 pm
Unfortunately it's not, as A for awesome posted this predecessor on Discord:

Code: Select all

x = 15, y = 16, rule = B3/S23
6bobo2bo$3bobo4bo$4b8o2bo$5b6obo$3bobo2bob4o$bo2bobo2b5o$ob2o2b2o2bob
o$bo3bobo3b2obo$2bo3bobo2b2o$bob3o5b2o$2ob2o2b3ob4o$3obob7o$bo2b2obob
2o$bo2b3o$5bo$5bo! Ah, well there is my mistake: I assumed that checking for a parent in a bounding box one cell larger in every direction was enough. At least now that this is incorrect, which really increases the complexity of the problem even further. See here if you want to know the sure way to check whether something is a GoE. Jormungant Posts: 268 Joined: May 27th, 2016, 1:01 am ### Re: Thread for your unsure discoveries p128 gun / Hershel producer Code: Select all x = 84, y = 77, rule = LifeHistory 61.4B$62.4B$63.4B$64.4B8.2A$65.4B6.A2.A$66.4B2.BA2.A.A$60.A6.4B.B4A. 2A$42.2A9.2A5.3A5.5B6.A$42.A11.A8.A4.4B.B.4A$43.A9.A8.2A4.7BA$42.2A9. 2A7.14B.2A$25.2B13.BA4.A3.A4.AB7.10B4.A$24.BAB12.2B6A3.6A2B4.13B3.A.A$24.3A2B11.A.B11.B.A5.14B3.2A$23.AB3AB12.A2BA7.A2BA6.13B$22.A.2BAB13.
B.A.A2.A2.A.A.B6.13B$20.BA2B.A13.3A.A.7A.A.3A4.12B$19.B3ABA13.A2.2ABA
7.AB2A2.A4.12B$19.2B3A14.2A.B2A2B2A.2A2B2AB.2A3.14B$21.BAB17.3BA2.A.A
2.A3B6.14B$21.2B18.B4A.A.A.4AB7.12B$20.B16.B3.A.A3BA.A3BA.A7.12B$19. 4B14.B3.B2A3B3.3B2AB7.11B$17.7B13.B4.2BA.5A.A2B5.13B$15.9B4.4B7.B4.B 7AB6.2A12B$14.11B.5B2A13.5B8.2A13B$7.4B4.16B2AB12.5B8.5B2A3B2A3B$7.6B
4.4B2A3B2A6B13.4B8.5BABA2BABA2B$6.6AB2A2.2B2AB4ABA6B13.4B6.9B2A3B2AB$
6.6AB2A2B.B2A4B2A8B10.7B2.13B2A2BA2B$5.3B.3B.2A3B.2A4BA12B2.2B2.13BD 10B3A3B2.A$5.B2A5B2A2B.3BA2BA32BDBD4B.4BA4B.A.A$4.2B2A2B.2B2A2B3.B3A 3B.29B3D4B2.B.6B2.A$4.2B2A5B2AB4.6B2.31BD4B5.5B$4.2B2A.3B.3B3.7B.26BA BA7B5.B2A2B$4.2B2AB6A4.6B.12BA12B.B2AB11.AB.A.B2A$6.2AB6A5.9B7.ABAB. 9B.3BA11.A.2A2.BA.A$8.6B6.8B8.B2AB3.11B12.A8.A$10.4B5.8B10.2B5.9B2.2B 8.2A8.2A$19.7B8.2AB4.11B3.BAB$19.6B4.B2.2B3A3.18B$18.7B3.2A2BA2BABA2.
12B.BAB3A$15.10B3.2A2B2A2B2A2.9B2AB2.2B2A.A$14.B2A2B3A3B4.3B2A2.B3.8B
.2A5.A.2A2B$13.3B2A7B4.3B8.7B10.3ABAB$13.BABA8B14.8B11.5B$13.BA10B15. 6B12.BAB$2.2B9.13B13.7B13.2B$2.BAB9.7B2.4B11.9B4.4B3.2B$2B3A9.8B2.2B
2A9.8B6.6B$B3ABA9.9B.BABA7.9B5.6AB2A$.BA2B.A7.12BA12B.6B4.6AB2A2B$3.A .2BAB3.26B.7B3.3B.3B.2A2B$4.AB3AB.26B2.6B4.B2A5B2A2B$5.3A2B.26B.3B3AB 3.2B2A2B.2B2A2B$5.BAB2.30BA2BA3B.2B2A5B2AB$6.2B3.10B2.2B2.12BA4B2A.3B 2A.3B.3B$12.7B.B9.8B2A4B2AB.2B2AB6A$12.6B.B11.6BAB4AB2A2B2.2AB6A$13.
3B2.4B9.6B2A3B2A4B4.6B$13.3B2.6B7.B2A16B4.4B$14.B2.6AB2A6.2A5B.11B$17.6AB2A2B5.4B4.9B$16.3B.3B.2A2B13.7B$16.B2A5B2A2B14.4B$15.2B2A2B.2B
2A2B16.B$15.2B2A5B2AB15.2B$15.2B2A.3B.3B14.BAB$15.2B2AB6A15.3A2B$17.
2AB6A14.AB3AB$19.6B14.A.2BAB$21.4B12.BA2B.A$36.B3ABA$36.2B3A$38.BAB$
38.2B!
a common eater in h-to-x cannot be placed, so the follow-ups are limited, but the following works at least:

Code: Select all

x = 106, y = 76, rule = LifeHistory
2$47.2A9.2A$47.A11.A$48.A9.A22.A$47.2A9.2A19.3A$30.2A13.2B4.A3.A4.2B 16.A$29.3B12.2AB5A3.5AB2A15.2A$29.A3BA11.B.A11.A.B13.5B8.A$28.A4BA12.
4A7.4A13.2A2B10.3A$27.A.ABAB13.A.A.A2.A2.A.A.A11.2B2A3B5.2A5.A$25.BAB
A.A13.3A.B.7A.B.3A9.7B.B2.B2AB3.2A5.2E$24.A4BA13.A2.B2AB7.B2AB2.A8. 10B2.2B4.B6.E$24.A3BA14.2A.4B3A.3A4B.2A9.9B3.2B2.2B3.BE.E$26.3B17.BA 2B2.A.A2.2BAB11.21B.BCE$26.2A18.A2B2A.A.A.2A2BA11.20B2DB$25.B16.B3.B. AB3A.3ABA.B11.21B2D$24.4B14.B3.2A2BAB3.BA2B2A11.20B2D$22.7B13.B4.2BA. 5A.A2B5.4B2.21BD3B$20.9B4.4B7.B4.BA5BAB6.24B6.CE$19.11B.7B13.5B8.23B 7.E$12.A2BA4.19B12.A3BA8.21B10.3E$12.4BAB4.17B13.BA2B8.22B11.E$11.6B
2AB2.17B13.4B6.24B$11.AB2A6BA.17B10.7B2.26B$10.BAB.A2B.A4B.19B2.2B2.
6B2A5BD13B.10B$10.A3BAB3A3B.13B2A6B3A7BA2B2A3BDBD4B.7B2.2B4.2A$9.A5B.
5BA3.7B.3B2A5B2A3BA4B3A2BA3B3D4B2.3B.B4.B4.A$9.3B3ABA3BA4.6B2.9B2A2BA BA4BA4BA5BD4B4.2B2A3.2A4.3A$9.3BA.2BA.BAB3.7B.2A9BA5BA3B5A10B4.BA2.A
4.A6.A$9.A6B2ABA4.6B.2B2A9B2A2BA5B2A.4B12.3A5.A.A$11.B2A6B5.7BAB7.4B.
2BA6B.4B22.2A$13.BA4B6.8B8.4B3.11B14.3A$15.A2BA5.8B10.2B5.9B2.2B11.A
2.A$24.7B8.3B4.11B3.BAB12.2A$24.6B4.A2.2A3B3.15BABA$23.7B3.A3B2A2B2A 2.12B.BA3BA$20.10B3.A7B2A2.9B2AB2.BA2B.A$19.2A9B4.4AB2.B3.8B.2A5.A.2B AB$18.B2A9B4.3B8.7B10.A3BAB$18.12B14.8B11.ABA2B$18.12B15.6B12.BAB$7. 2A9.13B13.7B13.2B$7.3B9.7B2.4B11.9B4.A2BA3.2B$5.A3BA9.8B2.4B9.8B6.4BA B$5.A4BA9.6BA2B.4B7.BA7B5.6B2AB$6.BABA.A7.2A5BA2B2A9B2A2B.6B4.AB2A6BA$8.A.ABAB3.5A3BA5BA9B2A.7B3.BAB.A2B.A3B$9.A4BA.A4BA4BABA2B2A9B2.6B4.A 3BAB3A3B$10.A3BA.A2B3A4BA3B2A5B2A3B.7B3.A5B.5BA$10.3B2.B2A2BA7B3A6B2A 13B.3B3ABA3BA$11.2A3.2B2A6B2.2B2.19B.4BA.2BA.BAB$17.7B.B9.17B.A6B2ABA$17.6B.B11.17B2.B2A6B$18.3B2.A2BA9.17B4.BA4B$18.3B2.4BAB7.19B4.A2BA$19.B2.6B2AB6.7B.11B$22.AB2A6BA5.4B4.9B$21.BAB.A2B.A3B13.7B$21.A3BAB3A
3B14.4B$20.A5B.5BA16.B$20.3B3ABA3BA15.2A$20.3BA.2BA.BAB14.3B$20.A6B2A
BA15.A3BA$22.B2A6B14.A4BA$24.BA4B14.A.ABAB$26.A2BA12.BABA.A$41.A4BA$41.A3BA$43.3B$43.2A! dvgrn Moderator Posts: 7554 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI Contact: ### Re: Thread for your unsure discoveries Jormungant wrote: July 27th, 2020, 10:41 am p128 gun / Hershel producer :D ... Tricky! I sure wouldn't have bet on that block+glider cleanup working, especially in time to repeat at p128. Since this is "unsure discoveries", and I wasn't sure where this technology came from, I went back and looked. The Herschel splitter is at least as old as a 2003 gun by David Eppstein (center, below). Code: Select all x = 289, y = 96, rule = LifeHistory 22.4B$21.4B$20.4B$19.4B$18.4B$17.4B$16.4B$15.4B$14.4B$3.2A8.4B$2.A2.A 6.4B$2.A.A2.AB2.4B$.2A.4AB.4B6.A$.A6.5B5.3A5.2A9.2A$2.4A.B.4B4.A8.A 11.A$5.A7B4.2A8.A9.A$2.2A.14B7.2A9.2A$2.A4.10B7.BA4.A3.A4.AB13.2B$A.A 3.13B4.B7A3.7AB12.3A$2A3.14B5.A.B11.B.A11.BA3B133.2B$6.4BA8B6.3BA7.A 3B12.BA3BA72.2A56.6B69.2A$6.3B3A7B6.A.A.A2.A2.A.A.A13.A2BA.A70.B2AB6.
2A2.2A11.2A28.2B6A2B67.A.A$7.B2ABA7B4.3A.A.7A.A.3A13.A.A2BA68.3B7.A3. A.A6.2A2.A27.3BA6BA3B59.2A6.A$6.2B2A8B4.A2.3BA7.A3B2.A13.A3BAB68.B.B
3.BA.A5.A5.A2.A.A26.3BA8BA3B55.A3.A2.4A.2A$5.2BABA9B3.2A.2AB4A.4AB2A. 2A14.3BAB66.6B2.B2A5.2A.2A.A.ABA.2A26.3BA6BA3B56.4A3.A2.A.A.A$5.3B2A
3B2A4B6.4B2.A.A2.4B17.3A58.2A8.9B10.A.2A.B.B.A29.2B6A2B62.3A2.2A.A.A$6.5B2A5B7.BA2BA.A.A.A2BAB18.2B57.B2A2B3.12B7.2A6.3A3.A29.6B60.3A4.2A 2.2A.A.2A$6.3B2AB2A4B7.A.3BAB.BA3B.A20.B53.B3.4B2.12B8.A3.4A.A.3A.A5.
A24.2B62.A2.4A2.2A.A.A.2A$7.4BA6B7.B3ABA3.AB3AB18.4B50.23B6.BA.A2.A3. 5B3.A5.3A12.B.3B.B3.2B65.A3.2A4.A$8.13B5.B2A.5B.2AB18.3BA3B48.23B2.3B
.B2A4.3A.3B.3A9.A10.16B63.3A.A.3A$8.6BA5B2A6.BA5BAB12.4B4.2B2A5B45. 31B8.A5BA10.2A3.B5.2B2A14B64.A3.A$7.8BA4B2A8.5A13.2A5B.2BA2BA5B44.31B
9.5A11.8B3.2B2A15B$7.7BA7B8.5B12.B2A8BABA5B4.4B38.29B10.5B13.8B.18B 46.A4.5B10.A$7.15B8.4B13.9BA2B2A3B4.2B4A39.29B9.3B15.27B45.A.A3.5B10.
A24.A$7.17B6.4B13.9B3A5B2.2ABA4BA38.9B.21B6.5B13.15B.2B.3B.7B.2A40.A. A3.7B6.4B13.6B3.A.A$7.20B2.7B10.17B.BA3BA4BA37.9B6.20B2.7B10.17B5.10B
A.A41.A4.10B2.7B10.7B3.A.A$4.A2.16BD13B2.2B2.19B.2BA2B.B2A.3B35.9B8. 15BD13B2.2B2.19B6.9B.BA47.6BD13B2.2B2.10B4.A$3.A.A.9B.4BDBD22BD16B.BA
2BA4B2AB36.2B3.5B7.7B.4BDBD22BD15B7.8B50.4BDBD22BD6B$4.A2.6B.B2.4B3D 22BDBD4B.7B3.BA2BAB.BA2BAB35.B7.2A7.6B2.4B3D22BDBD4B.7B8.8B50.4B3D22B DBD4B$7.5B5.4BD24B3D4B2.6B4.B2A4BA2BAB43.A7.6B3.4BD24B3D13B9.7B49.4BD
24B3D4B$8.2B2AB5.30BD5B.2BA4B3.3B.2AB.2BAB44.3A4.4B6.30BD14B8.6B51. 30BD4B$6.2AB.A.BA11.4B.25B.2BA3B4.A4BA3BAB46.A4.2B2AB12.4B.22B2.8B9.
6B58.4B.22B$5.A.AB2.2A.A11.4B.9B.B.2B7.6B2AB5.A4BAB2A51.2AB.2A14.4B. 9B.4B11.6B9.7B58.4B.9B$5.A8.A12.11B5.3B7.5BABA6.4A2B52.A.AB18.11B2.4B
12.5B10.8B2.2A.A52.11B$4.2A8.2A8.2B2.9B5.2BA2B.2A4.8B5.4B54.A22.9B2. 4B14.4B8.12BA.2A53.9B$23.3B3.11B3.A.A2B.A5.7B62.2A23.13B15.3B9.11B59.
11B$23.B2A15B2.2AB2.A7.6B86.13B17.4B7.5B2A4B58.13B$22.AB2A2B.12B6.A8.
2B3A2B86.12B19.2A7.5B2A3B60.12B$21.A.4B2.12B2.5A.A6.2BA7B83.12B19.A8. 10B60.12B$19.4B.A5.2B.4B3AB2.A4.2A6.B3A7B81.9B3AB20.3A5.9B62.2B.4B3AB
$18.2B2ABA10.4BA2B3.3A9.12B80.2A3.5BA2B22.A5.9B66.4BA2B$18.2B2AB11.2B
3A3B4.A.2A6.12B81.A4.2B3A2B29.8B58.A2.A4.2B3A3B$20.3B12.6B6.A.A6.12B 78.3A6.6B28.8B59.A$20.2B13.7B13.13B9.2B67.A8.7B28.6B59.A4.A$21.2B3.4B 4.9B11.4B2.7B9.3A76.8B21.2A4.6B10.2A46.A.A2.2A$24.2B4A6.ABA5B9.4B2.8B
9.3BAB75.8B21.A4.6B10.A45.2A.A$22.2ABA4BA5.B2A6B7.4B.9B9.A3BAB75.8B 21.A.AB.7B6.BA.A$20.BA3BA4BA4.3BA2B.25B7.A.A2BA75.6B2.B2A20.2AB2.6B6.
B2A$20.BA2B.B2A.3B3.4BA2B.26B3.A2BA.A77.7B.BA.A21.8B5.3B48.A2.A$20.BA
2BA4B2AB4.6B2.26B.BA3BA79.6B4.A21.8B4.4B50.2A$20.BA2BAB.BA2BAB3.7B. 26B.BA3B80.6B4.2A21.8B2.4B$21.B2A4BA2BAB.37B2.3A80.6B28.7B.4B$21.3B. 2AB.2BA2B.19B2.2B2.10B3.2B80.8B28.10B$22.A4BA3BAB.17B9.B.7B85.8B29.9B
$22.A4BAB2A2.5B3A9B11.B.6B85.9B5.A22.8B$23.4A2B4.3B2A2BA9B9.4B2.3B86.
9B5.3A20.8B.2B$23.4B4.5BABA8B2AB7.2B4A2.3B85.10B8.A19.13B$30.5BA2BA2B
.5B2A6.2ABA4BA2.B86.3B2A5B7.2A19.13B$31.5B2A2B4.4B5.BA3BA4BA88.4B2A5B 7.4B17.14B$33.3BA3B13.BA2B.B2A.3B87.11B9.3B15.14B$35.4B14.BA2BA4B2AB 82.2A.A12B8.4B14.4B2.10B$36.B16.BA2BAB.BA2BAB81.A.2A2.8B10.5B12.4B2.
11B.B$37.2B15.B2A4BA2BAB88.7B9.6B11.4B.14B2A$37.3A14.3B.2AB.2BAB89.6B
9.8B2.26B2A$35.BA3B15.A4BA3BAB89.6B8.38B$35.BA3BA14.A4BAB2A90.7B9.37B
$36.A2BA.A14.4A2B93.8B8.7B.24B$38.A.A2BA12.4B95.8B7.31B2A$39.A3BAB 107.AB.9B6.19B2.2B2.6B2AB.B$40.3BAB106.A.A10B5.17B11.8B2A$40.3A108.2A .7B.3B.2B.15B15.4B.B2A$41.2B113.27B17.2B3.B$156.18B.8B16.2B$155.15B2A
2B3.8B13.B2AB$156.14B2A2B5.B3.2A14.2A$157.16B10.A$160.2B3.B.3B.B12.3A$160.2B24.A$158.6B$156.2B6A2B$154.3BA6BA3B$153.3BA8BA3B$154.3BA6BA3B$
156.2B6A2B$158.6B$160.2B!
The Herschels are lined up at T=0 to make it clear that the P4, P5, and P6 variants have the same basic geometry.

I also replaced the blocker in the P4 version with a stable eater, since it fits -- though I'm not really clear why that would be an improvement. I forget, has this p4 variant of the Herschel splitter been assembled before?

GUYTU6J
Posts: 1259
Joined: August 5th, 2016, 10:27 am
Location: 拆哪！I repeat, CHINA!
Contact:

Wait, I'm a bit confused of the relationship —

Code: Select all

x = 126, y = 63, rule = B3/S23
37b3o$36bo$36bo3bo$36bo2bobo$20b4o14bobo2bo$16b2obo4bo14bo3bo$15bo3bo
4bo18bo$15bo4b2o18b3o65b2o$15bo2bo4b2o83b2o5b2o$15bo2bo3bo2bo65b3o21b 2o$16b2o4bo2bo65b3o$19b2o4bo17bo47b3o$16bo4bo3bo16b2o40b2o8b3o16b2o$16bo4bob2o6b2o8bo2bo39b2o8b3o16b2o$17b4o10b2o8bobo50b3o22b2o$39bo2b2o 9b4o62b2o$39b3o7b2obo4bo20b2o$48bo3bo4bo20b2o$48bo4b2o27b2o27b2o$4b3o 41bo2bo4b2o24b2o$7bo40bo2bo3bo2bo$3bo3bo41b2o4bo2bo62b3o$2bobo2bo32bo
11b2o4bo62b3o$o2bobo35bo7bo4bo3bo18b2o42b3o$o3bo36b2o6bo4bob2o19b2o39b
3o$o40bobo6b4o64b3o$b3o98b2o14b3o$103bo$98b3o2b2o$41b3o52b3obo3bo6b3o$
41bo54bo4bob2o6bo$20b3o17b3o47b3o7bobo7b3o$21bo69bo6b2obo4bo$19b3o67b 3o6bo3bob3o$98b2o2b3o$99bo$59b3o20b3o14b2o$9b4o6bobo40bo19b3o$5b2obo4b
o6b2o36bo3bo19b3o39b2o$4bo3bo4bo7bo35bobo2bo16b3o42b2o$4bo4b2o11bo32bo
2bobo18b3o$4bo2bo4b2o41bo3bo19b3o$4bo2bo3bo2bo40bo$5b2o4bo2bo41b3o60b 2o$8b2o4bo75b2o27b2o$5bo4bo3bo108b2o$5bo4bob2o7b3o99b2o$6b4o9b2o2bo58b 2o$19bobo8b2o10b4o36b2o22b3o$18bo2bo8b2o6b2obo4bo41b2o16b3o8b2o$19b2o
16bo3bo4bo41b2o16b3o8b2o$19bo17bo4b2o65b3o$37bo2bo4b2o62b3o$37bo2bo3bo 2bo38b2o21b3o$38b2o4bo2bo38b2o5b2o$20b3o18b2o4bo45b2o$19bo18bo4bo3bo$19bo3bo14bo4bob2o$19bo2bobo14b4o$21bobo2bo$22bo3bo$26bo$23b3o!
According to the DRH-oscillators.rle, the p128 on the left was found by David Buckingham before November 1991. It features four copies of the dependent p8 variant of R64. So does that mean it probably inspired him to discover the stable, FNG-releasing R64 (and consequently the p256 glider gun) four years later?
Lifequote:

Chuangtse wrote: What we love is the mystery of Life. What we hate is corruption in death. But the corruptible in its turn becomes mysterious life, and this mysterious life once more becomes corruptible.

dvgrn
Moderator
Posts: 7554
Joined: May 17th, 2009, 11:00 pm
Contact:

GUYTU6J wrote:
July 30th, 2020, 5:59 am
Wait, I'm a bit confused of the relationship —
...
According to the DRH-oscillators.rle, the p128 on the left was found by David Buckingham before November 1991. It features four copies of the dependent p8 variant of R64. So does that mean it probably inspired him to discover the stable, FNG-releasing R64 (and consequently the p256 glider gun) four years later?
I think that's right. Most of the story seems to be told in this article. The story actually started back in 1973 with Mark Niemiec (see second paragraph) (!).
At almost the same time in 1973, Mark Niemiec was investigating appearance of known common forms (B, R, Lom, Pi, etc) within the histories of these same objects. He showed me a listing of the most promising observation: a B-heptomino run to 70 generations (quite a feat in those days!), where he had highlighted the evolution of a new B-heptomino at generation 64, turned 90 degrees. And since the B-heptomino releases a natural glider in generation 41, period 64, 128, and 256 guns appeared to be an absolute certainty as soon as someone tamed the pesky debris behind this new B! But most work in those days was done manually (gasp!) and this was not a manual job.
In 1990/91,
Resurrecting Niemiec's old listing of the B-heptomino reproducing itself at generation 64, I set about to create the period 64 gun to start.

I needed a spark source and since most of the neat spark toys that exist now had yet to fall out the search programmes, only period 8 (and subperiods) was practical (Figure-8, Kok's Galaxy, Emulators, Mold, Mazing).

With these tools, the new B-heptomino was quickly isolated, but the new (and unanticipated challenge was to remove the block created by the B-heptomino at generation 15. Adding to this distress, the new B-heptomino makes such a sharp turn that removal of debris block from the previous B-heptomino at generation 57 becomes a problem. Ok, the debris removal process would need to remove the two blocks and the residual debris from the turn reaction.

After a few weeks work, the reaction is found, the P64 gun constructed and lo and behold, the glider produced by each B at generation 41 smashes into one of the Galaxys used. Sheesh, I forgot that the glider passes back through the mechanism! No problem, we'll just find another way to turn a B-heptomino and use these two in combination. More work and the elegant sparking of a B-heptomino to produce the P73 glide symmetry turn; debris dies cleanly, while removing the generation 15 block, and the glider produced by the B removes the block from the previous B. This time we'll test a quarter of the mechanism before building the whole thing. Now the glider just nicks the figure-8 for the P73 turn. Even more work, a P64 turn that removes the debris, both blocks, and the glider.
Then 1995:
Attempts to produce period-independent track pieces (bounded only by still lifes) had failed over the previous 23 years to yield much of anything useful. Suddenly (clouds open, sun shines, angels sing) a fluke placement of a block (and subsequent stabilizing blocks), produces the period 64 B-heptomino turn dreamt of in 1973 (as classy and elegant as it was supposed to be). This was the first period independent B-heptomino turn and yielded the P256 gun ... but since the released gliders pass through the mechanism, this is the only period glider gun possible (with a Figure 8, the gliders can be removed, and 4 B's cycled, but defeats the purpose). Ergo, still no period 64 gun!
I like the "clouds open, sun shines, angels sing" part. That kind of discovery doesn't show up very often, but it sure is awesome when it happens.

mniemiec
Posts: 1217
Joined: June 1st, 2013, 12:00 am

The one part of that story that seems a bit fuzzy to me is the date. I printed off that step-by-step listing of the B heptomino (which took up a lot of paper), but I thought it might have been on the University of Waterloo Math/Unix system, which would have put it more like 1975, but I'm sure Dave's recollection of the process is better than mine, as he was actively involved in the search for several decades. It may very well have been somewhere else; I just can't think of where it was that had a printer whose typeface was like that. I might still have that listing in a box somewhere. It's hard to remember details with great clarity that happened almost 50 years ago.

I remember noticing that the B turned 90 degrees after 64 generations (and, not only that, it made two Bs heading in opposite directions, although one looked much easier to save than than the other). I played with that for several weeks without any success. Of course, the initial block was a major obstacle. One of the key discoveries that Dave made that hadn't occurred to me was that instead of going B-to-B, one should go H-to-H (which is the preferred method today), which eliminates the block problem.

ColorfulGalaxy
Posts: 300
Joined: July 16th, 2020, 3:37 am
Location: China
Contact:

Has anybody found this "Mathematician weld mathematician weld mathematician weld..." agar?
Also, what's the first known p5 agar?

Code: Select all

x = 17, y = 17, rule = B3/S23:T18,18
6b9o$5bo9bo$6b9o2$6b3o3b3o$bo4bo7bo$obob2o2b2ob2o2b2o$obobo4bobo4bo$o bobobo2bobo2bobo$obo3b3o3b3o$obo$obo3b3o3b3o$obobobo2bobo2bobo$obobo4b
obo4bo$obob2o2b2ob2o2b2o$bo4bo7bo$6b3o3b3o! Edit: I searched LifeWiki for "p5 agar" but failed. Code: Select all x = 9, y = 9, rule = LifeColorful 6E.2B$6E.2B$7.2B$2D5.2B$2D5.2B$2D5.2B$2D$2D.6C$2D.6C! List of helpful topics wwei23 Posts: 2408 Joined: May 22nd, 2017, 6:14 pm Location: The (Life?) Universe ### Re: Thread for your unsure discoveries Century puffer based off of the Schick engine. Known or new? Code: Select all x = 47, y = 58, rule = Life 4$22bo5bo$21b3o3b3o$20b2obo3bob2o$20b3o5b3o$21b2o5b2o2$25bo$24b3o$23bo 3bo3$23b2ob2o$25bo7bo$32b3o$31b2obo$23bo3bo3b3o$14bo7bobobobo2b3o$13b
3o7b5o4b2o$13bob2o6b2ob2o$14b3o7bobo$14b3o7b3o$14b3o19bo$14b2o19b3o$
34b2obo$34b3o$34b3o$34b3o$35b2o2$26b3obo$26b3ob2o2$30bobo2$29b3o$27b2o bo$26bo3bo$27b3o$28bo8$27b2o$26bobo\$27bo!
@Hunting so we're making a referential signature chain?
Stop being mean to MathAndCode!
LeapLife has fun drifters!