I'm looking for period multiplicating Herschel Tracks.

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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confocaloid
Posts: 1655
Joined: February 8th, 2022, 3:15 pm

Re: I'm looking for period multiplicating Herschel Tracks.

Post by confocaloid » February 15th, 2023, 8:02 am

Well, this does simplify things:
Moosey wrote:
October 4th, 2019, 3:58 pm
It makes a very nice edgy & sparky eater:

Code: Select all

x = 15, y = 15, rule = B3/S23
14bo$12b3o$4b2o5bo$2b3obo4b2o$bo4bo$2b3obob2o$4bobo2bo$7b2o4$2o$b2o$2o
$o!
Probably there is a comparably simple solution for the other spark as well? Here's an engineered one, in the form of a p107879 (= 233 x 463) gun. The next two-spark collision creates an escaping glider, and second two-spark collision creates a block which is then removed by the top spark:

Code: Select all

x = 249, y = 114, rule = LifeHistory
60.A$51.2A5.3A$52.A4.A$52.A.AB2.A5.2A$42.2A9.A.A2B.A4.A$41.B2AB9.A2B.
2A5.A$42.2B9.3B4.2A2.2A$13.2A26.2B3.5B2.2B5.A.A$12.B2A2B23.B2AB.12B5.
A.4A$13.4B17.A5.A.A15B2.B2A.A2.A$11.6B15.3A6.A.16B.BA2BA$11.6B14.A10.
20B2A$10.5B16.2A10.21B$10.6B13.4B10.20B$9.7B12.3B5.B.24B$9.7B11.4B.
13B.15B$10.7B3.39B$10.7B2.37B$10.7B.38B$10.31B2A14B$7.B2.31B2A14B$6.
2AB.19B2.2B3.21B2.2A2.2A.2A$6.2A18B11.20B2.A.A2.A.A.A$7.2B.17B13.6B4.
7B3.B.2A2.A.A$10.19B13.3B5.7B2.2B2.A.A.A$8.21B15.B6.6B.2BAB.A2.A$7.
22B15.2A5.8BA.A.3A64.2A$7.20B.B2A14.A5.8B.A.A66.A.A$8.17B3.BA.A10.3A
7.5B4.A2.2A57.2A4.A$9.8B2.6B6.A10.A9.6B4.2A.3A53.A2.A2.2A.4A$9.7B4.6B
5.2A18.6B6.B4.A52.2A.A.A.A.A2.A$10.6B4.6B25.7B3.B2AB3A56.A.ABABAB$9.
6B6.6B25.8B.B2A.A58.A.AB2AB$7.2AB.2B8.3BA3B2.B21.6B3AB63.AB.2B$6.A.AB
11.2BABA7B18.6BA2BAB66.3B$6.A14.2BABA7B12.2A5.5BA4B66.4B6.2A$5.2A14.
3BA9B12.A5.5B2A3B64.3B2AB6.A$19.2AB.11B12.A.AB2.10BA63.3B2AB3.BA.A$
18.A.AB2.9B14.2AB.5BA2BABAB61.10B.B2A$18.A7.7B16.6BABA6B59.13B$17.2A
7.6B17.16B57.14B$27.4B18.16B.2B53.15B$17.4A5.4B19.18B2A51.4B2.8B$16.A
3.A4.4B19.17B.B2A50.4B5.6B71.A11.2A$15.A.A6.4B19.4B2.8B.4B.B50.4B4.9B
69.A.A9.B2AB$14.BA.A5.4B19.4B4.7B56.4B5.2A4.4B60.A3.2A2.A.A9.3B$13.3B
A5.4B19.4B5.6B56.4B7.A5.4B58.A.A2.A2.2A.2A9.B.B$11.4B6.4B19.4B6.4B57.
4B5.3A7.4B57.A.A3.A.A2.B8.5B$9.6B5.4B19.4B5.A3B44.A13.4B6.A10.4B57.A.
4A2.2A2B6.6B$8.7B4.4B19.4B5.A.AB45.3A10.4B19.4B58.A3.A.A.2A4.8B$.B.4B
.8B2.4B19.4B6.A.A49.A8.4B21.4B39.2A15.A2.BA.A2.13B$2AB.17B19.4B4.A3.A
49.2A7.4B23.4B39.A14.A.2BA.A5.A12B$2A18B19.4B5.4A50.5B3.4B25.4B10.2A
26.A.AB11.2A.2BA5.A14B$.2B.16B18.4B62.3B2.4B27.4B9.A28.2AB.2A12.3B4.
2A13B$4.16B17.6B7.2A42.2A7.9B29.4B10.A28.BA2BA12.2B.B.3B5A9B$5.6BABA
6B16.7B7.A43.A8.8B24.2A5.4B5.5A28.BA2B6.15B2A12B$6.BABA2BA5B.B2A14.9B
2.BA.A40.2A.A.B3.10B26.A5.4B4.A33.BA2BAB3.31B$6.A10B2.BA.A12.11B.B2A
41.A2.3AB.2B2A7B26.A.AB.7B2.B3A31.BAB2AB2.32B$7.3B2A5B5.A12.9BA3B14.
2A28.2A2.BA3B2A7B27.2AB.7B3.2B.A19.2A9.7B.27B3.B2A$7.4BA5B5.2A12.7BAB
A2B14.A31.4A12B29.12B4A18.B2A2B6.35B4.A2.A$7.BA2BA6B18.7BABA2B11.BA.A
31.A.2B3.7B.B2A27.7B2A3BAB2.2A13.B3.4B5.2ABA16B2.2B2.B3.6B5.2A.A$7.B
3A6B21.B2.3BA3B8.2B.B2A33.3AB2.7B.BA.A26.7B2A2B.B3A2.A10.2B2A6B.7BA
13B14.6B7.A$3.A.2AB.8B25.6B6.6B38.A4.4B5.A8.A17.10B3.B.A.2A10.2B2A11B
A7BABA4B14.9B6.2A$.3AB2AB3.7B25.6B4.6B34.5A5.4B5.2A5.3A16.A7B8.A12.
16BA3BA3BABA3B15.2A4.4B$A4.B6.6B18.2A5.6B4.7B33.A10.4B10.A9.2A7.B2A6B
7.2A12.17BA2BA4BA5B15.A5.B3A$.3A.2A4.6B9.A10.A6.6B2.8B35.A9.3BA9.2A7.
B2AB5.BABA2.3B23.17B3A10B12.3A7.A3B$3.2A2.A4.5B7.3A10.A.AB3.17B33.2A
10.ABAB5.5B7.3B5.4B3.5B22.22B2.3B.B2A10.A10.A3B$6.A.A.8B5.A14.2AB.20B
45.2A2B3.4B10.B.B3.4B7.2A22.22B6.BA.A21.4B$3.3A.A.A8B5.2A15.22B46.3B.
7B7.6B.4B8.A22.ABA6B3.12B8.A22.4B$2.A2.A.BA2B.6B6.B15.21B48.10B7.10B
10.3A18.B2A6B5.12B7.2A22.4B$.A.A.A2.2B2.7B5.3B13.19B52.2A7B3.12B7.2A
4.A17.3BA3.5B6.10B31.4B7.2A$A.A2.2A.B3.7B4.6B13.17B.2B49.2A7B2.12B8.A
22.4B7.2A6.6B.4B31.4B5.B2AB$A.A.A2.A.A2.20B11.18B2A49.21B6.BA.A21.4B
8.A9.B.B3.4B31.4B5.3B$.2A.2A2.2A2.21B3.2B2.19B.B2A51.9BA3BA5B2.3B.B2A
10.A10.4B10.3A5.3B5.4B31.4B3.B.B$12.14B2A31B2.B49.2B.2B3C2B3A2BA2BA
10B12.3A7.4B13.A5.B2AB5.4B31.4B.6B$12.14B2A31B51.2A4BC6BA3B2A11B15.A
5.4B21.2A7.4B31.10B7.2A$13.38B.7B51.2AB.2B3C3BA16B15.2A4.4B32.4B22.2A
7.9B7.A$13.37B2.7B52.B2.8BA17B14.9B6.2A26.4B22.A8.10B2.BA.A$10.39B3.
7B54.7B.21B14.6B7.A28.4B21.A.AB6.10B.B2A$8.15B.13B.4B11.6B.BA51.7B5.
20B2.2B2.B3.6B5.2A.A29.3BA10.A10.2AB.3B2.12B$7.24B.B5.3B12.7BA.A51.6B
6.35B4.A2.A31.3BA7.3A12.10B3A6B$6.20B10.4B13.8BA52.6B7.7B.27B3.B2A33.
3AB5.A15.5BA4BA2BA5B$5.21B10.2A15.6B.B52.7B7.6B2.16B2A14B35.4B4.2A15.
3BABA3BA3BA4B$5.2A20B10.A15.5B55.7B6.6B3.16B2A13B29.2A6.9B14.4BABA7BA
3B$4.A2BAB.16B.A6.3A16.6B55.6B6.4B6.29B31.A7.6B14.13BA5B$.A2.A.2AB2.
15BA.A5.A16.2AB.5B53.6B7.2B2AB12.4B.17B31.A.2A5.6B3.B2.2B2.16BAB2AB$.
4A.A5.12B.B2AB21.A.AB3.4B52.6B5.2AB.2A14.2B3.15B33.A2.A4.35B$6.A.A5.
2B2.5B3.2B22.A7.4B23.A27.6B4.A.AB16.3B3.15B34.2AB3.27B.7B$3.2A2.2A4.
3B9.2B22.2A8.4B22.3A12.B.3B.B7.2D2B5.A15.2A.2BA5.13B36.32B2.B2ABAB$3.
A5.2A.2BA9.B2AB32.4B24.A10.13B.B2DB5.2A15.A.2BA.A2.13B39.31B3.BA2BAB$
4.A4.A.2BA.A9.2A34.4B10.A11.AB3.B5.2B2A14B24.A2.BA.A.2A4.8B39.12B2A
15B6.2BAB$3.2A5.A2.BA.A45.4B7.3A11.A2BA4B3.19B24.A4.AB2A6.6B39.9B5A3B
.B.2B12.A2BAB$11.A4.A46.4B5.A16.2B2A4B.A2BA16B21.A.5A2.B8.5B40.13B2A
4.3B12.2A.B2A$8.3A5.2A46.4B4.2A15.AB5A2BA13B3.4B19.A.A4.A.2A.A.2A5.B.
B40.14BA5.A2B.2A11.BA.A$8.A48.2A6.9B14.2B3A3B3AB2AB.2B2.4B4.4B19.A2.
2A.A2.A.2A.A4.3B42.12BA5.A.A2B.A14.A$58.A7.6B14.14B2AB5.4B5.4B19.2A.A
.2A11.B2AB43.13B2.A.AB2.A15.2A$58.A.2A5.6B3.B2.2B2.12BA4B2A6.2B2AB5.
4B37.2A43.8B4.2A.A.A3.A$59.A2.A4.19BD9BA2BA2B5.A.A2BAB5.4B81.6B6.2B2A
2.4A.A$60.2AB3.20BDBD4B.3B3AB4.3A.A.2AB6.4B80.5B8.B2.A.A3.A.A$61.14B
2A9B3D13B2.A4.A2.4B5.4B79.B.B9.2A.2A2.A2.A.A$62.13B2A11BD14B2.3A.A4.
2A6.4B79.3B9.A.A2.2A3.A$63.19BA9B2.8B5.2A5.A8.4B77.B2AB9.A.A$63.17B.B
ABA11.6B13.3A6.4B77.2A11.A$64.15B3.2A12.5B16.A7.4B$64.15B3.3B12.4B25.
4B$65.13B5.A2B.2A8.3B27.4B$67.13B2.A.A2B.A9.4B26.4B$66.8B4.2A.A.AB2.A
12.2A27.4B$66.6B6.2ABA4.A13.A29.4B$66.5B8.B2.5A.A12.3A27.3B$66.B.B5.
2A.A.2A.A4.A.A13.A29.BCE$67.3B4.A.2A.A2.A.2A2.A44.BE.E$66.B2AB11.2A.A
.2A48.E$67.2A67.2E!
dvgrn wrote:
February 14th, 2023, 6:09 pm
That can be simplified a bit -- no need for two trombone slides when there's room to adjust the longer one to make up for the absence of the other one (-128 ticks):
I guess this shows my lack of practice - actually I did attempt to use just one trombone slide first, but somehow got confused and thought the glider arrives too late in that case...
127:1 B3/S234c User:Confocal/R (incomplete table of INT rules)
Unlikely events happen.
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User avatar
confocaloid
Posts: 1655
Joined: February 8th, 2022, 3:15 pm

An engineered stable 7x pulse divider

Post by confocaloid » August 30th, 2023, 9:32 am

Stable 7x pulse divider, repeat time 82, bounding box probably can be significantly reduced:

Code: Select all

x = 181, y = 141, rule = LifeSuper
46.2A2.A$45.A.4A$45.A$43.2A.7A$41.A2.A.A3.B2.A$41.2A2.BA.2A2.2A$45.2A
B2AB$45.5B$46.3B$45.5B$45.6B$43.8B6.2A$43.5B2A2B5.A$44.4B2AB3.BA.A$
43.10B.B2A$42.13B$41.14B5.A$40.15B3.3A$39.4B2.8B4.A$38.4B5.6B4.2A$37.
4B4.14B12.A$36.4B5.2A2.8B12.3A$35.4B7.A2.9B10.A$34.4B5.3A4.8B2.3B5.2A
$33.4B6.A5.10B.4B.5B$32.4B13.15B.3B$31.4B14.21B$30.4B4.A9.23B$29.4B5.
3A6.24B$28.4B9.A4.24B$27.4B9.2A3.23B$26.4B10.29B$25.4B7.2A4.27B$22.D.
4B7.A.BAB.28B$21.HD4B8.A.2AB2.27B$21.HD3B8.2A.B.B3.26B$21.HD2B8.A3.2A
2B2.14B.12B92.2M$21.HDB10.3A2.AB.12B5.12B91.2M$21.HD14.2ABA12B7.7B.4B
$21.HD13.A2.A13B7.7B2.4B$21.HD13.2A2.13B6.7B4.4B$21.H18.12B7.7B5.4B
10.2A82.2M$41.12B2.B4.6B6.4B9.A83.2M$41.12B.B2A4.4B8.4B10.A$40.15B2A
5.3B2.2A5.4B5.5A$39.14B.2B7.B4.A5.4B4.A$38.4B2.9B15.A.AB.7B2.B3A$37.
4B3.8B17.2AB.7B3.2B.A$36.4B7.4B20.12B4A$35.4B6.4B22.7B2A3BAB2.2A$34.
4B7.2A24.7B2A2B.B3A2.A$33.4B9.A24.10B3.B.A.2A$32.4B7.3A24.8B8.A$31.4B
8.A25.9B7.2A63.M.M23.M$30.4B34.4B2.3B73.2M22.3M$29.4B22.2A10.4B3.5B
72.M6.2M7.M5.M$28.4B24.A9.4B7.2A60.M17.2M.M7.M4.2M$27.4B23.A10.4B8.A
59.3M17.M2.M6.M.M$26.4B24.5A5.4B5.2A3.3A55.M20.3M$25.4B30.A4.4B5.A6.A
54.M.M20.2M4.M.M3.2M$24.4B28.3AB2.7B.BA.A61.M.M26.4M.2M$23.4B28.A.2B
3.7B.B2A63.M27.M2.3M$22.4B29.4A12B95.2M$21.4B28.2A2.BA3B2A7B95.M$20.
4B28.A2.3AB.2B2A7B$19.4B29.2A.A.B3.10B$18.4B33.A8.8B48.2M10.3M$17.4B
34.2A7.9B47.2M9.M3.M40.2M$16.4B45.3B2.4B56.M5.M34.2M2.M2.M$3.2A10.4B
44.5B3.4B10.2A43.M5.M19.2M13.M.M2.2M$4.A9.4B45.2A7.4B9.A44.3M.3M18.M.
M16.2M$2.A10.4B47.A8.4B10.A52.2M13.M19.M$2.5A5.4B5.2A38.3A3.2A5.4B5.
5A52.M.M11.2M16.M2.M.2M$7.A4.4B5.A39.A6.A5.4B4.A59.M28.M.M.2M.M$4.3AB
2.7B.BA.A46.A.AB.7B2.B3A56.2M28.M.M$3.A.2B3.7B.B2A48.2AB.7B3.2B.A86.M
2.2M$3.4A12B52.12B4A87.2M.3M$.2A2.BA3B2A7B52.7B2A3BAB2.2A34.M.2M53.M$
A2.3AB.2B2A7B52.7B2A2B.B3A2.A31.3M.2M47.2M.3M$2A.A.B3.10B52.10B3.B.A.
2A30.M53.2M.M$3.A8.8B50.8B8.A34.3M.2M41.M$3.2A7.9B48.9B7.2A36.2M2.M
38.2M$13.3B2.4B46.4B2.3B49.M.M6.M21.2M8.M$11.5B3.4B32.2A10.4B3.5B43.M
.2M.M.M6.M9.M11.M8.M.M$11.2A7.4B32.A9.4B7.2A43.2M.M2.M4.M.3M6.3M11.M.
M$12.A8.4B29.A10.4B8.A47.M6.2M2.2M5.M15.2M7.3M$9.3A10.4B28.5A5.4B5.2A
3.3A44.2M5.2M2.2M5.2M$9.A13.4B32.A4.4B5.A6.A42.2M2.M.M$24.4B28.3AB2.
7B.BA.A48.M2.M2.2M6.2M$25.4B26.A.2B3.7B.B2A50.2M7.M4.M41.2M$26.4B25.
4A12B61.M4.M41.2M$27.4B22.2A2.BA3B2A7B63.M.M$28.4B20.A2.3AB.2B2A7B51.
2M34.3M$29.4B19.2A.A.B3.10B52.M36.M$30.4B21.A8.8B51.M.M33.M$31.4B20.
2A7.9B51.2M38.M$32.4B29.3B2.4B89.M.M$33.4B26.5B3.4B10.2A63.2M11.M.M$
34.4B25.2A7.4B9.A66.M11.M$35.4B25.A8.4B10.A54.2M5.M.M9.3M$36.4B21.3A
3.2A5.4B5.5A54.2M6.M10.M$37.4B20.A6.A5.4B4.A60.M$38.4B26.A.AB.7B2.B3A
59.2M$39.4B26.2AB.7B3.2B.A57.M2.M$40.4B27.12B4A32.H25.M.M$41.4B26.7B
2A3BAB2.2A29.DHM25.M$42.4B8.2A15.7B2A2B.B3A2.A28.DHM.M15.2M$43.4B7.A
16.10B3.B.A.2A28.DH2M16.2M$44.4B3.BA.A15.8B8.A30.BDH$45.5B.B2A15.9B7.
2A29.2BDH$46.6B16.4B2.3B38.3BDH$47.5B15.4B3.5B35.4BDH$44.B.6B14.4B7.
2A34.4B.D$43.A8B13.4B8.A34.4B$42.A.A7B12.4B10.3A6.A23.4B$43.AB.6B11.
4B.3B.B7.A4.3A22.4B$46.7B3.18B10.A24.4B$46.7B2.16B2A2B5.B3.2A11.A10.
4B$46.8B.16B2A2B3.8B11.3A7.4B$47.7B.20B.8B16.A5.4B$43.B2.38B15.2A4.4B
$42.2AB.19B2.2B.15B14.9B6.2A$42.2A18B8.17B14.6B7.A$43.2B.14B11.19B2.
2B2.B3.6B5.2A.A$46.13B12.35B4.A2.A$46.14B12.7B.27B3.B2A$46.14B11.25B
2A14B$46.8B.3B.B2A8.26B2A13B$46.7B6.BA.A8.8B2.29B$48.4B10.A8.6B11.4B.
17B$47.B2A2B10.2A8.5B12.2B3.15B$48.2A22.4B12.3B3.15B$73.3B8.2A.2BA5.
13B$71.4B9.A.2BA.A2.13B$71.2A12.A2.BA.A.2A4.8B$72.A13.A4.AB2A6.6B$69.
3A12.A.5A2.B8.5B$69.A13.A.A4.A.2A.A.2A5.B.B$84.A2.2A.A2.A.2A.A4.3B$
85.2A.A.2A11.B2AB$104.2A!

Code: Select all

x = 181, y = 141, rule = B3/S23
46b2o2bo$45bob4o$45bo$43b2ob7o$41bo2bobo6bo$41b2o3bob2o2b2o$45b2ob2o5$
57b2o$48b2o7bo$48b2o5bobo$55b2o2$60bo$58b3o$57bo$57b2o$71bo$45b2o22b3o
$46bo21bo$43b3o22b2o$43bo3$38bo$38b3o$41bo$40b2o2$36b2o$35bo2bo$35bob
2o$34b2o$33bo3b2o123b2o$34b3o2bo122b2o$37b2obo$36bo2bo$36b2o$85b2o82b
2o$85bo83b2o$55b2o30bo$55b2o10b2o14b5o$68bo13bo$68bobo12b3o$69b2o15bo$
83b4o$78b2o3bo3b2o$45b2o31b2o4b3o2bo$46bo39bob2o$43b3o40bo$43bo41b2o
89bo$174b3o$55b2o116bo$56bo20b2o60bo17b2o14b2o$54bo22bo59b3o17b2o$54b
5o14b2o3b3o55bo$59bo13bo6bo54bobo$56b3o12bobo61bobo$55bo15b2o63bo$55b
4o$53b2o3bo3b2o$52bo2b3o4b2o$52b2obo$55bo64b2o$55b2o63b2o54b2o$171b2o
2bo2bo$3b2o80b2o69b2o13bobo2b2o$4bo58b2o20bo69bobo16b2o$2bo61bo22bo52b
2o13bo19bo$2b5o14b2o38b3o3b2o14b5o52bobo11b2o16bo2bob2o$7bo13bo39bo6bo
13bo59bo28bobob2obo$4b3o12bobo46bobo12b3o47b2o7b2o28bobo$3bo15b2o48b2o
15bo46b2o38bo2b2o$3b4o76b4o87b2ob3o$b2o3bo3b2o66b2o3bo3b2o34bob2o53bo$
o2b3o4b2o66b2o4b3o2bo31b3ob2o47b2ob3o$2obo82bob2o30bo53b2obo$3bo82bo
34b3ob2o$3b2o80b2o36b2o2bo38b2o$126bobo28b2o7b2o$55b2o65bob2obobo16bo
11bo$11b2o43bo20b2o43b2obo2bo15b3o11bobo$12bo41bo22bo47bo17bo15b2o$9b
3o42b5o14b2o3b3o44b2o16b2o$9bo49bo13bo6bo42b2o2bobo$56b3o12bobo48bo2bo
2b2o$55bo15b2o50b2o54b2o$55b4o120b2o$53b2o3bo3b2o$52bo2b3o4b2o58b2o34b
3o$52b2obo67bo36bo$55bo67bobo33bo$55b2o67b2o38bo$163bobo$85b2o63b2o11b
obo$63b2o20bo66bo11bo$64bo22bo54b2o5bobo9b3o$61b3o3b2o14b5o54b2o6bo10b
o$61bo6bo13bo60bo$68bobo12b3o59b2o$69b2o15bo57bo2bo$83b4o58bobo$78b2o
3bo3b2o31bo25bo$54b2o22b2o4b3o2bo30bobo15b2o$54bo31bob2o30b2o16b2o$52b
obo31bo$52b2o31b2o3$77b2o$43bo33bo$42bobo33b3o6bo$43bo36bo4b3o$84bo$
71b2o11b2o11bo$71b2o24b3o$100bo$99b2o$42b2o70b2o$42b2o70bo$111b2obo$
110bo2bo$111b2o$96b2o$60b2o34b2o$60bobo$62bo$48b2o12b2o$48b2o$84b2o3bo
$84bo3bobo$71b2o12bo3bobob2o$72bo13bo4bob2o$69b3o12bob5o$69bo13bobo4bo
b2obob2o$84bo2b2obo2bob2obo$85b2obob2o12b2o$104b2o!
All intermediate states are p1. The core reaction is a repeated 2G collision controlled by several fishhooks, a block and a chucklebait, producing three output pulses for every seven input pulses.
127:1 B3/S234c User:Confocal/R (incomplete table of INT rules)
Unlikely events happen.
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dvgrn
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Re: An engineered stable 7x pulse divider

Post by dvgrn » August 30th, 2023, 11:10 am

confocaloid wrote:
August 30th, 2023, 9:32 am
Stable 7x pulse divider, repeat time 82, bounding box probably can be significantly reduced...

All intermediate states are p1. The core reaction is a repeated 2G collision controlled by several fishhooks, a block and a chucklebait, producing three output pulses for every seven input pulses.
Nice construction! I'm still hoping that some day we'll come up with reasonably small elementary single-input 5x, 6x, and/or 7x pulse dividers. But this seems like a good line of research for an engineered 7x.

Here are a few experimental rebuilds of the mechanism, using a different "0e2" H-to-2G -- probably also nowhere near minimum size. I didn't try an NW31T120, which also produces two gliders in opposite directions but has fewer obstructing catalysts near the outputs -- might be worth a look.

Code: Select all

x = 630, y = 136, rule = LifeSuper
171.2M218.2M218.2M$171.2M218.2M218.2M4$178.2M218.2M218.2M$178.2M218.
2M120.2A96.2M$519.A.A$513.2A4.A$511.A2.A2.2A.4A$282.2A227.2A.A.A.A.A
2.A$281.A.A230.A.A.A.A$275.2A4.A232.A.A.2A$273.A2.A2.2A.4A229.A$273.
2A.A.A.A.A2.A$276.A.A.A.A245.2A$276.A.A.2A237.2A7.A$159.M.M23.M91.A
101.M.M23.M113.2A5.A.A70.M.M23.M$159.2M22.3M193.2M22.3M120.2A71.2M22.
3M$160.M6.2M7.M5.M107.2A88.M6.2M7.M5.M197.M6.2M7.M5.M$148.M17.2M.M7.M
4.2M97.2A7.A77.M17.2M.M7.M4.2M184.M17.2M.M7.M4.2M$146.3M17.M2.M6.M.M
102.2A5.A.A75.3M17.M2.M6.M.M187.3M17.M2.M6.M.M$74.2A69.M20.3M119.2A
75.M20.3M71.H124.M20.3M$73.A.A68.M.M20.2M4.M.M3.2M183.M.M20.2M4.M.M3.
2M59.HD122.M.M20.2M4.M.M3.2M$67.2A4.A70.M.M26.4M.2M184.M.M26.4M.2M60.
HD28.2A92.M.M26.4M.2M$65.A2.A2.2A.4A67.M27.M2.3M186.M27.M2.3M61.HD29.
A24.2A67.M27.M2.3M$65.2A.A.A.A.A2.A97.2M218.2M63.HD29.A.A23.A97.2M$
68.A.A.A.A100.M45.H173.M64.HD30.2A20.3A98.M$68.A.A.2A147.HD237.HD42.D
9.A$69.A151.HD28.2A25.2A180.HD42.D.D$129.2M10.3M77.HD29.A26.A69.2M10.
3M97.D42.2D63.2M10.3M$82.2A45.2M9.M3.M40.2M34.HD29.A.A21.3A70.2M9.M3.
M40.2M162.2M9.M3.M40.2M$73.2A7.A56.M5.M34.2M2.M2.M33.HD30.2A21.A82.M
5.M34.2M2.M2.M171.M5.M34.2M2.M2.M$73.2A5.A.A56.M5.M19.2M13.M.M2.2M34.
HD42.D93.M5.M19.2M13.M.M2.2M172.M5.M19.2M13.M.M2.2M$80.2A57.3M.3M18.M
.M16.2M36.HD42.D.D91.3M.3M18.M.M16.2M174.3M.3M18.M.M16.2M$149.2M13.M
19.M37.D42.2D102.2M13.M19.M81.2A101.2M13.M19.M$149.M.M11.2M16.M2.M.2M
181.M.M11.2M16.M2.M.2M79.A101.M.M11.2M16.M2.M.2M$151.M28.M.M.2M.M183.
M28.M.M.2M.M79.A.A101.M28.M.M.2M.M$151.2M28.M.M187.2M28.M.M84.2A101.
2M28.M.M$182.M2.2M215.M2.2M75.A30.2A107.M2.2M$183.2M.3M58.2A154.2M.3M
73.3A28.2A108.2M.3M$70.2A60.M.2M53.M58.A103.M.2M53.M75.A86.M.2M53.M$
71.A58.3M.2M47.2M.3M59.A.A99.3M.2M47.2M.3M75.2A84.3M.2M47.2M.3M$68.3A
58.M53.2M.M62.2A98.M53.2M.M96.3D63.M53.2M.M$68.A61.3M.2M41.M65.A30.2A
74.3M.2M41.M105.D66.3M.2M41.M$132.2M2.M38.2M66.3A28.2A76.2M2.M38.2M
107.D67.2M2.M38.2M$135.M.M6.M21.2M8.M69.A108.M.M6.M21.2M8.M178.M.M6.M
21.2M8.M$131.M.2M.M.M6.M9.M11.M8.M.M66.2A104.M.2M.M.M6.M9.M11.M8.M.M
172.M.2M.M.M6.M9.M11.M8.M.M$131.2M.M2.M4.M.3M6.3M11.M.M94.3D84.2M.M2.
M4.M.3M6.3M11.M.M181.2M.M2.M4.M.3M6.3M11.M.M$134.M6.2M2.2M5.M15.2M7.
3M84.D89.M6.2M2.2M5.M15.2M7.3M94.2A24.2A52.M6.2M2.2M5.M15.2M7.3M$134.
2M5.2M2.2M5.2M111.D88.2M5.2M2.2M5.2M113.2A5.A.A23.A.A38.2A11.2M5.2M2.
2M5.2M$132.2M2.M.M213.2M2.M.M128.2A7.A25.A38.A10.2M2.M.M$H130.M2.M2.
2M6.2M204.M2.M2.2M6.2M129.2A24.2A39.A7.M2.M2.2M6.2M$HD130.2M7.M4.M41.
2M162.2M7.M4.M41.2M133.2A14.5A8.2M7.M4.M41.2M$HD28.2A109.M4.M41.2M65.
2A24.2A78.M4.M41.2M89.2A43.A13.A22.M4.M41.2M$HD29.A111.M.M102.2A5.A.A
23.A.A79.M.M132.A.A7.A35.A.A12.3A21.M.M$HD29.A.A97.2M34.3M78.2A7.A25.
A67.2M34.3M108.A8.A.A19.2A14.2A15.A8.2M34.3M$HD30.2A98.M36.M87.2A24.
2A67.M36.M94.2A.2A8.2A4.2A.A.A20.A29.4A9.M36.M$HD42.D87.M.M33.M183.M.
M33.M91.2A3.A.2A2.2A9.A.A.A.A.A.2A17.A22.2A3.A3.2A7.M.M33.M$HD42.D.D
86.2M38.M86.2A91.2M38.M86.A2.A.A6.A9.A4.A.2A.A14.5A22.2A4.3A2.A7.2M
38.M$.D42.2D126.M.M84.A.A7.A122.M.M87.2A.7A11.3A.A4.A13.A35.A.2A46.M.
M$110.2A47.2M11.M.M84.A8.A.A19.2A38.2A47.2M11.M.M89.A20.A.A4.A.A12.3A
32.A36.2M11.M.M$110.A50.M11.M71.2A.2A8.2A4.2A.A.A20.A39.A50.M11.M90.A
.4A16.A6.2A15.A30.2A38.M11.M$112.A38.2M5.M.M9.3M68.2A3.A.2A2.2A9.A.A.
A.A.A.2A17.A39.A38.2M5.M.M9.3M92.2A2.A37.4A60.2M5.M.M9.3M$92.2A14.5A
38.2M6.M10.M70.A2.A.A6.A9.A4.A.2A.A14.5A19.2A14.5A38.2M6.M10.M131.2A
3.A3.2A58.2M6.M10.M$26.2A65.A13.A44.M90.2A.7A11.3A.A4.A13.A25.A13.A
44.M149.2A4.3A2.A19.2A37.M$27.A65.A.A12.3A43.2M89.A20.A.A4.A.A12.3A
22.A.A12.3A43.2M154.A.2A19.A40.2M$27.A.A64.2A15.A41.M2.M88.A.4A16.A6.
2A15.A22.2A15.A41.M2.M153.A23.3A36.M2.M$28.2A78.4A16.H25.M.M89.2A2.A
37.4A36.4A16.H25.M.M152.2A25.A11.H25.M.M$22.A30.2A24.A23.2A3.A3.2A13.
DHM25.M127.2A3.A3.2A5.A23.2A3.A3.2A13.DHM25.M191.DHM25.M$22.3A28.2A
23.A.A3.2A17.2A4.3A2.A12.DHM.M15.2M134.2A4.3A2.A3.A.A3.2A17.2A4.3A2.A
12.DHM.M15.2M198.DHM.M15.2M$25.A51.A2.A3.A26.A.2A12.DH2M16.2M142.A.2A
2.A2.A3.A26.A.2A12.DH2M16.2M152.2A44.DH2M16.2M$24.2A51.A.A.2A.A26.A
15.DH162.A5.A.A.2A.A26.A15.DH172.A45.DH$43.3D30.2A.A.A.A26.2A15.DH
161.2A4.2A.A.A.A26.2A15.DH173.3A42.DH$43.D30.A2.A.2A46.DH165.A2.A.2A
46.DH165.A9.A42.DH$44.D29.2A51.DH165.2A51.DH164.A.A3.2A46.DH$102.2A
23.D154.2A38.2A23.D164.A2.A3.A47.D$102.A179.A39.A189.A.A.2A.A$96.2A5.
3A177.3A30.2A5.3A185.2A.A.A.A$34.2A24.2A34.A8.A179.A30.A8.A183.A2.A.
2A$27.2A5.A.A23.A.A31.A.A158.2A57.A.A192.2A$27.2A7.A25.A13.2A16.2A10.
A149.A39.2A16.2A10.A$36.2A24.2A12.2A28.3A145.A41.2A28.3A$109.A144.5A
14.2A54.A201.2A$39.2A67.2A149.A13.A54.2A201.A$38.A.A7.A74.2A131.3A12.
A.A69.2A184.A.A$38.A8.A.A19.2A5.2A45.A131.A15.2A23.2A45.A167.2A16.2A
10.A$24.2A.2A8.2A4.2A.A.A20.A6.2A42.2A.A131.4A37.2A42.2A.A167.2A28.3A
$20.2A3.A.2A2.2A9.A.A.A.A.A.2A17.A47.A2.A130.2A3.A3.2A75.A2.A201.A$
20.A2.A.A6.A9.A4.A.2A.A14.5A48.2A130.A2.3A4.2A76.2A201.2A$22.2A.7A11.
3A.A4.A13.A38.2A145.2A.A69.2A231.2A$24.A20.A.A4.A.A12.3A35.2A148.A69.
2A151.2A31.2A45.A$24.A.4A16.A6.2A15.A184.2A222.A31.2A42.2A.A$25.2A2.A
37.4A6.A219.A179.A76.A2.A$62.2A3.A3.2A3.A.A217.A.A178.5A14.2A57.2A$
62.2A4.3A2.A3.A185.2A32.A184.A13.A43.2A$70.A.2A19.2A3.A165.A48.2A3.A
160.3A12.A.A43.2A$70.A22.A3.A.A161.3A49.A3.A.A158.A15.2A$69.2A23.A3.A
.A.2A157.A52.A3.A.A.2A154.4A30.A$86.2A7.A4.A.2A202.2A7.A4.A.2A152.2A
3.A3.2A24.A.A$86.A.A4.A.5A187.A18.A.A4.A.5A155.A2.3A4.2A25.A$61.2A25.
A3.A.A4.A.2A.A.2A179.3A18.A3.A.A4.A.2A.A.2A147.2A.A49.2A3.A$61.A26.2A
3.A2.2A.A2.A.2A.A182.A17.2A3.A2.2A.A2.A.2A.A150.A49.A3.A.A$62.3A29.2A
.A.2A12.2A174.2A23.2A.A.2A12.2A143.2A49.A3.A.A.2A$64.A48.2A218.2A168.
A17.2A7.A4.A.2A$34.2A467.3A15.A.A4.A.5A$35.A450.2A18.A16.A3.A.A4.A.2A
.A.2A$33.A453.A17.2A16.2A3.A2.2A.A2.A.2A.A$33.5A14.2A430.3A42.2A.A.2A
12.2A$38.A13.A431.A63.2A$35.3A12.A.A246.2A$34.A15.2A240.2A5.A.A$34.4A
254.2A7.A$32.2A3.A3.2A11.A246.2A$31.A2.3A4.2A11.3A458.2A$31.2A.A22.A
230.A219.2A5.A.A$34.A21.2A229.A.A.2A215.2A7.A$34.2A251.A.A.A.A223.2A$
284.2A.A.A.A.A2.A$284.A2.A2.2A.4A207.A$42.2A242.2A4.A210.A.A.2A$43.A
248.A.A208.A.A.A.A$40.3A250.2A205.2A.A.A.A.A2.A$40.A25.2A432.A2.A2.2A
.4A$59.2A5.A.A433.2A4.A$59.2A7.A439.A.A$68.2A439.2A2$55.A$54.A.A.2A$
54.A.A.A.A$51.2A.A.A.A.A2.A$51.A2.A2.2A.4A$53.2A4.A$59.A.A$60.2A!

Jormungant
Posts: 579
Joined: May 27th, 2016, 1:01 am

Re: I'm looking for period multiplicating Herschel Tracks.

Post by Jormungant » August 30th, 2023, 7:57 pm

Here I come again, to ruin your day!

How about this instead?

Code: Select all

x = 191, y = 165, rule = LifeHistory
11$96.2A$92.2A.A.A9.A$93.A.A9.3A$93.A.2A7.A$90.2A.A3.A6.2A31.A$90.A2.
4A2.A.A7.2A24.3A$91.2A5.A2.A7.A.A22.A$93.2A3.A8.A.A.3A20.2A$93.A4.2A
7.2A5.A$91.A.A5.A.A11.2A$91.2A$100.2A42.A$99.A44.3A$147.A$109.2A11.D
23.2A11.2A11.D$109.2A9.2CD28.2A6.2A9.3D3.2A$119.AC.D25.2A.3A16.D.D3.
2A$120.DA3.2A21.2A3.2A15.D$91.2D31.2A.2A21.A.A2.A$90.D.D9.A21.2A2.A
21.3A2.2A$92.D8.A.A20.A3.A21.A.A.2A$95.2A4.A.A4.2A14.A.2A17.D8.A$95.A
2.A3.A3.A2.A15.A18.AD.D$96.3A7.3A25.2A7.A.3D$121.2A11.2A7.3A.D$94.7A
3.7A11.A$94.A6.A.A6.A8.3A$95.A.A.2A3.2A.A.A9.A$96.2A.A5.A.2A$62.2A16.
3A18.A.A$62.2A18.A17.2A.2A50.2A6.2A$55.A25.A72.A2.A5.2A$54.A.A97.A2.A
$54.A2.A97.2A$55.A2$40.A9.2A5.A$38.3A9.2A6.A80.A.A$37.A11.A.A87.2A$
36.A.A101.A$36.A.A$37.A38.2A$76.A.A$41.A36.A49.2A$41.A.A34.2A48.2A$
41.2A84.2D$21.2A40.3A61.2D$21.2A40.A13.2A$63.3A6.2A2.A2.A$72.A.A2.2A$
57.2A5.A10.2A$31.2A8.2A15.A5.3A9.A$32.A8.A.A11.3A8.3A4.A2.A.2A$43.A
11.A10.2A4.A.A.2A.A$35.A7.2A28.A.A$33.A.A38.A2.2A$33.3A39.2A.3A$24.A.
2A53.A$22.3A.2A47.2A.3A$21.A53.2A.A$22.3A.2A$24.2A2.A$27.A.A28.2A$23.
A.2A.A.A28.A$23.2A.A2.A16.2A11.A.A74.2A$26.A19.A13.2A3.2A3.2A63.A.A$
26.2A16.A.A17.A.A3.A.A63.A$24.2A2.A.A13.2A18.A7.A$23.A2.A2.2A33.A3.A
3.A$24.2A39.A5.A8.2A$66.A3.A9.2A33.2A$67.3A45.2A$144.2A$34.3A107.2A$
34.3A$31.A5.2A26.A$30.A2.A3.2A25.A.A$30.A.A3.3A4.A20.A.A$30.2A.2A6.5A
19.A76.2A$32.3A5.3A.2A16.3A77.A$27.2A4.2A6.A2.2A16.A8.A71.3A$28.A13.
3A5.2A19.3A71.A$25.3A15.A7.2A21.A$25.A24.A22.2A$111.2A$111.2A$65.2A
52.3D$65.A54.D8.2A$62.2A.A54.3D6.A$62.A2.3A4.2A2.D53.3A$63.2A3.A3.2A
2.D.D53.A$65.4A7.2D$65.A15.2A$66.3A12.A.A66.A.A$31.2A36.A13.A29.2A36.
2A$31.2A31.5A14.2A27.A.A36.A$64.A47.A$66.A44.2A$65.2A43.A8.2A9.2A$38.
2A70.3A6.2A5.2A2.A.A$38.2A73.A12.A.A.A2.A$106.2A4.2A14.A.A.2A$107.A
19.2A.A$107.A.A20.A.2A$108.2A20.A.A2.A$125.2A4.A2.2A$111.2A11.A2.A$
87.A.A20.A2.A11.2A4.A2.2A$88.2A21.A.A16.A.A2.A$88.A23.A17.A.2A$127.2A
.A$105.2A21.A.A.2A$105.A2.A.2A14.A.A.A2.A$106.3A.A.A13.2A2.A.A$110.A.
A17.2A$106.5A.3A$106.A4.A3.A$109.A.A2.2A$109.2A3$141.2A$141.A$143.A$
123.2A14.5A$124.A13.A$124.A.A12.3A$125.2A15.A$130.2D7.4A$122.A6.D.D2.
2A3.A3.2A$120.3A8.D2.2A4.3A2.A$119.A22.A.2A$119.2A21.A$141.2A2$117.D$
118.D14.2A$116.3D14.A$134.3A$109.2A25.A$108.A.A5.2A$108.A7.2A$107.2A
2$121.A$117.2A.A.A$116.A.A.A.A$113.A2.A.A.A.A.2A$113.4A.2A2.A2.A$117.
A4.2A$115.A.A$115.2A!
Well, just kidding, this needs to be fixed, since it only works with a p82 input, but I would think it could be modified to lower the repeat time to 69, just that this weird timing that generates a glider simplifies the design by a lot (it is offseted by 1 compared to the natural glider, so it would dodge the block as required if wants to change the N-divider), but one can figure out that the Hershel hit a block by other means, and replace the block to pull again. There is a need to make that block in a timely fashion, in order to rightfully claiming this to work with low repeat time, but one would need to "buffer up" with 1 block in advance, which involve making more circuits to place the block once the previous is known to have been pulled once (or twice depending on the clearance), and manage to place it within 345 ticks or so (aka, 5x69, since we already have tremi/quad snarks). Not sure if it can be made compact, but it would work for any N-pulse divider. Anyways, food for thoughts.

User avatar
confocaloid
Posts: 1655
Joined: February 8th, 2022, 3:15 pm

Re: I'm looking for period multiplicating Herschel Tracks.

Post by confocaloid » August 31st, 2023, 10:00 pm

Failed attempt to beat the recovery time of a previous (25 + 6n, 26 + 6n)-pulse divider:

Code: Select all

#C Another pulse divider relying on the stable version of the beehive crystal
x = 199, y = 171, rule = LifeHistory
84.2A$65.2A.A.2A12.2A$64.A2.2A.A2.A.2A.A$63.A.A4.A.2A.A.2A$49.A14.A.
5A120.A$49.3A14.A4.A.2A114.3A$52.A12.A3.A.A.2A113.A8.2A$51.2A11.A3.A.
A117.2A7.A$64.2A3.A125.A.A$195.2A$177.A$176.A.A5.A$177.A6.A.3A$64.D
11.2A106.A.3A$44.2A18.3D9.2A119.2A$44.2A18.D.D24.2A101.2A2.A$66.D23.A
2.A100.A.2A$91.2A.A$94.A82.A17.3A$94.2A80.A.A15.A2.A$79.2A94.A2.A15.A
.A$80.A94.3A17.A$41.2A.A.2A29.3A$41.A.2A.2A17.2A10.A97.2A.A$65.A.A46.
A59.A2.2A$67.A45.A.A58.2A$67.2A44.A.A68.3A.A$112.2A.3A66.3A.A6.A$118.
A69.A5.A.A$76.2A.2A31.2A.3A77.A$77.A.A32.2A.A45.A$72.2A.A5.A.2A75.A.A
$53.D.D15.A.A.2A3.2A.A.A74.A.A11.A8.2A$53.D.D14.A6.A.A6.A72.2A.2A10.A
.A7.A$53.3D14.7A3.7A87.2A5.3A$157.4A.2A17.A$72.3A7.3A72.A2.A.2A$71.A
2.A3.A3.A2.A68.2A.A$71.2A4.A.A4.2A68.2A.2A$77.A.A$78.A73.4A.2A$152.A
2.A.2A$96.D52.2A.A$51.2A3.2A38.D.D50.2A.2A16.2D8.D3.2D6.3D.3D$50.A2.A
.A2.A18.3D5.2A9.3D71.2D12.2D8.D.D$45.A5.2A3.2A5.A13.D2.D4.2A11.D48.4A
.2A18.2E6.D11.3D.3D$44.A.A15.A.A11.D2.2D66.A2.A.2A18.E.E17.D5.D$45.A
17.A12.2D2.D63.2A.A26.E5.D11.3D.3D$144.2A.2A25.2E$67.2A28.2A81.D$67.A
.A23.A3.2A43.4A.2A$14.A54.A6.2A5.2A7.A.A47.A2.A.2A31.D3.2D6.3D.3D$14.
3A52.3A3.A2.A4.A.A5.A.A43.A2.A.A41.D.D7.D.D$17.A49.2A3.A3.A.A6.A5.A
13.2A27.A2.4A.2A36.D5.D5.3D.3D$16.2A48.A2.4A4.A7.2A3.2A14.A27.3A49.2D
4.D3.D.D$66.2A.A10.2A21.3A32.3A.2A36.D11.3D.3D$69.A.2A7.A22.A5.2A23.
4A2.A.2A$8.2A59.A.A9.3A25.2A22.A3.A$8.A59.2A.A.A9.A49.2A$5.2A.A63.2A$
5.A2.3A4.2A91.2A53.D.D.D$6.2A3.A3.2A90.A2.A53.D.D.D$8.4A96.A.A11.3D
40.D.D$8.A15.2A80.A.A.A.A9.D41.D.D.D7.3D$9.3A12.A.A78.A.A.A.A.A8.3D
11.A26.D.D.D5.D2.D$12.A13.A79.A2.A2.A22.A.A24.D.D3.D3.3D.3D$7.5A14.2A
79.2A.2A22.A2.A7.2A14.D.D9.D2.D.D$7.A100.A.A24.2A8.2A13.D.D13.3D$9.A
98.A.A48.D.D$8.2A99.A50.D$121.2A18.3D$104.A16.2A19.D$88.A15.3A35.3D$
86.3A18.A$73.A11.A20.2A$73.3A9.2A46.2A$76.A56.A$63.2A10.2A57.3A$45.2A
17.A63.2A6.A$46.A17.A.A61.2A$45.A19.2A$45.2A37.D3.2A15.D$84.2D2.2A15.
D.D$85.2D18.3D$85.D21.D11.2A$84.D34.A$120.3A$7.2A35.D3.2A15.D56.A$8.A
14.2A8.2A9.2D2.2A15.D.D75.2A$8.A.A12.2A8.2A10.2D18.3D75.2A$9.2A34.D
21.D11.2A$41.2A.D34.A62.D7.A$5.2A34.A.A36.3A58.3D6.3A$5.A36.A39.A58.D
.2D8.A$6.3A143.2A$8.A24.D$33.2D$2.2A28.2D12.2A.2A$2.A.A40.A.A.2A30.2A
$4.A2.2A36.A.A33.2A$3.2A.A.A35.2A.A$6.A32.2A.A3.A$6.2A30.A.A.4A34.A$
32.2A.A2.A.A38.A.A31.2A4.2A$33.A.4A.4A36.A32.2A3.A2.A$33.A5.A3.A33.3A
39.2A$34.4A2.A30.A5.A57.D52.2A$36.A.2A31.3A61.2D9.A41.A$30.A43.A61.2D
7.A.A42.A$30.3A40.2A61.D8.A.A22.2A14.5A$33.A101.D10.A24.A13.A$8.3D21.
2A137.A.A12.3A$9.D55.2A47.2A56.2A15.A$9.3D53.A48.2A4.D16.2A47.4A$24.
2A36.2A.A53.3D15.2A7.2A33.2A3.A3.2A$24.A37.A2.3A4.2A44.D2.2D23.2A33.
2A4.3A2.A$21.2A.A38.2A3.A3.2A115.A.2A$D.D.D.D14.A2.3A4.2A32.4A45.2A
73.A$22.2A3.A3.2A32.A15.2A30.A.A72.2A$6.D17.4A38.3A12.A.A29.A$2.2E20.
A15.2A27.A13.A28.2A$3.E2.D18.3A12.A.A21.5A14.2A95.2A$3E25.A13.A21.A
115.A$E5.D16.5A14.2A22.A114.3A$23.A41.2A24.A91.A$6.D17.4A61.3A$26.A
61.A$D.D.D.D21.A59.2A$27.2A44.2A$10.2A62.A$10.2A7.2A53.A.2A$19.A55.A
2.A23.D$9.D7.A.A39.A16.2A24.D.D$8.3D6.2A38.3A31.2A9.3D.2A$.2A4.D2.2D
44.A34.2A11.D.2A$2.A19.A33.2A90.A$2.A.A16.A.A4.A117.3A$3.2A16.A2.A2.A
.A115.A$22.2A4.2A34.2A79.2A$65.A64.2A$65.A.2A61.2A$57.2A4.3A2.A25.2A.
A6.2A$.A55.2A3.A3.2A26.2A.3A3.A.A$A.A27.2A30.4A34.A2.A$.A6.D21.2A16.
2A15.A28.2A.3A2.2A26.2A$7.3D33.2A2.A.A12.3A30.A.A32.2A3.2A$9.D2.D31.A
2.A13.A21.2A10.A.A18.2A16.A.A5.2A$11.D20.A9.A2.3A14.5A16.2A11.A18.A.A
16.A7.2A$10.2D19.A.A8.3A21.A48.A17.2A$11.2D19.A12.A18.A49.2A8.2A$12.D
20.3A8.2A18.2A58.A22.A$35.A23.2A64.3A15.2A.A.A$4.2A53.A67.A14.A.A.A.A
$3.A.A4.2A44.2A.A79.A2.A.A.A.A.2A$3.2A5.2A19.D23.A2.A80.4A.2A2.A2.A$
29.D.D24.2A85.A4.2A$6.2A21.3D9.2A98.A.A$6.A22.D11.2A98.2A$7.3A$9.A3$
29.2A3.A$21.2A6.A3.A.A$21.A8.A3.A.A.2A$22.3A6.A4.A.2A$24.A4.A.5A$28.A
.A4.A.2A.A.2A$29.A2.2A.A2.A.2A.A$30.2A.A.2A12.2A$49.2A!
This version uses one of honey farm catalysts:

Code: Select all

#C https://conwaylife.com/forums/viewtopic.php?p=161592#p161592
x = 14, y = 24, rule = B3/S23
3bo$b3o$o$2o3$11bo$10bob2o$11b2o$3bo$2bobo$bo2bo$2b2o8$2o$o$b3o$3bo!
Probably it is possible to significantly improve recovery "on the left side of the loaf".
127:1 B3/S234c User:Confocal/R (incomplete table of INT rules)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.

User avatar
confocaloid
Posts: 1655
Joined: February 8th, 2022, 3:15 pm

Re: An engineered stable 7x pulse divider

Post by confocaloid » September 1st, 2023, 9:38 pm

confocaloid wrote:
August 30th, 2023, 9:32 am
Stable 7x pulse divider, repeat time 82, bounding box probably can be significantly reduced:
...
Engineered stable 5-pulse divider, repeat time 64

Code: Select all

x = 190, y = 250, rule = LifeSuper
114.2A$114.A.A$116.A4.2A$19.2M91.4A.2A2.A2.A$17.M.2M91.A2.A.A.A.A.2A$
16.M98.A.A.A.A$19.M96.2A.A.A$15.2M.M101.A$15.2M$106.2A$107.A7.2A$21.M
8.3M74.A.A5.2A17.A$16.2M2.M.M10.M74.2A22.3A$11.2M3.3M2.M7.M3.M97.A$
11.2M3.3M9.M.M2.M97.2A$26.M2.M.M$26.M3.M$26.M112.2A$27.3M110.A$118.2A
20.A.2A$118.A13.2A4.3A2.A$22.2M95.3A10.2A3.A3.2A$22.2M97.A15.4A$121.A
.2A15.A$119.2A.A.A12.3A$119.A2.A13.A$15.2M2.2M93.A6.2A14.5A$14.M2.2M
2.M92.3A24.A$15.2M2.2M13.M82.A21.A$32.M.M81.2A21.2A$33.2M$15.M39.2A.
2A$14.M.M39.A.A49.2A$15.M35.2A.A5.A.2A19.A24.A$24.M3.M21.A.A.2A3.2A.A
.A9.A8.3A19.2A.A$23.M.M.M.M19.A6.A.A6.A8.3A9.A18.A2.3A4.2A$24.2M.2M
20.7A3.7A11.A7.2A19.2A3.A3.2A$76.2A30.4A$21.M9.M13.H5.3A7.3A44.A15.2A
63.M$20.M.M7.M.M12.HD3.A2.A3.A3.A2.A44.3A12.A.A60.3M$20.M3.2M.2M3.M
12.HD3.2A4.A.A4.2A47.A13.A9.2A48.M$21.M3.M.M3.M13.HD9.A.A48.5A14.2A8.
2A48.2M$22.2M.M.M.2M14.HD10.A49.A22.2A$24.M3.M16.HD62.A19.A.A2.4A$46.
D61.2A19.A.A.A4.A$91.A38.A.A.A.A.A$64.2A24.A.A39.A.A.2A4.2A$64.2A23.A
2.A38.A.A8.A$90.2A16.2A22.A7.A.A$107.A.A7.A22.2A$87.2A19.A7.A.A$46.2A
28.2A8.A.A26.A2.A$46.A.A23.A3.2A8.A28.2A.2A$48.A6.2A5.2A7.A.A11.2A29.
A4.A29.A$48.3A3.A2.A4.A.A5.A.A42.A2.4A5.2A.2A17.3A$46.2A3.A3.A.A6.A5.
A45.2A9.2A.2A16.A21.H$45.A2.4A4.A7.2A3.2A47.2A28.2A4.2A13.DH$45.2A.A
10.2A49.2A6.A35.A14.DH$48.A.2A7.A50.A.A6.A32.A.A14.DH$48.A.A9.3A49.A
3.3A33.2A15.DH$47.2A.A.A9.A40.2A7.2A2.A52.DH$51.2A50.2A35.2A27.D$140.
2A13.2A$155.2A$123.2A$123.A2.A.2A$124.3A.A.A$128.A.A2.A$126.3A.4A$
125.A3.A$125.2A2.A.A12.2A$92.A37.2A11.A.A$92.3A48.A$95.A46.2A$94.A.A$
95.A18.A30.2A15.2A$112.3A30.2A15.A.A$111.A52.A$96.2A13.2A51.2A$96.2A
3$116.A$115.A.A$91.2A22.A.A$92.A21.2A.3A$92.A.A25.A$93.2A19.2A.3A$
114.2A.A4$92.2A$92.2A7$119.A$117.3A$116.A$116.2A7$31.2M73.2A$31.2M5.
2M65.A.A5.2A$38.2M65.A7.2A$104.2A2$7.2M8.2M16.2M81.A$7.2M9.M5.2M3.3M
3.2M77.2A.A.A$18.M.M3.2M3.2M.3M2.M4.2M69.A.A.A.A$19.2M9.M.5M5.2M66.A
2.A.A.A.A.2A$.2M29.M.3M73.4A.2A2.A2.A$.2M111.A4.2A$5.2M105.A.A$5.2M
105.2A$33.M$32.4M$32.M3.M$2M31.M2.M$2M31.3M7.M70.2A$16.M24.3M70.A.A$
16.M.M21.M75.A4.2A$16.2M22.2M70.4A.2A2.A2.A$112.A2.A.A.A.A.2A$115.A.A
.A.A$116.2A.A.A$120.A2$106.2A$107.A7.2A$7.2M98.A.A5.2A17.A$8.M99.2A
22.3A$5.3M123.A$5.M41.2M82.2A$47.2M2$139.2A$140.A$42.2M74.2A20.A.2A$
42.2M74.A13.2A4.3A2.A$46.2M71.3A10.2A3.A3.2A$46.2M73.A15.4A$5.2M114.A
.2A15.A$5.2M112.2A.A.A12.3A$11.2M27.2M77.A2.A13.A$11.2M27.2M72.A6.2A
14.5A$114.3A24.A$117.A21.A$9.2M24.M80.2A21.2A$9.2M5.2M18.M$16.2M16.3M
18.2A.2A$56.A.A49.2A$51.2A.A5.A.2A19.A24.A$50.A.A.2A3.2A.A.A9.A8.3A
19.2A.A$49.A6.A.A6.A8.3A9.A18.A2.3A4.2A$49.7A3.7A11.A7.2A19.2A3.A3.2A
$76.2A30.4A$45.H5.3A7.3A44.A15.2A63.M$45.HD3.A2.A3.A3.A2.A44.3A12.A.A
60.3M$45.HD3.2A4.A.A4.2A47.A13.A9.2A48.M$45.HD9.A.A48.5A14.2A8.2A48.
2M$45.HD10.A49.A22.2A$45.HD62.A19.A.A2.4A$46.D61.2A19.A.A.A4.A$91.A
38.A.A.A.A.A$64.2A24.A.A39.A.A.2A4.2A$64.2A23.A2.A38.A.A8.A$90.2A16.
2A22.A7.A.A$107.A.A7.A22.2A$87.2A19.A7.A.A$46.2A28.2A8.A.A26.A2.A$46.
A.A23.A3.2A8.A28.2A.2A$48.A6.2A5.2A7.A.A11.2A29.A4.A29.A$48.3A3.A2.A
4.A.A5.A.A42.A2.4A5.2A.2A17.3A$46.2A3.A3.A.A6.A5.A45.2A9.2A.2A16.A21.
H$45.A2.4A4.A7.2A3.2A47.2A28.2A4.2A13.DH$45.2A.A10.2A49.2A6.A35.A14.D
H$48.A.2A7.A50.A.A6.A32.A.A14.DH$48.A.A9.3A49.A3.3A33.2A15.DH$47.2A.A
.A9.A40.2A7.2A2.A52.DH$51.2A50.2A35.2A27.D$140.2A13.2A$155.2A$123.2A$
123.A2.A.2A$124.3A.A.A$128.A.A2.A$126.3A.4A$125.A3.A$125.2A2.A.A12.2A
$92.A37.2A11.A.A$92.3A48.A$95.A46.2A$94.A.A$95.A18.A30.2A15.2A$112.3A
30.2A15.A.A$111.A52.A$96.2A13.2A51.2A$96.2A3$116.A$115.A.A$91.2A22.A.
A$92.A21.2A.3A$92.A.A25.A$93.2A19.2A.3A$114.2A.A4$92.2A$92.2A7$119.A$
117.3A$116.A$116.2A7$106.2A$105.A.A5.2A$105.A7.2A$104.2A2$118.A$114.
2A.A.A$113.A.A.A.A$110.A2.A.A.A.A.2A$110.4A.2A2.A2.A$114.A4.2A$112.A.
A$112.2A!
127:1 B3/S234c User:Confocal/R (incomplete table of INT rules)
Unlikely events happen.
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dvgrn
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Re: An engineered stable 7x pulse divider

Post by dvgrn » September 2nd, 2023, 7:03 am

confocaloid wrote:
September 1st, 2023, 9:38 pm
Engineered stable 5-pulse divider, repeat time 64...
Here's a smaller version for higher repeat times, using a likely-looking Ee2 H-to-2G with repeat time 107:

Code: Select all

x = 160, y = 99, rule = LifeSuper
112.2A$112.A.A$114.A4.2A$110.4A.2A2.A2.A$110.A2.A.A.A.A.2A$31.2M79.BA
BABA.A$30.M.M80.B2ABA.A$24.2M4.M83.2B.BA$22.M2.M2.2M.4M78.3B$22.2M.M.
M.M.M2.M69.2A6.4B$25.M.M.M.M73.A6.B2A3B$25.M.M3.M73.A.AB3.B2A3B$26.M
79.2AB.10B$29.M.M76.13B$39.2M67.14B$28.M.M.M6.M68.15B$28.5M4.M.M70.8B
2.4B$25.2M4.M.2M2.2M71.6B5.4B$24.M4.M2.2M75.9B4.4B$9.M20.M.M75.4B4.2A
5.4B$9.3M12.2M5.2M74.4B5.A7.4B$12.M15.5M73.4B7.3A5.4B$11.2M17.M74.4B
10.A6.4B$104.4B19.4B$27.2M74.4B21.4B$3.2M23.M73.4B23.4B10.A$3.M21.3M
73.4B25.4B7.3A$2M.M21.M74.4B27.4B5.A$M2.3M4.2M87.4B29.4B4.2A4.2A$.2M
3.M3.2M86.4B31.4B9.A$3.4M90.4B33.4B6.A.A$3.M15.2M41.M21.2A10.4B35.4B
5.2A$4.3M12.M.M34.2M3.M.M21.A9.4B37.4B$7.M13.M35.M3.M2.M18.A10.4B34.
2A3.4B$2.5M14.2M34.M.2M.M.M18.5A5.4B5.2A28.2A4.4B5.2A$2.M55.M.M.M.2M
22.A4.4B5.A36.4B4.2A$4.M56.2M.M2.M17.3AB2.7B.BA.A37.4B$3.2M61.2M16.A.
2B3.7B.B2A39.4B$84.4A12B42.4B$82.2A2.BA3B2A7B43.4B$44.2M5.2M28.A2.3AB
.2B2A7B44.3BD$45.M5.M.M27.2A.A.B3.10B45.3BD$23.M21.M.M3.M32.A8.8B35.
2A8.3D$24.M10.M10.2M16.2M18.2A7.9B33.A.A9.2B$22.3M8.3M28.2M28.3B2.4B
32.A10.3B$32.M59.5B3.4B30.2A9.4B$32.2M58.2A7.4B39.4B$17.2M74.A8.4B31.
2A4.4B7.2A$18.M45.2M24.3A10.4B30.2A3.2D2B8.A.A$18.M.2M18.M23.2M24.A
13.4B33.DBDB11.A$19.M2.M16.4M62.4B31.3BD12.2A$20.2M15.5M.M62.4B29.4B$
36.M6.2M62.4B8.A18.4B$35.M3.M.3M56.2A6.4B5.3A5.2A10.4B$36.M.M2.2M58.A
7.4B3.A9.A9.4B$64.M36.A.AB4.4B3.2A6.A10.4B$63.M.M36.2AB.2B.5B.3B6.5A
5.4B5.2A$44.M3.2M14.M39.12B13.A4.4B5.A$43.M.M3.M54.14B8.3AB2.7B.BA.A$
42.M.M3.M29.2A.2A21.14B7.A.2B3.7B.B2A$38.2M.M.M3.M31.A.A23.14B6.4A12B
$38.2M.M2.4M.M4.2M18.2A.A5.A.2A19.14B3.2A2.BA3B2A7B$42.M.M3.2M3.M.M
17.A.A.2A3.2A.A.A8.2A8.13B3.A2.3AB.2B2A7B$38.2M.2M.M.M6.M18.A2.B2.BA.
AB2.B2.A8.A9.11B4.2A.A.B3.10B$39.M.M3.M.3M2.2M11.M6.7AB.B7A8.A.AB4.
14B6.A8.8B$27.2M10.M.M4.M2.M16.M9.3B.B.3B13.2AB.18B5.2A7.9B$27.2M11.M
6.2M15.3M.H5.3AB.3B.B3A13.20B15.3B2.4B$68.HD3.A.BA3BA3BAB.A12.19B14.
5B3.4B10.2A$68.HD3.2A3.BABAB3.2A13.20B12.2A7.4B9.A$68.HDB7.BABAB17.
22B12.A8.4B10.A$68.HD2B6.2BA2B.B13.23B10.3A3.2A5.4B5.5A$68.HD3B6.B.B.
5B3.2B2.25B11.A6.A5.4B4.A$69.D4B2.22BD22B17.A.AB.7B2.B3A$71.27BDBD4B.
10B2.4B17.2AB.7B3.2B.A$72.15B2A9B3D4B2.7B5.4B18.12B4A$73.14B2A11BD4B
2.8B5.4B17.7B2A3BAB2.2A$74.30B2.11B4.4B10.A5.7B2A2B.B3A2.A$75.9B2.B2.
3B.4B9.11B5.4B7.3A5.10B3.B.A.2A$76.9B7.4B11.11B5.4B5.A7.8B8.A$69.2A5.
9B6.4B11.B.10B6.4B4.2A5.9B7.2A$69.A.A4.9B7.2B3.B7.2B.9B8.9B4.4B2.3B$
71.A4.2B2A3B.B2A5.3B.B2A3.2B.12B9.6B5.4B3.5B$71.3A.2BA2BA2B.BA.A5.A3B
2A2.2A13B10.8B2.4B7.2A$69.2A2.BA3BABAB5.A4.A.AB.B3.2A13B8.15B8.A$68.A
2.4A4BA4B3.2A2.A.AB7.2B.13B6.14B10.3A$68.2A.A.4B5.2A7.A14.6B4.2A6.13B
13.A$71.A.2A7.A7.2A24.A5.2AB.10B$71.A.A9.3A31.3A.A.AB3.B2A3B$70.2A.A.
A9.A33.A.A6.B2A3B$74.2A44.2A6.4B$129.3B$130.2B.BA$129.B2ABA.A$128.BAB
ABA.A$126.A2.A.A.A.A.2A$126.4A.2A2.A2.A$130.A4.2A$128.A.A$128.2A!
I didn't look at any other H-to-2Gs, just grabbed the only H-to-2G that didn't use a first natural glider and slapped on minimal trombone slides, so no doubt there are more compact and/or lower repeat time options.

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confocaloid
Posts: 1655
Joined: February 8th, 2022, 3:15 pm

Re: An engineered stable 5x pulse divider

Post by confocaloid » September 2nd, 2023, 8:54 am

Amazingly, the same 2G collision leads to a stable 5x pulse divider in a different way:
(original on the left, new on the right)

Code: Select all

x = 104, y = 38, rule = LifeHistory
2BD57.2BD$DBDB56.DBDB$.2D2B56.2D2B$2.4B37.B18.4B37.B$3.4B35.DB19.4B
35.DB$4.4B33.D2B20.4B33.D2B$5.4B31.B3D21.4B31.B3D$6.4B23.2A4.4B23.4B
29.4B$7.4B21.B2AB2.4B25.4B27.4B$8.4B10.A10.3B.4B27.4B25.4B$9.4B9.3A9.
B.4B29.4B23.4B$10.4B11.A5.8B31.4B21.4B$11.4B4.2A3.2A4.9B32.4B7.A11.4B
$12.4B2.B2AB2.15B33.4B6.3A8.4B$13.4B.3B5.13B34.4B8.A6.4B$14.4B.B6.11B
.B2A33.4B6.2A5.4B$15.8B2.12B.BA.A33.4B5.10B$15.9B.11B5.A34.6B2.9B$14.
18B.5B3.2A34.16B6.2A$14.17B5.2A40.14B7.A$15.16B5.A42.12B2.2B.BA.A$16.
14B2.B4.3A40.15B.B2A$17.13B.B2A5.A41.16B$18.14B2A46.17B$18.12B.2B47.
17B$19.12B48.17B$20.11B49.11B2.3B$21.10B50.2B2.5B$19.12B48.4B3.5B$19.
2A3.8B47.2A3.8B$20.A3.9B47.A3.2A3.4B$17.3A5.9B43.3A5.A4.4B$17.A6.6B.
4B42.A4.3A6.4B$25.5B2.4B46.A9.4B$25.5B3.4B56.4B$25.5B4.3BD56.3BD$26.
4B5.DBDB56.DBDB$27.2B7.2D2B56.2D2B!
The repeat time of this mechanism appears to be 61 ticks, matching the Speed Tunnel:

Code: Select all

x = 116, y = 83, rule = B3/S23
105b2obo$105bob2o2$106b5o$92b2o12bo4bo$92b2o15bo2bo$109b2obo$106bo5bob
2o$85b2o18bobo4bobo$81b2obo2bo17bo2bo2b2o2bo$81b2obob2o18b2o6b2o$84bo
10bo$7bob2o73bob2o10b2o$7b2obo74bo2bo$86b2obo22bo$5b5o4b2o67b3o2bo4b3o
14b3o$4bo4bo5bo67bo2bo6bobo13bo$3bo2bo8bob2ob2obo60b2o7bo2bo11bobo$3bo
b2o9bobobob2o70b2o13b2o$2obo5bo7bo$bobo4bobo70bo27b2o$o2b2o2bo2bo14b2o
9b2o43b3o26bo$2o6b2o15bo10b2o46bo24bo$23bobo4b2o45b2o4b2o18b2o4b2o$23b
2o4bobo2b4o40bo24bo$29bobobo4bo38bo26b3o$30bobobobobo38b2o27bo$32bobob
2o4b2o$12bo18bobo8bo34b2o13b2o$12bo19bo7bobo34bobo11bo2bo7b2o$40b2o36b
o13bobo6bo2bo$17bo57b3o14b3o4bo2b3o$11bo3b2obo56bo22bob2o$15bo2bo10b3o
67bo2bo$4b2o9b3o10bo2bo56b2o10b2obo$4b2o22bob2o3bo56bo10bo$29bo42b2o6b
2o18b2obob2o$72bo2b2o2bo2bo17bo2bob2o$14bo19bo38bobo4bobo18b2o$13bobo
18bo37b2obo5bo$9b2obobo60bob2o18b2o$8bobobobobo58bo2bo18bo$8bo4bobobo
58bo4bo16b3o$9b4o2bobo4b2o53b5o18bo$15b2o4bobo$9b2o10bo15b2o37bob2o$9b
2o9b2o14bo2bo2b2o32b2obo$36bobo4bo$29bo7bo5bob2o$23b2obobobo9b2obobo$
23bob2ob2obo8bo2bo2bo$31bo5bo4bo2b2o$31b2o4b5o24bo$66b3o$36bob2o29bo$
36b2obo28b2o3$83b2o$83bo$81bobo$81b2o8$63b2o$64bo3b2o$61b3o5bo$61bo4b
3o$66bo6$83b2o$83bo$84b3o$86bo!
Edit: the same 2G collision also leads to a stable 7-pulse division mechanism:

Code: Select all

x = 112, y = 83, rule = B3/S23
101b2obo$101bob2o2$102b5o$88b2o12bo4bo$88b2o15bo2bo$105b2obo$102bo5bob
2o$81b2o18bobo4bobo$77b2obo2bo17bo2bo2b2o2bo$77b2obob2o18b2o6b2o$80bo
10bo$7bob2o69bob2o10b2o$7b2obo70bo2bo$82b2obo22bo$5b5o4b2o63b3o2bo4b3o
14b3o$4bo4bo5bo63bo2bo6bobo13bo$3bo2bo8bob2ob2obo56b2o7bo2bo11bobo$3bo
b2o9bobobob2o66b2o13b2o$2obo5bo7bo$bobo4bobo66bo27b2o$o2b2o2bo2bo14b2o
9b2o39b3o26bo$2o6b2o15bo10b2o42bo24bo$23bobo4b2o41b2o4b2o18b2o4b2o$23b
2o4bobo2b4o36bo24bo$29bobobo4bo34bo26b3o$30bobobobobo34b2o27bo$32bobob
2o4b2o$12bo18bobo8bo30b2o13b2o$12bo19bo7bobo30bobo11bo2bo7b2o$40b2o32b
o13bobo6bo2bo$17bo53b3o14b3o4bo2b3o$11bo3b2obo52bo22bob2o$15bo2bo10b3o
63bo2bo$4b2o9b3o10bo2bo52b2o10b2obo$4b2o22bob2o3bo52bo10bo$29bo38b2o6b
2o18b2obob2o$68bo2b2o2bo2bo17bo2bob2o$14bo19bo34bobo4bobo18b2o$13bobo
18bo33b2obo5bo$9b2obobo31bo24bob2o18b2o$8bobobobobo27bobo24bo2bo18bo$
8bo4bobobo27b2o25bo4bo16b3o$9b4o2bobo4b2o49b5o18bo$15b2o4bobo58bo$9b2o
10bo15b2o33bob2o5bo$9b2o9b2o14bo2bo2b2o28b2obo5b3o$36bobo4bo$29bo7bo5b
ob2o$23b2obobobo9b2obobo$23bob2ob2obo8bo2bo2bo17bo$31bo5bo4bo2b2o17b3o
$31b2o4b5o25bo$66b2o$36bob2o$36b2obo$86b2o$86bo$84bobo$84b2o8$61b2o21b
2o$62bo3b2o16bobo$59b3o5bo18bo$59bo4b3o19b2o$64bo4$81bo$79bobo$80b2o2$
84b2o$84bobo$86bo$86b2o!
Last edited by confocaloid on September 2nd, 2023, 10:22 am, edited 2 times in total.
127:1 B3/S234c User:Confocal/R (incomplete table of INT rules)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.

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dvgrn
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Re: An engineered stable 5x pulse divider

Post by dvgrn » September 2nd, 2023, 9:29 am

confocaloid wrote:
September 2nd, 2023, 8:54 am
Amazingly, the same 2G collision leads to a stable 5x pulse divider in a different way:
(original on the left, new on the right)...
The repeat time of this mechanism appears to be 61 ticks, matching the Speed Tunnel...
I guess maybe one place to look for particularly small engineered pulse dividers would be cases where two 90-degree outputs of an H-to-2G can be reflected to collide with each other directly, with no need for trombone-slide adjustments. Trombone slides really take up a lot of space.

For this mechanism, there's at least one Ee2 H-to-2G where it's possible to get away with just one trombone slide, but it still comes out pretty bulky-looking:

Code: Select all

x = 104, y = 114, rule = LifeSuper
19.2A$19.A.A$21.A4.2A$17.4A.2A2.A2.A$17.A2.A.A.A.A.2A$19.BABABA.A$20.
B2ABA.A$21.2B.BA$20.3B$11.2A6.4B$12.A6.B2A3B$12.A.AB3.B2A3B$13.2AB.
10B$15.13B$15.14B54.A$15.15B51.3A$17.8B2.4B49.A$17.6B5.4B48.2A$16.9B
4.4B45.4B$3.2A10.4B4.2A5.4B43.3B$4.A9.4B5.A7.4B41.4B$2.A10.4B7.3A5.4B
39.4B$2.5A5.4B5.3A2.A6.4B37.4B$7.A3.5B5.A2.A9.4B25.A9.4B$4.3AB2.7B.BA
.A2.2A9.4B19.A4.3A6.2B.B$3.A.2B2.8B.B2A15.4B18.3A5.A4.4B$3.4A12B18.4B
20.A3.2A3.4B$.2A2.BA3B2A7B19.4B18.2A3.8B$A2.3AB.2B2A7B20.4B17.4B3.5B$
2A.A.B3.10B21.4B18.2B2.5B$3.A8.8B21.4B16.11B2.3B$3.2A7.9B21.4B14.17B$
13.3B2.4B21.4B10.A3.17B$11.5B3.4B21.4B7.3A3.17B$11.2A7.4B21.4B5.A7.4B
3D9B$12.A8.4B21.4B4.2A5.5BD9B.B2A$9.3A10.4B21.9B4.7BD4B2.2B.BA.A$9.A
13.4B21.6B5.14B7.A$24.4B20.8B2.2D14B6.2A$25.4B17.11BDBD3B2.9B$26.4B
16.13BD5.10B$27.4B15.13B6.2A5.4B$28.4B12.2AB.10B8.A6.4B$29.4B10.A.AB
3.B2A3B7.3A8.4B$30.4B9.A6.B2A3B7.A11.4B$31.4B7.2A6.4B22.4B$32.4B15.3B
23.4B$33.4B15.2B.BA21.4B$34.4B13.B2ABA.A21.4B$35.4B11.BABABA.A22.4B$
36.4B8.A2.A.A.A.A.2A20.4B$26.A10.4B7.4A.2A2.A2.A21.4B$24.3A11.4B10.A
4.2A6.2A16.4B$8.A14.A15.4B7.A.A12.A18.4B$8.3A12.2A15.4B6.2A10.BA.A19.
4B10.2A$11.A7.2B.3B3.7B.B4.4B14.2A.B2A21.4B9.A$10.2A6.5B5.13B.4B12.B
2A2B24.4B10.A$10.5B2.36B6.4B18.2A5.4B5.5A$12.37BA4B3.6B19.A5.4B4.A$
11.2A34B3A4B2.6B20.A.AB.7B2.B3A$11.2A17B2A15BABA4B.7B21.2AB.7B3.2B.A$
12.B.16B2A15BA15B22.12B4A$14.23B3.2B2.20B21.7B2A3BAB2.2A$15.9B2.10B
11.18B20.7B2A2B.B3A2.A$16.8B3.6B16.16B20.10B3.B.A.2A$17.7B4.3B19.14B
20.8B8.A$14.11B3.B20.16B18.9B7.2A$13.12B2.2A20.14B.B2A15.4B2.3B$13.
12B2.A19.2AB.3B3.6B.BA.A13.4B3.5B$13.11B5.A16.A.AB7.6B4.A12.4B7.2A$
13.8B.4B2.2A16.A9.7B4.2A10.4B8.A$13.7B4.2A19.2A4.2A2.8B15.4B10.3A$13.
7B4.A24.A2.A12B12.4B13.A$13.6B6.3A21.2A3.11B11.4B$12.7B8.A26.4B2A5B
10.4B$11.8B36.3B2A5B9.4B$10.8B37.10B8.4B$9.9B38.9B7.4B$9.3B.6B37.9B6.
4B$7.2A2B.7B37.8B6.4B$6.A.AB2.6B39.8B4.4B$6.A5.6B40.6B4.4B$5.2A5.6B
40.6B3.4B$11.8B39.6B2.4B$12.8B37.7B.4B$11.9B37.6B.4B$11.9B38.9B$11.
10B37.8B$11.5B2A3B36.8B$11.5B2A4B26.A8.7B$11.11B3.2A21.3A6.6B$11.12BA
2.A24.A4.2B3D2B$13.8B2.2A4.2A19.2A4.4BD2B$7.2A4.7B9.A16.2A2.4B.4B3DB$
8.A4.6B7.BA.A16.A5.11B$8.A.AB.6B3.3B.B2A19.A2.12B$9.2AB.14B20.2A2.12B
$11.16B20.B3.11B$12.14B19.3B4.7B$11.16B16.6B3.8B$11.18B11.10B2.9B$12.
20B2.2B3.23B$13.31B2A16B.B$14.7B.22B2A17B2A$14.6B2.41B2A$13.6B3.42B$
13.4B6.36B2.5B$13.2B2AB12.4B.13B5.5B6.2A$11.2AB.2A14.4B4.B.7B3.3B.2B
7.A$10.A.AB18.4B15.2A12.3A$10.A22.B2AB15.A14.A$9.2A23.A14.3A$35.3A11.
A$37.A!

Jormungant
Posts: 579
Joined: May 27th, 2016, 1:01 am

Re: I'm looking for period multiplicating Herschel Tracks.

Post by Jormungant » September 22nd, 2023, 7:09 pm

confocaloid wrote:
August 31st, 2023, 10:00 pm
Failed attempt to beat the recovery time of a previous (25 + 6n, 26 + 6n)-pulse divider:

Code: Select all

#C Another pulse divider relying on the stable version of the beehive crystal
x = 199, y = 171, rule = LifeHistory
84.2A$65.2A.A.2A12.2A$64.A2.2A.A2.A.2A.A$63.A.A4.A.2A.A.2A$49.A14.A.
5A120.A$49.3A14.A4.A.2A114.3A$52.A12.A3.A.A.2A113.A8.2A$51.2A11.A3.A.
A117.2A7.A$64.2A3.A125.A.A$195.2A$177.A$176.A.A5.A$177.A6.A.3A$64.D
11.2A106.A.3A$44.2A18.3D9.2A119.2A$44.2A18.D.D24.2A101.2A2.A$66.D23.A
2.A100.A.2A$91.2A.A$94.A82.A17.3A$94.2A80.A.A15.A2.A$79.2A94.A2.A15.A
.A$80.A94.3A17.A$41.2A.A.2A29.3A$41.A.2A.2A17.2A10.A97.2A.A$65.A.A46.
A59.A2.2A$67.A45.A.A58.2A$67.2A44.A.A68.3A.A$112.2A.3A66.3A.A6.A$118.
A69.A5.A.A$76.2A.2A31.2A.3A77.A$77.A.A32.2A.A45.A$72.2A.A5.A.2A75.A.A
$53.D.D15.A.A.2A3.2A.A.A74.A.A11.A8.2A$53.D.D14.A6.A.A6.A72.2A.2A10.A
.A7.A$53.3D14.7A3.7A87.2A5.3A$157.4A.2A17.A$72.3A7.3A72.A2.A.2A$71.A
2.A3.A3.A2.A68.2A.A$71.2A4.A.A4.2A68.2A.2A$77.A.A$78.A73.4A.2A$152.A
2.A.2A$96.D52.2A.A$51.2A3.2A38.D.D50.2A.2A16.2D8.D3.2D6.3D.3D$50.A2.A
.A2.A18.3D5.2A9.3D71.2D12.2D8.D.D$45.A5.2A3.2A5.A13.D2.D4.2A11.D48.4A
.2A18.2E6.D11.3D.3D$44.A.A15.A.A11.D2.2D66.A2.A.2A18.E.E17.D5.D$45.A
17.A12.2D2.D63.2A.A26.E5.D11.3D.3D$144.2A.2A25.2E$67.2A28.2A81.D$67.A
.A23.A3.2A43.4A.2A$14.A54.A6.2A5.2A7.A.A47.A2.A.2A31.D3.2D6.3D.3D$14.
3A52.3A3.A2.A4.A.A5.A.A43.A2.A.A41.D.D7.D.D$17.A49.2A3.A3.A.A6.A5.A
13.2A27.A2.4A.2A36.D5.D5.3D.3D$16.2A48.A2.4A4.A7.2A3.2A14.A27.3A49.2D
4.D3.D.D$66.2A.A10.2A21.3A32.3A.2A36.D11.3D.3D$69.A.2A7.A22.A5.2A23.
4A2.A.2A$8.2A59.A.A9.3A25.2A22.A3.A$8.A59.2A.A.A9.A49.2A$5.2A.A63.2A$
5.A2.3A4.2A91.2A53.D.D.D$6.2A3.A3.2A90.A2.A53.D.D.D$8.4A96.A.A11.3D
40.D.D$8.A15.2A80.A.A.A.A9.D41.D.D.D7.3D$9.3A12.A.A78.A.A.A.A.A8.3D
11.A26.D.D.D5.D2.D$12.A13.A79.A2.A2.A22.A.A24.D.D3.D3.3D.3D$7.5A14.2A
79.2A.2A22.A2.A7.2A14.D.D9.D2.D.D$7.A100.A.A24.2A8.2A13.D.D13.3D$9.A
98.A.A48.D.D$8.2A99.A50.D$121.2A18.3D$104.A16.2A19.D$88.A15.3A35.3D$
86.3A18.A$73.A11.A20.2A$73.3A9.2A46.2A$76.A56.A$63.2A10.2A57.3A$45.2A
17.A63.2A6.A$46.A17.A.A61.2A$45.A19.2A$45.2A37.D3.2A15.D$84.2D2.2A15.
D.D$85.2D18.3D$85.D21.D11.2A$84.D34.A$120.3A$7.2A35.D3.2A15.D56.A$8.A
14.2A8.2A9.2D2.2A15.D.D75.2A$8.A.A12.2A8.2A10.2D18.3D75.2A$9.2A34.D
21.D11.2A$41.2A.D34.A62.D7.A$5.2A34.A.A36.3A58.3D6.3A$5.A36.A39.A58.D
.2D8.A$6.3A143.2A$8.A24.D$33.2D$2.2A28.2D12.2A.2A$2.A.A40.A.A.2A30.2A
$4.A2.2A36.A.A33.2A$3.2A.A.A35.2A.A$6.A32.2A.A3.A$6.2A30.A.A.4A34.A$
32.2A.A2.A.A38.A.A31.2A4.2A$33.A.4A.4A36.A32.2A3.A2.A$33.A5.A3.A33.3A
39.2A$34.4A2.A30.A5.A57.D52.2A$36.A.2A31.3A61.2D9.A41.A$30.A43.A61.2D
7.A.A42.A$30.3A40.2A61.D8.A.A22.2A14.5A$33.A101.D10.A24.A13.A$8.3D21.
2A137.A.A12.3A$9.D55.2A47.2A56.2A15.A$9.3D53.A48.2A4.D16.2A47.4A$24.
2A36.2A.A53.3D15.2A7.2A33.2A3.A3.2A$24.A37.A2.3A4.2A44.D2.2D23.2A33.
2A4.3A2.A$21.2A.A38.2A3.A3.2A115.A.2A$D.D.D.D14.A2.3A4.2A32.4A45.2A
73.A$22.2A3.A3.2A32.A15.2A30.A.A72.2A$6.D17.4A38.3A12.A.A29.A$2.2E20.
A15.2A27.A13.A28.2A$3.E2.D18.3A12.A.A21.5A14.2A95.2A$3E25.A13.A21.A
115.A$E5.D16.5A14.2A22.A114.3A$23.A41.2A24.A91.A$6.D17.4A61.3A$26.A
61.A$D.D.D.D21.A59.2A$27.2A44.2A$10.2A62.A$10.2A7.2A53.A.2A$19.A55.A
2.A23.D$9.D7.A.A39.A16.2A24.D.D$8.3D6.2A38.3A31.2A9.3D.2A$.2A4.D2.2D
44.A34.2A11.D.2A$2.A19.A33.2A90.A$2.A.A16.A.A4.A117.3A$3.2A16.A2.A2.A
.A115.A$22.2A4.2A34.2A79.2A$65.A64.2A$65.A.2A61.2A$57.2A4.3A2.A25.2A.
A6.2A$.A55.2A3.A3.2A26.2A.3A3.A.A$A.A27.2A30.4A34.A2.A$.A6.D21.2A16.
2A15.A28.2A.3A2.2A26.2A$7.3D33.2A2.A.A12.3A30.A.A32.2A3.2A$9.D2.D31.A
2.A13.A21.2A10.A.A18.2A16.A.A5.2A$11.D20.A9.A2.3A14.5A16.2A11.A18.A.A
16.A7.2A$10.2D19.A.A8.3A21.A48.A17.2A$11.2D19.A12.A18.A49.2A8.2A$12.D
20.3A8.2A18.2A58.A22.A$35.A23.2A64.3A15.2A.A.A$4.2A53.A67.A14.A.A.A.A
$3.A.A4.2A44.2A.A79.A2.A.A.A.A.2A$3.2A5.2A19.D23.A2.A80.4A.2A2.A2.A$
29.D.D24.2A85.A4.2A$6.2A21.3D9.2A98.A.A$6.A22.D11.2A98.2A$7.3A$9.A3$
29.2A3.A$21.2A6.A3.A.A$21.A8.A3.A.A.2A$22.3A6.A4.A.2A$24.A4.A.5A$28.A
.A4.A.2A.A.2A$29.A2.2A.A2.A.2A.A$30.2A.A.2A12.2A$49.2A!
This version uses one of honey farm catalysts:

Code: Select all

#C https://conwaylife.com/forums/viewtopic.php?p=161592#p161592
x = 14, y = 24, rule = B3/S23
3bo$b3o$o$2o3$11bo$10bob2o$11b2o$3bo$2bobo$bo2bo$2b2o8$2o$o$b3o$3bo!
Probably it is possible to significantly improve recovery "on the left side of the loaf".
well, not sure if one can get a glider at the source instead of the target but well this is a thing:

Code: Select all

x = 73, y = 75, rule = LifeHistory
$12.A$12.3A$15.A$14.2A$14.4B$16.3B$4.4B2.A.3B.4B$4.4B.A2BA14B$3.2A3BA
4BA9BD4B$3.2A4B2A2BA7B3D4B$4.B.B2A2B3A7BDBD4B$6.15BD8B$7.9B2.13B$7.8B
6.10B$9.7B7.7B$8.10B6.8B$8.2B2A9B2.7B2A$9.8BD12B2AB$11.4BDBD15B.B$11.
4B3D9B2A5B2A$11.4BD4BA6B2A5B2A$12.9BA8B.4B$19.3AB.3B.B2.4B$20.4B$21.
4B13.E$22.4B10.3E$23.4B8.E$24.2BAB.5B.2E$25.2B2A4B2D2B$26.2A3BAB2DB$
27.9B$28.8B$29.10B$27.13B$27.14B$27.14B$23.A.2AB.12B$21.3AB2AB3.13B$
20.A4.B5.11B2AB$21.3A.2A5.9BA2BAB$23.A.A4.12B2A2B$25.A2.A.2AB.12B$25.
4AB2AB3.13B$30.B5.11B2AB$27.2A.2A5.9BA2BAB$27.2A.A4.12B2A2B$30.A2.A.
2AB.12B11.2A$30.4AB2AB3.13B8.A$35.B5.11B2AB4.A3.3A$32.2A.2A5.9BA2BAB
3.4A3.A$32.2A.A4.12B2A5B3.B.A.A$35.A2.A.2AB.17B2AB2A$35.4AB2AB3.15B2A
$40.B5.15B3.2A$37.2A.2A5.14B4.A$37.2A.A4.16B3.A$40.A2.A.2AB.5B2D6B2.
2A$40.4AB2AB3.3BD7B$45.B7.9B$42.2C.2C6.2B2A3B.B2A$43.C.C5.3BA2BA2B.BA
.A$41.C.C.C4.2A3BABAB5.A$41.2C3.2A.A.AB.2BA4B3.2A$47.A.A.2B6.2A$46.A
2.2AB7.A$47.2A2.B8.3A$49.2A11.A$49.A$50.A$49.2A!

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EvinZL
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Stable quinti-snark

Post by EvinZL » September 22nd, 2023, 9:43 pm

I'm not sure where to post this, but I just found this stable x5 pulse divider (shown attached to a simkin glider gun)

Code: Select all

x = 75, y = 81, rule = B3/S23
9bo$9b3o$12bo$11b2o5$2o5b2o$2o5b2o2$4b2o$4b2o4$20b2o5b2o$18bo8b2o$16b
2o4b2o$16bo6b2o6b2o$16bo2b2o2b3o5b2o$17bob2o17$35bo$36bo$34b3o11$61bo$
59b3o$58bo$58b2o$41bo$41b3o$44bo25b2o$43b2o25bo$67bo3b3o$67b4o3bo$46b
2o24bobo$45bo2bo20b2ob2o$46b2o21b2o$72b2o$73bo$72bo$53b2o17b2o$54bo$
51b3o$51bo11b2o5b2o$62bo2bo4bobo$58b2o3bobo6bo$54b2obobo4bo7b2o$55bobo
9b2o$54bo2b2o8bo$55b2o11b3o$57b2o11bo$57bo$58bo$57b2o!

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dvgrn
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Re: I'm looking for period multiplicating Herschel Tracks.

Post by dvgrn » September 22nd, 2023, 10:25 pm

Cross-posting a really nice find by EvinZL -- a stable quinti-Snark:
EvinZL wrote:
September 22nd, 2023, 9:43 pm
I'm not sure where to post this, but I just found this stable x5 pulse divider (shown attached to a simkin glider gun)

Code: Select all

x = 75, y = 81, rule = B3/S23
9bo$9b3o$12bo$11b2o5$2o5b2o$2o5b2o2$4b2o$4b2o4$20b2o5b2o$18bo8b2o$16b
2o4b2o$16bo6b2o6b2o$16bo2b2o2b3o5b2o$17bob2o17$35bo$36bo$34b3o11$61bo$
59b3o$58bo$58b2o$41bo$41b3o$44bo25b2o$43b2o25bo$67bo3b3o$67b4o3bo$46b
2o24bobo$45bo2bo20b2ob2o$46b2o21b2o$72b2o$73bo$72bo$53b2o17b2o$54bo$
51b3o$51bo11b2o5b2o$62bo2bo4bobo$58b2o3bobo6bo$54b2obobo4bo7b2o$55bobo
9b2o$54bo2b2o8bo$55b2o11b3o$57b2o11bo$57bo$58bo$57b2o!
... Or is a quinti-Boojum? It is 180 degrees, after all, which was what made the original wannabe Snark into a boojum reflector -- but then, the p5 quinti-Snark and its variants are also 180 degrees.

There's plenty of space between input and output lanes to add a Snark and thus de-boojify the Boojum -- 22 lanes, and if I remember right the minimum is 17.

Was this bit of research inspired by Jormungant's oscillatrificiation of confocaloid's eater2-chain period doublers (the previous two posts on this thread)?

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EvinZL
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Re: I'm looking for period multiplicating Herschel Tracks.

Post by EvinZL » September 22nd, 2023, 10:58 pm

I think this achieves 6n+4 pulse division based on confocaloid's easter2-honeyfarm crystal

Code: Select all

x = 75, y = 81, rule = LifeSuper
9.A$9.3A$12.A$11.2A$11.4B$13.3B$.4B2.B.3B.4B$.4B.18B$2A5B2A16B$2A5B2A
16B$.B.15BABA4B$3.B2A11BA2BA6B$4.2A7B2.3BA2BAB2A3B$4.8B6.3BA2BA3B$6.
7B7.2B2A3B$5.10B6.B2A5B$5.13B2.7B2A$6.21B2AB$8.22B.B$8.16B2A5B2A$8.
16B2A5B2A$9.18B.4B$16.4B.3B.B2.4B$17.4B38.4B$18.4B36.4B$19.4B34.4B$
20.4B32.4B$21.4B30.4B$22.4B28.4B$23.4B26.4B$24.4B24.4B$25.3BA22.4B$
26.ABAB20.4B$27.2A2B18.4B$28.4B16.4B$29.4B14.4B$30.4B12.4B$31.4B10.4B
$32.4B8.4B$33.4B6.4B$34.4B4.6B7.2A$35.4B2.7B7.A$36.4B.9B2.BA.A$37.14B
.B2A$38.11BA3B$39.9BABA2B$40.8BABA2B$41.4B.3BA3B$42.4B.6B$43.4B.6B$
44.10B$45.9B$35.C.2C6.10B$35.2C2.C5.12B$38.C.B.16B$35.2C.2C19B$35.C.C
3.2C16B$37.C.2CB.C15B11.2A$36.C.C2.3C2B3.13B8.A$36.C2.2C3.2B3.14B4.A
3.3A$37.2C2.3C6.14B3.4A3.A$39.C2.C5.19B3.B.A.A$39.AC3.C.A.2AB.17B2AB
2A$41.2AC.2AB2AB3.15B2A$39.2A2.A4.B5.15B3.2A$38.A2.A2.3A.2A5.3B.10B4.
A$39.2A5.A.A4.5B2.9B3.A$46.A.A4.2A6.9B2.2A$47.A6.A6.9B$51.3A7.9B$51.A
9.2B2A3B.B2A$59.3BA2BA2B.BA.A$58.2A3BABAB5.A$54.2A.A.AB.2BA4B3.2A$55.
A.A.2B6.2A$54.A2.2AB7.A$55.2A2.B8.3A$57.2A11.A$57.A$58.A$57.2A!
EDIT: x11 divider!

Code: Select all

x = 90, y = 86, rule = LifeSuper
9.A$9.3A$12.A$11.2A$11.4B$13.3B$.4B2.B.3B.4B$.4B.18B$2A5B2A16B$2A5B2A
16B$.B.22B$3.B2A21B$4.2A7B2.13B$4.8B6.10B$6.7B7.7B$5.10B6.8B$5.4B2A3B
A3B2.7B2A$6.3B2AB2AB2A10B2AB$8.BA7BA12B.B$8.2A6BA7B2A5B2A$8.B2A2B2A9B
2A5B2A$9.2A2B2A12B.4B$16.4B.3B.B2.4B$17.4B$18.4B$19.4B$20.4B$21.4B$
22.4B$23.4B$24.4B$25.4B$26.4B$27.4B$28.4B$29.4B$30.4B$31.4B$32.4B$33.
4B$34.4B$35.4B$36.4B$37.4B$38.3BA31.B$39.ABAB29.2B$40.2A2B27.3B$41.4B
25.4B$42.4B23.4B$43.4B21.4B$44.4B19.4B$45.4B17.4B$46.4B15.4B$47.4B13.
4B$48.4B11.4B$49.4B9.4B$50.4B7.4B$51.4B5.4B$52.4B3.6B7.2A$53.4B.7B7.A
$54.13B2.BA.A$55.13B.B2A$56.10BA3B$57.8BABA2B6.2A3.A$58.7BABA2B7.A2.A
.A$59.7BA3B5.A4.A.A$60.10B5.5A.A$61.10B8.A$62.9B4.2AB2.A$63.8B3.B2A3B
.A$52.A.2A6.10B3.4B.2A$52.2A2.A5.16B$55.A.B.19B$52.2A.2A21B10.2A$52.A
.A3.2A19B2.2B5.A$54.A.2AB.A23B.BA.A$53.A.A2.3A2B3.18B.B2A$53.A2.2A3.
2B3.15BA4B$54.2A2.3A5.14BABA4B$56.A2.A7.14BA4B$56.2A3.A6.16B.B2A$60.
2A9.13B.BA.A$71.2B2A4B2.2B5.A$72.A2BA2B10.2A$72.B2A3B$73.B.B!

Jormungant
Posts: 579
Joined: May 27th, 2016, 1:01 am

Re: I'm looking for period multiplicating Herschel Tracks.

Post by Jormungant » September 23rd, 2023, 8:40 am

EvinZL wrote:
September 22nd, 2023, 10:58 pm
I think this achieves 6n+4 pulse division based on confocaloid's easter2-honeyfarm crystal

Code: Select all

x = 75, y = 81, rule = LifeSuper
9.A$9.3A$12.A$11.2A$11.4B$13.3B$.4B2.B.3B.4B$.4B.18B$2A5B2A16B$2A5B2A
16B$.B.15BABA4B$3.B2A11BA2BA6B$4.2A7B2.3BA2BAB2A3B$4.8B6.3BA2BA3B$6.
7B7.2B2A3B$5.10B6.B2A5B$5.13B2.7B2A$6.21B2AB$8.22B.B$8.16B2A5B2A$8.
16B2A5B2A$9.18B.4B$16.4B.3B.B2.4B$17.4B38.4B$18.4B36.4B$19.4B34.4B$
20.4B32.4B$21.4B30.4B$22.4B28.4B$23.4B26.4B$24.4B24.4B$25.3BA22.4B$
26.ABAB20.4B$27.2A2B18.4B$28.4B16.4B$29.4B14.4B$30.4B12.4B$31.4B10.4B
$32.4B8.4B$33.4B6.4B$34.4B4.6B7.2A$35.4B2.7B7.A$36.4B.9B2.BA.A$37.14B
.B2A$38.11BA3B$39.9BABA2B$40.8BABA2B$41.4B.3BA3B$42.4B.6B$43.4B.6B$
44.10B$45.9B$35.C.2C6.10B$35.2C2.C5.12B$38.C.B.16B$35.2C.2C19B$35.C.C
3.2C16B$37.C.2CB.C15B11.2A$36.C.C2.3C2B3.13B8.A$36.C2.2C3.2B3.14B4.A
3.3A$37.2C2.3C6.14B3.4A3.A$39.C2.C5.19B3.B.A.A$39.AC3.C.A.2AB.17B2AB
2A$41.2AC.2AB2AB3.15B2A$39.2A2.A4.B5.15B3.2A$38.A2.A2.3A.2A5.3B.10B4.
A$39.2A5.A.A4.5B2.9B3.A$46.A.A4.2A6.9B2.2A$47.A6.A6.9B$51.3A7.9B$51.A
9.2B2A3B.B2A$59.3BA2BA2B.BA.A$58.2A3BABAB5.A$54.2A.A.AB.2BA4B3.2A$55.
A.A.2B6.2A$54.A2.2AB7.A$55.2A2.B8.3A$57.2A11.A$57.A$58.A$57.2A!
EDIT: x11 divider!

Code: Select all

x = 90, y = 86, rule = LifeSuper
9.A$9.3A$12.A$11.2A$11.4B$13.3B$.4B2.B.3B.4B$.4B.18B$2A5B2A16B$2A5B2A
16B$.B.22B$3.B2A21B$4.2A7B2.13B$4.8B6.10B$6.7B7.7B$5.10B6.8B$5.4B2A3B
A3B2.7B2A$6.3B2AB2AB2A10B2AB$8.BA7BA12B.B$8.2A6BA7B2A5B2A$8.B2A2B2A9B
2A5B2A$9.2A2B2A12B.4B$16.4B.3B.B2.4B$17.4B$18.4B$19.4B$20.4B$21.4B$
22.4B$23.4B$24.4B$25.4B$26.4B$27.4B$28.4B$29.4B$30.4B$31.4B$32.4B$33.
4B$34.4B$35.4B$36.4B$37.4B$38.3BA31.B$39.ABAB29.2B$40.2A2B27.3B$41.4B
25.4B$42.4B23.4B$43.4B21.4B$44.4B19.4B$45.4B17.4B$46.4B15.4B$47.4B13.
4B$48.4B11.4B$49.4B9.4B$50.4B7.4B$51.4B5.4B$52.4B3.6B7.2A$53.4B.7B7.A
$54.13B2.BA.A$55.13B.B2A$56.10BA3B$57.8BABA2B6.2A3.A$58.7BABA2B7.A2.A
.A$59.7BA3B5.A4.A.A$60.10B5.5A.A$61.10B8.A$62.9B4.2AB2.A$63.8B3.B2A3B
.A$52.A.2A6.10B3.4B.2A$52.2A2.A5.16B$55.A.B.19B$52.2A.2A21B10.2A$52.A
.A3.2A19B2.2B5.A$54.A.2AB.A23B.BA.A$53.A.A2.3A2B3.18B.B2A$53.A2.2A3.
2B3.15BA4B$54.2A2.3A5.14BABA4B$56.A2.A7.14BA4B$56.2A3.A6.16B.B2A$60.
2A9.13B.BA.A$71.2B2A4B2.2B5.A$72.A2BA2B10.2A$72.B2A3B$73.B.B!
Very nice to see this is working out indeed ^^, well I just wanted to add that the 4 + 6n family indeed works as in the n = 0 case, and it might be superior to the normal quad-snark, in that it allows to produce the glider on a transparent lane, with some minor modification:

Code: Select all

x = 162, y = 145, rule = LifeHistory
16$141.B$140.2B$139.3B$138.4B$137.4B$136.4B$135.4B$134.4B$133.4B$132.
4B$131.4B6.B$57.A72.4B6.2B$57.3A69.4B6.3B$60.A67.4B6.4B$59.2A66.4B6.
4B$59.4B63.4B6.4B$61.3B61.4B6.4B$49.4B2.B.3B.4B59.4B6.4B$49.4B.18B51.
4B6.4B$48.2A5B2A16B49.4B6.4B$48.2A5B2A16B48.4B6.4B$49.B.22B47.4B6.4B$
51.B2A21B44.4B6.4B$52.2A7B2.13B42.4B6.2A2B$52.8B6.10B41.4B6.ABAB$54.
3B3AB7.7B41.4B6.3BA$53.3BA4BAB6.8B38.4B6.4B$53.3B2ABA6B2.7B2A37.4B6.
4B$54.6B3A12B2AB35.4B6.4B$56.7BA14B.B32.4B6.4B$56.16B2A5B2A30.4B6.4B$
56.16B2A5B2A29.4B6.4B$57.18B.4B29.4B6.4B$64.4B.3B.B2.4B28.4B6.4B$65.
4B38.4B6.4B$66.4B36.4B6.4B$67.4B34.4B6.4B$68.4B32.4B6.4B$69.4B30.4B6.
4B$70.4B28.4B6.4B$71.4B26.4B6.4B$72.4B24.4B6.4B$73.4B22.4B6.4B$74.4B
20.4B6.4B$75.4B18.4B6.4B$76.4B16.4B6.4B$77.4B14.4B6.4B$78.4B12.4B6.4B
$79.4B10.2B8.4B$80.4B8.3B7.4B$81.4B6.4B6.4B$82.4B4.5B5.4B$83.4B2.6B4.
4B$84.4B.6B3.4B$85.10B2.4B$86.9B.4B$87.3BA10B7.2A$88.3BA9B7.A$89.3A
11B2.BA.A$90.14B.B2A$91.11BA3B$90.11BABA2B$89.12BABA2B$88.4B2.8BA3B$
87.4B4.11B$86.4B6.11B$85.4B8.10B$84.4B10.9B$83.4B3.2C6.10B10.2A$82.4B
3.C2.C5.12B8.A$81.4B4.A.C.B.16B4.A3.3A$80.3A2B3.2C.2C16BABA3.4A3.A$
79.3BA2B2.A2.C3.2C15BA3B3.B.A.A$78.3BA3B2.2A.C.2CB.C10BA9B2AB2A$77.8B
4.C.C2.3C2B3.4BAB2A7B2A$76.9B4.C2.2C3.2B3.4BA10B3.2A$75.4B.5B5.2C2.A
2C6.14B4.A$74.4B2.5B7.C2.C5.16B3.A$73.4B4.4B7.AC3.C3.2AB.13B2.2A$72.
4B6.3B11.CA2.B.AB5.9B$71.4B8.2B12.A.3A7.9B$70.4B10.B10.A.A.A9.2B2A3B.
B2A$69.4B22.2A10.3BA2BA2B.BA.A$68.4B34.2A3BABAB5.A$67.4B31.2A.A.AB.2B
A4B3.2A$66.4B33.A.A.2B6.2A$65.4B33.A2.2AB7.A$64.4B35.2A2.B8.3A$63.4B
38.2A11.A$62.4B39.A$61.4B41.A$60.4B41.2A$59.4B$58.4B$57.4B$56.4B$55.
4B.3B.B2.4B$48.18B.4B$47.16B2A5B2A$47.16B2A5B2A$47.7BA14B.B$45.6B3A
12B2AB$44.3B2ABA6B2.7B2A$44.3BA4BAB6.8B$45.3B3AB7.7B$43.8B6.10B$43.2A
7B2.13B$42.B2A21B$40.B.22B$39.2A5B2A16B$39.2A5B2A16B$40.4B.18B$39.5B
2.B.3B.4B$38.4B10.3B$37.4B9.4B$36.4B10.2A$35.4B12.A$34.4B10.3A$33.4B
11.A$32.4B$31.4B$30.4B$29.4B$28.4B$27.4B$26.4B!


User avatar
EvinZL
Posts: 807
Joined: November 8th, 2018, 4:15 pm
Location: A tungsten pool travelling towards the sun
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Re: I'm looking for period multiplicating Herschel Tracks.

Post by EvinZL » September 23rd, 2023, 8:56 am

It might also be worth pointing out this quite compact edgeshooting x12 divider

Code: Select all

x = 90, y = 86, rule = LifeSuper
9.A$9.3A$12.A$11.2A$11.4B$13.3B$.4B2.B.3B.4B$.4B.18B$2A5B2A16B$2A5B2A
16B$.B.22B$3.B2A21B$4.2A7B2.13B$4.8B6.10B$6.7B7.7B$5.10B6.8B$5.7BABA
3B2.7B2A$6.5BA3BA11B2AB$8.2BA4BA14B.B$8.2BA4BA8B2A5B2A$8.2BA3BA9B2A5B
2A$9.2BA2BA12B.4B$16.4B.3B.B2.4B$17.4B$18.4B$19.4B$20.4B$21.4B$22.4B$
23.4B$24.4B$25.4B$26.4B$27.4B$28.4B$29.4B$30.4B$31.4B$32.4B$33.4B$34.
4B$35.4B$36.3BA$37.3BA$38.3AB$39.4B$40.4B$41.4B$42.4B$43.4B$44.4B$45.
4B$46.4B$47.4B$48.4B$49.4B$50.4B$51.4B$52.4B$53.4B$54.4B16.2A$55.4B
16.A$56.4B13.A$57.4B12.5A3.A$58.4B15.A2.A.A$59.4B8.5A4.A.A$60.4B6.A3.
A.4A.A$61.4B5.2A7.A$53.A8.10B3.2AB2.A$53.3A7.7B4.B2A3B.A$43.2B11.A7.
9B2.4B.2A$42.4B9.2A5.B.14B$43.4B8.23B$44.4B9.21B10.2A$45.4B7.2B2A19B
2.2B5.A$46.4B5.2BA2BA23B.BA.A$47.4B4.3B2A4B2.18B.B2A$48.4B.9B4.15BA4B
$49.12B5.14BABA4B$50.10B7.14BA4B$51.9B8.16B.B2A$52.9B10.13B.BA.A$53.
7B11.2B2A4B2.2B5.A$54.6B12.A2BA2B10.2A$56.2B14.B2A3B$73.B.B!
at least, it reduces gun_1440 from 2496 to 2397

Code: Select all

x = 51, y = 47, rule = LifeSuper
9.A$9.3A$12.A$11.2A$11.4B$13.3B$.4B2.B.3B.4B$.4B.18B$2A5B2A16B$2A5B2A
16B$.B.22B$3.B2A21B$4.2A7B2.13B$4.8B6.10B$6.7B7.7B$5.10B6.8B$5.7BABA
3B2.7B2A$6.5BA3BA11B2AB$8.2BA4BA14B.B$8.2BA4BA8B2A5B2A$8.2BA3BA9B2A5B
2A$9.2BA2BA12B.4B3.2A$16.4B.3B.B2.4B4.A$34.A$34.5A3.A$38.A2.A.A$32.5A
4.A.A$31.A3.A.4A.A$31.2A7.A$14.A12.6B3.2AB2.A$14.3A11.3B4.B2A3B.A$4.
2B11.A11.5B2.4B.2A$3.4B9.2A5.B.14B$4.4B8.23B$5.4B9.21B10.2A$6.4B7.2B
2A19B2.2B5.A$7.4B5.2BA2BA23B.BA.A$8.4B4.3B2A4B2.18B.B2A$9.4B.9B4.15BA
4B$10.12B5.14BABA4B$11.10B7.14BA4B$12.9B8.16B.B2A$13.9B10.13B.BA.A$
14.7B11.2B2A4B2.2B5.A$15.6B12.A2BA2B10.2A$17.2B14.B2A3B$34.B.B!

User avatar
confocaloid
Posts: 1655
Joined: February 8th, 2022, 3:15 pm

Re: I'm looking for period multiplicating Herschel Tracks.

Post by confocaloid » September 24th, 2023, 4:28 am

It seems the lowest "safe" repeat time for these pulse dividers is 107, due to the glider-emitting part. The JJ-to-beehive stage would work with 72-tick interval between gliders.
Jormungant wrote:
September 22nd, 2023, 7:09 pm
confocaloid wrote:
August 31st, 2023, 10:00 pm
...
well, not sure if one can get a glider at the source instead of the target but well this is a thing:

Code: Select all

...
Here is another way to get output gliders at the source, probably useless, since it is engineered (not compact) and the resulting family is 6n (x24 shown):

Code: Select all

x = 98, y = 121, rule = LifeHistory
74.2A$73.A.A$67.2A4.A$65.A2.A2.2A.4A$65.2A.A.A.A.A2.A$68.A.ABABAB$68.
A.AB2AB$69.AB.2B$72.3B$72.4B6.2A$70.3B2AB6.A$70.3B2AB3.BA.A$68.10B.B
2A$67.13B$66.14B$65.15B$64.4B2.8B$63.4B5.6B$62.4B4.9B$46.2A13.4B5.2A
4.4B$46.A.A2.2A7.4B3.A3.A5.4B$43.A4.A3.A6.4B4.4A7.4B$22.2E19.5A.3A6.
4B17.4B10.2A$23.E23.A.A7.4B6.2A11.4B9.A$23.E.EB16.3ABABA6.4B3.2A2.A.A
11.4B10.A$24.ECB15.A2.AB2A6.4B4.A.A.A2.A4.2A5.4B5.5A$26.3B13.2A2.4B4.
5B5.BA.AB2A5.A5.4B4.A$26.4B16.14B4.2ABA8.A.AB.7B2.B3A$27.4B16.2BA10B
4.3BA.2A6.2AB.7B3.2B.A$28.4B15.BABA3B2D4B.4B.BABA2.A6.12B4A$29.4B14.A
2BA3BDB2D4B2A2B.BA2.2A6.7B2A3BAB2.2A$30.4B13.B2A7BD2B.A2BA2B12.7B2A2B
.B3A2.A$31.4B12.8BDBD4B2A2B.BA2.2A6.10B3.B.A.2A$32.4B9.2AB.5B3D3B.4B.
BABA2.A5.8B8.A$33.4B7.A.AB3.10B3.3BA.2A6.9B7.2A$34.4B6.A4.5B.7B2.2ABA
8.4B2.3B$35.4B4.2A4.2A4.6B3.BA.AB2A4.4B3.5B$36.4B10.A3.7B2.A.A.A2.A3.
4B7.2A$37.4B6.3A5.B2A3B2.2A2.A.A3.4B8.A$38.4B5.A7.B2A2B7.2A3.4B10.3A$
39.4B5.2A4.6B11.4B13.A$40.4B5.A4.6B10.4B$41.4B4.A.AB.7B8.4B23.2E$42.
4B4.2AB2.6B7.4B24.E$43.4B5.8B7.4B22.BE.E$44.4B4.8B6.4B23.BCE$45.4B4.
8B4.4B22.3B$46.4B4.7B3.4B22.4B$47.4B4.6B2.4B22.4B$48.4B3.2B3D6B22.4B$
36.2A11.2B2A2.2BD7B22.4B$2.2A33.A12.2A2B.B3D8B19.4B$2B2AB32.A.AB10.BA
14B.2B15.4B$4B13.A20.2AB.2A8.20B12.4B$4B12.A.A21.2B2AB8.20B2.B7.4B$.
2A2B11.A.3A19.4B10.23B5.4B$.2ABA8.2A.A4.A18.6B8.23B4.4B$2.2BAB7.A.A.A
BABA16.B2.5B2.B5.24B2.4B$2.2BAB9.A.A.2A4.2A10.2AB.2B2A6B2.25B.4B$.A2B
AB8.ABA4B4.A11.2A4B2A37B$2.2A2.3B3.3BA2B4.2A.A12.2B.40B$6.4B.5B4.A.2B
A16.39B$5.12B2.A3B17.39B$2.20BA17.38B$.2A16B3AB18.35B$.2AB.5B3A11B17.
9B2.B5.17B$2.B2.4B2A3BA5B.4B15.9B10.16B$4.2B2AB3A2BA4B3.4B14.8B11.16B
$4.2B2A3BA2BA2B6.4B13.7B14.13B$4.2BA2BA2B2A3B7.4B8.A2.2B3D2B18.9B$5.
2BA2B2A3B10.4B6.A.A.4BD2B19.6B$4.4B4A5B9.4B6.A.4B3DB19.4B$5.7B3.2A10.
4B7.8B21.B$5.7B3.A12.4B6.8B$7.4B5.3A10.4B5.B2C5B$8.3B7.A11.4B3.2B2C4B
$11.3B17.4B2.6B$11.3B2A2.B13.10B$10.4A4B2A13.11B$10.3AB2A2B2A14.10B$
11.B2.BA3B16.3BA5B$16.3B16.4BA5B$35.2B3A5B$35.13B$35.14B$35.15B$36.
14B$38.12B$40.13B$40.14B$41.14B$39.16B$37.A.2AB.12B$35.3AB2AB3.13B$
34.A4.B5.14B$35.3A.2A5.14B$37.A.A4.16B$39.A2.A.2AB.12B11.2A$39.4AB2AB
3.6BA6B8.A$44.B5.7BA6B4.A3.3A$41.2A.2A5.4B3A4B2AB3.4A3.A$41.2A.A4.13B
2A4B3.B.A.A$44.A2.A.2AB.17B2AB2A$44.4AB2AB3.10B3D2B2A$49.B5.10BD2BDB
3.2A$46.2A.2A5.3B.4BD2B2DB4.A$47.A.A4.5B2.3B2D2BDB3.A$47.A.A4.2A6.9B
2.2A$48.A6.A6.9B$52.3A7.9B$52.A9.2B2A3B.B2A$60.3BA2BA2B.BA.A$59.2A3BA
BAB5.A$55.2A.A.AB.2BA4B3.2A$56.A.A.2B6.2A$55.A2.2AB7.A$56.2A2.B8.3A$
58.2A11.A$58.A$59.A$58.2A!
127:1 B3/S234c User:Confocal/R (incomplete table of INT rules)
Unlikely events happen.
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Disaster16439
Posts: 152
Joined: June 30th, 2023, 9:17 am
Location: In the b2c3-jn4js1c2-ae34ry6 heaven, after being digested by a bug.

Re: I'm looking for period multiplicating Herschel Tracks.

Post by Disaster16439 » October 6th, 2023, 10:23 pm

Code: Select all

x = 96, y = 81, rule = LifeHistory
19.A$17.3A$16.A$16.2A$13.5B12.A$12.4B12.3A$11.6B2.B7.A$11.6B.4B5.2A$
9.14B2.4B$8.15B.3B$8.14B.5B$6.23B$5.26B$4.28B$4.29B$4.30B$2.2AB.9B2A
11B3.4B$.A.AB3.B2A4BA7B2A7.4B$.A5.2BA7B2A4B2A8.4B$2A4.7B4ABA5B10.4B$
7.2BA3B5ABA3B12.4B$7.2B2A4BA2BABA2B13.4B$8.2B.8BA2B15.4B$10.10B18.4B$
9.ABA2BA4B20.4B$8.BA2B2A3B23.4B$8.9B24.4B$6.2AB.7B25.4B7.2A$5.A.AB2.
5B27.4B7.A$5.A6.4B28.4B6.A.A$4.2A6.4B29.4B6.A.A$13.4B29.4B6.A3.2A$14.
3BA29.4B9.2A$15.A2B30.4B$16.A2BA29.4B$18.BA30.4B$18.A32.4B$19.3A30.4B
$21.A31.3BA$54.3BA$55.3A3$50.A$49.A.A$49.A.A29.2A$48.2A.2A28.A$47.A2.
A2.A25.A.A$46.A.A.A.A.A24.2A$47.A.A.A.A$49.A.A$48.A2.A$49.2A3$50.2A$
50.2A$91.2A$91.A$88.A3.3A$88.4A3.A$93.A.A$90.2A.2A$90.2A$93.2A$94.A$
93.A$93.2A3$84.2A5.2A$83.A2.A4.A.A$79.2A3.A.A6.A$75.2A.A.A4.A7.2A$76.
A.A9.2A$75.A2.2A8.A$76.2A11.3A$78.2A11.A$78.A$79.A$78.2A!
A way of getting ligders from the tl-hf crystal, though it requires the gun to be an even period, a semi-snark before will do
Edit 1:To show that there are still stuf in the search space, here is a near miss sextupler:

Code: Select all

x = 109, y = 100, rule = LifeHistory
8$20.A$18.3A$17.A$17.2A$14.5B12.A$13.4B12.3A$12.6B2.B7.A$12.6B.4B5.2A
$10.14B2.4B$9.15B.3B$9.14B.5B$7.23B$6.26B$5.28B$5.29B$5.30B$3.2AB.9B
2A11B3.4B$2.A.AB3.B2A4BA7B2A7.4B$2.A5.2BA7B2A4B2A8.4B$.2A4.7B4ABA5B
10.4B$8.2BA3B5ABA3B12.4B$8.2B2A4BA2BABA2B13.4B$9.2B.8BA2B15.4B$11.10B
18.4B$10.ABA2BA4B20.4B$9.BA2B2A3B23.4B$9.9B24.4B$7.2AB.7B25.4B$6.A.AB
2.5B27.4B$6.A6.4B28.4B$5.2A6.4B29.4B$14.4B29.4B$15.3BA29.4B$16.A2B30.
4B$17.A2BA29.4B$19.BA30.4B$19.A32.4B$20.3A30.4B$22.A31.3BA$55.3BA$56.
3A10$83.A$81.3A$80.A$80.2A4$92.2A$92.A$69.A19.A3.3A$68.A.A18.4A3.A$
68.A2.A22.A.A$69.2A20.2A.2A$60.2A29.2A$59.A.A32.2A$59.A35.A$58.2A34.A
$94.2A3$85.2A5.2A$84.A2.A4.A.A$80.2A3.A.A6.A$76.2A.A.A4.A7.2A$77.A.A
9.2A$76.A2.2A8.A$77.2A11.3A$79.2A11.A$79.A$80.A$79.2A!
The search space before the traffic light with eater 1s and blocks have been explored quite a lot.
Edit 2:

Code: Select all

x = 96, y = 81, rule = LifeHistory
19.A$17.3A$16.A$16.2A$13.5B12.A$12.4B12.3A$11.6B2.B7.A$11.6B.4B5.2A$
9.11B2AB2.4B$8.12B2AB.3B$8.7B3ABABA.5B$6.9B3A11B$5.10B2A7B2A5B$4.12BA
7B2A6B$4.12B3A2B2A10B$4.12BAB4A12B$2.2AB.11B2A9B3.4B$.A.AB3.6B2A3B3A
3B7.4B$.A5.7B2A3BABA3B8.4B$2A4.14BA3B10.4B$7.16B12.BABA$7.16B13.B2AB$
8.2B.11B15.A3B$10.10B18.4B$9.10B20.4B$8.9B23.4B$8.9B24.4B$6.2AB.7B25.
4B$5.A.AB2.5B27.4B$5.A6.4B28.4B$4.2A6.4B29.4B$13.4B29.4B$14.4B29.4B
22.B$15.3B30.4B20.3B$16.4B29.4B19.4B$18.2A30.4B19.4B$18.A32.4B19.4B$
19.3A30.4B19.4B$21.A31.4B19.4B$54.4B19.4B$55.4B19.4B$56.4B19.4B$57.4B
19.4B$58.4B19.4B$59.4B19.B3D$60.4B8.2A7.2BD3B$61.4B8.A7.3BD3B$62.4B7.
A.AB2.9B$63.4B7.2AB.11B$64.4B8.3BA9B$65.4B7.2BABA7B$66.4B6.2BABA7B$
67.4B5.3BA3B2.B$68.4B4.6B$69.4B2.6B$70.4B2.5B$71.9B$72.8B11.2A$72.11B
8.A$72.12B4.A3.3A$72.13B3.4A3.A$72.16B3.B.A.A$70.2AB.16B2AB2A$69.A.AB
.16B2A$69.A4.16B3.2A$68.2A5.4B.10B4.A$76.3B2.BABA5B3.A$77.B4.B2A6B2.
2A$82.BA7B$82.9B$82.2B2A3B.B2A$80.3BA2BA2B.BA.A$79.2A3BABAB5.A$75.2A.
A.AB.2BA4B3.2A$76.A.A.2B6.2A$75.A2.2AB7.A$76.2A2.B8.3A$78.2A11.A$78.A
$79.A$78.2A!
YES! STABLE 6X MULTIPLIER
Also it makes a nice edge shooter:

Code: Select all

x = 101, y = 81, rule = LifeHistory
19.A$17.3A$16.A$16.2A$13.5B12.A$12.4B12.3A$11.6B2.B7.A$11.6B.4B5.2A$
9.14B2.4B$8.9B2AB2AB.3B$8.9B2AB2A.5B$6.23B$5.19B2A5B$4.14BA5B2A6B$4.
10B4ABA13B$4.10BA19B$2.2AB.8BA5B2A6B3.4B$.A.AB3.7B8A2B7.4B$.A5.8BA5B
3AB8.3BA$2A4.13BA2B2A10.ABAB$7.12BA3B12.2A2B$7.16B13.4B$8.2B.11B15.4B
$10.10B18.4B$9.10B20.4B$8.9B23.4B$8.9B24.4B$6.2AB.7B25.4B$5.A.AB2.5B
27.4B$5.A6.4B28.4B$4.2A6.4B29.4B$13.4B29.4B$14.4B29.4B22.B$15.3B30.4B
20.3B$16.4B29.4B19.4B$18.2A30.4B19.4B$18.A32.4B19.4B$19.3A30.4B19.4B$
21.A31.4B19.4B$54.4B19.4B$55.4B19.4B$56.4B19.4B$57.4B19.4B$58.4B19.4B
$59.4B19.B3D$60.4B8.2A7.2BD3B$61.4B8.A7.3BD3B$62.4B7.A.AB2.9B$63.4B7.
2AB.11B$64.4B8.3BA9B$65.4B7.2BABA7B$66.4B6.2BABA7B$67.4B5.3BA3B2.B$
68.4B4.6B16.3A$69.4B2.B3A2B17.A$70.4B2.5B18.A$71.4BABABA$72.3B2AB2A
11.2A$72.B2A5B2AB8.A$72.B2A2BA2BA2BA4.A3.3A$72.4BABA2BABAB3.4A3.A$72.
5BA2BA2BA4B3.B.A.A$70.2AB.6B2A8B2AB2A$69.A.AB.3AB2A10B2A$69.A4.2ABABA
10B3.2A$68.2A5.4B.10B4.A$76.3A2.9B3.A$77.B4.9B2.2A$82.9B$82.9B$82.2B
2A3B.B2A$80.3BA2BA2B.BA.A$79.2A3BABAB5.A$75.2A.A.AB.2BA4B3.2A$76.A.A.
2B6.2A$75.A2.2AB7.A$76.2A2.B8.3A$78.2A11.A$78.A$79.A$78.2A!
Edit 3:
I was wrong. Here is a good starting point. Maybe run a short Bellman search with that active region?

Code: Select all

x = 75, y = 81, rule = LifeHistory
9.A$9.3A$12.A$11.2A5$2A5.2A$2A5.2A2$4.2A$4.2A4$20.2A5.2A$18.A8.2A$16.
2A4.2A$16.A6.2A6.2A$16.A2.2A2.3A5.2A$17.A.2A17$35.A$36.A$34.3A7$52.2A
$52.2A9$70.2A$70.A$67.A3.3A$67.4A3.A$72.A.A$69.2A.2A$69.2A$72.2A$73.A
$72.A$72.2A3$63.2A5.2A$62.A2.A4.A.A$58.2A3.A.A6.A$54.2A.A.A4.A7.2A$
55.A.A9.2A$54.A2.2A8.A$55.2A11.3A$57.2A11.A$57.A$58.A$57.2A!
Here is a Catalyst #2(white block is just to save the actual catalyst block):

Code: Select all

x = 75, y = 81, rule = LifeHistory
9.A$9.3A$12.A$11.2A5$2A5.2A$2A5.2A2$4.2A$4.2A4$20.2A5.2A$18.A8.2A$16.
2A4.2A$16.A6.2A6.2A$16.A2.2A2.3A5.2A$17.A.2A17$35.A$36.A$34.3A7$52.2A
$52.2A9$70.2A$70.A$67.A3.3A$67.4A3.A$72.A.A$44.2A23.2A.2A$39.2C3.2A
23.2A$39.2C31.2A$73.A$72.A$72.2A3$63.2A5.2A$62.A2.A4.A.A$58.2A3.A.A6.
A$54.2A.A.A4.A7.2A$55.A.A9.2A$54.A2.2A8.A$55.2A11.3A$57.2A11.A$57.A$
58.A$57.2A!
Edit 4:

Code: Select all

x = 75, y = 81, rule = LifeHistory
9.A$9.3A$12.A$11.2A$11.4B$13.3B$.4B2.B.3B.4B$.4B.18B$2A5B2A16B$2A5B2A
10BA5B$.B.15B2A5B$3.B2A12BABA2B2A2B$4.2A7B2.8BABA2B$4.8B6.7BA2B$6.7B
7.2BAB2AB$5.10B6.B2A5B$5.13B2.7B2A$6.21B2AB$8.22B.B$8.16B2A5B2A$8.16B
2A5B2A$9.18B.4B$16.4B.3B.B2.4B$17.4B$18.4B$19.4B$20.4B$21.4B$22.4B$
23.4B$24.4B$25.4B$26.B$30.B$29.3B$29.4B$30.4B$31.4B$32.4B$33.4B$34.4B
$35.4B$36.4B$37.4B$38.4B$39.4B$40.4B$41.4B7.2A$42.4B5.B2AB$43.4B4.3B$
44.4B4.B.B$45.4B.5B$46.3B2A3BAB$47.2B2A5BAB$48.6BA3B$49.4BA4B$39.2A8.
3B2ABA3B$39.2A8.4B2A4B11.2A$49.12B9.A$49.11B2AB4.A3.3A$49.10BA2BAB3.
4A3.A$50.10B2A5B3.B.A.A$52.17B2AB2A$54.2BA12B2A$54.BABA11B3.2A$55.ABA
.10B4.A$55.BAB2.9B3.A$56.B4.9B2.2A$61.9B$61.9B$61.2B2A3B.B2A$59.3BA2B
A2B.BA.A$58.2A3BABAB5.A$54.2A.A.AB.2BA4B3.2A$55.A.A.2B6.2A$54.A2.2AB
7.A$55.2A2.B8.3A$57.2A11.A$57.A$58.A$57.2A!
A frustrating near-miss. Non-nearmisses coming through!

Edit 5:

Code: Select all

x = 75, y = 81, rule = LifeHistory
9.A$9.3A$12.A$11.2A$11.4B$13.3B$.4B2.B.3B.4B$.4B.18B$2A5B2A16B$2A5B2A
10BA5B$.B.15B2A5B$3.B2A12BABA2B2A2B$4.2A7B2.8BABA2B$4.8B6.7BA2B$6.7B
7.2BAB2AB$5.10B6.B2A5B$5.13B2.7B2A$6.21B2AB$8.22B.B$8.16B2A5B2A$8.16B
2A5B2A$9.18B.4B$16.4B.3B.B2.4B$17.4B$18.4B$19.4B$20.4B$21.4B$22.4B$
23.4B$24.4B$25.4B$26.B$30.B$29.3B$29.4B$30.4B$31.4B$32.4B$33.4B$34.4B
$35.4B$36.4B$37.4B$38.4B$39.4B$40.4B$41.4B7.2A$42.4B5.B2AB$43.4B4.3B$
44.4B4.B.B$45.4B.5B$39.2A5.3B2A3BAB$39.2A6.2B2A5BAB$48.6BA3B$49.4BA4B
$49.3B2ABA3B$49.4B2A4B11.2A$49.12B9.A$49.11B2AB4.A3.3A$49.10BA2BAB3.
4A3.A$50.10B2A5B3.B.A.A$52.17B2AB2A$54.2BA12B2A$54.BABA11B3.2A$55.ABA
.10B4.A$55.BAB2.9B3.A$56.B4.9B2.2A$61.9B$61.9B$61.2B2A3B.B2A$59.3BA2B
A2B.BA.A$58.2A3BABAB5.A$54.2A.A.AB.2BA4B3.2A$55.A.A.2B6.2A$54.A2.2AB
7.A$55.2A2.B8.3A$57.2A11.A$57.A$58.A$57.2A!
This might be salvageable
More:

Code: Select all

x = 75, y = 81, rule = LifeHistory
9.A$9.3A$12.A$11.2A$11.4B$13.3B$.4B2.B.3B.4B$.4B.18B$2A5B2A16B$2A5B2A
10BA5B$.B.15B2A5B$3.B2A12BABA2B2A2B$4.2A7B2.8BABA2B$4.8B6.7BA2B$6.7B
7.2BAB2AB$5.10B6.B2A5B$5.13B2.7B2A$6.21B2AB$8.22B.B$8.16B2A5B2A$8.16B
2A5B2A$9.18B.4B$16.4B.3B.B2.4B$17.4B$18.4B$19.4B$20.4B$21.4B$22.4B$
23.4B$24.4B$25.4B$26.B$30.B$29.3B$29.4B$30.2B2A$31.B2AB$32.4B$33.4B$
34.4B$35.4B$36.4B$37.4B$38.4B$39.4B$40.4B$41.4B7.2A$42.4B5.B2AB$43.4B
4.3B$38.2A4.4B4.B.B$38.2A5.4B.5B$46.3B2A3BAB$47.2B2A5BAB$48.6BA3B$49.
4BA4B$49.3B2ABA3B$49.4B2A4B11.2A$49.12B9.A$49.11B2AB4.A3.3A$49.10BA2B
AB3.4A3.A$50.10B2A5B3.B.A.A$52.17B2AB2A$54.2BA12B2A$54.BABA11B3.2A$
55.ABA.10B4.A$55.BAB2.9B3.A$56.B4.9B2.2A$61.9B$61.9B$61.2B2A3B.B2A$
59.3BA2BA2B.BA.A$58.2A3BABAB5.A$54.2A.A.AB.2BA4B3.2A$55.A.A.2B6.2A$
54.A2.2AB7.A$55.2A2.B8.3A$57.2A11.A$57.A$58.A$57.2A!

Code: Select all

x = 75, y = 81, rule = LifeHistory
9.A$9.3A$12.A$11.2A$11.4B$13.3B$.4B2.B.3B.4B$.4B.18B$2A5B2A16B$2A5B2A
10BA5B$.B.15B2A5B$3.B2A12BABA2B2A2B$4.2A7B2.8BABA2B$4.8B6.7BA2B$6.7B
7.2BAB2AB$5.10B6.B2A5B$5.13B2.7B2A$6.21B2AB$8.22B.B$8.16B2A5B2A$8.16B
2A5B2A$9.18B.4B$16.4B.3B.B2.4B$17.4B$18.4B$19.4B$20.4B$21.4B$22.4B$
23.4B$24.4B$25.4B$26.B.2A$28.2AB$29.3B$29.4B$30.4B$31.4B$32.4B$33.4B$
34.4B$35.4B$36.4B$37.4B$38.4B$39.4B$40.4B$41.4B7.2A$42.4B5.B2AB$43.4B
4.3B$44.4B4.B.B$36.2A7.4B.5B$36.2A8.3B2A3BAB$47.2B2A5BAB$48.6BA3B$49.
4BA4B$49.3B2ABA3B$49.4B2A4B11.2A$49.12B9.A$49.11B2AB4.A3.3A$49.10BA2B
AB3.4A3.A$50.10B2A5B3.B.A.A$52.17B2AB2A$54.2BA12B2A$54.BABA11B3.2A$
55.ABA.10B4.A$55.BAB2.9B3.A$56.B4.9B2.2A$61.9B$61.9B$61.2B2A3B.B2A$
59.3BA2BA2B.BA.A$58.2A3BABAB5.A$54.2A.A.AB.2BA4B3.2A$55.A.A.2B6.2A$
54.A2.2AB7.A$55.2A2.B8.3A$57.2A11.A$57.A$58.A$57.2A!

Code: Select all

x = 75, y = 81, rule = LifeHistory
9.A$9.3A$12.A$11.2A$11.4B$13.3B$.4B2.B.3B.4B$.4B.18B$2A5B2A16B$2A5B2A
10BA5B$.B.15B2A5B$3.B2A12BABA2B2A2B$4.2A7B2.8BABA2B$4.8B6.7BA2B$6.7B
7.2BAB2AB$5.10B6.B2A5B$5.13B2.7B2A$6.21B2AB$8.22B.B$8.16B2A5B2A$8.16B
2A5B2A$9.18B.4B$16.4B.3B.B2.4B$17.4B$18.4B$19.4B$20.4B$21.4B$22.4B$
23.4B$24.4B$25.4B$26.B.2A$28.2AB$29.3B$29.4B$30.4B$31.4B$32.4B$33.4B$
34.4B$35.4B$36.4B$37.4B$38.4B$39.4B$40.4B$41.4B7.2A$36.2A4.4B5.B2AB$
36.2A5.4B4.3B$44.4B4.B.B$45.4B.5B$46.3B2A3BAB$47.2B2A5BAB$48.6BA3B$
49.4BA4B$49.3B2ABA3B$49.4B2A4B11.2A$49.12B9.A$49.11B2AB4.A3.3A$49.10B
A2BAB3.4A3.A$50.10B2A5B3.B.A.A$52.17B2AB2A$54.2BA12B2A$54.BABA11B3.2A
$55.ABA.10B4.A$55.BAB2.9B3.A$56.B4.9B2.2A$61.9B$61.9B$61.2B2A3B.B2A$
59.3BA2BA2B.BA.A$58.2A3BABAB5.A$54.2A.A.AB.2BA4B3.2A$55.A.A.2B6.2A$
54.A2.2AB7.A$55.2A2.B8.3A$57.2A11.A$57.A$58.A$57.2A!

Code: Select all

x = 75, y = 81, rule = LifeHistory
9.A$9.3A$12.A$11.2A$11.4B$13.3B$.4B2.B.3B.4B$.4B.18B$2A5B2A16B$2A5B2A
10BA5B$.B.15B2A5B$3.B2A12BABA2B2A2B$4.2A7B2.8BABA2B$4.8B6.7BA2B$6.7B
7.2BAB2AB$5.10B6.B2A5B$5.13B2.7B2A$6.21B2AB$8.22B.B$8.16B2A5B2A$8.16B
2A5B2A$9.18B.4B$16.4B.3B.B2.4B$17.4B$18.4B$19.4B$20.4B$21.4B$22.4B$
23.4B$24.4B$25.4B$26.B.2A$28.2AB$29.3B$29.4B$30.4B$31.4B$32.4B$33.4B$
34.4B$35.4B$36.4B$37.4B$38.4B$39.4B$40.4B$41.4B7.2A$42.4B5.B2AB$43.4B
4.3B$44.4B4.B.B$45.4B.5B$46.3B2A3BAB$47.2B2A5BAB$48.6BA3B$49.4BA4B$
49.3B2ABA3B$49.4B2A4B11.2A$49.12B9.A$49.11B2AB4.A3.3A$49.10BA2BAB3.4A
3.A$44.2A4.10B2A5B3.B.A.A$44.2A6.17B2AB2A$54.2BA12B2A$54.BABA11B3.2A$
55.ABA.10B4.A$55.BAB2.9B3.A$56.B4.9B2.2A$61.9B$61.9B$61.2B2A3B.B2A$
59.3BA2BA2B.BA.A$58.2A3BABAB5.A$54.2A.A.AB.2BA4B3.2A$55.A.A.2B6.2A$
54.A2.2AB7.A$55.2A2.B8.3A$57.2A11.A$57.A$58.A$57.2A!

Code: Select all

x = 75, y = 81, rule = LifeHistory
9.A$9.3A$12.A$11.2A$11.4B$13.3B$.4B2.B.3B.4B$.4B.18B$2A5B2A16B$2A5B2A
10BA5B$.B.15B2A5B$3.B2A12BABA2B2A2B$4.2A7B2.8BABA2B$4.8B6.7BA2B$6.7B
7.2BAB2AB$5.10B6.B2A5B$5.13B2.7B2A$6.21B2AB$8.22B.B$8.16B2A5B2A$8.16B
2A5B2A$9.18B.4B$16.4B.3B.B2.4B$17.4B$18.4B$19.4B$20.4B$21.2B2A$22.B2A
B$23.4B$24.4B$25.4B$26.B.2A$28.2AB$29.3B$29.4B$30.4B$31.4B$32.4B$33.
4B$34.4B$35.4B$36.4B$37.4B$38.4B$39.4B$40.4B$41.4B7.2A$42.4B5.B2AB$
43.4B4.3B$44.4B4.B.B$45.4B.5B$46.3B2A3BAB$47.2B2A5BAB$48.6BA3B$49.4BA
4B$49.3B2ABA3B$49.4B2A4B11.2A$49.12B9.A$49.11B2AB4.A3.3A$49.10BA2BAB
3.4A3.A$50.10B2A5B3.B.A.A$52.17B2AB2A$54.2BA12B2A$45.2A7.BABA11B3.2A$
45.2A8.ABA.10B4.A$55.BAB2.9B3.A$56.B4.9B2.2A$61.9B$61.9B$61.2B2A3B.B
2A$59.3BA2BA2B.BA.A$58.2A3BABAB5.A$54.2A.A.AB.2BA4B3.2A$55.A.A.2B6.2A
$54.A2.2AB7.A$55.2A2.B8.3A$57.2A11.A$57.A$58.A$57.2A!

Code: Select all

x = 75, y = 81, rule = LifeHistory
9.A$9.3A$12.A$11.2A$11.4B$13.3B$.4B2.B.3B.4B$.4B.18B$2A5B2A16B$2A5B2A
10BA5B$.B.15B2A5B$3.B2A12BABA2B2A2B$4.2A7B2.8BABA2B$4.8B6.7BA2B$6.7B
7.2BAB2AB$5.10B6.B2A5B$5.13B2.7B2A$6.21B2AB$8.22B.B$8.16B2A5B2A$8.16B
2A5B2A$9.18B.4B$16.4B.3B.B2.4B$17.4B$18.4B$19.4B$20.4B$21.4B$22.4B$
23.4B$24.4B$25.4B$26.B.2A$28.2AB$29.3B$29.4B$30.4B$31.4B$32.4B$33.4B$
34.4B$35.4B$36.4B$37.4B$38.4B$39.4B$40.4B$41.4B7.2A$42.4B5.B2AB$43.4B
4.3B$44.4B4.B.B$45.4B.5B$46.3B2A3BAB$47.2B2A5BAB$48.6BA3B$49.4BA4B$
49.3B2ABA3B$49.4B2A4B11.2A$49.12B9.A$49.11B2AB4.A3.3A$49.10BA2BAB3.4A
3.A$50.10B2A5B3.B.A.A$45.2A5.17B2AB2A$45.A8.2BA12B2A$54.BABA11B3.2A$
55.ABA.10B4.A$55.BAB2.9B3.A$56.B4.9B2.2A$61.9B$61.9B$61.2B2A3B.B2A$
59.3BA2BA2B.BA.A$58.2A3BABAB5.A$54.2A.A.AB.2BA4B3.2A$55.A.A.2B6.2A$
54.A2.2AB7.A$55.2A2.B8.3A$57.2A11.A$57.A$58.A$57.2A!
THIS IS CRAZY:

Code: Select all

x = 75, y = 81, rule = LifeHistory
9.A$9.3A$12.A$11.2A$11.4B$13.3B$.4B2.B.3B.4B$.4B.18B$2A5B2A16B$2A5B2A
10BA5B$.B.15B2A5B$3.B2A12BABA2B2A2B$4.2A7B2.8BABA2B$4.8B6.7BA2B$6.7B
7.2BAB2AB$5.10B6.B2A5B$5.13B2.7B2A$6.21B2AB$8.22B.B$8.16B2A5B2A$8.16B
2A5B2A$9.18B.4B$16.4B.3B.B2.4B$17.4B$18.4B$19.4B$20.4B$21.4B$22.4B$
23.4B$24.4B$25.4B$26.B.2A$28.2AB$29.3B$29.4B$30.4B$31.4B$32.4B$33.4B$
34.4B$35.4B$36.4B$37.4B$38.4B$39.4B$40.4B$41.4B7.2A$42.4B5.B2AB$43.4B
4.3B$44.4B4.B.B$45.4B.5B$34.2A10.3B2A3BAB$34.2A11.2B2A5BAB$48.6BA3B$
49.4BA4B$49.3B2ABA3B$49.4B2A4B11.2A$49.12B9.A$49.11B2AB4.A3.3A$49.10B
A2BAB3.4A3.A$50.10B2A5B3.B.A.A$52.17B2AB2A$54.2BA12B2A$54.BABA11B3.2A
$55.ABA.10B4.A$55.BAB2.9B3.A$56.B4.9B2.2A$61.9B$61.9B$61.2B2A3B.B2A$
59.3BA2BA2B.BA.A$58.2A3BABAB5.A$54.2A.A.AB.2BA4B3.2A$55.A.A.2B6.2A$
54.A2.2AB7.A$55.2A2.B8.3A$57.2A11.A$57.A$58.A$57.2A!
It might be salvageable too.
Another with eater 1:

Code: Select all

x = 75, y = 81, rule = LifeHistory
9.A$9.3A$12.A$11.2A$11.4B$13.3B$.4B2.B.3B.4B$.4B.18B$2A5B2A16B$2A5B2A
10BA5B$.B.15B2A5B$3.B2A12BABA2B2A2B$4.2A7B2.8BABA2B$4.8B6.7BA2B$6.7B
7.2BAB2AB$5.10B6.B2A5B$5.13B2.7B2A$6.21B2AB$8.22B.B$8.16B2A5B2A$8.16B
2A5B2A$9.18B.4B$16.4B.3B.B2.4B$17.4B$18.4B$19.4B$20.4B$21.4B$22.4B$
23.4B$24.4B$25.4B$26.B.2A$28.2AB$29.3B$29.4B$30.4B$31.4B$32.4B$33.4B$
34.4B$35.4B$36.4B$37.4B$38.4B$39.4B$40.4B$41.4B7.2A$42.4B5.B2AB$43.4B
4.3B$44.4B4.B.B$35.2A8.4B.5B$35.2A9.3B2A3BAB$47.2B2A5BAB$48.6BA3B$49.
4BA4B$49.3B2ABA3B$49.4B2A4B11.2A$49.12B9.A$49.11B2AB4.A3.3A$49.10BA2B
AB3.4A3.A$50.10B2A5B3.B.A.A$52.17B2AB2A$54.2BA12B2A$54.BABA11B3.2A$
55.ABA.10B4.A$55.BAB2.9B3.A$56.B4.9B2.2A$61.9B$61.9B$61.2B2A3B.B2A$
59.3BA2BA2B.BA.A$58.2A3BABAB5.A$54.2A.A.AB.2BA4B3.2A$55.A.A.2B6.2A$
54.A2.2AB7.A$55.2A2.B8.3A$57.2A11.A$57.A$58.A$57.2A!
Edit 6:
More:

Code: Select all

x = 75, y = 81, rule = LifeHistory
9.A$9.3A$12.A$11.2A$11.4B$13.3B$.4B2.B.3B.4B$.4B.18B$2A5B2A16B$2A5B2A
10BA5B$.B.15B2A5B$3.B2A12BABA2B2A2B$4.2A7B2.8BABA2B$4.8B6.7BA2B$6.7B
7.2BAB2AB$5.10B6.B2A5B$5.13B2.7B2A$6.21B2AB$8.22B.B$8.16B2A5B2A$8.16B
2A5B2A$9.18B.4B$16.4B.3B.B2.4B$17.4B$18.4B$19.4B$20.4B$21.4B$22.4B$
23.4B$24.4B$25.4B$26.B.2A$28.2AB$29.3B$29.4B$30.4B$31.4B$32.4B$33.4B$
34.4B$35.4B$36.4B$37.4B$38.4B$39.4B$40.4B$41.4B7.2A$42.4B5.B2AB$43.4B
4.3B$44.4B4.B.B$45.4B.5B$46.3B2A3BAB$47.2B2A5BAB$48.6BA3B$49.4BA4B$
49.3B2ABA3B$49.4B2A4B11.2A$49.12B9.A$49.11B2AB4.A3.3A$49.10BA2BAB3.4A
3.A$50.10B2A5B3.B.A.A$52.17B2AB2A$42.2A10.2BA12B2A$42.2A10.BABA11B3.
2A$55.ABA.10B4.A$55.BAB2.9B3.A$56.B4.9B2.2A$61.9B$61.9B$61.2B2A3B.B2A
$59.3BA2BA2B.BA.A$58.2A3BABAB5.A$54.2A.A.AB.2BA4B3.2A$55.A.A.2B6.2A$
54.A2.2AB7.A$55.2A2.B8.3A$57.2A11.A$57.A$58.A$57.2A!

Code: Select all

x = 75, y = 81, rule = LifeHistory
9.A$9.3A$12.A$11.2A$11.4B$13.3B$.4B2.B.3B.4B$.4B.18B$2A5B2A16B$2A5B2A
10BA5B$.B.15B2A5B$3.B2A12BABA2B2A2B$4.2A7B2.8BABA2B$4.8B6.7BA2B$6.7B
7.2BAB2AB$5.10B6.B2A5B$5.13B2.7B2A$6.21B2AB$8.22B.B$8.16B2A5B2A$8.16B
2A5B2A$9.18B.4B$16.4B.3B.B2.4B$17.4B$18.4B$19.4B$20.4B$21.4B$22.4B$
23.4B$24.4B$25.4B$26.B.2A$28.2AB$29.3B$29.4B$30.4B$31.4B$32.4B$33.4B$
34.4B$35.4B$36.4B$37.4B$38.4B$39.4B$40.4B$41.4B7.2A$42.4B5.B2AB$43.4B
4.3B$44.4B4.B.B$45.4B.5B$46.3B2A3BAB$47.2B2A5BAB$48.6BA3B$49.4BA4B$
49.3B2ABA3B$49.4B2A4B11.2A$49.12B9.A$49.11B2AB4.A3.3A$49.10BA2BAB3.4A
3.A$50.10B2A5B3.B.A.A$43.2A7.17B2AB2A$43.2A9.2BA12B2A$54.BABA11B3.2A$
55.ABA.10B4.A$55.BAB2.9B3.A$56.B4.9B2.2A$61.9B$61.9B$61.2B2A3B.B2A$
59.3BA2BA2B.BA.A$58.2A3BABAB5.A$54.2A.A.AB.2BA4B3.2A$55.A.A.2B6.2A$
54.A2.2AB7.A$55.2A2.B8.3A$57.2A11.A$57.A$58.A$57.2A!

Code: Select all

x = 75, y = 81, rule = LifeHistory
9.A$9.3A$12.A$11.2A$11.4B$13.3B$.4B2.B.3B.4B$.4B.18B$2A5B2A16B$2A5B2A
10BA5B$.B.15B2A5B$3.B2A12BABA2B2A2B$4.2A7B2.8BABA2B$4.8B6.7BA2B$6.7B
7.2BAB2AB$5.10B6.B2A5B$5.13B2.7B2A$6.21B2AB$8.22B.B$8.16B2A5B2A$8.16B
2A5B2A$9.18B.4B$16.4B.3B.B2.4B$17.4B$18.4B$19.4B$20.4B$21.4B$22.4B$
23.4B$24.4B$25.4B$26.B.2A$28.2AB$29.3B$29.4B$30.4B$31.4B$32.4B$33.4B$
34.4B$35.4B$36.4B$37.4B$38.4B$39.4B$40.4B$41.4B7.2A$42.4B5.B2AB$43.4B
4.3B$44.4B4.B.B$45.4B.5B$46.3B2A3BAB$47.2B2A5BAB$48.6BA3B$49.4BA4B$
49.3B2ABA3B$49.4B2A4B11.2A$49.12B9.A$32.2A15.11B2AB4.A3.3A$32.2A15.
10BA2BAB3.4A3.A$50.10B2A5B3.B.A.A$52.17B2AB2A$54.2BA12B2A$54.BABA11B
3.2A$55.ABA.10B4.A$55.BAB2.9B3.A$56.B4.9B2.2A$61.9B$61.9B$61.2B2A3B.B
2A$59.3BA2BA2B.BA.A$58.2A3BABAB5.A$54.2A.A.AB.2BA4B3.2A$55.A.A.2B6.2A
$54.A2.2AB7.A$55.2A2.B8.3A$57.2A11.A$57.A$58.A$57.2A!
This might be a duplicate

Code: Select all

x = 75, y = 81, rule = LifeHistory
9.A$9.3A$12.A$11.2A$11.4B$13.3B$.4B2.B.3B.4B$.4B.18B$2A5B2A16B$2A5B2A
10BA5B$.B.15B2A5B$3.B2A12BABA2B2A2B$4.2A7B2.8BABA2B$4.8B6.7BA2B$6.7B
7.2BAB2AB$5.10B6.B2A5B$5.13B2.7B2A$6.21B2AB$8.22B.B$8.16B2A5B2A$8.16B
2A5B2A$9.18B.4B$16.4B.3B.B2.4B$17.4B$18.4B$19.4B$20.4B$21.4B$22.4B$
23.4B$24.4B$25.4B$26.B.2A$28.2AB$29.3B$29.4B$30.4B$31.4B$32.4B$33.4B$
34.4B$35.4B$36.4B$37.4B$38.4B$39.4B$40.4B$41.4B7.2A$42.4B5.B2AB$43.4B
4.3B$44.4B4.B.B$45.4B.5B$46.3B2A3BAB$47.2B2A5BAB$48.6BA3B$49.4BA4B$
31.2A16.3B2ABA3B$31.2A16.4B2A4B11.2A$49.12B9.A$49.11B2AB4.A3.3A$49.
10BA2BAB3.4A3.A$50.10B2A5B3.B.A.A$52.17B2AB2A$54.2BA12B2A$54.BABA11B
3.2A$55.ABA.10B4.A$55.BAB2.9B3.A$56.B4.9B2.2A$61.9B$61.9B$61.2B2A3B.B
2A$59.3BA2BA2B.BA.A$58.2A3BABAB5.A$54.2A.A.AB.2BA4B3.2A$55.A.A.2B6.2A
$54.A2.2AB7.A$55.2A2.B8.3A$57.2A11.A$57.A$58.A$57.2A!

Code: Select all

x = 75, y = 81, rule = LifeHistory
9.A$9.3A$12.A$11.2A$11.4B$13.3B$.4B2.B.3B.4B$.4B.18B$2A5B2A16B$2A5B2A
10BA5B$.B.15B2A5B$3.B2A12BABA2B2A2B$4.2A7B2.8BABA2B$4.8B6.7BA2B$6.7B
7.2BAB2AB$5.10B6.B2A5B$5.13B2.7B2A$6.21B2AB$8.22B.B$8.16B2A5B2A$8.16B
2A5B2A$9.18B.4B$16.4B.3B.B2.4B$17.4B$18.4B$19.4B$20.4B$21.4B$22.4B$
23.4B$24.4B$25.4B$26.B.2A$28.2AB$29.3B$29.4B$30.4B$31.4B$32.4B$33.4B$
34.4B$35.4B$36.4B$37.4B$38.4B$39.4B$40.4B$41.4B7.2A$42.4B5.B2AB$43.4B
4.3B$44.4B4.B.B$45.4B.5B$46.3B2A3BAB$47.2B2A5BAB$48.6BA3B$49.4BA4B$
30.2A17.3B2ABA3B$30.2A17.4B2A4B11.2A$49.12B9.A$49.11B2AB4.A3.3A$49.
10BA2BAB3.4A3.A$50.10B2A5B3.B.A.A$52.17B2AB2A$54.2BA12B2A$54.BABA11B
3.2A$55.ABA.10B4.A$55.BAB2.9B3.A$56.B4.9B2.2A$61.9B$61.9B$61.2B2A3B.B
2A$59.3BA2BA2B.BA.A$58.2A3BABAB5.A$54.2A.A.AB.2BA4B3.2A$55.A.A.2B6.2A
$54.A2.2AB7.A$55.2A2.B8.3A$57.2A11.A$57.A$58.A$57.2A!

Code: Select all

x = 75, y = 81, rule = LifeHistory
9.A$9.3A$12.A$11.2A$11.4B$13.3B$.4B2.B.3B.4B$.4B.18B$2A5B2A16B$2A5B2A
10BA5B$.B.15B2A5B$3.B2A12BABA2B2A2B$4.2A7B2.8BABA2B$4.8B6.7BA2B$6.7B
7.2BAB2AB$5.10B6.B2A5B$5.13B2.7B2A$6.21B2AB$8.22B.B$8.16B2A5B2A$8.16B
2A5B2A$9.18B.4B$16.4B.3B.B2.4B$17.4B$18.4B$19.4B$20.4B$21.4B$22.4B$
23.4B$24.4B$25.4B$26.B.2A$28.2AB$29.3B$29.4B$30.4B$31.4B$32.4B$33.4B$
34.4B$35.4B$36.4B$37.4B$38.4B$39.4B$40.4B$41.4B7.2A$42.4B5.B2AB$43.4B
4.3B$39.2A3.4B4.B.B$39.2A4.4B.5B$46.3B2A3BAB$47.2B2A5BAB$48.6BA3B$49.
4BA4B$49.3B2ABA3B$49.4B2A4B11.2A$49.12B9.A$49.11B2AB4.A3.3A$49.10BA2B
AB3.4A3.A$50.10B2A5B3.B.A.A$52.17B2AB2A$54.2BA12B2A$54.BABA11B3.2A$
55.ABA.10B4.A$55.BAB2.9B3.A$56.B4.9B2.2A$61.9B$61.9B$61.2B2A3B.B2A$
59.3BA2BA2B.BA.A$58.2A3BABAB5.A$54.2A.A.AB.2BA4B3.2A$55.A.A.2B6.2A$
54.A2.2AB7.A$55.2A2.B8.3A$57.2A11.A$57.A$58.A$57.2A!

Code: Select all

x = 75, y = 81, rule = LifeHistory
9.A$9.3A$12.A$11.2A$11.4B$13.3B$.4B2.B.3B.4B$.4B.18B$2A5B2A16B$2A5B2A
10BA5B$.B.15B2A5B$3.B2A12BABA2B2A2B$4.2A7B2.8BABA2B$4.8B6.7BA2B$6.7B
7.2BAB2AB$5.10B6.B2A5B$5.13B2.7B2A$6.21B2AB$8.22B.B$8.16B2A5B2A$8.16B
2A5B2A$9.18B.4B$16.4B.3B.B2.4B$17.4B$18.4B$19.4B$20.4B$21.4B$22.4B$
23.4B$24.4B$25.4B$26.B.2A$28.2AB$29.3B$29.4B$30.4B$31.4B$32.4B$33.4B$
34.4B$35.4B$36.4B$37.4B$38.4B$39.4B$40.4B$41.4B7.2A$42.4B5.B2AB$38.2A
3.4B4.3B$38.2A4.4B4.B.B$45.4B.5B$46.3B2A3BAB$47.2B2A5BAB$48.6BA3B$49.
4BA4B$49.3B2ABA3B$49.4B2A4B11.2A$49.12B9.A$49.11B2AB4.A3.3A$49.10BA2B
AB3.4A3.A$50.10B2A5B3.B.A.A$52.17B2AB2A$54.2BA12B2A$54.BABA11B3.2A$
55.ABA.10B4.A$55.BAB2.9B3.A$56.B4.9B2.2A$61.9B$61.9B$61.2B2A3B.B2A$
59.3BA2BA2B.BA.A$58.2A3BABAB5.A$54.2A.A.AB.2BA4B3.2A$55.A.A.2B6.2A$
54.A2.2AB7.A$55.2A2.B8.3A$57.2A11.A$57.A$58.A$57.2A!

Code: Select all

x = 75, y = 81, rule = LifeHistory
9.A$9.3A$12.A$11.2A$11.4B$13.3B$.4B2.B.3B.4B$.4B.18B$2A5B2A16B$2A5B2A
10BA5B$.B.15B2A5B$3.B2A12BABA2B2A2B$4.2A7B2.8BABA2B$4.8B6.7BA2B$6.7B
7.2BAB2AB$5.10B6.B2A5B$5.13B2.7B2A$6.21B2AB$8.22B.B$8.16B2A5B2A$8.16B
2A5B2A$9.18B.4B$16.4B.3B.B2.4B$17.4B$18.4B$19.4B$20.4B$21.4B$22.4B$
23.4B$24.4B$25.4B$26.B.2A$28.2AB$29.3B$29.4B$30.4B$31.4B$32.4B$33.4B$
34.4B$35.4B$36.4B$37.4B$38.4B$39.4B$40.4B$41.4B7.2A$42.4B5.B2AB$43.4B
4.3B$44.4B4.B.B$45.4B.5B$46.3B2A3BAB$47.2B2A5BAB$48.6BA3B$49.4BA4B$
49.3B2ABA3B$49.4B2A4B11.2A$49.12B9.A$49.11B2AB4.A3.3A$49.10BA2BAB3.4A
3.A$50.10B2A5B3.B.A.A$52.17B2AB2A$41.2A11.2BA12B2A$41.2A11.BABA11B3.
2A$55.ABA.10B4.A$55.BAB2.9B3.A$56.B4.9B2.2A$61.9B$61.9B$61.2B2A3B.B2A
$59.3BA2BA2B.BA.A$58.2A3BABAB5.A$54.2A.A.AB.2BA4B3.2A$55.A.A.2B6.2A$
54.A2.2AB7.A$55.2A2.B8.3A$57.2A11.A$57.A$58.A$57.2A!
I think that's about it
My 93pd ros!t

93=3*31

Code: Select all

x = 7, y = 3, rule = B2cei3ai6c/S12ce4c5ce6c
2o3b2o$bo3bo$2o3b2o!
I'm back! After a long break, I have learned knowledge, and want to use more search programs
[Work in progress]

Code: Select all

x = 4, y = 11, rule = B34q/S23-k
3o$o2bo$2b2o8$b3o!

yoleo
Posts: 108
Joined: October 26th, 2021, 11:48 pm

Re: I'm looking for period multiplicating Herschel Tracks.

Post by yoleo » December 4th, 2023, 12:34 am

Period-tripling H-to-G:

Code: Select all

x = 39, y = 34, rule = LifeHistory
22.A$21.A.A$21.A.A$20.2A.2A$14.2A.2A6.A$14.2A.A.7A$19.A2.A$14.5A6.3A$
13.A11.A2.A$13.A.A.2A8.2A$14.2A.2A2$8.A$8.3A$11.A$10.2A7$9.C$9.C.C$9.
3C23.2E$11.C23.E$25.A10.3E$24.A.A11.E$25.A.A$27.A$2.2A18.2A3.A.2A$3.A
19.A2.2A.2A$3A17.3A$A19.A!
[[ PASTEMODE 3 PASTET EVERY 80 PASTE C$C.C$3C$2.C! 9 22 ]]
Barrister says the catalyst is reduced so it should be close to minimal.

Jormungant
Posts: 579
Joined: May 27th, 2016, 1:01 am

Re: I'm looking for period multiplicating Herschel Tracks.

Post by Jormungant » December 4th, 2023, 12:30 pm

Disaster16439 wrote:
October 6th, 2023, 10:23 pm
YES! STABLE 6X MULTIPLIER
Also it makes a nice edge shooter:

Code: Select all

x = 101, y = 81, rule = LifeHistory
19.A$17.3A$16.A$16.2A$13.5B12.A$12.4B12.3A$11.6B2.B7.A$11.6B.4B5.2A$
9.14B2.4B$8.9B2AB2AB.3B$8.9B2AB2A.5B$6.23B$5.19B2A5B$4.14BA5B2A6B$4.
10B4ABA13B$4.10BA19B$2.2AB.8BA5B2A6B3.4B$.A.AB3.7B8A2B7.4B$.A5.8BA5B
3AB8.3BA$2A4.13BA2B2A10.ABAB$7.12BA3B12.2A2B$7.16B13.4B$8.2B.11B15.4B
$10.10B18.4B$9.10B20.4B$8.9B23.4B$8.9B24.4B$6.2AB.7B25.4B$5.A.AB2.5B
27.4B$5.A6.4B28.4B$4.2A6.4B29.4B$13.4B29.4B$14.4B29.4B22.B$15.3B30.4B
20.3B$16.4B29.4B19.4B$18.2A30.4B19.4B$18.A32.4B19.4B$19.3A30.4B19.4B$
21.A31.4B19.4B$54.4B19.4B$55.4B19.4B$56.4B19.4B$57.4B19.4B$58.4B19.4B
$59.4B19.B3D$60.4B8.2A7.2BD3B$61.4B8.A7.3BD3B$62.4B7.A.AB2.9B$63.4B7.
2AB.11B$64.4B8.3BA9B$65.4B7.2BABA7B$66.4B6.2BABA7B$67.4B5.3BA3B2.B$
68.4B4.6B16.3A$69.4B2.B3A2B17.A$70.4B2.5B18.A$71.4BABABA$72.3B2AB2A
11.2A$72.B2A5B2AB8.A$72.B2A2BA2BA2BA4.A3.3A$72.4BABA2BABAB3.4A3.A$72.
5BA2BA2BA4B3.B.A.A$70.2AB.6B2A8B2AB2A$69.A.AB.3AB2A10B2A$69.A4.2ABABA
10B3.2A$68.2A5.4B.10B4.A$76.3A2.9B3.A$77.B4.9B2.2A$82.9B$82.9B$82.2B
2A3B.B2A$80.3BA2BA2B.BA.A$79.2A3BABAB5.A$75.2A.A.AB.2BA4B3.2A$76.A.A.
2B6.2A$75.A2.2AB7.A$76.2A2.B8.3A$78.2A11.A$78.A$79.A$78.2A!
Just modified a period x6 posted above, now works with the output on a transparent lane:

Code: Select all

x = 133, y = 107, rule = LifeHistory
4$38.4B2.4B$39.4B2.4B$40.4B2.4B$41.4B2.4B$42.4B2.4B$43.4B2.4B$44.4B2.
4B$26.A18.4B2.4B$24.3A19.4B2.4B$23.A23.4B2.4B$23.2A23.4B2.4B$20.5B12.
A11.4B2.4B$19.4B12.3A12.4B2.4B$18.6B2.B7.A16.4B2.4B$18.6B.B2AB5.2A16.
4B2.4B$16.10B3AB2.4B17.4B2.4B$15.13BAB.3B20.4B2.4B$15.14B.5B20.4B2.4B
$13.16BABA4B20.4B2.4B$12.16BA2BA6B19.4B2.4B$11.17BABA8B19.4B2.4B$11.
13BA2B2A11B19.4B2.4B$11.17B2A11B19.4B2.4B$9.2AB.16BA5B3.4B19.4B2.4B$
8.A.AB3.17B7.4B19.4B2.4B$8.A5.18B8.4B19.4B2.4B$7.2A4.18B10.4B19.4B2.
4B$14.16B12.4B19.4B2.4B$14.16B13.3BA19.4B2.4B$15.2B.11B15.3BA19.4B2.
4B$17.10B18.3AB19.4B2.4B$16.10B20.4B19.4B2.4B$15.9B23.4B19.4B2.4B$15.
9B24.4B19.4B2.4B$13.2AB.7B25.4B19.4B2.4B$12.A.AB2.5B27.4B19.4B2.4B$
12.A6.4B28.4B19.4B2.4B$11.2A6.4B29.4B19.4B2.4B$20.4B29.4B19.4B2.4B$
21.4B29.4B19.4B2.4B$22.3B30.4B19.4B2.4B$23.4B29.4B19.4B2.4B$25.2A30.
4B19.4B2.4B$25.A32.4B19.4B2.4B$26.3A30.4B19.4B2.4B$28.A31.4B19.4B2.4B
$61.4B19.4B2.4B$62.4B19.4B2.4B$63.4B19.4B2.4B$64.4B19.4B2.4B$65.4B19.
4B2.4B$66.4B19.4B2.4B$67.4B8.2A7.6B2.4B$68.4B8.A7.7B2.4B$69.4B7.A.AB
2.9B3.4B$70.4B7.2AB.11B3.4B$71.4B8.3BA9B4.4B$72.4B7.2BABA7B6.4B$73.4B
6.2BABA7B7.4B$74.4B5.3BA3B2.B10.4B$75.4B4.6B15.4B$76.4B2.6B17.3B$77.
4B2.5B18.B$78.9B$79.8B10.2A$79.11B6.A.A$79.12B4.A3.2A$79.10B2AB3.4A2.
A$79.10B2A4B3.B.A.A$77.2AB.16B2ABA2.A$76.A.AB.16B2A2.A.A5.3A$76.A4.
16B3.2A.2A4.A$75.2A5.4B.10B13.A$83.3B2.9B$84.B4.9B$89.9B$89.9B$89.2B
2A3B.B2A$87.3BA2BA2B.BA.A$86.2A3BABAB5.A$82.2A.A.AB.2BA4B3.2A$83.A.A.
2B6.2A$82.A2.2AB7.A$83.2A2.B8.3A$85.2A11.A$85.A$86.A$85.2A!

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EvinZL
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Re: I'm looking for period multiplicating Herschel Tracks.

Post by EvinZL » December 4th, 2023, 9:36 pm

yoleo wrote:
December 4th, 2023, 12:34 am
Period-tripling H-to-G:

Code: Select all

x = 39, y = 34, rule = LifeHistory
22.A$21.A.A$21.A.A$20.2A.2A$14.2A.2A6.A$14.2A.A.7A$19.A2.A$14.5A6.3A$
13.A11.A2.A$13.A.A.2A8.2A$14.2A.2A2$8.A$8.3A$11.A$10.2A7$9.C$9.C.C$9.
3C23.2E$11.C23.E$25.A10.3E$24.A.A11.E$25.A.A$27.A$2.2A18.2A3.A.2A$3.A
19.A2.2A.2A$3A17.3A$A19.A!
[[ PASTEMODE 3 PASTET EVERY 80 PASTE C$C.C$3C$2.C! 9 22 ]]
Barrister says the catalyst is reduced so it should be close to minimal.
a few cells smaller

Code: Select all

x = 39, y = 33, rule = LifeHistory
11.2A$12.A11.2A$12.A.AB8.A$13.2AB.2A6.A$15.2B2AB2.4A$15.4B3.A$16.2B6.
B3A$11.2A.A.2AB5.BA2.A$11.A.2A.A.AB4.2B.2A$17.2AB3.3B$17.3B.5B$8.A9.9B
$8.3A7.10B$11.A6.10B$10.2A3.B2.11B$10.15B.4B$12.19B$12.15B.4B$11.16B2.
4B$9.17B4.4B$7.19B5.4B$7.2BC15B7.3B$6.3BCBC4B.7B9.4B$7.2B3C4B2.6B11.2E
$6.5BC4B2.7B10.E$5.10B4.6BA10.3E$4.4B11.5BA.A11.E$4.3B17.BA.A$2.4B16.
4B.A$2.2A18.2A3.A.2A$3.A19.A2.2A.2A$3A17.3A$A19.A!

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