Execution of Old Guns by Variable-Speed Firing Squad

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
User avatar
dvgrn
Moderator
Posts: 10612
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI
Contact:

Re: Execution of Old Guns by Variable-Speed Firing Squad

Post by dvgrn » August 19th, 2021, 8:06 am

Sokwe wrote:
August 18th, 2021, 10:00 pm
The p6 thumb also works...
Nice find! I've updated the Period-14 glider gun article with the resulting de-welded and reduced-population gun:

Code: Select all

x = 161, y = 152, rule = LifeHistory
66.2A$54.2A4.A2.A2.A$27.A27.A2.6A4.A$27.3A10.2A13.A.A6.4A.A4.2A$15.2A
13.A8.A2.A11.2A.B5A2B2.A.A4.A$15.A13.2A8.A.A.A11.A.A.BA.ABABAB.A.A3.
3A72.A.A$17.A11.4B5.2A.A.A11.A.2A.A.B3.AB2A.4A2.A67.2A2.A.2A2.A$16.4A
11.BAB2.BAB.B.A.2A8.2A2.A.A.4A3.2A4.A.A.A.A63.A3.A3.3A$15.A4.A9.BABA.
2B2ABA.A2.A10.A.A.2A4.3A.B.3A.A.2A.3A62.3A.2A$15.5A.A5.2A.B2A2B.BAB.B
2AB.A.2A7.A2.A3.3A2.ABABA3.A7.A63.A.A.2A$13.2A2.2BA.A5.2A7B2.2A.BAB2A
2.A6.2A3.3A2.A3.3A4.A.2A.3A23.2A40.2B2.A$12.A2.A4B.2A5.3BA3B4.A.ABA2.
2A14.A6.BAB5.A.A.A25.A.A2.2B5.2A5.2A21.AB2A$12.2A.A.ABAB.A2B3.3B2A2B
4.A.5A24.B7.AB28.A6B3.B2AB3.B2AB19.BAB2.3A$15.A2.A.3A3B.B.BABA2B5.A4.
A25.3BA2.4B29.5B4.2B5.2B20.3B2A2.A$15.2A.A.B.A2B.10B5.4A14.B2.A7B.5BA
4B4.2A.2A20.6B4.2B3.2B13.A.2A3.4B.A.A$17.A.A.2A3.5B2.4B6.A15.4BA4B2A
2BA4BA2B4.2BA.A20.BA5B3.3A3.3A12.2A2.A.2AB2A.A.2A$17.A.A.A4.4B4.4B7.A
12.2A3BA3B2A2BA5BA3B3.3B.A20.BABA3B.A4BA.A4BA13.2A.A.A3BA2.A$18.A2.A
3.3AB6.4B5.2A12.6BA2B2A3BA3B2A4B.2BAB.A.2A17.BABA3B.5BA.A5B10.3A3.A.A
.B2.2A$13.2A4.2A3.3BA8.4B18.5BA2B2A4BA8B.2B3A.A.A18.3BAB2.A3BABA.ABA
3BA9.A2.4A.5A$7.A.2A.A.A8.3BA10.4B15.A8B.7BA.5B3.A.B.2A.A18.6B2.A2BA.
A.A.A2BA6.A.A.A.A4.AB3.A$7.2A.A.A.A.2A4.4B12.4B13.A.2A2.A3B10.5B4.2A
3.A7.2A3.2A5.3B3A2.B3A.A.A.3AB4.3A.2A.A.3A.A.3A$11.BABA.BA3.4B14.3BA
12.A9.B9.5B6.3A5.B3A.A.A.3AB2.3A3B5.2A3.2A6.A7.A3.2AB2A$11.2A.BA4.2A
2B16.ABAB10.2A7.3BAB7.4B2A5.A7.A2BA.A.A.A2BA2.6B19.3A.2A.A4.3B$12.2AB
2A2.2B2A18.2A2B14.B3.3ABA7.3B2A2B11.A3BABA.ABA3BA2.BA3B21.A.A.A5.3B$
11.B2ABA4BAB4.2A5.2A7.4B12.2AB.A5B7.5BA2B11.5BA.A5B.3BABAB23.BA7.B11.
2A$12.3A2B.4B3.B2AB3.B2AB7.4B11.2A2BA3B2AB6.9B10.A4BA.A4BA.3BABAB6.2A
14.4B2.4B11.A.A$10.3A4.5B4.2B5.2B9.4B11.B.2BA2B2.A6.5B.4B11.3A3.3A3.
5BAB6.A6.2A.2A4.10B.8B2.BA$9.A.AB4.6B4.2B3.2B11.4B14.B4A7.5B2.4B11.2B
3.2B4.6B4.BA.A7.A.2AB4.7B3A4B2A5B$9.A6.7B3.2AB3.B2A11.4B25.5B3.4B9.2B
5.2B4.5B4.B2A8.A.2BA3.8BA6BABA4B$8.2A6.7B.BA2BAB.BA2BAB10.4B12.B4A7.
5B4.4B7.B2AB3.B2AB3.BABA.2A3B7.2A.A.ABAB.9BABA6BA5B$16.3B2A2B.BA3BA.A
3BAB11.4B7.B.2BA2B2.A6.5B5.4B7.2A5.2A4.BA5BA3B7.A.A.3BAB.BAB2A4B2A4B
3A5B$4.BA10.2BABA2.2BA3BA.A3BA2B11.3BA5.2A2BA3B2AB6.5B6.4B18.2B2A2.2B
A2B8.A.2A.B.A3.B2A2B.8B.6B$.BABA.A9.B2A3B2.A2BA.A.A.A2BA13.3BA4.2AB.A
5B7.5B7.3BA16.4B4.2A.2B8.A3.2A4.5B10.4B$.A2BA.A2.AB5.2BA3B2.BABA.A.A.
ABAB14.3AB4.B3.3ABA7.5B8.B2AB14.4B3.AB.ABAB9.3A6.5B9.B$2BA3BA.A.ABAB
2.3BA2B5.BA3.AB18.4B7.3BAB7.ABA2B9.ABAB12.BA2B4.2A.A.A.A.2A7.A5.6B7.
2A3B$.BA3BA.A.A2BA2.3B2AB31.4B8.B4.2A3.3BAB10.4B10.2A2B8.A.A.2A.A12.
7B7.2A3B3.B$.BA2BAB.A3BA2B2.ABA2B32.4B12.A4.3BAB11.4B8.2B2A3.2A4.2A
17.A7B7.BA3BA.3A$3.2AB2.A3BAB.2B2A3B33.4B5.B2.BA.A4.A2BAB5.2A5.4B6.4B
3.A2.A21.B2A6B6.BA3B6A$4.2B2.BA2BAB.7B34.4B3.3B.B2A5.B3AB5.A7.4B4.4B
4.A.A.A19.BABA.5B6.A2.4BA.B$3.2B4.B2A3.7B35.4B.6B7.5B7.A6.4B2.A4B3.2A
.A.A18.4B2.5B7.5A$2.B2AB3.2B4.6B37.10B7.5B6.4A5.4BA5B.BAB.B.A.2A15.4B
3.5B$3.2A5.2B4.5B25.2A11.4B2A3B7.5B5.A4.A5.3B3A.B.2B2ABA.A2.A14.4B4.A
BA2B7.5A$9.B2AB3.6B25.A12.2BABA2B8.5B5.ABABA.A4.7B3.BAB.B2AB.A.2A10.
4B5.3BAB6.A2.4BA.B$10.2A3.5B27.A.AB2.B5.3BABA2B8.5B3.2A2.2BA.A4.7B5.
2A.BAB2A2.A9.4B6.3BAB6.BA3B6A$15.2A6.B24.2AB.3B3.5B2AB9.5B2.A2.2A3B.
2A2.7B2A5.A.ABA2.2A9.4B7.A2BAB7.BA3BA.3A$2.A2.A2.A7.A6.A26.6B.4B2.2AB
9.5B2.2A.A.BABA.BAB.2B2AB.2A5.A.5A10.4B8.B3AB7.2A3B3.B$2.7A2.A.3A5.3A
26.3B2A5B3.3B9.5B5.A2.A.2B3AB.ABAB9.A4.A9.4B9.5B7.2A3B$9.3A.A6.A29.3B
ABA3B6.B2AB6.5B5.2A.A.A.BAB2.BAB11.4A9.2A2B10.5B9.B$4.2ABA12.2A22.B6.
2BA3BA7.4AB5.5B7.A.A.2A5.4B3.2A6.A9.2B2A11.5B$3.A.B.3A7.5B3.2A5.2A9.
2AB5.3BA2BAB5.ABA2BA5.5B7.A.A.A8.2A2.A2.A7.A6.2BAB12.5B$3.A.AB3.A6.3B
4.B2AB3.B2AB8.BAB2AB3.4B2A2B4.2AB.A.AB3.5B8.A2.A8.A3.A2.3A4.2A5.4B13.
5B$2.2A.5A.A4.5B4.2B5.2B12.3A4.2B2.4B4.B3.ABAB2.5B9.2A10.3A6.A9.4B14.
5B$3.A.B3.A.A4.6B4.2B3.2B13.ABAB3.2B3.4B8.B2A2.5B29.2A8.4B15.5B$3.A.B
3A2.2A2.2B3A2B3.A2B3.2BA11.2A.2AB2.B5.4B6.B3A2.5B14.2A.A.3A16.4B16.5B
$2.2A.2A.A.A4.2BA2BAB.2B2A2B.2B2A2B8.B2A2BAB.B2A5.4B4.BABAB2.5B14.A.
3A.A.A14.4B17.5B$4.ABA.A.A4.BA3BAB.2B2ABA.AB2A2B9.2A.3BA2BA6.4B4.2A4.
2BABA22.A13.4B18.5B$4.A.A.A.2A3.B4A2.2BA2B2A.2A2BA2B12.ABABA8.4B9.BA
3B18.4A.2A2.2A6.4B19.5B$.2A.A.2B.A5.2BA3B2.AB2A.A.A.2ABA27.4B8.BA3B
18.A2.B.A.A2.A5.A3B20.5B$.A2.2ABA.A5.6B2.BABA.A.A.ABAB28.3BA7.BA2BA
16.2A2.A2BA.2A6.B2AB21.5B$3.A3.B.2A4.6B5.BA3.AB32.3BA6.B3AB15.A2.2A3B
A.A6.BABA22.5B$4.4AB.BAB2.3BA2B45.3AB5.5B14.A.2A2.AB2A.A5.4B23.5B$8.A
B2A2B2.4AB46.4B4.5B5.2A7.A3.BAB3.A5.4B24.5B$6.2A2.BAB.BA3BAB47.4B3.5B
4.A2.A7.3A.A.3A5.4B25.2BABA$7.A.2A3.BA2BA2B48.4B2.5B4.A.A.A8.5A6.4B
26.BA3B$7.A.A4.2B3A2B49.4B.5B3.2A.A.A9.3B6.4B11.B15.BA3B$4.2A.A.A4.6B
51.13B.A.A.2A7.3B5.4B10.3B2A13.BA2BA$4.A.A.A6.7B2A40B2A14B2A2B2A.A2.A
8.B.B3.4B7.A3.2BA2B13.B3AB$6.A2.3A3.6B4A19B2A17B4A10B4.3B.BABA.A.2A6.
A7B7.A2B.2A2BAB13.5B$6.3A3.A.7B2AB2A16B2AB2A16B2AB2A10B5.2A.AB3A2.A4.
5B2A2B8.A4BA3BAB12.5B$9.A.A.A9B2A17B4A19B2A11BA5.A.BAB2.2A4.B2A4B2A
10.A.A3BA2.A12.5B$8.2A.2A30B2A28B3.ABAB4.A.5A6.B2A3B2AB14.B4A13.5B$
14.2B.3B3.4B43.B6.2A2B4.A4.A4.2AB.3B3A2B31.5B$8.2A.2A5.B5.4B43.B6.3BA
4.4A4.A.AB3.3A4B12.B4A13.5B$9.A.A7.B5.4B16.2A23.3B6.3BA5.A5.A5.ABAB.
2B2A7.A.A3BA2.A12.5B$9.A.A6.2BA5.4B14.A.A23.3B7.3AB6.A2.2A5.2A2.2B2A
2B5.A4BA3BAB12.5B$10.A5.2B2A.A5.4B13.A24.5A7.4B4.2A14.3BA2B4.A2B.2A2B
AB13.5B$15.2AB2ABA6.4B6.2A2.2A.4A18.3A.A.3A6.4B18.B3.4B4.A3.2BA2B13.
5B$15.2AB2A2.2A5.B3A5.A2.A.A.A2.A17.A3.BAB3.A6.4B16.3B3.4B7.3B2A13.5B
$20.A.A7.A3B6.2A.3BA2.2A15.A.2A2.AB2A.A6.4B15.3B4.2B2A8.B11.2A2.5B$
15.6A.A8.A3B6.A.2A2B2A2.A15.A2.2A3BA.A7.3BA13.2AB2A4.BABA3.4B11.A.A2.
5B$15.A5.A10.4B5.A.AB2A2.2A.A15.2A2.A2BA.2A7.3BA10.3A.A.3A3.A8BA.8B2.
BA3.5B$18.3A12.4B5.A3.2BA3.A17.A2.B.A.A2.A6.3AB4.2A2.A3.BAB3.A3.7B2A
5B2A5B4.5B$18.A15.4B5.3A.A.3A18.4A.2A2.2A7.4B3.A2.A.AB2A2.2A.A4.5B2AB
A4BABA4B4.5B$35.4B6.ABABA24.A14.3BA4.2A.A3B2A2.A6.5BABA4BAB2A4B3.ABA
2B$24.B11.4B6.3B23.A.A4.2A9.ABAB4.A.AB2A2.2A3.2A2.B.4B2A5B2A5B3.3BAB$
22.B3AB10.4B5.3A16.2A5.2A3.3A2.A8.2A2B3.A.A.B2.A5.AB.3B2.8B.A5B4.3BAB
$22.B4A3.B7.4B3.B.B16.A2.A8.A4.2A4.2A3.4B3.2A.4A7.BA2B11.4B6.A2BAB$
22.AB2ABA.B2A7.2B2A4B16.A.A.A8.2A9.2A4.4B4.A7.5AB2A10.B10.B3AB$21.BA
3B2A2B2A8.BABA3B2A14.A.A.2A5.4B16.4B3.A.A5.A2.A.2AB8.2A3B8.5B$21.A2.B
2A2B.B10.A4BA3B11.2A.A.B.A2B2.BAB11.4A4.4B3.2A6.2A7B6.2BA2B3.A4.5B$
22.4AB14.5B2A2B11.A2.A.2A4B.ABAB9.A4.A4.3BA12.AB.B.2A6.BA2B2A.2BA3.5B
$40.8B.B2A6.2A.A.ABAB.A2B.2B2AB.2A5.A.5A5.ABAB9.2A5.A6.BA3BA4BA3.5B$
22.4AB12.A6B3.BA.A5.A2.ABABA.2A2.7B2A5.A.BAB2.2A4.2A2B8.A7.3A3.A2.A3B
A.A4.5B$21.A2.B2A2B.B7.A2BA.2B2A5.A6.2A2.3B.A4.7B5.2A.AB3A2.A4.3BA8.A
8.A4.4AB8.5B$21.BA3B2A2B2A5.3B2AB2.2A5.2A7.5A.A4.7B3.3B.BABA.A.2A5.3B
A6.2A26.5B$22.AB2ABA.B2A4.6B19.A4.A5.A5B.B.2A2B2A.A2.A9.3AB20.4AB8.5B
$22.B4A3.B4.4B3.B19.4A5.BABA3B2AB.3B.A.A.2A10.4B18.A2.A3BA.A4.5B$22.B
3AB7.A3B3.BAB19.A6.2B2A2.3BAB3.2A.A.A13.4B17.BA3BA4BA3.5B$11.2A11.B8.
B2AB4.3A17.A7.4B4.4B4.A.A.A14.4B17.BA2B2A.2BA3.5B$11.A.A11.4B3.BABA4.
ABABA16.2A5.4B6.4B3.A2.A16.4B16.2BA2B3.A4.5B$12.AB2.2B2A4B.2A8B3.3A.B
.3A20.4B8.4B3.2A4.2A12.3BA15.2A3B8.5B$13.3B5A3BA2B2A5B3.A3.ABA3.A18.
4B10.3BA8.A.A.2A.A7.3BA16.B10.5B$13.2BA4BA2B3A2BA4B4.A.2A2.2B2A.A16.
4B12.B2AB4.2A.A.A.A.2A8.3AB26.5B$12.3BA2B3A2BA4BA9.A2.3A3B.A15.4B14.A
BAB3.AB.A2BA13.4B25.5B$12.3B2A2BA3B5A2B.B2.2A3.2A2.3BA.2A13.4B16.4B4.
2A.2B14.3BA24.2BABA$13.4B2A.4B2A2B2.B2A.BA5.A2.A.B.A2.A10.A3B18.4B2.
2B2AB16.ABAB23.BA3B$15.4B11.B3A7.4A.2A2.2A9.A3B7.2A5.2A4.7BA3B16.2A2B
22.BA3B$19.B10.A3B4A7.A14.B3A7.B2AB3.B2AB3.4B.BA3B18.4B21.BA2BA$17.B
3AB8.3B.B2.A5.A.A13.4B9.2B5.2B4.B3AB4.B2A17.4B20.B3AB$13.B3.4AB6.A5B
3A6.2A13.4B11.AB3.BA4.BA2BAB4.BA.A17.4B19.5B$12.2AB.AB2ABA6.AB.A.AB
22.4B11.B2A3.2AB3.BA3BAB6.A18.4B18.5B$12.2A2B2A3BAB6.A5.2A19.4B10.3BA
BA.ABA3B.2A2BA2B6.2A18.3BA17.5B$13.B.2B2AB2.A3.3A7.A18.4B11.5BA.A5B.A
BA4B27.ABAB16.5B$17.B4A4.A8.A18.4B11.6BA.A6B2.B2A2B28.2A2B15.5B$35.2A
16.4B13.2ABA.A.A.AB2A2.2B3AB29.3BA14.5B$17.B4A30.4B14.BA2B.A.A.2BAB2.
BAB2AB5.2A3.2A18.3BA13.5B$13.B.2B2AB2.A28.A3B18.2A3.2A5.B2ABAB2.BA2B.
A.A.2BAB16.3AB12.5B$12.2A2B2A3BAB11.A15.BABA31.B3A2B2.2ABA.A.A.AB2A
17.4B11.5B$12.2AB.AB2ABA12.3A12.2B2A32.2B2AB2.6BA.A6B17.4B10.5B$13.B
3.4AB9.A5.A10.4B33.4BABA.5BA.A5B19.4B9.5B$17.B3AB9.6A.A8.4B34.2BA2B2A
.3BABA.ABA3B20.4B8.5B9.2A$19.B16.A.A7.4B35.BA3BAB3.B2A3.2AB23.3BA7.5B
10.A$31.2AB2A2.2A5.4B37.BA2BAB4.AB3.BA25.3BA6.5B8.A$31.2AB2ABA6.4B38.
B3AB4.2B5.2B25.3AB5.5B6.4A$26.A5.2B2A.A5.4B37.A6B3.B2AB3.B2AB25.4B4.
5B5.A4.A$25.A.A6.2BA5.4B37.A.A2.2B5.2A5.2A27.3BA3.ABA2B4.A.5A$25.A.A
7.B5.A3B38.2A47.ABAB2.3BAB4.A.A2B2.2A$24.2A.2A5.B5.A3B89.2A2B.5B3.2A.
4BA2.A$30.2B.3B3.B3A91.4BA3BA3BA.BABA.A.2A$24.2A.2A42B2A40B2A24B2ABA
3B3A.A2.A$25.A.A.A21B2A17B4A19B2A17B4A19B2A3B4.2BA.B.A.2A$19.2A.3A3.A
.19B2AB2A16B2AB2A16B2AB2A16B2AB2A18B3A3B5.2A.A.A$20.A.A2.3A3.18B4A19B
2A17B4A19B2A20BA4BA5.A.A.A$19.A2.A.A6.2BA16B2A40B2A41BA3.ABAB4.A2.A$
19.A.A.A.A4.2B3AB97.B6.2A2B4.2A$20.2A.A.A4.B2A2BAB97.B6.3BA$11.2A10.A
.2A3.BA3BAB96.BAB6.3BA$11.A.A6.4A2.3B.BABA3B96.3A7.3AB$13.A5.AB3.2A2B
2A2.5B95.ABABA7.4B$13.2A2.A4B2AB.3B2.B2AB2A93.3A.B.3A6.3BA$11.2A2.BA
4BA.B.2A4.3BA2B5.2A3.2A80.A3.ABA3.A6.ABAB$10.A2.2ABA3BA2BA.A5.2BA3B2.
B3A.A.A.3AB76.A.2A2B2.2A.A7.2A2B$11.A.A2.A.B2.A.B.A5.2AB2AB2.A2BA.A.A
.A2BA76.A.3B3A2.A9.3BA$10.2A2.A.A.4A.2A6.5B2.A3BABA.ABA3BA74.2A.A3B2.
2A11.3BA$12.A.2A.A4.A8.3BABAB.5BA.A5B73.A2.A.B.A2.A14.3AB$12.A4.A.2A.
A8.BA3BAB.A4BA.A4BA73.2A2.2A.4A15.4B$11.2A4.2A.2A9.BA2B2AB3.3A3.3A81.
A20.3BA$32.B3A2B4.2B3.2B82.A.A19.ABAB$32.2BA2B4.2B5.2B82.2A20.2A2B$
30.A6B3.B2AB3.B2AB104.3BA$29.A.A2.2B5.2A5.2A106.3BA$29.2A126.3A!
Not sure yet if anything can now be re-welded a little smaller --

User avatar
calcyman
Moderator
Posts: 2932
Joined: June 1st, 2009, 4:32 pm

Re: Execution of Old Guns by Variable-Speed Firing Squad

Post by calcyman » August 19th, 2021, 8:59 am

dvgrn wrote:
August 19th, 2021, 8:06 am
Sokwe wrote:
August 18th, 2021, 10:00 pm
The p6 thumb also works...
Nice find! I've updated the Period-14 glider gun article with the resulting de-welded and reduced-population gun:

Not sure yet if anything can now be re-welded a little smaller --
Yes, it's possible to shave an extra row and column off of the bounding box (24160). We're clearly in the land of heavily diminishing returns now.

Code: Select all

x = 160, y = 151, rule = LifeHistory
66.2A$54.2A4.A2.A2.A$27.A27.A2.6A4.A$27.3A10.2A13.A.A6.4A.A4.2A$15.2A
13.A8.A2.A11.2A.BAB3A2B2.A.A4.A74.A.A$15.A13.2A8.A.A.A11.A.A.2A.2A2B
2A.A.A3.3A66.2A2.A.2A2.A$17.A11.4B5.2A.A.A11.A.2A.B.A3.AB2A.4A2.A66.A
3.A3.3A$16.4A11.BAB2.BAB.B.A.2A8.2A2.A.A.4A3.BA4.A.A.A.A63.3A.2A$15.A
4.A9.BABA.2B2ABA.A2.A10.A.A.2A4.3A.B.3A.A.2A.3A63.A.A.2A$15.5A.A5.2A.
B2A2B.BAB.B2AB.A.2A7.A2.A3.3A2.2AB2A3.A7.A63.2B2.A$13.2A2.2BA.A5.2A7B
2.2A.BAB2A2.A6.2A3.3A2.A3.3B4.A.2A.3A23.2A39.AB2A$12.A2.A4B.2A5.7B4.A
.ABA2.2A14.A6.3B5.A.A.A25.A.A2.2B5.2A5.2A19.BAB2.3A$12.2A.A.ABAB.A2B
3.7B4.A.5A24.B7.AB28.A6B3.A2BA3.A2BA18.3B2A2.A$15.A2.A.3A3B.B.6B5.A4.
A25.4B2.4B29.5B4.2B5.2B11.A.2A3.4B.A.A$15.2A.A.B.A2B.10B5.4A14.B2.BA
6B.6BA3B4.2A.2A20.6B4.BA3.AB12.2A2.A.2AB2A.A.2A$17.A.A.2A3.5B2.4B6.A
15.4BA3B2A2BA5B2AB4.2BA.A20.BA5B3.A2B3.2BA14.2A.A.A3BA2.A$17.A.A.A4.
2A2B4.3BA7.A12.4BA2BAB3ABA7BAB3.3B.A20.A2BA3B.2B2A2B.2B2A2B9.3A3.A.A.
B2.2A$18.A2.A3.2B2A6.3BA5.2A12.6BAB3ABA2BA3B2A3B.2BAB.A.2A17.4BA2B.5B
A.A5B9.A2.4A.5A$13.2A4.2A3.2BAB8.3AB18.6BA2B2A3BA4BA3B.2B3A.A.A18.4BA
2.2BA2B2A.2A2BA2B4.A.A.A.A4.AB3.A$7.A.2A.A.A8.4B10.4B15.2A7B.6BAB.5B
3.A.B.2A.A18.B3A2B2.ABAB.A.A.BABA3.3A.2A.A.3A.A.3A$7.2A.A.A.A.2A4.4B
12.4B13.A.AB2.4B10.5B4.2A3.A7.BA3.AB5.6B2.A2BA.A.A.A2BA2.A7.A3.2AB2A$
11.A2BA.BA3.2A2B14.4B12.A9.B9.5B6.3A5.A2BA.A.A.A2BA2.6B5.BA3.AB6.3A.
2A.A4.3B$11.2B.2A4.ABAB16.4B10.2A7.3BAB7.6B5.A7.ABAB.A.A.BABA2.2B3AB
20.A.A.A5.3B$12.B2A2B2.3BA18.4B14.B3.3B2A7.7B11.2BA2B2A.2A2BA2B2.A4B
22.BA7.B11.2A$11.3BA7B4.2A5.2A7.4B12.2AB.6B7.8B11.5BA.A5B.2BA4B21.4B
2.2B2A11.A.A$12.3BAB.4B3.B2AB3.B2AB7.4B11.2AB3A2BABA6.2BABA4B10.2B2A
2B.2B2A2B.3BA2BA6.2A4.2A.2A4.6B2A2B.2BA5B2.BA$10.2AB4.5B4.2B5.2B9.4B
11.B.BA3B2.A6.BA3B.3BA11.A2B3.2BA3.5BAB6.A6.A.A2B4.4BAB6A2BA2B2A2B$9.
A.AB4.6B4.AB3.BA11.3BA14.5A7.BA3B2.B2AB11.BA3.AB4.6B4.BA.A6.A.3B3.4B
2A10BAB3AB$9.A6.7B3.B2A3.2AB11.ABAB25.BA2BA3.ABAB9.2B5.2B4.5B4.B2A4.
2A.A.BA2B.6B3ABA10B2AB$8.2A6.3BA3B.3BABA.ABA3B10.2A2B12.5A7.B3AB4.4B
7.A2BA3.A2BA3.4B.2BA2B7.A.A.3A2B.6B2A2BA2B6ABA2B$16.2B3A2B.5BA.A5B11.
4B7.B.BA3B2.A6.5B5.4B7.2A5.2A4.ABA4B2A2B6.A.2A.B.A3.5B.5BA2B.2B2A2B$
4.2A10.B2ABA2.6BA.A6B11.4B5.2AB3A2BABA6.5B6.4B18.B2AB2.BABAB8.A3.2A4.
5B10.2A2B$.BA2B.A9.6B2.2ABA.A.A.AB2A13.4B4.2AB.6B7.5B7.4B16.3BA4.BA.
2B8.3A6.5B9.B$.2ABA.A2.2A5.6B2.BA2B.A.A.2BAB14.4B4.B3.3B2A7.5B8.4B14.
4B3.AB.2ABA10.A5.3BABA7.2A3B$6BA.A.2BAB2.6B5.2A3.2A18.4B7.3BAB7.5B9.
4B12.4B4.2A.A.A.A.2A11.3BA3B7.2A3B3.B$.5BA.A.AB2A2.6B31.4B8.B4.2A3.5B
10.4B10.A3B8.A.A.2A.A10.4BA3B7.BA3BA.3A$.3BABA.A6B2.AB2AB32.4B12.A4.
5B11.4B8.BABA3.2A4.2A15.5BA2BA6.BA3B6A$3.B2A2.A5B.2B3A2B33.3BA5.B2.BA
.A4.5B5.2A5.2B2A6.2B2A3.A2.A19.4B.B3AB6.A2.4BA.B$4.AB2.ABA3B.3BA3B34.
3BA3.3B.B2A5.5B5.A7.2A2B4.4B4.A.A.A17.4B2.5B7.5A$3.2B4.2AB3.7B35.3AB.
6B7.5B7.A6.BA2B2.5B3.2A.A.A16.2A2B3.5B$2.B2AB3.BA4.6B37.10B7.5B6.4A5.
10B.BAB.B.A.2A13.2B2A4.5B7.5A$3.2A5.2B4.5B25.2A11.5B2A2B7.5B5.A4.A5.
6B.B.2B2ABA.A2.A12.2BAB5.5B6.A2.4BA.B$9.B2AB3.6B25.A12.3BA2BA8.5B5.AB
ABA.A4.7B3.BAB.B2AB.A.2A8.4B6.5B6.BA3B6A$10.2A3.5B27.A.AB2.B5.4BABAB
8.5B3.2A2.2BA.A4.7B5.2A.BAB2A2.A7.4B7.5B7.BA3BA.3A$15.2A6.B24.2AB.3B
3.6BAB9.5B2.A2.2A3B.2A2.7B2A5.A.ABA2.2A7.4B8.5B7.2A3B3.B$2.A2.A2.A7.A
6.A26.6B.4B2.3B9.5B2.2A.A.BABA.BAB.2B2AB.2A5.A.5A8.4B9.5B7.2A3B$2.7A
2.A.3A5.3A26.6BABAB3.3B9.ABA2B5.A2.A.2B3AB.ABAB9.A4.A7.4B10.5B9.B$9.
3A.A6.A29.2B2AB3AB6.B2AB6.3BAB5.2A.A.A.BAB2.BAB11.4A7.4B11.5B$4.2ABA
12.2A22.B6.A2B2ABA7.4AB5.3BAB7.A.A.2A5.4B11.A7.4B12.5B$3.A.B.3A7.5B3.
2A5.2A9.2AB5.BABA4B5.ABA2BA5.A2BAB7.A.A.A8.2A2.2A9.A4.A3B13.5B$3.A.AB
3.A6.3B4.B2AB3.B2AB8.BAB2AB3.BA6B4.2AB.A.AB3.B3AB8.A2.A8.A3.A.A7.2A3.
B2AB14.5B$2.2A.BAB2A.A4.2BA2B4.2B5.2B12.3A4.2B2.4B4.B3.ABAB2.5B9.2A3.
2A5.3A2.A11.BABA15.5B$3.A.A3.A.A4.B3A2B4.2B3.2B13.ABAB3.2B3.4B8.B2A2.
5B14.A.A.3A5.2A9.4B16.5B$3.A.2ABA2.2A2.BA2B2AB3.3A3.3A11.2A.2AB2.B5.
4B6.B3A2.5B17.2A2.A14.4B17.5B$2.2A.2B.A.A4.BA3BAB.A4BA.A4BA8.B2A2BAB.
B2A5.3BA4.BABAB2.5B21.A13.4B18.ABA2B$4.ABA.A.A4.3BABAB.5BA.A5B9.2A.3B
A2BA6.ABAB4.2A4.5B17.4A.2A10.4B19.3BAB$4.A.A.A.2A3.5B2.A3BABA.ABA3BA
12.ABABA8.2A2B9.5B17.A2.A.A.A.2A5.4B20.3BAB$.2A.A.2B.A5.2AB2AB2.A2BA.
A.A.A2BA27.4B8.5B5.2A8.2A2.2ABA.A.2A4.4B21.A2BAB$.A2.2ABA.A5.2BA3B2.B
3A.A.A.3AB28.4B7.5B5.A8.A2.2A2B2A.A6.4B22.B3AB$3.A3.A.2A4.3BA2B5.2A3.
2A32.4B6.5B7.A5.A.2A2.2ABA.A5.4B23.5B$4.4AB.3B2.B2AB2A45.4B5.5B6.4A3.
A3.2AB3.A5.2A2B24.5B$8.2A2B2A2.5B46.4B4.5B5.A4.A3.3A.A.3A5.2B2A25.5B$
6.2A2.3B.BABA3B47.4B3.5B4.A.5A5.A3BA6.2BAB26.5B$7.A.2A3.BA3BAB48.4B2.
5B4.A.BAB2.2A4.3B6.4B11.B15.5B$7.A.A4.B2A2BAB49.3BA.5B3.2A.AB3A2.A3.B
AB5.4B10.3B2A13.5B$4.2A.A.A4.2B3AB51.3BA9B.BABA.A.2A4.A.B3.4B7.A3.2BA
2B13.5B$4.A.A.A6.2BA16B2A36B3A5B2A2B2A.A2.A8.8B7.A2B.2A2BAB13.5B$6.A
2.3A3.18B4A19B2A19B4.3B.A.A.2A6.BA7B8.A4BA3BAB12.5B$6.3A3.A.19B2AB2A
16B2AB2A18BA5.2A.A.A7.BABA5B10.A.A3BA2.A12.5B$9.A.A.A21B2A17B4A17BABA
B5.A.A.A7.2B2A5B14.B4A13.5B$8.2A.2A42B2A16B3.2A2B4.A2.A6.2AB.6B2A31.
5B$14.2B.3B3.B3A43.B6.4B4.2A6.A.AB3.4BABA12.B4A13.5B$8.2A.2A5.B5.A3B
42.2B6.4B11.A5.2A2B.A3B7.A.A3BA2.A12.5B$9.A.A7.B5.A3B16.2A23.3B6.4B9.
2A5.2A2.6B5.A4BA3BAB12.5B$9.A.A6.2BA5.4B14.A.A23.3B7.4B20.6B4.A2B.2A
2BAB13.5B$10.A5.2B2A.A5.4B13.A24.5A7.3BA18.B3.3BA4.A3.2BA2B13.2BABA$
15.2AB2ABA6.4B6.2A2.2A.4A18.3A.A.3A6.ABAB16.3A3.B2AB7.3B2A13.BA3B$15.
2AB2A2.2A5.4B5.A2.A.A.A2.A17.A3.BAB3.A6.2A2B15.3B4.ABAB8.B11.2A2.BA3B
$20.A.A7.4B6.2A.3BA2.2A14.A.2ABA2.2A.A7.3BA13.ABABA4.4B3.B2AB11.A.A2.
BA2BA$15.6A.A8.4B6.A.2A2B2A2.A13.A.A3B2A2.A9.3BA10.3A.A.3A3.6BA3B.2A
6B2.BA3.B3AB$15.A5.A10.4B5.A.AB2A2.2A.A9.2A.A.A2BA2.2A11.3AB4.2A2.A3.
2BA3.A3.3B2AB6A4B2ABAB4.5B$18.3A12.2B2A5.A3.2BA3.A9.2A.A.A.B2.A14.4B
3.A2.A.AB2A2.2A.A4.2BA6BA5B2A2BA4.5B$18.A15.BABA5.3A.A.3A14.2A.4A15.
4B4.2A.2A2B2A2.A6.BA2B2A5BA6BAB3.5B$35.A3B6.ABABA18.A9.A10.4B4.A.3BA
2.2A3.2A2.B.AB2A4B6AB2AB3.5B$24.B11.4B6.3B15.3A.A.A5.3A11.4B3.A.A.A2.
A5.AB.3B2.6B2A.3BA2B4.5B$22.2A3B10.4B5.3A14.A2.A2.2A4.A10.2A3.3BA3.2A
.4A7.BA2B11.B2AB6.5B$22.2A3B3.B7.4B3.B.B14.A.A.A8.2A9.2A4.3BA4.A7.5AB
2A10.B10.5B$22.BA3BA.3A7.8B15.A.A.2A5.4B16.3AB3.A.A5.A2.A.2AB8.2A3B8.
5B$21.BA3B6A8.7BAB11.2A.A.A.2BA2.BAB11.4A4.4B3.2A6.2A7B6.2BA2B3.A4.5B
$21.A2.4BA.B10.5BABAB10.A2.A.B2ABAB.ABAB9.A4.A4.3BA12.AB.B.2A6.BA2B2A
.2BA3.5B$22.5A14.5B2A2B7.2A.A.ABAB.2BA.2B2AB.2A5.A.ABABA5.ABAB9.2A5.A
6.BA3BA4BA3.5B$40.A7B.B2A5.A2.2A2BA.2A2.7B2A5.A.A2B2.2A4.2A2B8.A7.3A
3.A2.A3BA.A4.5B$22.5A12.B2A4B3.BA.A5.2A2.BAB.A4.7B5.2A.3B2A2.A4.4B8.A
8.A4.4AB8.5B$21.A2.4BA.B7.BABA.2B2A5.A7.2AB2A.A4.4BA2B3.BAB.ABAB.A.2A
5.4B6.2A26.5B$21.BA3B6A5.6B2.2A5.2A6.A4.A5.3B2AB.B.B3A2B.A2.A9.4B20.
4AB8.5B$22.BA3BA.3A4.6B19.4A5.4BABA3B.BAB.A.A.2A10.4B18.A2.A3BA.A4.5B
$22.2A3B3.B4.4B3.B19.A6.4B2.5B3.2A.A.A13.3BA17.BA3BA4BA3.ABA2B$22.2A
3B7.3AB3.BAB16.A7.4B4.4B4.A.A.A14.ABAB17.BA2B2A.2BA3.3BAB$11.2A11.B8.
3BA4.3A16.2A5.4B6.4B3.A2.A16.2A2B16.2BA2B3.A4.3BAB$11.A.A11.2A2B3.3BA
4.ABABA21.4B8.B3A3.2A4.2A12.3BA15.2A3B8.A2BAB$12.AB2.5BA2B.2B2A6B3.3A
.B.3A18.4B10.A3B8.A.A.2A.A7.3BA16.B10.B3AB$13.2B2A2BA2B6ABA4B3.A3.ABA
3.A16.A3B12.A3B4.2A.A.A.A.2A8.3AB26.5B$13.B3ABA10B2A2B4.A.2A2.2B2A.A.
2A11.BABA14.4B3.AB.A2BA13.4B25.5B$12.B2A10BAB3A2B6.A2.3A3B.A.2A10.2B
2A16.4B4.2A.2B14.4B24.5B$12.2BAB6A2BA2B2AB.B2.2A3.2A2.3BA.A12.4B18.2B
2A2.2B2AB16.4B23.5B$13.2B2A2B.2BA5B2.3B.BA5.A2.A.B.A11.4B7.2A5.2A4.2A
5BA3B16.4B22.5B$15.2B2A11.BABA7.4A.2A11.4B7.B2AB3.B2AB3.2BAB.BA3B18.
3BA21.5B$19.B10.BA2B4A7.A12.4B9.2B5.2B4.5B4.B2A17.3BA20.5B$17.3B2A8.B
2A.B2.A5.A.A11.4B11.AB3.BA4.6B4.BA.A17.3AB19.5B$13.B3.3B2A6.7B2A6.2A
11.4B11.B2A3.2AB3.4BA2B6.A18.4B18.5B$12.3A.A3BAB6.2A.B.BA20.4B10.3BAB
A.ABA3B.5B2A6.2A18.3BA17.5B$12.6A3BAB6.A5.2A17.A3B11.5BA.A5B.2B2A3B
27.ABAB16.5B$13.B.A4B2.A3.3A7.A16.A3B11.6BA.A6B2.2BA2B28.2A2B15.5B$
17.5A4.A8.A16.B3A13.2ABA.A.A.AB2A2.2BA3B29.4B14.5B$35.2A14.4B14.BA2B.
A.A.2BAB2.B4AB5.2A3.2A18.4B13.5B$17.5A28.4B18.2A3.2A5.B4AB2.BA2B.A.A.
2BAB16.4B12.5B$13.B.A4B2.A10.A15.4B31.3BA2B2.2ABA.A.A.AB2A17.4B11.5B$
12.6A3BAB10.3A12.4B32.2BA2B2.6BA.A6B17.3BA10.2BABA$12.3A.A3BAB8.A5.A
10.4B33.3B2A2B.5BA.A5B19.ABAB9.BA3B$13.B3.3B2A8.6A.A8.4B34.2A5B.3BABA
.ABA3B20.2A2B8.BA3B9.2A$17.3B2A13.A.A7.4B35.2BA4B3.B2A3.2AB23.3BA7.BA
2BA10.A$19.B10.2A2BA2.2A5.4B37.6B4.AB3.BA25.3BA6.B3AB8.A$30.ABA2B2A6.
A3B38.5B4.2B5.2B25.3AB5.5B6.4A$25.A5.3BA.A5.BABA37.A6B3.B2AB3.B2AB25.
4B4.5B5.A4.A$24.A.A6.2BA5.2B2A37.A.A2.2B5.2A5.2A27.4B3.5B4.A.5A$24.A.
A7.B5.4B38.2A47.4B2.5B4.A.BAB2.2A$23.2A.2A5.B5.4B89.4B.5B3.2A.AB3A2.A
$29.2B.3B3.4B91.3BA9B.BABA.A.2A$23.2A.2A14B2A40B2A40B2A9BA4B2A2B2A.A
2.A$24.A.A.A2B3A7B4A19B2A17B4A19B2A17B4A6B3AB4.3B.A.A.2A$18.2A.3A3.A.
2BABA7B2AB2A16B2AB2A16B2AB2A16B2AB2A16B2AB2A10B5.2A.A.A$19.A.A2.3A3.B
ABA9B2A17B4A19B2A17B4A19B2A11BA5.A.A.A$18.A2.A.A6.33B2A40B2A28B3.ABAB
4.A2.A$18.A.A.A.A4.6B97.B6.2A2B4.2A$19.2A.A.A4.5BAB97.B6.3BA$10.2A10.
A.2A3.3BABAB96.3B6.3BA$10.A.A6.4A2.3B.3BABAB96.3B7.3AB$12.A5.AB3.2A2B
2A2.BA3B95.5A7.4B$12.2A2.A4B2AB.3B2.6B93.3A.A.3A6.3BA$10.2A2.BA4BA.B.
2A4.3A3B5.2A3.2A80.A3.BAB3.A6.ABAB$9.A2.2ABA3BA2BA.A5.3B3A2.B3A.A.A.
3AB76.A.2ABA2.2A.A7.2A2B$10.A.A2.A.B2.A.B.A5.6B2.A2BA.A.A.A2BA76.A.A
3B2A2.A9.3BA$9.2A2.A.A.4A.2A6.3BAB2.A3BABA.ABA3BA74.2A.A2BA2.2A11.3BA
$11.A.2A.A4.A8.BABA3B.5BA.A5B73.A2.A.A.B2.A14.3AB$11.A4.A.2A.A8.BABA
3B.A4BA.A4BA73.2A2.2A.4A15.4B$10.2A4.2A.2A9.BA5B3.3A3.3A81.A20.3BA$
31.6B4.2B3.2B82.A.A19.ABAB$31.5B4.2B5.2B82.2A20.2A2B$29.A6B3.B2AB3.B
2AB104.3BA$28.A.A2.2B5.2A5.2A106.3BA$28.2A126.3AB!
What do you do with ill crystallographers? Take them to the mono-clinic!

hotdogPi
Posts: 1587
Joined: August 12th, 2020, 8:22 pm

Re: Execution of Old Guns by Variable-Speed Firing Squad

Post by hotdogPi » August 19th, 2021, 9:31 am

2415 (690 × 3.5) was ridiculously large (37366). I cut it down to 29568 simply by using what 4830 (=2415×2) already had, which will make it the 15th largest instead of the 3rd largest.

EDIT: 3105 (690 × 4.5): 36570 → 17214
EDIT 2: 5428 (46 × 118): 36584 → 19176; 2714 (½ of 5428) and 4071 (¾ of 5428) (had nothing before)
5612 (46 × 122): 36180 → 17955; 8418 (3/2 of 5612) added
4092 and 8184 (44 × 93 and 44 × 93 × 2): 35464 → 17750

And several others.

For reference, this is what the top of the list said before I reduced anything:

Code: Select all

"gun_17","39990"
"gun_2212","38642"
"gun_2415","37366"
"gun_1419","37148"
"gun_5428","36584"
"gun_3105","36570"
"gun_5612","36180"
"gun_4092","35464"
"gun_8184","35464"
"gun_19","34953"
"gun_6776","34408"
"gun_6688","34398"
"gun_1804","31920"
"gun_5888","30523"
"gun_5808","28500"
"gun_6292","27974"
"gun_1725","27492"
"gun_2068","27380"
"gun_1759","26937"
"gun_3726","26220"
"gun_2438","25312"
"gun_9936","25312"
"gun_1838","24966"
"gun_14","24472"
User:HotdogPi/My discoveries

Periods discovered: 5-16,⑱,⑳G,㉑G,㉒㉔㉕,㉗-㉛,㉜SG,㉞㉟㊱㊳㊵㊷㊹㊺㊽㊿,54G,55G,56,57G,60,62-66,68,70,73,74S,75,76S,80,84,88,90,96
100,02S,06,08,10,12,14G,16,17G,20,26G,28,38,47,48,54,56,72,74,80,92,96S
217,486,576

S: SKOP
G: gun

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Execution of Old Guns by Variable-Speed Firing Squad

Post by MathAndCode » August 19th, 2021, 2:31 pm

hotdogPi wrote:
August 19th, 2021, 9:31 am
2415 (690 × 3.5) was ridiculously large (37366). I cut it down to 29568 simply by using what 4830 (=2415×2) already had, which will make it the 15th largest instead of the 3rd largest.
That gun uses three glider guns to make a LWSS, but the p14 glider gun mentioned in this page and the previous page shows that your p21 pi factory allows a smaller method.

Code: Select all

x = 211, y = 120, rule = B3/S23
32bo21b2o$24bo5b4o20bobo$23bobo3bobob2o20b3o$23bobo2bo2bob3o20b3o$24b
o4bobob2o20b3o8bo$30b4o8b2o3b2o5bobo9bo$32bo9bobobobo5b2o9bobo$21b2o3b
2o16bobo17b2ob2o$21bobobobo16bobo16bo5bo$22b5o18bo20bo$23b3o37b2o3b2o
$11bo12bo50b2o$9b4o62bobo$8bobob2o52bo3b2o4b3o$7bo2bob3o50bob3o2bo4b3o
$8bobob2o51bob2ob2o4b3o$9b4o53bo8bobo$11bo41bo21b2o$25bo25b3o$25bo24b
o$7b3o28b2o10b2o$7b3o8b2o19bo31b2o$6bo3bo7b2o2b2o3b2o10bobo23bo5b2o$40b
2o22b3o$5b2o3b2o51bo3bo14bo$63b2ob2o13b3o$80b5o$64b3o12b2o3b2o$22b2o3b
2o35b3o13b5o$80bo3bo$81bobo$25bo56bo105bo14bo2bo2bo$25bo162b3o9bo2b7o
$191bo8b3o$8b2o56b2ob2o10b2o107b2o12b4o$8b2o8bo7bo39b2ob2o10b2o95b2o5b
2o15b2o2bobo$18b2o5b2o39b2ob2o107b2o5b2o6bo7bo6bo$18b3o3b3o37bob2ob2o
bo105b2o5b2o5b3o5bob5ob2o$20b2ob2o39b3o3b3o106b2o3b2o5bo2b2o4bobo5bo$
20bo3bo40bo5bo106b2o5b2o4b2ob2o3b2o2bo2bobo$17b2o7b2o151bobobobo4bobo
8bobobo2b2o$17b2o7b2o153bobo6bobobo6bobo2b2o$21bobo157bobo8bo2bo4b2ob
o3bo$17bo2bo3bo2bo148b3o2bobo2b3o3bo9bob2obob2o$18b3o3b3o149b2obobobo
bob2o3bo3bo5bo4bo2bo$180bo3bo6bo3bo5b2obo3bo$195bo5bo2b4o$192bo2bo6b2o
$18b2o5b2o37b2o5b2o120bobobo3bo2b2o$18b2o5b2o37b2o5b2o122bobo3b2obo$192b
2ob2o5bobo$192b2o2bo5bobob2o$193b3o7bobobo$90b2o102bo5b3o2bo$89b2ob2o
105bo3b3o$90b4o104bobobo$91b2o106b2ob2o2$199b2ob2o$200bobo$200bobo$191b
3o7bo$190bobobo$188b3o3b3o$13b2o5b2o37b2o5b2o119bo4bo4bo$13b2o5b2o29b
2o6b2o5b2o120b4obobobo$52b2o137bobo4b2o$51bo136b2obo3b3o2bo$188b2obob
3obob2o$192b4obobo$183bo12b2o2bo$182bobo13b3o$14bo5bo161bobo9b4o$13b3o
3b3o111b2o5b2o39b2ob2o4b2o3bo2bo$12bo2b2ob2o2bo110b2o5b2o48bo2bo3b2o$
12b3o5b3o106bo15bo46b2ob2o$128bobo13bobo47bo3b3o$60bo5bo61b2o15b2o47b
ob2o2bo$3b2o54b3o3b3o8b2o117bobo$3b2o53bo3bobo3bo7b2o$58bo9bo$59b3o3b
3o$77bo55b3o3b3o$76b3o53bo3bobo3bo$19b3o53bo3bo43b2o6bo3b2ob2o3bo52b2o
$18bo3bo54bo45b2o6bob2o5b2obo34b3o5b3o7b2o$18b2ob2o38b2ob2o8bo5bo52bo
7bo36b3o5b3o$19bobo40bobo9bo5bo98b2o5b2o$58b2ob2ob2ob2o6bo3bo101bo3bo
11bo$19bobo37bobo3bo2bo7b3o100bo2bobo2bo8bobo$2o3b2o11b2ob2o12b2o4b2o
17bo7bo109bo3bobo3bo6bo3bo$2b3o8b2o3bo3bo11bobo4b2o22bo2bo110bo2bobo2b
o7b5o$bo3bo7b2o4b3o12bo31b2o71b3o37b3o3b3o6b2o3b2o$2bobo28b2o10b2o92b
obo53b5o$3bo41bo92bo3bo53b3o$46b3o71b2o3b2o11bo3bo54bo$6b2o40bo21b2o83b
2o4b2o$4bo3bo52b2o7bo2bo47bo3bo7b2o4b3o12bobo4b2o23b2o$3bo5bo50bo4b2o
7bo47b3o8b2o19bo31b2o$2b2obo3bo50bo6bo6bo47b3o28b2o10b2o$3bo5bo51b6o7b
o90bo$4bo3bo61bo2bo92b3o$6b2o10b3o49b2o54bo41bo21b2o$17bo3bo102b4o53b
o8bobo$40bo17b2o3b2o58bobob2o51bob2ob2o4b3o$16bo5bo16bobo17b5o58bo2bo
b3o50bob3o2bo4b3o$16b2o3b2o16bobo17b2ob2o59bobob2o52bo3b2o4b3o$27b2o8b
obobobo5b2o8b2ob2o60b4o62bobo$25bo3bo7b2o3b2o5bo2bo7b3o63bo12bo50b2o$
19bo4bo5bo22bo84b3o37b2o3b2o$18bobo2b2obo3bo22bo83b5o18bo20bo$18bobo3b
o5bo22bo82bobobobo16bobo16bo5bo$19bo5bo3bo19bo2bo83b2o3b2o16bobo17b2o
b2o$27b2o20b2o96bo9bobobobo5b2o9bobo$145b4o8b2o3b2o5bobo9bo$139bo4bob
ob2o20b3o8bo$138bobo2bo2bob3o20b3o$138bobo3bobob2o20b3o$139bo5b4o20bo
bo$147bo21b2o!
That decreases the area to 25,320. Further reductions likely are possible using that method, but the fact that the p2415 gun is larger than all of the guns using true-period Hershcel loops or Herschel-and-glider loops in Catagolue might indicate that that is the better way for this period. Then again, it's possible that only the gun periods for which Herschel loops or Herschel-and-glider loops are efficient were submitted to Catagolue.
I am tentatively considering myself back.

hotdogPi
Posts: 1587
Joined: August 12th, 2020, 8:22 pm

Re: Execution of Old Guns by Variable-Speed Firing Squad

Post by hotdogPi » August 19th, 2021, 3:08 pm

I re-submitted one for 2415 later (after the manual update about three hours ago, but before you replied here) that is the existing 805 with a tremi-snark.

Look after the update in 1 hour and 20 minutes to see what I still haven't done yet (or what didn't get accepted).
User:HotdogPi/My discoveries

Periods discovered: 5-16,⑱,⑳G,㉑G,㉒㉔㉕,㉗-㉛,㉜SG,㉞㉟㊱㊳㊵㊷㊹㊺㊽㊿,54G,55G,56,57G,60,62-66,68,70,73,74S,75,76S,80,84,88,90,96
100,02S,06,08,10,12,14G,16,17G,20,26G,28,38,47,48,54,56,72,74,80,92,96S
217,486,576

S: SKOP
G: gun

User avatar
dvgrn
Moderator
Posts: 10612
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI
Contact:

Re: Execution of Old Guns by Variable-Speed Firing Squad

Post by dvgrn » August 19th, 2021, 3:52 pm

MathAndCode wrote:
August 19th, 2021, 2:31 pm
hotdogPi wrote:
August 19th, 2021, 9:31 am
2415 (690 × 3.5) was ridiculously large (37366). I cut it down to 29568 simply by using what 4830 (=2415×2) already had, which will make it the 15th largest instead of the 3rd largest.
That gun uses three glider guns to make a LWSS, but the p14 glider gun mentioned in this page and the previous page shows that your p21 pi factory allows a smaller method....
That decreases the area to 25,320. Further reductions likely are possible using that method, but the fact that the p2415 gun is larger than all of the guns using true-period Hershcel loops or Herschel-and-glider loops in Catagolue might indicate that that is the better way for this period. Then again, it's possible that only the gun periods for which Herschel loops or Herschel-and-glider loops are efficient were submitted to Catagolue.
hotdogPi wrote:
August 19th, 2021, 3:08 pm
I re-submitted one for 2415 later (after the manual update about three hours ago, but before you replied here) that is the existing 805 with a tremi-snark.
Yup, signal loops are going to be fairly efficient for pretty much any non-prime period in the four-digit range. Here's the first thing I can throw together for p2415 -- not sure if that's bigger or smaller than the 805*3 one:

Code: Select all

x = 87, y = 67, rule = LifeHistory
33.2A11.A$32.B2AB9.A.A$33.3B9.A.A2.2A3.A$32.B.B9.2A.2A2.A2.A.A2.A18.B
$32.5B8.B2.A.A3.A.A2.3A5.2A8.3A$32.6B6.2ABA2.4A.A6.A3.B2AB8.2A$32.8B
4.2A.A.A3.A7.2A4.2B8.B2ABA$33.13B2.A.AB2.A6.7B10.A.3B.2A$31.13B5.A.A
2B.A7.6B10.A2B3A.A$30.15B5.A2B.2A6.B3A4B10.AB4.A$30.15B4.3B10.BA2BA4B
11.4A$29.17B.B.2B10.BA3BA6B8.2A.B$29.29B4.BA2B2A6B7.2A.2B$28.13B2A16B
2.4BA7B9.B3A$27.14B2A16B2.2B2A8B11.2B$26.2AB3.27B.2B3A9B11.BA$25.A2.A
4.29B4A9B5.B2.BA.A$24.A.2A5.6B3.B2.2B2.21B2.4B3.3B.B2A$24.A7.6B14.17B
4.4B.6B$23.2A6.9B14.9BABA4B4.10B$6.2A6.2A14.4B4.2A15.7B2AB2A3B5.5B2A
2B$A.2A.A.A6.A.A.2A.A8.4B4.A15.8B2ABABA3B5.3BA2BA$2A.A.A10.A.A.2A7.5B
5.3A12.7B.4AB2AB5.4BABAB$4.B2A8.2AB8.9B6.A10.2AB.3B4.2B2A2B5.6BAB$4.
2AB8.B2A8.9B16.A.AB9.B3A5.4B2.3B$5.4B4.4B9.9B16.A10.6B4.4B3.3B2.BA$6.
B2A4B2AB10.10B14.2A8.A.2AB.B4.4B4.B.A.3AB$8.2A2B2A11.12B21.4A3B5.4B6.
BAB2AB$4.B2.3A2B3A2.B6.13B8.2A10.A4.B6.4B7.2A.AB$3.2A2B3A2.3A2B2A6.
11B9.A12.3A.2A4.4B7.3B.2A$3.2A2B2AB2AB2A2B2A7.12B4.BA.A14.A.A4.4B9.BA
.AB$4.B.B8AB.B8.15B.B2A10.A4.A.A3.4B8.BA.3A$7.8B11.17B12.3A3.A3.4B9.
4A$8.6B12.17B15.A5.4B8.3A.B$10.2B11.B.17B15.2A4.4B5.2A.A.AB$10.2B10.
2A19B14.9B5.A.A.A$11.B10.2AB.19B14.6B6.A3.A$10.2AB10.B4.20B2.2B2.B3.
6B5.2A.A2.2A$.2A6.A2BAB5.2A7.36B4.A2.A$2.A4.3B2A3B4.A8.9B.27B3.B2A$2.
A.AB.8B.BA.A9.7B2.16B2A14B5.2A$3.2AB.8B.B2A10.7B2.16B2A13B5.A.A$5.12B
12.6B4.29B4.3A$5.12B12.7B10.2B.B.17B3.A3.A$5.12B3.A8.6B10.3B4.15B4.AB
AB.A$7.10B3.3A5.7B6.2A.2BA5.15B5.2B.2A$9.7B7.A5.5B7.A.2BA.A5.13B5.BA$
9.8B5.2A4.6B8.A2.BA.A2.13B7.BA$8.5B.4B4.14B7.A3.A.A.2A4.7B5.ABA$8.6B.
4B5.9B.2A5.A.4A2.AB2A6.5B4.A2B$7.6B3.4B2.8B4.A5.A.A3.A.A2.B8.6B2.A2.A
$3.B2.3BA3B4.15B3.3A2.A2.A4.2A.2A11.2A.5A$.7BABA2B5.14B5.A3.2A3.A2.A.
A2.A9.A.2A2B.A.A$.7BABA2B6.13B14.2A5.2A10.AB5.2A$9BA3B7.10B.B2A$11B.B
2A6.4B2AB3.BA.A$.9B2.BA.A6.3B2AB6.A$.7B7.A7.5B6.2A$2.6B7.2A7.3B$3.4B
14.AB.2B$4.4B12.A.AB2AB$5.4B11.A.ABABAB$6.4B7.2A.A.A.A.A2.A$7.4B6.A2.
A2.2A.4A$8.3BA7.2A4.A$9.3BA12.A.A$10.3A13.2A!

hotdogPi
Posts: 1587
Joined: August 12th, 2020, 8:22 pm

Re: Execution of Old Guns by Variable-Speed Firing Squad

Post by hotdogPi » August 19th, 2021, 4:18 pm

Here is the largest gun list after the manual midday update about four hours ago. You'll see it change a lot when it updates in just a few minutes.

Code: Select all

"gun_17","39990"
"gun_19","34953"
"gun_2415","29568"
"gun_6292","27974"
"gun_1725","27492"
"gun_2068","27380"
"gun_1759","26937"
"gun_2438","25312"
"gun_14","24160"
"gun_16","24024"
"gun_1924","23976"
"gun_5000","23738"
"gun_1628","23506"
"gun_4280","23112"
"gun_1714","23100"
"gun_8370","22338"
"gun_6820","22072"
"gun_2156","21838"
"gun_27","21546"
"gun_7832","21114"
"gun_2002","20646"
"gun_5720","20604"
"gun_1994","20350"
"gun_2860","19800"
"gun_7140","19635"
"gun_5428","19312"
"gun_2350","19256"
"gun_7050","19256"
"gun_1734","19152"
"gun_1391","19140"
"gun_4760","18988"
"gun_1815","18850"
"gun_2444","18850"
"gun_3630","18850"
"gun_4350","18832"
"gun_6630","18715"
"gun_1458","18560"
"gun_5320","18507"
"gun_5612","18224"
"gun_8010","18216"
"gun_1406","18100"
"gun_4002","17928"
"gun_2728","17875"
In addition, there are 7 4-digits below 3,000 cells: 1320, 2208, 1560, 1472, 2944, 1380, and 2760. There should be more after the update.
User:HotdogPi/My discoveries

Periods discovered: 5-16,⑱,⑳G,㉑G,㉒㉔㉕,㉗-㉛,㉜SG,㉞㉟㊱㊳㊵㊷㊹㊺㊽㊿,54G,55G,56,57G,60,62-66,68,70,73,74S,75,76S,80,84,88,90,96
100,02S,06,08,10,12,14G,16,17G,20,26G,28,38,47,48,54,56,72,74,80,92,96S
217,486,576

S: SKOP
G: gun

Sokwe
Moderator
Posts: 2645
Joined: July 9th, 2009, 2:44 pm

Re: Execution of Old Guns by Variable-Speed Firing Squad

Post by Sokwe » August 20th, 2021, 12:36 pm

One side of the p6 glider injection gate only requires a weak spark that can be supplied by a p6 thumb:

Code: Select all

x = 32, y = 27, rule = B3/S23
2bo12bobo$obo11bo$b2o11bo12b2o$5bo8bo2bo10bo$6bo7b3o9bo$4b3o17b4o$23bo
4bo$22bob5o$22bo2bo3b2o$21b2obob3o2bo$12bo11bobobob2o$2b2o9bo4b2o2b2ob
o2bo$b4o6b3o9bobob2o$b2ob2o15b2obobo$3b2o11bo5bobobo$14bobo5bo2bo$15b
2o6b2o$19bo$10bo9bo$9bobo6b3o$5bo2b2obo$5b2o2bo2b2o9bo$10bobo8bobo$5b
6obo9b2o$5bo5bo14bo$8b3o16bo$8bo16b3o!
I think this should reduce the bounding box of the p14 gun by another row and column (a few p6 pipsquirters need to be flipped around and Beluchenko's p7 needs to be replace with a pipsquirter in the upper right corner). I don't see how a reduction by two rows and columns would be possible without custom sparkers.
-Matthias Merzenich

User avatar
calcyman
Moderator
Posts: 2932
Joined: June 1st, 2009, 4:32 pm

Re: Execution of Old Guns by Variable-Speed Firing Squad

Post by calcyman » August 20th, 2021, 3:04 pm

Sokwe wrote:
August 20th, 2021, 12:36 pm
I think this should reduce the bounding box of the p14 gun by another row and column (a few p6 pipsquirters need to be flipped around and Beluchenko's p7 needs to be replace with a pipsquirter in the upper right corner). I don't see how a reduction by two rows and columns would be possible without custom sparkers.
Thanks! That reduces it to 23850. (It wasn't necessary to replace a Beluchenko p7 with a pipsquirter, though; it sufficed to skew it.)

Code: Select all

x = 159, y = 150, rule = LifeHistory
66.2A$54.2A4.A2.A2.A$27.A27.A2.6A4.A$27.3A10.2A13.A.A6.4A.A4.2A72.A.A
$15.2A13.A8.A2.A11.2A.AB2A2BAB2.A.A4.A68.2A2.A.2A2.A$15.A13.2A8.A.A.A
11.A.B.BA.4A2B.A.A3.3A65.A3.A3.3A$17.A11.4B5.2A.A.A11.A.2A.A.A3.BABA.
4A2.A66.3A.2A$16.4A11.BAB2.2BA.B.A.2A8.2A2.A.A.4A3.BA4.A.A.A.A64.A.A.
2A$15.A4.A9.BABA.4B2A.A2.A10.A.A.2A4.3A.B.3A.A.2A.3A63.2B2.A$15.5A.A
5.2A.B2A2B.2BA.BABA.A.2A7.A2.A3.3A2.ABABA3.A7.A41.2A19.AB2A$13.2A2.BA
B.A5.2A7B2.2A.ABABA2.A6.2A3.3A2.A3.3A4.A.2A.3A23.2A16.B2AB17.BAB2.3A$
12.A2.3ABA.2A5.7B4.A.3B2.2A14.A6.3B5.A.A.A25.A.A2.2B5.2A5.2B18.3B2A2.
A$12.2A.A.ABAB.3B3.7B4.A.5A24.B7.AB28.A6B3.B2AB3.2B9.A.A.2A3.4B.A.A$
15.A2.A.2A2B2A.B.A5B5.A4.A25.4B2.4B29.5B4.2B4.B2A7.A.3A2.A.2AB2A.A.2A
$15.2A.A.A.3B.3B2A5B5.4A14.B2.8B.2A8B4.2A.2A20.B3A2B4.2B2.B2ABAB5.A5.
2A.A.A3BA2.A$17.A.A.2A3.2BABA2.4B6.A15.5B2A4BA2BA6B4.ABA.A20.BA2BA2B
3.2AB2.2AB3A2.2A.2A.3A3.A.A.B2.2A$17.A.A.A4.4B4.4B7.A12.4B2AB2A3BA2BA
7B3.2BA.A20.BA3BAB.BAB2AB.A2B3AB2.A2.A.A2.4A.5A$18.A2.A3.4B6.4B5.2A
12.4BA2BA3B2AB2A8B.4B.A.2A17.2ABABAB.3AB2A.A.2B2A3.A.A2.A.A4.AB3.A$
13.2A4.2A3.4B8.4B18.4BA2BA4B2A4BABA2B.A2BAB.A.A18.2AB2A2.B3A2BA.A.2A
2B2.2A.3A.A.3A.A.3A$7.A.2A.A.A8.3AB10.3BA15.2A5B2A.8B.BABAB3.A.A.2A.A
18.B3A2B2.2A2B.A2.AB12.A3.2AB2A$7.2A.A.A.A.2A4.3BA12.ABAB13.A.AB2.4B
10.2BA2B4.2A3.A7.BA3.AB5.6B2.2B2A.A8.A.2A.2A.A4.3B$11.2ABA.2A3.3BA14.
2A2B12.A9.B9.5B6.3A5.2B2A.A.A.2A2B2.6B5.BA9.2A.A.A.A5.3B$11.BA.BA4.4B
16.4B10.2A7.3BAB7.6B5.A7.2A2B.A.A.2B2A2.2B3AB21.BA7.B11.2A$12.BABAB2.
4B18.4B14.B3.2BABA7.7B11.B3A2BA.A2B3AB2.2AB2A20.4B2.4B11.A.A$11.2BABA
3BA2B4.2A5.2A7.4B12.2AB.3ABAB7.6B2A11.3AB2A.2AB3A.BABAB2A11.2A.2A4.
10B.8B2.BA$12.B2A2B.3AB3.B2AB3.B2AB7.4B11.2A3B2AB2AB6.5B2A2B10.BAB2AB
.B2ABAB.BA3BAB6.2A4.A.2AB4.7B3A4B2A5B$10.2AB4.BAB2A4.2B5.2B9.4B11.B.
4BA2.A6.5B.BA2B11.2AB3.B2A3.2BA2BAB6.A5.A.2BA3.8BA6BABA4B$9.A.AB4.5AB
4.2B3.2B11.4B14.B4A7.5B2.4B11.2B3.2B4.2B3AB4.2A.A2.2A.A.ABAB.9BABA6BA
5B$9.A6.B2ABABA3.A2B3.2BA11.4B25.5B3.4B9.2B5.2B4.5B4.2BA4.A.A.3BAB.BA
B2A4B2A4B3A5B$8.2A6.B2ABA2B.2B2A2B.2B2A2B10.3BA12.B4A7.5B4.4B7.B2AB3.
B2AB3.4B.2BA2B6.A.2A.B.A3.B2A2B.8B.6B$16.4BA2B.2B2ABA.AB2A2B11.3BA7.B
.4BA2.A6.ABA2B5.4B7.2A5.2A4.5B2A3BA6.A3.2A4.5B10.4B$4.BA10.5B2.2BA2B
2A.2A2BA2B11.3AB5.2A3B2AB2AB6.3BAB6.4B18.4B2.2A3B8.3A6.5B9.B$.BABA.A
9.3BA2B2.AB2A.A.A.2ABA13.4B4.2AB.3ABAB7.3BAB7.4B16.BA2B4.AB.BA9.A5.6B
7.2A3B$.AB2A.A2.AB5.3BABA2.BABA.A.A.ABAB14.4B4.B3.2BABA7.A2BAB8.4B14.
2A2B3.AB.ABAB14.7B7.2A3B3.B$2BA2B2A.A.ABAB2.ABA3B5.BA3.AB18.4B7.3BAB
7.B3AB9.3BA12.2B2A4.2A.A.A.A.2A9.A7B7.BA3BA.3A$.2B2ABA.A.2ABA2.2BA3B
31.4B8.B4.2A3.5B10.B2AB10.4B8.A.A.2A.A8.B2A6B6.BA3B6A$.2B2A2B.2A2BA2B
2.5B32.4B12.A4.5B11.ABAB8.4B3.2A4.2A13.BABA.5B6.A2.4BA.B$3.A2B2.AB2A
2B.2BA4B33.4B5.B2.BA.A4.5B5.2A5.4B6.A3B3.A2.A17.4B2.5B7.5A$4.2B2.2B2A
2B.2BAB2AB34.4B3.3B.B2A5.5B5.A7.4B4.A3B4.A.A.A15.4B3.5B$3.2B4.2BA3.AB
AB2AB35.4B.6B7.5B7.A6.4B2.B3AB3.2A.A.A14.4B4.ABA2B7.5A$2.B2AB3.2B4.B
5A37.3B2A5B7.5B6.4A5.10B.2BA.B.A.2A11.4B5.3BAB6.A2.4BA.B$3.2A5.2B4.2A
BAB25.2A11.A4B2A2B7.5B5.A4.A5.6B.B.4B2A.A2.A10.4B6.3BAB6.BA3B6A$9.B2A
B3.B3A2B25.A12.A5BA8.5B5.5A.A4.7B3.2BA.BABA.A.2A6.4B7.A2BAB7.BA3BA.3A
$10.2A3.B3AB27.A.AB2.B5.3B2ABAB8.5B3.2A2.2BA.A4.7B5.2A.ABABA2.A5.4B8.
B3AB7.2A3B3.B$15.2A6.B24.2AB.3B3.6BAB9.5B2.A2.A4B.2A2.7B2A5.A.3B2.2A
5.4B9.5B7.2A3B$2.A2.A2.A7.A6.A26.6B.4B2.3B9.5B2.2A.A.ABAB.A2B.2B2AB.
2A5.A.5A6.2A2B10.5B9.B$2.7A2.A.3A5.3A26.10B3.3B9.5B5.A2.A.3A3B.ABAB9.
A4.A5.2B2A11.5B$9.3A.A6.A29.3B2A4B6.4B6.5B5.2A.A.B.A2B2.BAB11.4A5.2BA
B12.5B$4.4A12.2A22.B6.B2ABA2B7.3BAB5.5B7.A.A.2A5.4B10.A6.4B13.5B$3.A.
A.3A7.5B3.2A5.2A9.3A5.B2ABA3B5.4ABA5.5B7.A.A.A8.2A8.A7.4B14.5B$3.A.AB
3.A6.3B4.A2BA3.A2BA8.6B3.A2BA4B4.3A.A.AB3.5B8.A2.A8.A9.2A5.4B15.5B$2.
2A.B4A.A4.5B4.2B5.2B12.2AB4.2A2.4B4.B3.ABAB2.2BABA9.2A4.2A4.3A12.4B
16.5B$3.A.A3.A.A4.6B4.BA3.AB13.B3A3.2B3.4B8.A2B2.BA3B14.A.A6.A11.4B
17.5B$3.A.2B2A2.2A2.BA5B3.A2B3.2BA11.BA.2BA2.B5.4B6.2A2B2.BA3B14.A19.
4B18.5B$2.2A.BA.A.A4.A2BA3B.2B2A2B.2B2A2B8.2B3A2B.3A5.4B4.B2A2B2.BA2B
A12.2A.4A14.4B19.5B$4.2AB.A.A4.4BA2B.5BA.A5B9.BA.7A6.4B4.2A4.B3AB8.2A
.A.A.B2.A13.A3B20.5B$4.A.A.A.2A3.4BA2.2BA2B2A.2A2BA2B12.BA3B8.3BA9.5B
7.A.A.A.A2BA2.2A10.B2AB21.5B$.2A.A.BA.A5.B3A2B2.ABAB.A.A.BABA27.3BA8.
5B6.A.A2.A.A3B2A2.A8.BABA22.5B$.A2.4A.A5.6B2.A2BA.A.A.A2BA28.3AB7.5B
6.2A3.A.2ABA2.2A.A6.4B23.5B$3.A3.A.2A4.6B5.BA3.AB32.4B6.5B12.A3.BAB3.
A5.4B24.5B$4.4AB.A2B2.2B3AB45.4B5.5B6.4A3.3A.A.3A5.4B25.2BABA$8.3A3B
2.A4B46.4B4.5B5.A4.A4.5A6.4B26.BA3B$6.2A2.A2B.2BA4B47.4B3.5B4.A.ABABA
5.3B6.4B11.B15.BA3B$7.A.2A3.3BA2BA48.4B2.5B4.A.A2B2.2A3.3B5.4B10.3B2A
13.BA2BA$7.A.A4.5BAB49.4B.5B3.2A.3B2A2.A3.B.B3.4B7.A3.2BA2B13.B3AB$4.
2A.A.A4.6B51.11BAB.ABAB.A.2A4.A7B7.A2B.2A2BAB13.5B$4.A.A.A6.45B2A19B
3A2B.A2.A5.5B2A2B8.A4BA3BAB12.5B$6.A2.3A3.25B2A17B4A13BA4.BAB.A.A.2A
4.B2A4B2A10.A.A3BA2.A12.5B$6.3A3.A.3AB2A2B2A14B2AB2A16B2AB2A10BABAB5.
2A.A.A6.B2A3B2AB14.B4A13.5B$9.A.A.3A3BA2BABA13B4A19B2A12B2A2B5.A.A.A
4.2AB.3B3A2B31.5B$8.2A.2A3B3A3BA16B2A32B3.3BA4.A2.A4.A.AB3.3A4B12.B4A
13.5B$14.2B.3B3.4B43.B6.3BA4.2A5.A5.ABAB.2B2A7.A.A3BA2.A12.5B$8.2A.2A
5.B5.4B42.BA6.3AB9.2A5.2A2.2B2A2B5.A4BA3BAB12.5B$9.A.A7.B5.4B16.2A23.
2BA6.4B20.3BA2B4.A2B.2A2BAB13.5B$9.A.A6.2BA5.4B14.A.A21.A3B.A6.4B18.B
3.4B4.A3.2BA2B13.5B$10.A5.3BA.A5.4B13.A22.A3B3A7.4B16.3B3.4B7.3B2A13.
5B$15.ABA2B2A6.4B6.2A2.2A.4A18.3A2B2.2A6.4B15.3B4.2B2A8.B11.2A2.5B$
15.2A2BA2.2A5.4B5.A2.A.A.A2.A23.A.A8.3BA13.2AB2A4.BABA3.4B11.A.A2.5B$
20.A.A7.4B6.2A.2A2B2.2A16.6A.A9.3BA10.3A.A.3A3.A8BA.8B2.BA3.5B$15.6A.
A8.B3A6.A.AB4A2.A15.A5.A11.3AB4.2A2.A3.BAB3.A3.7B2A5B2A5B4.5B$15.A5.A
10.A3B5.A.2ABA2.2A.A17.3A13.4B3.A2.A.AB2A2.2A.A4.5B2ABA4BABA4B4.5B$
18.3A12.A3B5.A3.BAB3.A17.A16.3BA4.2A.A3B2A2.A6.5BABA4BAB2A4B3.ABA2B$
18.A15.4B5.3A.B.3A25.A10.ABAB4.A.AB2A2.2A3.2A2.B.4B2A5B2A5B3.3BAB$35.
4B6.ABABA13.2A10.3A11.2A2B3.A.A.B2.A5.AB.3B2.8B.A5B4.3BAB$24.B11.4B6.
3A13.A2.A8.A10.2A3.4B3.2A.4A7.BA2B11.4B6.A2BAB$22.BA3B10.4B5.3B12.A.A
.A8.2A9.2A4.4B4.A7.5AB2A10.B10.B3AB$22.AB3A3.B7.4B3.B.B13.A.A.2A5.4B
16.4B3.A.A5.A2.A.2AB8.2A3B8.5B$22.5BA.B2A7.8B12.2A.A.B.A2B2.BAB11.4A
4.4B3.2A6.2A7B6.2BA2B3.A4.5B$21.B2A3BA2B2A8.7BAB10.A2.A.2A4B.ABAB9.A
4.A4.3BA12.AB.B.2A6.BA2B2A.2BA3.5B$21.A2.2BA2B.B10.B2A2BABAB6.2A.A.AB
AB.A2B.2B2AB.2A5.A.5A5.ABAB9.2A5.A6.BA3BA4BA3.5B$22.4AB14.2B2AB2A2B6.
A2.ABABA.2A2.7B2A5.A.BAB2.2A4.2A2B8.A7.3A3.A2.A3BA.A4.5B$40.2BA5B.B2A
5.2A2.3B.A4.7B5.2A.AB3A2.A4.3BA8.A8.A4.4AB8.5B$22.4AB12.7B3.BA.A6.5A.
A4.7B3.3B.BABA.A.2A5.3BA6.2A26.5B$21.A2.2BA2B.B7.4B.2B2A5.A6.A4.A5.A
5B.B.2A2B2A.A2.A9.3AB20.4AB8.5B$21.B2A3BA2B2A5.2A4B2.2A5.2A6.4A5.BABA
3B2AB.3B.A.A.2A10.4B18.A2.A3BA.A4.5B$22.5BA.B2A4.ABA3B19.A6.2B2A2.3BA
B3.2A.A.A13.4B17.BA3BA4BA3.5B$22.AB3A3.B4.3BA3.B16.A7.4B4.4B4.A.A.A
14.4B17.BA2B2A.2BA3.5B$22.BA3B7.4B3.3B15.2A5.4B6.4B3.A2.A16.4B16.2BA
2B3.A4.5B$11.2A11.B8.4B4.3B21.4B8.4B3.2A4.2A12.3BA15.2A3B8.5B$11.A.A
11.4B3.A3B4.5A19.4B10.3BA8.A.A.2A.A7.3BA16.B10.5B$12.AB2.8B.7B2AB3.3A
.A.3A16.4B12.B2AB4.2A.A.A.A.2A8.3AB26.5B$13.7BA3B2A5BABA3.A3.BAB3.A
14.4B14.ABAB3.AB.A2BA13.4B25.5B$13.6B3A3BA7B4.A.2A2.AB2A.A.2A9.4B16.
4B4.2A.2B14.3BA24.2BABA$12.6BA3B3A7B6.A2.2A3BA.A.2A8.A3B18.4B2.2B2AB
16.ABAB23.BA3B$12.6B2A3BA6B.B2.2A3.2A2.A2BA.A10.A3B7.2A5.2A4.7BA3B16.
2A2B22.BA3B$13.6B.8B2.2BA.BA5.A2.B.A.A9.B3A7.B2AB3.B2AB3.4B.BA3B18.4B
21.BA2BA$15.4B11.B3A7.4A.2A9.4B9.2B5.2B4.B3AB4.B2A17.4B20.B3AB$19.B
10.A3B4A7.A10.4B11.AB3.BA4.BA2BAB4.BA.A17.4B19.5B$17.3BAB8.3A.B2.A5.A
.A9.4B11.B2A3.2AB3.BA3BAB6.A18.4B18.5B$13.B3.3ABA6.B8A6.2A9.4B10.3BAB
A.ABA3B.2A2BA2B6.2A18.3BA17.5B$12.2AB.A5B6.2A.B.AB18.4B11.5BA.A5B.ABA
4B27.ABAB16.5B$12.2A2BA3B2AB6.A5.2A15.4B11.6BA.A6B2.B2A2B28.2A2B15.5B
$13.B.2BA2B2.A3.3A7.A14.4B13.2ABA.A.A.AB2A2.2B3AB29.3BA14.5B$17.B4A4.
A9.A.A11.4B14.BA2B.A.A.2BAB2.BAB2AB5.2A3.2A18.3BA13.5B$37.2A10.A3B18.
2A3.2A5.B2ABAB2.BA2B.A.A.2BAB16.3AB12.5B$17.B4A10.A15.BABA31.B3A2B2.
2ABA.A.A.AB2A17.4B11.5B$13.B.2BA2B2.A9.3A12.2B2A32.2B2AB2.6BA.A6B17.
4B10.5B$12.2A2BA3B2AB6.A5.A10.4B33.4BABA.5BA.A5B19.4B9.5B$12.2AB.A5B
7.6A.A8.4B34.2BA2B2A.3BABA.ABA3B20.4B8.5B9.2A$13.B3.3ABA12.A.A7.4B35.
BA3BAB3.B2A3.2AB23.3BA7.5B10.A$17.3BAB7.2AB2A2.2A5.4B37.BA2BAB4.AB3.B
A25.3BA6.5B8.A$19.B9.2AB2ABA6.4B38.B3AB4.2B5.2B25.3AB5.5B6.4A$24.A5.
2B2A.A5.4B37.A6B3.B2AB3.B2AB25.4B4.5B5.A4.A$23.A.A6.2BA5.4B37.A.A2.2B
5.2A5.2A27.3BA3.ABA2B4.A.5A$23.A.A7.B5.A3B38.2A47.ABAB2.3BAB4.A.A2B2.
2A$22.2A.2A5.B5.A3B89.2A2B.5B3.2A.4BA2.A$28.2B.3B3.B3A91.4BA3BA3BA.BA
BA.A.2A$22.2A.2A42B2A40B2A24B2ABA3B3A.A2.A$23.A.A.A21B2A17B4A19B2A17B
4A19B2A3B4.2BA.B.A.2A$17.2A.3A3.A.19B2AB2A16B2AB2A16B2AB2A16B2AB2A18B
3A3B5.2A.A.A$18.A.A2.3A3.18B4A19B2A17B4A19B2A20BA4BA5.A.A.A$17.A2.A.A
6.2BA16B2A40B2A41BA3.ABAB4.A2.A$17.A.A.A.A4.2B3AB97.B6.2A2B4.2A$18.2A
.A.A4.B2A2BAB97.B6.3BA$9.2A10.A.2A3.BA3BAB96.BAB6.3BA$9.A.A6.4A2.3B.B
ABA3B96.3A7.3AB$11.A5.AB3.2A2B2A2.5B95.ABABA7.4B$11.2A2.A4B2AB.3B2.B
2AB2A93.3A.B.3A6.3BA$9.2A2.BA4BA.B.2A4.3BA2B5.2A3.2A80.A3.ABA3.A6.ABA
B$8.A2.2ABA3BA2BA.A5.2BA3B2.B3A.A.A.3AB76.A.2A2B2.2A.A7.2A2B$9.A.A2.A
.B2.A.B.A5.2AB2AB2.A2BA.A.A.A2BA76.A.3B3A2.A9.3BA$8.2A2.A.A.4A.2A6.5B
2.A3BABA.ABA3BA74.2A.A3B2.2A11.3BA$10.A.2A.A4.A8.3BABAB.5BA.A5B73.A2.
A.B.A2.A14.3AB$10.A4.A.2A.A8.BA3BAB.A4BA.A4BA73.2A2.2A.4A15.4B$9.2A4.
2A.2A9.BA2B2AB3.3A3.3A81.A20.3BA$30.B3A2B4.2B3.2B82.A.A19.ABAB$30.2BA
2B4.2B5.2B82.2A20.2A2B$28.A6B3.B2AB3.B2AB104.3BA$27.A.A2.2B5.2A5.2A
106.3BA$27.2A126.3AB!
What do you do with ill crystallographers? Take them to the mono-clinic!

User avatar
Kazyan
Posts: 1247
Joined: February 6th, 2014, 11:02 pm

Re: Execution of Old Guns by Variable-Speed Firing Squad

Post by Kazyan » August 20th, 2021, 10:23 pm

Smaller p399, based on multiplying the period of a p21 gun by 19:

Code: Select all

x = 0, y = 0, rule = B3/S23
30.A$28.3A$27.A$20.A6.2A$19.A.A3.4b$20.A.5b$21.7b$21.4b2A4b.b$21.4b2A
3b.b2A$21.11b2A$21.9b.2b$16.2b2.10b26.b$15.2A13b24.bA3b$15.2A13b24.Ab
3A3.b$16.2b.11b24.5bA.b2A$19.9b.b2A21.b2A3bA2b2A$21.7b.bA.A20.A2.2bA
2b.b$20.7b5.A21.4Ab$19.8b5.2A5.2A$18.4b2.4b12.A8.A4.4Ab$17.4b4.4b10.A
7.3A3.A2.2bA2b.b$4.2A10.4b6.4b9.2A5.A6.b2A3bA2b2A$5.A9.2A2b8.4b10.bA.
b.2A6.5bA.b2A$3.A7.2b.b3A5.2A3.4b7.8Ab6.Ab3A3.b$3.2A6.3bAbAb5.A5.4b5.
A2.b.3A8.bA3b7.2A$.2A2.bAb.5b4Ab.bA.A6.4b4.4A3bA10.b9.A$A2.4A5b2Ab3Ab
.b2A8.4b7.3Ab11.4b2.bA.A$2A.A2.4bA2bAbA2bA2b11.4b4.Ab.A2b2.8b.5b.b2A$
.A.A.2A3bAbA2bA2bA2b12.4b3.2A2.b.6bA3b2A6b$.A.A.2Ab.bA2bA3b2A2b13.4b
6.7b3A3bA6b$2A.Ab.b3.2b2A7b14.4b4.7bA3b3A7b$3.A8.b.3A2bA2b14.4b2.AbA
5b2A3bA6b$3.A.A8.A4bA3b14.3b.b2A7b.8b$4.2A9.3b2.4b10.2b.6bA3.4b$13.A
3bA3.4b8.2A8b8.b$13.Ab7.4b7.2A7b8.bAb6.A$10.A3.A8.4b7.b.bA3b9.3A3.A2.
3A3.2A$10.4A10.4b8.bAbAb8.AbAbA2.3A3.A2.A$25.4b6.2b2A3b5.3A.b.3A4.2A.
A.A$10.2A4.2A.2A5.4b4.9b3.A4.2A3.4A.A.A2.2A$11.A4.A.2A.A5.4b2.4b3.4b
3.4A.2AbA3.b.A.2A.A$11.A.2A.A4.A6.5bA3b4.4b5.A.A.bAbAbA.Ab.A.A$9.2A2.
A.A.4A.2A5.2b2A2b7.4b3.A2.A.A2.2b5Ab.2A$10.A.A2.A.A2.b.A.A4.3b2A2b7.
4b3.3A.4A6.A.A$9.A2.2A5bA2bA.A4.7b8.4b5.A4.6A2.A$10.2A2.b2A2bAb.A.2A
2.7b2A8.4b3.A2.2A9.2A$12.2A2.4b3Ab.A2b.2b2Ab.2A9.4b3.2A.A.2A.3A$12.A
5.bA3.2A4b.AbAb13.4b5.A2.A.A2.A$13.A5.4A2.A2b2.bAb15.4b4.A.A4.2A$12.
2A8.A.2A5.4b14.4b4.A$19.2A.A.A8.2A15.4b$19.2A.A.A8.A17.3bA$23.A10.3A
15.3bA$36.A16.3Ab!
This is achieved by a finicky mechanism, but it allows for some streams to be multiplied by N+1, where N is some product of 2s and 3s (and maybe a 5 if you're feeling quinty).
Tanner Jacobi
Coldlander, a novel, available in paperback and as an ebook. Now on Amazon.

User avatar
Kazyan
Posts: 1247
Joined: February 6th, 2014, 11:02 pm

Re: Execution of Old Guns by Variable-Speed Firing Squad

Post by Kazyan » August 21st, 2021, 6:33 pm

Scorbie wrote:
December 1st, 2015, 9:23 pm
Not-too-useful-looking quarterspartan G-to-blinker:

Code: Select all

x = 27, y = 20, rule = B3/S23
11b2o6b2o$11b2o6bo$17bobo$17b2o$9b2o$3b2o3bo2bo$3bo4bobo$2obo5bo4b2o$o
2bob2o7bobo$2b2obo8bo$5bo12bo$5b2o9bo$20bo$18bo$22bo$20bo$24bo$22bo$
26bo$24bo!
This factory from almost six years ago looks to have some potential for multiplying the periods of very-low-period guns, p20, p21, and p22 in particular.
Tanner Jacobi
Coldlander, a novel, available in paperback and as an ebook. Now on Amazon.

hotdogPi
Posts: 1587
Joined: August 12th, 2020, 8:22 pm

Re: Execution of Old Guns by Variable-Speed Firing Squad

Post by hotdogPi » September 7th, 2021, 1:44 pm

A likely useful filter: 11+22n doubled

Code: Select all

x = 116, y = 122, rule = B3/S23
73bo$73b3o13bo3bo$76bo8b2obobobobob2o$75b2o8b3o2bobo2b3o$90bobo$26b2o
52bo9bobo$25bobo51bobo6bobobobo$19b2o4bo53bo2bo4b2o5b2o$17bo2bo2b2ob4o
50b2o6b2o3b2o$17b2obobobobo2bo57b2o5b2o$20bobobobo60b2o5b2o$20bobob2o
61b2o5b2o$21bo2$34b2o$25b2o7bo$25b2o5bobo$32b2o3$106bo$104b3o$2o101bo$
bo101b2o$bobo18b2o$2b2o19bo$20b3o21bo17b2o47b2o$20bo21b3o16bobo34bo13b
o$6b2o33bo21bo35b2o11bob2o$5bo2bo27bo4b2o55b2o4b2o4b3o2bo$6bobo26b2o
67b2o3bo3b2o$7bo27bobo71b4o$95b2o15bo$94bobo12b3o$3bo73bo16bo13bo$2bob
3o68b3o15b2o14b5o$7bo2b2o62bo38bo$2b2o3bo2b2o7bo41b2o11b2o11bo23bo$bo
4bo10bobo41b2o24b3o21b2o$2b4o12b2o19b2o49bo$89b2o$2b4o31b6o61b2o$bo4bo
22b2o4b2ob3obo61bo$2b2o3bo2b2o17b2o4b2o3bobo36bo21b2obo$7bo2b2o23b5o
37b2o21bo2bo$2bob3o28bobo38b2o23b2o$3bo31b2o38bo11bo$36bo13b2o24b5o5b
2o$50bobo24bo$52bo$52b2o$37bo35b2o3bo$36b2o35bo3bobo$35b2o2bo20b2o12bo
3bobo$40bo18bobo13bo3bobob2o$39bobo17bo13bob4o2bob2o$37b4o17b2o12bobo
3bobo$37b3o32bobo2bo2b2ob2o$38bo34bo3b2o2bobo$81bobo10b2o$82bo11b2o15$
57bo$58bo$56b3o18$66bo8bobo$66b3o7b2o$69bo6bo$68b2o2$74bo$74b2o$70bo3b
3o$69bob2o$68b2ob3o$69b5o6$68b5o$68b3ob2o$69b2obo$65b3o3bo$66b2o27b2o$
67bo27bo$96b3o$72b2o24bo$72bo$73b3o$75bo!
Maybe useful, maybe not: 38+76n doubled

Code: Select all

x = 89, y = 90, rule = B3/S23
78bo$76b3o$75bo$75b2o15$59b2o$60b2o$59bo5$67b3o$21b2o44bo2bo10b3o$22bo
44bo3bo6bo2b2o$20bo7b2o3b2o6bo29bo6bo2bo$18b4o6b2o3b2o5bobo24bo3bo6bo
2bo2bob2o$17bo23bo25bo2bo10bo2b3obo$16bo2b3o45b3o18bo$17b2o2bo57bo2b6o
$19b2o57bobo$19bo58bobobob4o$20bo54b2ob2ob2obo2bo$17b3o41b2o8b2o2bobo
5bo$17bo43bo10bo5b5o$46b2o14b10o8bo$19bo26bo12b3o2b6o2b3o$17b3o27b3o9b
o2bo2b4o2bo2bo$16bo16b2o14bo10b2o10b2o$15bobo14bobo$15bobo13b2o$16bo
16bo8b2o2b2ob2o$33bobo6bobo2bobobo$27b2o6b2o8b2o2bobo$28bo5b3o9bobobo$
25b3o15bo2bo2bo$2o23bo16bobob3o$2o14bobo24bobo$16b2o26bo2b2o$17bo27b2o
b3o$51bo$20b2o23b2ob3o$20bobo22b2obo$22bo$13b2o7b2o13b2o$13b2o13b2o7b
2o$29bo$3bob2o22bobo$b3ob2o23b2o$o$b3ob2o27bo$3b2o2bo26b2o$6bobo24bobo
14b2o$3b3obobo16bo23b2o$2bo2bo2bo15b3o$bobobo9b3o5bo$obo2b2o8b2o6b2o$o
bobo2bobo6bobo$b2ob2o2b2o8bo16bo$19b2o13bobo$17bobo14bobo$17b2o16bo$
32b3o$32bo2$34bo$2b2o28b3o$2b2o27bo$32bo$31b2o$30bo2b2o$30b3o2bo$34bo$
17b2o3b2o6b4o$17b2o3b2o7bo$29bo$29b2o!
EDIT: 56P27 lets out two of every three

Code: Select all

x = 90, y = 73, rule = B3/S23
47bo2b2o$18b2o7bo6bo4bo7b4obo$19bo7bo5b2o17bo$19bobo5bo4b3o10b7ob2o$
20b2o3b2o4b2obob2o6bo6bobo2bo$29bo2bo2b2obo5b2o2b2obo3b2o$24bob2o2bo2b
o14b2ob2o$25b2obob2o4b2o3b2o$28b3o4bo5bobo$28b2o5bo7bo4b2o$22bo5bo6bo
7b2o3b2ob2o$23b2o14b2o6b2obo$2o13b2o5b2o16bo$bo6b3o3bo2bo22bobo$bobo5b
o3bo27b2o$2b2o4bo4bo2bob2o$9bo2bobob3o8bobo7bo18bo$8b3obobo2bo10b2o5b
2o17bobo$7b2obo2bo4bo4b2o3bo8b2o16b2o$13bo3bo5bobo10bo$9bo2bo3b3o6bo$
10b2o13b2o6bo17b2o$34b2o15bo$33b2o17b3o$54bo$39b3o$41bo$40bo$22bo7b2o$
18bo2bo8bo$12b2o4bo4bo4bobo3b2o$11bo2bo13b2o3bobo$11b2ob2o8bo10bo$12bo
8b2ob2o$7b2o13bo2bo$6bobo4bo4bo4b2o$6bo8bo2bo9b3o$5b2o7bo15bo$29bo10bo
$41bo6b2o$36b2obo8bo$30b2o4b5o5bobo$29bo2bo5b4o4b2o$29bo2bo7bobo32b2o$
30bobo7bo2bo31b2o$25b2o4b4o5bo2bo$24bobo5b5o4b2o30bo$24bo8bob2o35bobo$
23b2o6bo$32bo39b2o$71bobo$70b3o$71b2o$81bo$80b3o$80b2obobo$60b2o20b2o
2bo$60b2o23bo$64bo23b2o$63bo2b2o20b2o$64bobob2o$67b3o$68bo$77b2o$77b3o
$76bobo$76b2o2$75bobo$76bo2$73b2o$73b2o!
User:HotdogPi/My discoveries

Periods discovered: 5-16,⑱,⑳G,㉑G,㉒㉔㉕,㉗-㉛,㉜SG,㉞㉟㊱㊳㊵㊷㊹㊺㊽㊿,54G,55G,56,57G,60,62-66,68,70,73,74S,75,76S,80,84,88,90,96
100,02S,06,08,10,12,14G,16,17G,20,26G,28,38,47,48,54,56,72,74,80,92,96S
217,486,576

S: SKOP
G: gun

User avatar
Kazyan
Posts: 1247
Joined: February 6th, 2014, 11:02 pm

Re: Execution of Old Guns by Variable-Speed Firing Squad

Post by Kazyan » September 8th, 2021, 2:15 pm

A slightly smaller p572 gun (4056 -> 3976):

Code: Select all

x = 71, y = 56, rule = LifeHistory
47.A$46.ABA7.2A4.BA$21.2A24.4B4.3B.BABABA2.2A$21.A.A21.AB.2ABABABA4BA
5B.BA$23.A4.2A15.2A2.BA2BAB.3A4.2ABA$19.4A.2A2.A2.A18.BA4.2B7.B2A$19.
A2.A.A.A.A.2A24.B9.B$21.BABABA.A25.2B$22.B2ABA.A17.2A4.6B.2B$23.2B.BA
14.2A3.A3.9B2A$22.3B17.A2.A6.8B2A$13.2A6.4B19.3A6.B3AB.2B$14.A6.B2A3B
21.2A3.5B$14.A.AB3.B2A3B19.2A.AB2.A3BA2.B$15.2AB.10B13.2A.A.3B2.BA3BA
4B.B3.3B$17.13B12.A.2A.4BA7BA10B$17.14B15.3B2A4BA4B2A7B2A$17.15B14.3B
A4BABA4BA7B2A$19.8B2.4B13.3BA3BA3BA3BA6B.B$19.6B5.4B7.A5.3B2ABA3BAB2A
6B$18.9B4.4B5.A.A6.3BA5BA6B$17.4B4.2A5.4B4.BA2B.3B.3BA5BA6B$4.2A10.4B
5.A7.4B4.2B.6B2ABA3BAB2A6B$5.A9.4B7.3A5.4B4.7BA3BA3BA3BA6B.B$3.A7.2B.
4B5.3A2.A6.4B2.8BA4BABA4BA7B2A$3.2A6.7B5.A2.A9.4B.8B2A4BA4B2A7B2A$.2A
2.BAB.2B2A6B.BA.A2.2A9.4B.9BA7BA10B$A2.4A3BA2BA5B.B2A15.3B.4B.B.4BA3B
A4B.B3.3B$2A.A2.5B2A8B14.2B.7B5.B2.A3BA2.B$.A.A.2A14B13.2A8B9.5B$.A.A
.2AB.12B13.2A7B10.B3AB.2B$2A.AB.B3.11B6.A7.B.5B10.8B2A$3.A8.B.8B5.3A
7.ABA2B9.9B2A$3.A.A8.9B7.A5.B2A4B9.6B.2B$4.2A8.10B5.2A4.3BA.4B10.2B$
11.2A.4B3.4B4.9B3.4B11.B8.BA$11.A.4B5.4B5.6B5.4B10.2B5.B2A.A$8.2A.A.
2B2AB5.4B2.8B6.4B4.2A2.3A4.2A.A.A$6.A2.A.2A2B2A7.15B5.4B4.A2.3BA3.4B.
A.2A$6.2A.A.3B11.14B6.4B3.A.A.4B.4BABA2.A$9.A5.2A9.13B7.4B3.2A3.2AB3A
BA2.2A$9.2A5.A10.10B.B2A6.4B4.2A2.B2.A.B.2A$14.A13.4B2AB3.BA.A6.4B3.A
4.2A.A3.A$14.2A11.5B2A2B5.A7.4B3.A4.A.4A$27.8B6.2A7.4B3.A3.A$29.6B16.
4B3.A3.3A$29.5B18.4B3.A4.A$30.3B20.4B3.A$29.5B20.4B3.A.A$29.2AB2AB20.
4B3.2A$25.2A2.BA.2A2.2A18.4B$25.A2.A.A3.B2.A19.4B$27.2A.7A21.4B$29.A
29.3BA$29.A.4A25.3BA$30.2A2.A26.3AB!
EDIT: A similar design works for p598 (4819 -> 4455). It's possible that this could be smaller with different combinations of x2 multpliers, or a quadri-snark+bumper/snark/bouncer/etc.

Code: Select all

x = 81, y = 55, rule = LifeHistory
34.2A14.2A5.2A$35.A2.2A.A4.2A.B2AB3.B2AB.2A$35.A.A2.2A4.2A.3B5.3B.2A$
24.A11.A.A8.7B.7B$24.3A11.A.4A5.5B.5B$27.A8.B2A.A2.A5.5B.5B$26.2A7.5B
8.6B.6B$26.5B4.4B10.5B.5B$28.11B.B7.6B.6B$18.2A2.AB3.11B.B2A6.6B.6B$
18.A2.A.AB.14B2A6.6B.6B$19.A.2A15B.2B7.2B3AB.B3A2B$20.A3.15B9.2B3AB.B
3A2B$21.2A8B2A7B8.BAB2AB.B2ABAB$16.2A4.A.7BABAB2.4B7.BAB2AB.B2ABAB$
16.2A2.A4.7BAB4.4B6.2B2A2B.2B2A2B$8.2A10.2A3.B2A4B7.4B5.3BA2B.2BA3B$
7.B2AB5.4A4.2B2A3B9.4B5.5B.5B16.2A$8.3B4.A3.A3.4B.5B8.4B3.6B.6B15.A.A
$2A5.B.B5.2A5.4B5.2A9.4B3.5B.5B17.AB$.A5.10B4.4B6.A11.4B2.3B2ABABA2BA
B.B.9B2.2B$.A.AB2.8B5.4B8.3A9.3B.3BA3BA3B2A6B3A10B$2.2AB.11B2.4B11.A
6.2B.5B2AB3A5BA4BA4BA8B2A$4.18B18.2A7B2AB2AB3.2BA4BA5BA7B2A$4.5B2A10B
19.2A7B.BAB5.A2BA8BA7B.B$5.4B2A9B21.B.5B2.2B5.BA2BA6B2A7B$5.14B24.5B
9.B2ABA$5.14B23.7B9.10B2A7B$4.A.14B21.4B.4B6.B.3BA8BA7B.B$3.A.A5.5B.
4B19.4B3.4B4.2A8BA5BA7B2A$4.A7.4B2.4B6.A10.ABAB5.4B3.A9BA4BA8B2A$12.
2B5.4B5.3A7.B2AB7.4B3.3BA.6B3A10B$11.4B5.4B7.A5.3BA9.4B2.A2BA3.B.9B2.
2B$11.B2AB6.4B5.2A4.4B11.4B22.AB$12.2A8.4B4.9B13.4B20.A.A$23.4B5.4BAB
15.4B19.2A$24.4B2.6B2A16.4B$25.4BAB6ABAB15.4B$26.B2A2B2ABA2B3A16.4B$
27.BA4BA4B2A17.4B$28.B2A5B2A.3A16.4B$29.2BA3BA3.BA.A16.4B$28.3BABABAB
5.A17.4B$28.4B3AB6.2A17.4B$30.3BA2B26.4B$30.5B28.4B$31.3B30.4B$30.5B
30.4B$30.2AB2AB30.4B$26.2A2.BA.2A2.2A28.4B$26.A2.A.A3.B2.A29.4B$28.2A
.7A31.4B$30.A39.3BA$30.A.4A35.3BA$31.2A2.A36.3AB!
Tanner Jacobi
Coldlander, a novel, available in paperback and as an ebook. Now on Amazon.

Book
Posts: 385
Joined: August 28th, 2021, 2:38 pm
Location: California
Contact:

Re: Execution of Old Guns by Variable-Speed Firing Squad

Post by Book » October 3rd, 2021, 3:23 pm

I 've just spent a couple of weeks working through this topic since its inception 6 1/2 years ago. It's been an epic journey. Along the way, I've learned a lot and added many guns to my collection (https://GOLHobby.com). I'm a pattern collector, not a pattern engineer. I salute the brilliant pattern engineers who contributed to and collaborated on this topic.
Phil Bookman

User avatar
Kazyan
Posts: 1247
Joined: February 6th, 2014, 11:02 pm

Re: Execution of Old Guns by Variable-Speed Firing Squad

Post by Kazyan » October 3rd, 2021, 6:04 pm

A smaller p880 by flipping the position of the p16, but also by making a slightly more ergonomic form of the of quadri-snark:

Code: Select all

x = 49, y = 47, rule = LifeHistory
29.A2.2A$29.4A.A$34.A$27.7A.2A$26.A2.B3.A.A2.A$26.2A2.2A.AB2.2A$29.B
2AB2A6.2A$30.5B5.B2A2B$31.3B7.2A2B$23.2A5.5B6.BA2B$22.A2.A3.4BAB5.BAB
A$20.BA.A.A3.3BABA2B3.2ABA$20.3A.A3.4BABA2B2.4B$20.3AB5.4BA2B3.4B$21.
3B3.11B.2B2AB$24.15B2.2A$24.15B$25.15B$21.A5.8B2.4B$19.3A4.7B5.4B$18.
A7.9B4.4B$18.2A5.4B4.2A5.4B$15.5B4.4B5.A7.4B$12.6B5.4B7.3A5.5B$3.2A6.
9B2.4B10.A6.6B$.3A.A4.B3A11B18.6B$A4.A3.2B3A6B3AB19.5BA$.3A.2A2.8BA4B
A13.10BABA$3.2A.BAB3.5BA3BA5.A7.4BA3B2A2B2A$5.B2AB3.4BA3B6.A.A.2A3.2B
2ABA5B2.B$4.3BA2B3.2BA3BAB5.A.A.A3.3B3A6B$3.AB3.AB4.BAB2A3B3.2A.A.A2.
3BA6BA3B$3.A.4A5.2BA5B.2BA2.A.2A2.BA.BABABA.AB$4.A10.11BABA.A5.3ABAB
2A$6.A9.4B.4BAB.B2.A$5.2A8.3B4.3B2AB3A5.3ABAB2A$10.B3.2B7.2B.A7.BA.BA
BABA.AB$9.2A7B4.B2ABA.3A2.3BA6BA3B$9.2AB2A2BABA3.B6A2.A2.3B3A6B$10.3B
A.2AB.A3.A.B4.A4.2B2ABA4B$8.3B.B2ABAB2A4.6A5.4BA3B2A$8.2A4.B2A6.2AB2.
A7.8B$9.A6.A.2A2.B2A.A3.A$6.3A5.A.A.2A3.8A$6.A7.2A7.3B$25.2BA.2A$26.
2A.2A!
EDIT: Smaller p27 gun based on the similar p25 design (6030 -> 5400).

Code: Select all

x = 90, y = 60, rule = LifeHistory
30.A9.A14.A$30.3A5.3A12.3A$33.A3.A14.A16.2A17.2A$2A17.2A11.2A.B.2A13.
2A14.A2.A7.2B7.A$.A7.2B7.A2.A10.7B3.3B4.5B13.A.2A2.AB2.6B2.BA.A$.A.AB
2.B4AB2.BA2.2A.A11.BAB3.6B3.3B15.A3.3AB.8B.B2A$2.2AB.B6AB.B3A3.A10.BA
BAB2.6B2.6B11.2A.A.A3.2B2A4B2A2B$4.2B8A2B3.A.A.2A7.7B2.4BA2BA5B11.A2.
A.2A.3B3A2B3A3B$3.2B2A6B2A2B.2A.A2.A7.2B3A2B.8BA5B8.2A.A2.A5.2B2A4B2A
2B$4.2B8A2B5.A2.A.2A3.14BA3BA5B8.A.4A.4AB.8B.B2A$2.2AB.B6AB.B4A.3AB.A
4.16B2A6B8.A.A4.A2.AB2.6B2.BA.A$.A.AB2.B4AB2.BA2.A4.A.A5.2B3A2B2.6B2A
6B9.2A.2A2.A7.2B7.A$.A7.2B7.A2.2A.2A6.7B2.12B.B2A8.B2A.2A8.B2A.2B3.2A
$2A3.2B.3B8.2A.A2B8.BABAB3.2B2A8B.BA.A7.B9.4B5AB$5.10B9.B9.BAB4.2B2A
7B5.A5.2A.2A.2A3.10BAB$4.12B3.2A.AB.2A5.7B3.5B.4B5.2A4.A.2AB.B3AB3A2B
2A3BAB$4.9B2A4B2A.2AB.A5.2A.B.2A4.3B3.4B11.A2.2B2.2A3B2A2B3ABAB$4.9B
2A4B2.2A2.A7.A3.A5.3B4.4B11.2A2.B3AB2A3BA5B$5.5BA8B2A2.2A6.A.A.A.A.A
3.3B5.4B11.A2.2A3.2BA6B$7.B2AB2A3B3.2A2.A6.A.A.2A.2A.A.2A.2A5.4B9.A9.
2B2A4B$7.B2AB2A2B9.A5.A.A7.A.2A.2A6.4B8.2A7.10B$6.B2A2B2A3B7.2A6.A2.
4A.A4.B9.4B15.13B$4.3B2AB2A5B15.2A3.A.2A.2AB10.3BA13.14B$4.4BABA7B16.
A2.B2.A.2A.2A.A7.ABAB11.15B$4.5BA9B15.4AB3A.B.A.2A8.2A2B9.4B2.8B.B2A$
2.2AB.8B2.4B19.A2.A.A13.4B7.4B5.6B.BA.A$.A.AB.6B5.4B15.3A3.2A15.4B5.A
3B4.5B7.A$.A7.5B4.4B14.A23.4B3.BABA5.2A10.2A$2A10.2A5.4B38.4B.2B2A7.A
$12.A3.A3.8B33.3B.4B5.3A$13.4A4.3BA20B2A21B6.A$22.3BA18B4A19B16.A$15.
4A3.B3A17B2AB2A18B10.2A3.3A$14.A3.A2.23B2A19B10.A.A2.A$2.2A10.2A5.45B
5.2A.A.B.2B2AB3A$3.A7.5B4.4B2.4B30.5B6.A.2A.AB.B2.A2.A$3.A.AB.4BAB5.
4B4.4B30.4B10.3A.2A.A3.2A$4.2AB.2B5AB2.4B6.2BAB30.2B2A9.A4.A.4A2.A$6.
4B2A5B2A2B8.2B2A30.2A2B6.2A.2A.A7.A.A$6.4BABA7B10.2A2B30.BA2B5.2A.2A.
A.2A.2A.A.A$6.3B2A2BA4BA12.4B30.4B5.3B3.A.A.A.A.A$8.2ABA4B2A7.2A5.4B
30.4B4.BAB5.A3.A$9.B5A2B9.A6.4B30.4B3.3A4.AB.A.BA$9.BABABA3B3.2A2.A8.
4B23.2A5.4B.B3AB3.A5BA$7.14B2A2.2A8.3BA23.A5.11B4.3B$6.6BA8B2.2A2.A8.
ABAB22.A.AB.8BA3B3.A3BA$6.6BA8B2A.2AB.A8.2A2B22.2AB.5B4ABAB2.2B3A2B$
6.12B3.2A.AB.2A9.4B23.7B3A2BAB2.7B$7.10B9.B12.4B22.9BAB3A10B$2.2A3.2B
.3B8.2A.A2B13.4B21.11BABA10B$3.A7.2B7.A2.2A.2A13.4B21.12BAB.7B$3.A.AB
2.6B2.BA2.A4.A.A13.BABA20.9B4A2.2B3A2B$4.2AB.8B.B4A.3AB.A14.B2AB19.6B
2.B3A2B2.A3BA$6.3BA4BA3B5.A2.A.2A14.A3B20.3B3.2BA3B3.3B$5.2B2AB4AB2A
2B.2A.A2.A18.4B17.5B4.3B3.A5BA$6.3BA4BA3B3.A.A.2A19.4B16.2A13.AB.A.BA
$4.2AB.8B.B3A3.A22.4B16.A14.A3.A$3.A.AB2.6B2.BA2.2A.A23.3BA12.3A12.3A
5.3A$3.A7.2B7.A2.A25.3BA11.A14.A9.A$2.2A17.2A27.3AB!
EDIT 2: An improvement to the p35 design (13786 -> 12282). I'm also storing the old design below, for archival purposes; I think it's was the only gun that still used its 2G->H mechanism.

Code: Select all

x = 138, y = 89, rule = LifeHistory
102.A16.2A$102.3A13.A2.A$105.A12.A.A2.A2.A$104.2A11.2A.A.5A$104.5B6.
2BA.BA$106.3BAB4.3BAB.4A$105.3BABA6BA2B2A.B.A$104.4BA2BA2B.3BAB.3A.A$
105.4B2A3B.2BA.BA3.A$106.6B5.2A.A.2A$107.5B6.A.A.A$106.7B5.A.A2.A$
105.4B.4B5.A2.2A$104.4B3.4B$103.4B5.4B$102.3AB7.4B$101.3BA9.4B$100.3B
A11.4B$99.4B13.BABA$17.2A16.A62.4B15.B2AB$16.A2.A13.3A61.4B17.A3B$11.
A2.A2.A.A12.A63.4B19.4B13.2A$11.5A.A.2A11.2A61.4B21.4B12.A$17.AB.A2B
6.5B60.4B23.4B5.B2.BA.A$13.3AB.3A2B4.5B34.A.A24.4B25.4B3.3B.B2A$12.A.
B.B4A4B2ABA4B33.2A.A10.2A10.4B6.A20.4B.6B$12.A.2AB.3A2B.3AB3A3B28.A.
2A3.A11.A9.4B6.A.A20.10B$13.A3.AB.A2B.2ABABA3B29.2A.A.2A.2A7.A10.4B5.
3A.A21.5B2A2B$14.2A.A.2A5.3A3B34.A.A.A.A6.5A5.4B5.A4.2A21.3BA2BA$15.A
.A.A6.3A2B36.2B2.2A2.A8.A4.4B5.A.2A.A21.4BABAB$14.A2.A.A5.7B35.AB2A2.
3A5.3AB2.7B.BA.A2.A.A.A18.6BAB$14.2A2.A5.4B.4B34.A.2B2A7.A.2B3.3B2A2B
.B2A2.A2.A3BA15.4B2.3B$23.4B3.4B34.BAB2.A6.4A6B3A3B5.2A3.BA14.4B3.3B$
22.4B5.4B34.B4A4.2A2.BA3B2A2BA4B7.3AB14.A3B6.B$21.4B7.4B32.2BA3.2A.A
2.3AB.2B2A7B7.A.2BA6.2A4.BABA5.5B$20.4B9.4B30.2A2B2A2.A.2A.A.B3.10B9.
ABA2.2A2.A4.2B2A6.5A$19.4B11.4B29.BA2.B.2A5.A8.8B9.A3.A.A.A3.4B6.A5BA
$18.4B13.4B29.2A2B.A6.2A7.9B4.B3.B4.B.A3.4B5.3A.3B.3A$17.4B15.4B28.BA
.A.A16.3B2.9B2.3B.2B4.4B5.A3.5B3.A$16.4B17.4B28.3A.A.2A11.5B3.9B.7B2.
4B7.4A.A.3A.A$2A13.4B19.4B28.AB.A.A12.2A7.16B.4B12.3A3.A$.A12.4B21.4B
26.A2BA2.A13.A7.20B8.A.2A.B.B.A$.A.AB2.B5.4B23.4B19.2A4.2A.A.A11.3A7.
11BA9B8.2A.A.ABA.2A$2.2AB.3B3.4B25.3BA18.A.A3.2B.A.2A10.A10.9B3A8B12.
A2.A.A$4.6B.A3B20.A6.B2AB10.2A7.A3.2ABA24.8B5A8B12.2A2.A$4.6BA3B20.A.
A6.ABAB9.A8.2AB.A2BA23.8B2A3B2A8B15.2A$4.2B2A2B3A21.A.3A5.4B10.A8.4B
2.2A20.8B2A5B2A6B2A$5.A2BA3B21.2A4.A5.4B5.5A6.3A.4A2.A18.4B.5B2A3B2A
7B2A$5.BABA4B21.A.2A.A5.4B4.A10.A2.2AB3.A.A17.4B5.3BA3BA9B$6.BA6B18.B
.A.A2.A.AB.7B2.B3A7.A.2A.4A.A17.4B6.16B$6.3B2.4B15.BAB2A2.A2.2AB.7B3.
2B.A5.2A.AB2A2.A18.4B5.7B2A9B$6.3B3.4B14.BA3.2A5.12B4A7.A.A.B3.A16.A
3B5.6B6A6B$6.B6.4B14.AB2A7.7B2A3BAB2.2A5.A.BA3.2A15.BABA6.6B2A2B2A7B$
4.B3AB5.4B4.2A6.2BA.A7.7B2A2B.B3A2.A3.2A.B3AB16.2B2A8.4BA6BA7B$4.5A6.
4B4.A2.2A2.A2B9.10B3.B.A.2A2.A2.8A13.4B4.2A2.6B2A2B2A8B$3.AB3ABA6.4B
3.A.A.A3.A9.8B8.A6.2A2.A.BA2.A11.4B4.BA2BA.5B6A7B$.3A.3B.3A5.4B3.A.B
4.B3.B4.9B7.2A8.4A2B.A2.A8.4B6.4B2.6B2A9B$A3.A3BA3.A5.4B4.2B.3B2.9B2.
3B16.2A2.2B2A.A.2A7.4B7.A3B3.17B$A.3A.A.4A7.4B2.7B.3B2A4B3.5B13.A2.A
3B.BA.A8.4B7.BA.2A2.14B.B2A.A$.A3.3A12.4B.10B2A4B7.2A12.A.A.A.3B.B.A
7.4B6.3B.AB3.B2AB2.B2.B5.B2AB3A$3.A.A.A.2A.A8.BABA11BA3BA7.A13.A.A.2A
5B.2A5.4B5.4B2A6.2A5.3B6.B4.A$2.2A.BAB.A.2A8.2B2A9BA5BAB7.3A8.2A2.2A.
2BA2B2A2.A3.4B5.A.4AB12.B2AB5.2A.3A$3.A.A2.A12.2BA12BA3BA10.A9.A.A2.A
B.ABA3.A3.4B4.5A2B15.2A7.A.A$3.A2.2A12.15B2A4B20.A.4A.2AB.3A3.4B4.A4.
3B24.A.A$2.2A15.A2BA5BA7B2A4B18.2A4.A.3A.A4.4B5.A.2ABAB.A24.A$18.BA4B
2A2BA14B17.A2.4A4BA4.4B5.2A.A2.B.A.A$18.A9BA10B.4B17.2A.A.BA4B3.4B9.A
.2A.A.A$19.A4B3A9B5.4B24.BA3.4B3.A3.2A.A2.A.2A$20.16B6.4B23.B.B.A3B3.
A.A.A.A.A.A$20.B2AB2A12B5.4B19.6BA3B4.A.A.A4.A$21.3B2AB2A10B5.4B13.AB
3.6B3A4.2A.A.2A$20.4BA3BA2B2A6B6.4B11.A.A3B2A11BA.BA3.A$19.2A4B2A2BA
2BA5B8.4B11.A4B2A8B.3BAB.3A.A$19.2A8BA9B2.2A4.4B11.B.15BA2B2A.B.A$20.
7B2A9B.2B2AB4.4B13.15BAB.4A$20.17B2.4B6.4B15.8B.2BA.BA$19.17B3.2BAB7.
4B14.7B4.2A.A.5A$17.A.2AB.14B2.BA.AB7.4B12.7B6.A.A2.A2.A$15.3AB2AB5.B
2.B2.B2AB3.2A.A2B6.BABA11.5B8.A2.A$14.A4.B6.3B5.2A6.2ABA2B5.B2AB9.7B
8.2A$15.3A.2A5.B2AB12.5A.A5.A3B4.B2.3BA3B$17.A.A7.2A15.ABAB3A4.4B.7BA
BA2B$17.A.A24.2BA4.A4.11BABA2B$18.A24.A.3B2A.A5.11BA3B$42.A.A.A2.A.2A
5.12B.B2A$42.A.A.2A.A9.10B2.BA.A$43.2A.A2.A10.3BA3B7.A$47.2A12.3BA2B
7.2A$62.3AB!

Code: Select all

#C Old design
#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH gun_35 costs 13786 cells.
#C period 35 fullperiod 70 bbox 122 by 113
#CLL state-numbering golly
x = 122, y = 113, rule = LifeHistory
55.B3.B$54.3A4B$51.2B.4A3B.2B$50.4A3B2A4B2A$50.3A.2A2B2AB.B2A$51.B
.B4A4B.B$54.3B.3B2$54.3B.3B$51.B.B4A4B.B$50.3A.2A2B2AB.B2A$50.4A3B
2A4B2A$51.2B.4A3B.2B8.2A5.2A$54.3A4B10.B2AB3.B2AB$55.B3.4B8.B2A5.
2AB$59.4B9.A.B3.B.A$58.6B6.2AB2AB.B2AB2A$57.6B2A4.B2AB2AB.B2AB2AB$
56.4B2.BABA4.2A2BAB.BA2B2A$55.4B4.A3B3.B2ABA3.AB2AB$54.4B6.4B2.2B
2A2B.2B2A2B$53.4B8.8BA2B.2BA4B$52.4B10.10B.6B$51.4B11.4B2.B.B3.B.B
$50.4B11.5B.3B5.3B$49.4B11.4B3.B2AB3.B2AB$48.4B11.4B5.2A5.2A$47.4B
11.4B$38.6B2.4B11.4B$31.A.2A2.8BA3B11.4B$31.2A.A10BABA11.4B$36.9B
2A11.4B$36.4B2A5B10.4B$37.3B2A5B9.4B$37.10B8.4B$38.9B7.2A2B$38.9B
6.ABAB$38.8B6.3BA$39.8B4.4B$38.2A6B4.4B$37.2B2A5B3.4B$36.2BA7B2.4B
$35.11B.4B$34.4B.6B.4B$33.4B3.9B$32.4B4.8B$31.4B4.8B$30.4B5.B2A4B$
29.4B6.4BAB$28.4B6.2BA2BAB3.2A3.A$27.4B7.3B2A2B4.A2.A.A12.A30.A$
26.4B4.2B.4B2A2B2.A4.A.A10.3A28.3A$25.4B3.8BA2BAB2.5A.A10.A19.A10.
A25.B$3.2A5.2A12.4B4.8BA4B6.A12.2A17.A.A9.2A23.2A$2.B2AB3.B2AB10.
4B4.10B3AB2.2AB2.A9.4B17.A.A6.5B22.ABA$2.3B5.3B9.4B6.12B3.A.A2B.A
7.3B17.3A.2A3.5B12.A10.3BA$3.B.B3.B.B9.A3B6.10B7.A2B.2A7.4B15.A4.B
4.6B9.3A9.4B$.6B.6B6.B2AB5.B.11B5.3B10.5B9.A6.3AB2AB.7B8.A11.4B$4B
A2B.2BA4B4.BABA5.2A14B.B.2B11.6B8.3A6.A.2AB2.6B.2B5.2A9.4B$.2B2A2B
.2B2A2B4.4B6.2A19BABA4B2.8B11.A7.7B3A11B8.4B$.B2ABA3.AB2AB3.4B8.
20BABA3BA11B9.2A3.B5.5BA2BA8B9.4B$.2A2BAB.BA2B2A2.4B9.19B2A16B10.
8B2.5BA3BA5B2A2B7.4B$B2AB2AB.B2AB2A5B14.16BA7B.7B13.14BA2BA4BA2BA
2B5.2A2B$.2AB2AB.B2AB2A4B15.2A16BABABA10B12.14BABA6B2A3B4.2B2A$3.A
.B3.B.A2.4B12.B.B2A6B2.2B2.BA2BAB3A10B11.19B3.9B.2BAB$2.B2A5.2AB.
5B10.2A8B11.A3BA12B8.21B4.12B$2.B2AB3.B2AB3.4B9.2AB.4B15.15B.2B2.
25B4.10B$3.2A5.2A5.4B9.B3.2B17.21B2A2BA11B4.3BA3.9B$18.4B13.2B16.
8B.11B3A2B2A2B.6B6.3BA.9B$19.4B11.B2AB13.8B3.2B2A8B2A2B3AB2.B.5B5.
3AB.7B$20.4B11.2A14.2A3.B5.2B2A8B2A2B2A2B7.2A6.10B$21.4B27.A10.18B
8.A8.4B3AB$22.4B23.3A12.B.3B.4B16.3A6.5BA$23.4B22.A19.4B19.A7.3BA$
24.3BA40.4B27.6B5.2A5.2A$25.B2AB38.4B27.8B3.B2AB3.B2AB$26.ABAB36.
4B27.4B2.5B.3B5.3B$27.4B34.4B27.4B4.4B2.B.B3.B.B$28.4B32.4B27.4B5.
6BA3B.3BA2B$29.4B30.4B27.4B5.6B3A2B.2B3A2B$30.4B28.BA2B27.4B5.4B2.
BA4B.4BAB$31.4B26.2A2B27.4B5.4B3.2B3A3.3A2B$32.4B24.2B2A6.2A5.2A
12.4B5.4B4.6B.6B$33.4B22.4B6.B2AB3.B2AB10.4B5.4B4.6BA.A6B$34.4B20.
4B7.3B5.3B9.4B5.4B6.6B.6B$35.4B18.4B9.B.B3.B.B9.4B5.A3B9.B.B3.B.B$
36.4B16.4B8.6B.6B6.4B5.A3B9.3B5.3B$37.4B14.4B8.2B3A2B.2B3A2B4.4B5.
B3A10.B2AB3.B2AB$38.4B12.4B10.BA2BAB.BA2BAB4.2A2B5.4B12.2A5.2A$39.
4B10.4B11.2BA2B3.2BA2B3.ABAB5.4B$40.4B8.4B12.3BABA.ABA3B2.3BA5.4B$
41.4B6.4B12.7B.11B5.4B$42.2B2A4.4B14.4B2A.2A8B5.4B$43.2A2B2.4B17.B
.B3.B.B2.4B4.4B$44.BA6B17.3B5.3B.5B2.4B$45.6B18.2BAB3.BA2B3.8B$46.
4B20.2A5.2A5.6B$42.B3.4B35.4B$41.7B33.B3.4B$38.2B.2BA4B.BA29.7B$
37.2A3B2A7BA25.2B.3A4B.2B$37.2AB.BABA3B.B2A24.2A2BA2BA5B2A$38.B.3B
3ABAB.B25.2AB.2AB2A2B.B2A$41.3B.3A29.B.3BABA3B.B$80.3B.3B$41.3B.3A
$38.B.3B3ABAB.B29.3B.3B$37.2AB.BABA3B.B2A25.B.3BABA3B.B$37.2A3B2A
7BA24.2AB.2AB2A2B.B2A$38.2B.2BA4B.BA25.2A2BA2BA5B2A$41.7B29.2B.3A
4B.2B$42.B3.B33.7B$81.B3.B!
Tanner Jacobi
Coldlander, a novel, available in paperback and as an ebook. Now on Amazon.

Sokwe
Moderator
Posts: 2645
Joined: July 9th, 2009, 2:44 pm

Re: Execution of Old Guns by Variable-Speed Firing Squad

Post by Sokwe » October 26th, 2021, 6:53 am

Kazyan wrote:
October 3rd, 2021, 6:04 pm
An improvement to the p35 design (13786 -> 12282).
This can be reduced further with improved p5 sparkers. For example:

Code: Select all

x = 128, y = 87, rule = B3/S23
88bo16b2o$88b3o13bo2bo$91bo12bobo2bo2bo$90b2o11b2obob5o$102bo3bo$95bo
6bo4bob2o$94bobo5bo3b2o3bo$94bo2bo4bo4bobobo$95b2o5bo3bo3bo$103b2obob
2o$104bobobo$104bobo2bo$105bo2b2o4$101bobo$21b2o16bo46b3o13b2o$20bo2bo
13b3o48bo13bo$15bo2bo2bobo12bo50bo$15b5obob2o11b2o$21bo2bo$17b3o2b3o
43b2o$16bo4b4o4b2obo35bo2bo$16bob2o2b3o3b3ob3o34b5o14b2o$17bo3bo2bo3b
2obobo40bo13bo37b2o$18b2obob2o5b3o38b3o12bobo37bo$19bobobo6b3o37bo15b
2o36bobo$18bo2bobo46b4o23b2o25b2o$18b2o2bo45b2o3bo3b2o18bo$65bobo2b3o
4b2o15b2obo21bo$65b2obobo23bo2b3o18b3o$68bobo24b2o3b2o15bo$61b2o2b2obo
b2o14b2o9b2obo15b2o$61bo2bo2bo18bobo8bob2o7b2o$62bobobo19bo13bo3b2o2bo
11bo$61b2ob2o12b2o24bobobo$58b2o9b2o8bo27bo$58bob4o4bobo5b3o41b3o$60bo
3b2o2bo7bo42b5o$46bo9bo3bobo3bob2o48bob3obo$38b2o6b2o6b5obob3obo2bo46b
3o5b3o$2o13bo23bo5bo2bo4bo5bobo2b2obo47bo3bo3bo3bo$bo12bo24bobo6bo5b3o
2bo2b2o3b2o46bob3obob4o$bobo10b3o23b2o3b2o2b2o6bob3o2bobo49bo3b3o$2b2o
25b2o14b2o4bo2b4o4b4ob2o32bo16bobobob2obo$30bo14bobo2b3obo3bobobo4bo
32bobo9b2o3b2o2bo2bob2o$30bob2o11b2o4bo3b3ob2ob2o3bo31b2ob2o8b2o4bobo
2bo$6b2o19bob2o2bo11bo3b2o6bo4bo2bobob2o47bo2b2o$5bo2bo18bo3b2o10b3o2b
o8bob2obo2b3o2bo15bo30b2o$6bobo18bob2o13bobobo7b2obo2bobo3b2o16bobo$7b
o10b2o8bobo14b3o9bo3bo2b3o19b2o$19bo2b2o2bo19b3o8bobob9o30bobo$19bobob
o3bo20b2o8bobo3bo2bo2bo28bobob2o$20bo27bo11bob4o3bo2bo16b2o9bobo$49b3o
7bobo4b2obob2o16b2o$4b5o23b2o17bo7bo2bo5bobo18b2o$3bo5bo21b2o22bob2obo
bo7bo17b3o$b3o5b3o6bobo11bo3bo18b2obobob2o6b2o15bob2o20b2obo$o11bo6b2o
9bo5bo23b2o3bo2b2o2bo10b2obobo3bo3b2o13b2ob3o$b4obob3obo6bo12bo3bo22bo
2bo2bobo3bo11b2obo2bo6b2o19bo$5b3o3bo19b2o26b4ob2o2b3o15bob2o3bo9b2o6b
2ob3o$ob2o5bo5bo2bo5bo7b2o28bob3obo17bo2bo3bo9b2o7bobo$2obobobob2o4bo
4b2o2bo32b6o4bo19bobob2o19bobo$4bo2bobo4bo9bo32bo2bo2bo24bo2bo21bo$5b
2o2bo5bo4b3o43bo10bo2b2o9bo$9b2o58bo6bobo2bo7bo2b2o$17b2ob2o46bo7bobob
o5bo3bobobob2o$20b2ob2o32bo10b3o4b2obob2o3bob3ob2ob2obo$20bo3bo2b2o27b
obo3b2o11bo2bo3bo2bo7bo$15b2o4b2o2bo2bo28bo4b2o12bo2b3obobo3bob2o2b2o$
15b2o8bo11b2o36bo2b2o3bobob3obo4bo$23b2o12b2o37bo2b4o3bo4bo2bo$75bo2bo
9b3o3b2o$37bo37b2obob5o2b2o$13bob2o19bobo37bobo2bo2bo$11b3ob2o13b2o4b
2obo9bobo24bo2bo$10bo19b2o6b2obo8b2o25b2o$11b3ob2o6b2o13b5obo5bo13bo$
13bobo7b2o15bobob3o16bobo$13bobo26bo4bo15bobo$14bo24bo4b2obo16bo$38bob
obo2b2o21b2o$38bobob2o24bobo$39b2obo16bo10bo$42bo17bo9b2o$42b2o14b3o!
I'm sure there are alternate p5 sparkers that would allow it to be reduced even more.

Edit: slightly smaller:

Code: Select all

x = 127, y = 87, rule = B3/S23
87bo16b2o$87b3o13bo2bo$90bo12bobo2bo2bo$89b2o11b2obob5o$101bo3bo$94bo
6bo4bob2o$93bobo5bo3b2o3bo$93bo2bo4bo4bobobo$94b2o5bo3bo3bo$102b2obob
2o$103bobobo$103bobo2bo$104bo2b2o4$100bobo$85b3o13b2o$21b2o16bo47bo13b
o$20bo2bo13b3o46bo$15bo2bo2bobo12bo$15b5obob2o11b2o$21bo3bo$17b2obo4bo
44bo$16bo3b2o3bo36bo5b5o14b2o$16bobobo4bo3b2ob2o27bobo3bo5bo13bo37b2o$
17bo3bo3bo4bo2bo27bobo3bo2b3o12bobo37bo$18b2obob2o6b2o26b2obob2obobo
15b2o36bobo$19bobobo33bo2bo3bobo2b4o23b2o25b2o$18bo2bobo33b2o2bobo2bob
o3bo3b2o18bo$18b2o2bo43bo2b3o4b2o15b2obo21bo$62bob2obobo23bo2b3o18b3o$
65bobobo24b2o3b2o15bo$67bob2o14b2o9b2obo15b2o$60b7o18bobo8bob2o7b2o$
60bobo22bo13bo3b2o2bo11bo$57b2obobob5o8b2o24bobobo$58bobobo5bo9bo27bo$
58bobobo2b3o7b3o41b3o$56b2obo2bob2obobo5bo42b5o$56bo2bobobobobob3o45bo
b3obo$58bo2bo2bob2o4bo42b3o5b3o$16bo21b2o14b5obo7bobobo41bo3bo3bo3bo$
2o13bo23bo6bo6bo5bob3o2b3ob2o42bob3obob4o$bo13b3o21bobo3b3o6b3o2bo9bo
45bo3b3o$bobo36b3ob5o8bobob7obo30bo16bobobob2obo$2b2o25b2o11b3o3b2o4b
4o2bobo3bobo30bobo9b2o3b2o2bo2bob2o$30bo11b3o3b3o3bo3bobo3bobo31b2ob2o
8b2o4bobo2bo$30bob2o9b2o3b2o5b3o2b3o3b2o49bo2b2o$6b2o20b3o2bo10b5o8bob
o5bo2bo16bo30b2o$5bo2bo17b2o3b2o12b3o9bo2bob2ob4o16bobo$6bobo18bob2o
15bo8bob3o3b3o19b2o$7bo10b2o7b2obo23bobo3b9o30bobo$19bo2b2o3bo27bo2bob
o2bo2bo2bo28bobob2o$19bobobo24b2o6b3o2b4o3bo2bo16b2o9bobo$20bo27bo10b
2o4b2obob2o16b2o$5b3o41b3o6bo2bo5bobo18b2o$4b5o23bo18bo5bobobo7bo17b3o
$3bob3obo7bobo12b3o20b3obob2o6b2o15bob2o20b2obo$b3o5b3o6b2o12bo2bo18bo
4b2o3bo2b2o2bo10b2obobo3bo3b2o13b2ob3o$o3bo3bo3bo5bo13bo2bo19b2obo2bo
2bobo3bo11b2obo2bo6b2o19bo$b4obob3obo19bo2bo20bob4ob2o2b3o15bob2o3bo9b
2o6b2ob3o$5b3o3bo20b3o21bo4bob3obo17bo2bo3bo9b2o7bobo$ob2obobobo22bo
24b5o4bo19bobob2o19bobo$2obo2bo2b2o5b2o4b2o35bo2bo24bo2bo21bo$4bo2bobo
4bob2o3bobo41bo10bo2b2o9bo$5b2o2bo5b3o2b2obo44bo6bobo2bo7bo2b2o$9b2o8b
ob2o44bo7bobobo5bo3bobobob2o$19b2o2b2o31bo10b3o4b2obob2o3bob3ob2ob2obo
$21b2o4bo27bobo3b2o11bo2bo3bo2bo7bo$16bo4bo5bo28bo4b2o12bo2b3obobo3bob
2o2b2o$16bo9b2o46bo2b2o3bobob3obo4bo$15bo4bobob2o11b2o36bo2b4o3bo4bo2b
o$16bo6b2o12b2o35bo2bo9b3o3b2o$37b2o35b2obob5o2b2o$37bo37bobo2bo2bo$
13bobo20bobo9bobo24bo2bo$11b3ob2o13b2o4bo2b2o8b2o25b2o$10bo19b2o9b2o6b
o13bo$11b3ob2o6b2o13bo3bobo17bobo$13bobo7b2o15bobob3o15bobo$13bobo25bo
5bo15bo$14bo24bobob3obo19b2o$38bobobo2bob2o18bobo$38bobob2obo12bo10bo$
39b2obo2bo13bo9b2o$43b2o12b3o!
Edit 2: smaller, but still with room for improvement:

Code: Select all

x = 123, y = 87, rule = B3/S23
81bo16b2o$81b3o13bo2bo$84bo12bobo2bo2bo$83b2o11b2obob5o$95bo3bo$88bo6b
o4bob2o$87bobo5bo3b2o3bo$87bo2bo4bo4bobobo$88b2o5bo3bo3bo$96b2obob2o$
97bobobo$97bobo2bo$98bo2b2o4$94bobo$79b3o13b2o$23b2o16bo39bo13bo$22bo
2bo13b3o38bo$17bo2bo2bobo12bo24b2o$17b5obob2o11b2o23bo2bo$23bo3bo36b5o
14b2o$19b2obo4bo41bo13bo$18bo3b2o3bo38b3o12bobo$18bobobo4bo3b2ob2o29bo
15b2o$19bo3bo3bo4bo2bo29b4o$20b2obob2o6b2o28b2o3bo3b2o47b2o$21bobobo
36bo2b3o4b2o20b2o25bo$20bo2bobo36b2obo28bo24bobo$20b2o2bo40bo25b2obo
24b2o$65b2o24bo2b3o$92b2o3b2o$83b2o9b2obo$59b2o12b2o8bobo8bob2o7b2o6b
3o$56b2o2bo13bo8bo13bo3b2o2bo7bob2o$55bo2b2o5b2o4b3o27bobobo9b2o$55bob
o2b3o2bo5bo32bo$56bobobo2bobo$58bo4b3obo$38b2o14b5obo5bobo46bo$39bo13b
o5bobobobo2bo45bo2b2o$18bo20bobo12b3o2bobo3bobo47b3obo$17bo22b2o3bo11b
obo5bob2o46bo3bo$17b3o24bo2bo6b4ob5obo2bo47bo3b2o$2o42bo2bo6bo3bo7bo
31bo16bob3o2bo$bo25b2o16bobo7b3o2bob4o31bobo9b2o3b2o5bo$bobo24bo28bob
4o33b2ob2o8b2o3b2ob3ob2o$2b2o24bob2o25bo6b2o49b2o2bobo$26b3o2bo23bob5o
3bo2bo14bo31bob2o2bo$24b2o3b2o24b2o4bo3bobobo13bobo25b2o5bobo$6b2o17bo
b2o29b2o4b2ob2o14b2o26bo4bo2bo$5bo2bo7b2o7b2obo19b2o9b2o36bobo12b7o$6b
obo8bo2b2o3bo22bo8bo6b5o27bobob2o$7bo9bobobo27b3o4bob5ob2o2bo17b2o9bob
o14b2ob2o$18bo32bo4bobo4bo4bob2o14b2o26b2ob2o$55b2o2bo5b3obobo14b2o$
30bo23bo2bobo7bobo15b3o$7bo7bobo12b3o20bobobob2o6bob2o13bob2o20b2obo$
4b2o2bo7b2o12bo2bo17bo2bo2b2o3bo2b2obo11b2obobo3bo3b2o13b2ob3o$3bob3o
8bo13bo2bo17b2obobo2bo2bobo3bo11b2obo2bo6b2o19bo$3bo3bo22bo2bo20bob4ob
2o2b3o15bob2o3bo9b2o6b2ob3o$b2o3bo23b3o21bo4bob3obo17bo2bo3bo9b2o7bobo
$o2b3obo22bo24b5o4bo19bobob2o19bobo$bo5b2o5b2o4b2o35bo2bo24bo2bo21bo$
2ob3ob2o3bob2o3bobo41bo10bo2b2o9bo$bobo2b2o5b3o2b2obo44bo6bobo2bo7bo2b
2o$bo2b2obo9bob2o44bo7bobobo5bo3bobobob2o$2bobo5b2o5b2o2b2o31bo10b3o4b
2obob2o3bob3ob2ob2obo$3bo2bo4bo7b2o4bo27bobo3b2o11bo2bo3bo2bo7bo$4b7o
3bo4bo5bo28bo4b2o12bo2b3obobo3bob2o2b2o$14bo9b2o46bo2b2o3bobob3obo4bo$
4b2ob2o4bo4bobob2o11b2o36bo2b4o3bo4bo2bo$4b2ob2o5bo6b2o12b2o35bo2bo9b
3o3b2o$35b2o35b2obob5o2b2o$35bo37bobo2bo2bo$11bobo20bobo9bobo24bo2bo$
9b3ob2o13b2o4bo2b2o8b2o25b2o$8bo19b2o9b2o6bo13bo$9b3ob2o6b2o13bo3bobo
17bobo$11bobo7b2o15bobob3o15bobo$11bobo25bo5bo15bo$12bo24bobob3obo19b
2o$36bobobo2bob2o18bobo$36bobob2obo12bo10bo$37b2obo2bo13bo9b2o$41b2o
12b3o!
-Matthias Merzenich

Jormungant
Posts: 605
Joined: May 27th, 2016, 1:01 am

Re: Execution of Old Guns by Variable-Speed Firing Squad

Post by Jormungant » October 26th, 2021, 9:46 am

Sokwe wrote:
October 26th, 2021, 6:53 am
This can be reduced further with improved p5 sparkers. For example:
mmm, I did not check if the glider phase disallows this, but why not using 2 bandersnatches on a single loop? Or forking a glider p70 stream into the p5 turner? This is the smallest we can do?

User avatar
Scorbie
Posts: 1692
Joined: December 7th, 2013, 1:05 am

Re: Execution of Old Guns by Variable-Speed Firing Squad

Post by Scorbie » October 30th, 2021, 10:41 pm

Kazyan wrote:
October 3rd, 2021, 6:04 pm
EDIT 2: An improvement to the p35 design
Just in case people need a smaller isolated form of the sparker, here's an ofind result. (Depth 12, deepening 7)

Code: Select all

x = 138, y = 89, rule = LifeHistory
102.A16.2A$102.3A13.A2.A$105.A12.A.A2.A2.A$104.2A11.2A.A.5A$104.5B6.
2BA.BA$106.3BAB4.3BAB.4A$105.3BABA6BA2B2A.B.A$104.4BA2BA2B.3BAB.3A.A$
105.4B2A3B.2BA.BA3.A$106.6B5.2A.A.2A$107.5B6.A.A.A$106.7B5.A.A2.A$
105.4B.4B5.A2.2A$104.4B3.4B$103.4B5.4B$102.3AB7.4B$101.3BA9.4B$100.3B
A11.4B$99.4B13.BABA$17.2A16.A62.4B15.B2AB$16.A2.A13.3A61.4B17.A3B$11.
A2.A2.A.A12.A63.4B19.4B13.2A$11.5A.A.2A11.2A61.4B21.4B12.A$17.AB.A2B
6.5B60.4B23.4B5.B2.BA.A$13.3AB.3A2B4.5B61.4B25.4B3.3B.B2A$12.A.B.B4A
4B2ABA4B47.2A10.4B6.A20.4B.6B$12.A.2AB.3A2B.3AB3A3B47.A9.4B6.A.A20.
10B$13.A3.AB.A2B.2ABABA3B46.A10.4B5.3A.A21.5B2A2B$14.2A.A.2A5.3A3B47.
5A5.4B5.A4.2A21.3BA2BA$15.A.A.A6.3A2B53.A4.4B5.A.2A.A21.4BABAB$14.A2.
A.A5.7B49.3AB2.7B.BA.A2.A.A.A18.6BAB$14.2A2.A5.4B.4B47.A.2B3.3B2A2B.B
2A2.A2.A3BA15.4B2.3B$23.4B3.4B46.4A6B3A3B5.2A3.BA14.4B3.3B$22.4B5.4B
43.2A2.BA3B2A2BA4B7.3AB14.A3B6.B$21.4B7.4B41.A2.3AB.2B2A7B7.A.2BA6.2A
4.BABA5.5B$20.4B9.4B40.2A.A.B3.10B9.ABA2.2A2.A4.2B2A6.5A$19.4B11.4B
42.A8.8B9.A3.A.A.A3.4B6.A5BA$18.4B13.4B41.2A7.9B4.B3.B4.B.A3.4B5.3A.
3B.3A$17.4B15.4B50.3B2.9B2.3B.2B4.4B5.A3.5B3.A$16.4B17.4B27.2A18.5B3.
9B.7B2.4B7.4A.A.3A.A$2A13.4B19.4B25.A.A18.2A7.16B.4B12.3A3.A$.A12.4B
21.4B23.A2.A.2A16.A7.20B8.A.2A.B.B.A$.A.AB2.B5.4B23.4B21.A3.A2.A13.3A
7.11BA9B8.2A.A.ABA.2A$2.2AB.3B3.4B25.3BA20.4A.A15.A10.9B3A8B12.A2.A.A
$4.6B.A3B20.A6.B2AB10.2A5.2A3.A.2A2.2A21.8B5A8B12.2A2.A$4.6BA3B20.A.A
6.ABAB9.A5.A2.A3B.A2.A.A20.8B2A3B2A8B15.2A$4.2B2A2B3A21.A.3A5.4B10.A
3.A.A2.4AB2A21.8B2A5B2A6B2A$5.A2BA3B21.2A4.A5.4B5.5A2.2A.4A.2B3.A19.
4B.5B2A3B2A7B2A$5.BABA4B21.A.2A.A5.4B4.A8.A4.A3B2A2.A17.4B5.3BA3BA9B$
6.BA6B18.B.A.A2.A.AB.7B2.B3A5.A.2A.A.3B.3A16.4B6.16B$6.3B2.4B15.BAB2A
2.A2.2AB.7B3.2B.A5.A.A.B2A2.A18.4B5.7B2A9B$6.3B3.4B14.BA3.2A5.12B4A7.
A.3B3.A16.A3B5.6B6A6B$6.B6.4B14.AB2A7.7B2A3BAB2.2A5.A.2A3.2A15.BABA6.
6B2A2B2A7B$4.B3AB5.4B4.2A6.2BA.A7.7B2A2B.B3A2.A3.2A.B3AB16.2B2A8.4BA
6BA7B$4.5A6.4B4.A2.2A2.A2B9.10B3.B.A.2A2.A2.8A13.4B4.2A2.6B2A2B2A8B$
3.AB3ABA6.4B3.A.A.A3.A9.8B8.A6.2A2.A.BA2.A11.4B4.BA2BA.5B6A7B$.3A.3B.
3A5.4B3.A.B4.B3.B4.9B7.2A8.4A2B.A2.A8.4B6.4B2.6B2A9B$A3.A3BA3.A5.4B4.
2B.3B2.9B2.3B16.2A2.2B2A.A.2A7.4B7.A3B3.17B$A.3A.A.4A7.4B2.7B.3B2A4B
3.5B13.A2.A3B.BA.A8.4B7.BA.2A2.14B.B2A.A$.A3.3A12.4B.10B2A4B7.2A12.A.
A.A.3B.B.A7.4B6.3B.AB3.B2AB2.B2.B5.B2AB3A$3.A.A.A.2A.A8.BABA11BA3BA7.
A13.A.A.2A5B.2A5.4B5.4B2A6.2A5.3B6.B4.A$2.2A.BAB.A.2A8.2B2A9BA5BAB7.
3A8.2A2.2A.2BA2B2A2.A3.4B5.A.4AB12.B2AB5.2A.3A$3.A.A2.A12.2BA12BA3BA
10.A9.A.A2.AB.ABA3.A3.4B4.5A2B15.2A7.A.A$3.A2.2A12.15B2A4B20.A.4A.2AB
.3A3.4B4.A4.3B24.A.A$2.2A15.A2BA5BA7B2A4B18.2A4.A.3A.A4.4B5.A.2ABAB.A
24.A$18.BA4B2A2BA14B17.A2.4A4BA4.4B5.2A.A2.B.A.A$18.A9BA10B.4B17.2A.A
.BA4B3.4B9.A.2A.A.A$19.A4B3A9B5.4B24.BA3.4B3.A3.2A.A2.A.2A$20.16B6.4B
23.B.B.A3B3.A.A.A.A.A.A$20.B2AB2A12B5.4B19.6BA3B4.A.A.A4.A$21.3B2AB2A
10B5.4B13.AB3.6B3A4.2A.A.2A$20.4BA3BA2B2A6B6.4B11.A.A3B2A11BA.BA3.A$
19.2A4B2A2BA2BA5B8.4B11.A4B2A8B.3BAB.3A.A$19.2A8BA9B2.2A4.4B11.B.15BA
2B2A.B.A$20.7B2A9B.2B2AB4.4B13.15BAB.4A$20.17B2.4B6.4B15.8B.2BA.BA$
19.17B3.2BAB7.4B14.7B4.2A.A.5A$17.A.2AB.14B2.BA.AB7.4B12.7B6.A.A2.A2.
A$15.3AB2AB5.B2.B2.B2AB3.2A.A2B6.BABA11.5B8.A2.A$14.A4.B6.3B5.2A6.2AB
A2B5.B2AB9.7B8.2A$15.3A.2A5.B2AB12.5A.A5.A3B4.B2.3BA3B$17.A.A7.2A15.A
BAB3A4.4B.7BABA2B$17.A.A24.2BA4.A4.11BABA2B$18.A24.A.3B2A.A5.11BA3B$
42.A.A.A2.A.2A5.12B.B2A$42.A.A.2A.A9.10B2.BA.A$43.2A.A2.A10.3BA3B7.A$
47.2A12.3BA2B7.2A$62.3AB!
I didn't bother to optimize it because I wasn't sure if it was useful.
Edit: this looks like minpop for its bounding box:
Edit 2: Nope, here's a smaller one (pop 147)

Code: Select all

x = 17, y = 28, rule = B3/S23
7b2o$7bo$9bo2b2o$5b4obo2bo$4bo3bob2obob2o$4b2o4bo2bo2bo$7b4ob2obo$4b4o
6bo$4bo2bo3b2o$5bobo5b4o$4b2o2b2o2bo3bo$5bo7bo$5bob2o3b2o$4b2o2b3o$3bo
2b8o$4b2o2bo2bo2bo$6b4o3bo2bo$4b2o4b2obob2o$3bo2bo5bobo$2bobobo7bo$2bo
bob2o6b2o$2o2b2o3bo2b2o2bo$bobo2bo2bobo3bo$bob4ob2o2b3o$2o4bob3obo$o2b
4o4bo$b2obo2bo$10bo!

Sokwe
Moderator
Posts: 2645
Joined: July 9th, 2009, 2:44 pm

Re: Execution of Old Guns by Variable-Speed Firing Squad

Post by Sokwe » November 18th, 2021, 5:43 am

While adding example links to the gun section of the status page, I noticed that catagolue didn't have true period 65 or 69 guns.These were the smallest I could find with Hersrch (I manually replaced eater 3s with smaller Hickerson eaters):

p65:

Code: Select all

x = 209, y = 78, rule = B3/S23
122bo49bo$122b3o17b2o6b2o20b3o$125bo16b2o4bo2bo23bo$124b2o22b2obob2o
19b2o$151bobobo$58b2o45bo42b2obo3bo42bo$32bo25bo27b2o17b3o40b2o2bo2b3o
38b3o$20bo11b3o21bobo28bo20bo42b2o5bo21bo14bo$18b3o14bo20b2o16bo11bo
20b2o11b2o35b2o11b2o5b5o13b2o7b2o$2bo14bo16b2o38b3o9b2o20b2ob2obo5b2o
48bo11bo21bo$2b3o12b2o58bo31b2obo2bo15b2o47b2o20bobo$5bo58b2o10b2o31bo
5bo15b3o45b2o21b2o$4b2o59bo45bobo2b2o13bo4b2o40bo20bo$25bo39bobo19bo
22b2obo3bo15b2o2bo60bobo$25b2o12b3o24b2o18bob2o21bobobobo17b2o56bo3bob
2o$5b2o19b2o11bo46bob2o24b3o18bo19b2o2bo33bo2b2ob2o$5b2o19bo13bo46bo2b
3o61b3o2b2o35bo2bo$21b3obo24bo41bo11bobo38b2o8b2o2b3o35b2o$21b3o22bobo
b2o17b3o18bobo11b2o26b2o11b2o8b2o2b2o21b2o23bo$46b3o2b2o14bo4bo17b2o
13bo27bo49bo22bobo$46bobo2bo17bob2o57b3o47b3o8b2o14bo$44b2o3b2o15b3o
61bo49bo11bo$9bo34b2ob3o15bo123b3o$7b6o8b2o24b2o6b2o42b2o48b2o38bo$7b
2o2b2o8bo20b2o11b2o23b2o18bo20b2o27bo20b2o$23bo19bo36bo16b3o21bobo23b
3o21bobo30b2o$11bo10b2o16b3o38b3o8bo4bo9b2o14bo23bo25bo30bobo$7b2o2bo
6b2o20bo42bo6b3o14bo15b2o7b2o3bo2bo32b2o31bo$7b2o3bo5bo70bo18b3o6b2o
13bo4bo2bo65b2o$11bo7b3o37b2o5b2o21b2o19bo6b2o11bobo2b2ob2ob2o45bob2o
4b2o$9bobo9bo38bo5bobo2b2o57b2o5bo2bo47b2obo3bo2b2o$10bo46b3o3bo4bo3bo
29bo9bo24bo2bo4b2o48b2obo$57bo5b5ob3o26bo11b2ob2o20b2ob2ob2o2bobob2o
46b2ob2o$67bobo19b4o4bo3bobo5bobob2o22bo2bo6bobo49b3o$2b2o59b5obo18b2o
2bo3b2o5bo4bo6bo21bo2bo5b2obo51bo$bobo23bo34bo5bo18b2o2bo4b2o9bo2b5o
34bob2o44bo2b2o$bo23b3o34b2o2b2o4b2o14bo2bo7bo8bo2bo2bo31b4o2bo45b3o$
2o22bo47b2o15b2o5b2ob2o10b2o4bo9b2o2bobo12bo3b2o47bo$8b2o14b2o71bobo
10b2o4bobo7bo2b2o2bo13b3o$8b2o100b2o4bobo7bo2b2o18bo$60b4o48bo13bobo2b
2o16bobo55b2o$59bob2obo6b2o77b2o55bo$59b2o2b2o4b2obo132bobo$59b2o2b2o
3bo3bo29b2o101b2o$59bob2obo3bo2b2o8b2o20bo24b2o3bo$13bo46b4o5b3o9bo20b
o13b2o3b2o5bo3bobo$12b3o55bo6bo4b3o17b2o13bo3bo7bo3bobo64b2o$11b2o2bo
60bobo5bo29b3o5b3o5bo3bo10b3o10bo40bobo$11bob3o13bo45bobobo34bo9bo3bob
4o10bo11b3o28b2o12bo$11b2o14b3o28b2o16bo2bo47bobo14bo2bo3b2o2bo32bo$
22b2o2bo32bo19bob2o44bo3bo4b2o7b2o4bobo2bo31bobo$7b2o7bo5bobo2bo31bobo
16b2o2bo43b2o2b2o3bobo7b2o7b2o2bo30b2o$6bobo8bo7b2o2bo30b2o13bobo2bo
54bo8bo2bo7bob2o$6bo8b3o8bob2o45b2o2bo54b2o11bo4bo2bo36b2o$5b2o16bo2bo
53b3o61b2o5bobobo35bobo$22bobobo55bo69bobo5bo34b2o$23bobo5bo104bo2bo
13bo4b3o17b2o15bo$24bo4b3o17b2o85bo2bo17bo20bo6b2o7bo$7bo2bo17bo20bo6b
2o76b2ob2ob2o15b2o20bo6bo6b3o2b2o$6bob2obo16b2o20bo6bo78bo2bo38b2o6bob
o4b2obo$7bo2bo38b2o6bobo76bo2bo47b2o4b2ob2o$7bo2bo47b2o2b2o70b2ob2ob2o
52bobo$6bob2obo12b3o35b2o72bo2bo55bo$7bo2bo12b2obo109bo2bo60b2o$22b2ob
o36b2o7b2o112bo4bo9bobo$23bobo35b2obobo4bobo81b2o2bobo13b2o2b2o4bo3bob
2o9bo$24b2o4bo17b2o13bo2bo6bo64b2o14bo2b2o2bo13b4obo4b4ob2o10b2o$9b2o
17bobo16bo2b2o11bob2o6b2o63bo2bob2o9bo2b2o19bo5b2o2b3o$9bo2bob2o13b2o
16b2ob2o12b2o73b3obobo8bobo2b2o17b3o3b2o2bobo$10b3obobo31b3o14bo77bobo
44b2o$14bobo122b5ob3o41b3o$10b5ob3o49b2o69bo4bo3bo$10bo4bo3bo48bo73bob
o2b2o33b2o$13bobo2b2o33b2o14b3o70b2o21b2o16bo$13b2o21b2o16bo16bo93bo
14b3o6bo$36bo14b3o6bo105b3o11bo7bobo13bo$37b3o11bo7bobo106bo20bo15bo$
39bo20bo142b3o!
p69:

Code: Select all

x = 108, y = 105, rule = B3/S23
68bo$68b3o$71bo$70b2o21b2o$42bo45b2o2bobo$42bo8bo36bo3bo4bo$42bo8b3o
35b3ob5o$42b2o10bo14bo21bobo$45bo7b2o14b2o20bob5o$37b2o2bo4bo23b2o20bo
5bo$33b2obobo7bo23bo16b2o4b2o2b2o$34bobo5b3o24bo17b2o$34bob2o27bobo$
31b2obo28bobo36bo$31bo2bob2o8bo50b3o3bo$32b2o3bo7b4o16bo22b2o6b5obo$
34b3o6b5obo15bo22bob2o6bo$34bo7bo6b2o10bobo24bo3bo4b2o$32bobo6bo3bob3o
9b2o5bo11b2o8b2o2bo4b2o$32b2o4b2o2bobo2b2o15bobo12bo9b3o$38b2o36b3o4bo
6bo$64bo11bo5bobo$50bo3b2o7bo2bo14bobobo$49bobo3bo7bo17bo2bo16b2o$48bo
bo3bo9bo3bo9b2obo19bo$25bo23bo3bo12b2obo8bo2b2o16bobo$25b3o22b4obo13bo
10bo2bobo13b2o$28bo2b2o21bobo12b2o10bo2b2o$27bo2bobo13b2o4bo3bo21b3o$
25bo2b2o16bobo3b2o2b2o20bo$25b2obo19bo$28bo2bo16b2o$28bobobo56b3o$13b
3o7bo5bobo57b3o$13b2o8b3o4bo6bo48bo5b2o$14b2o10bo9b3o46bo2bo3b2o$14bo
10b2o8b2o2bo4b2o39bobo3b3o4bo$9b2o6b2o16bo3bo4b2o39b2ob2o6b5o$5b2obobo
3b2obo17bob2o6bo41b3o5b3ob2o$6bobo6bo19b2o6b5obo32b2o4b2o6bo2b2o$6bob
2o5bo28b3o3bo32bo13b3o6b2o$3b2obo2bo39bo30b3o15bo7bo$3bo2bob2o70bo23bo
bo$4b2o2bo25b2o68b2o$6b2o8b2o16b2o4b2o2b2o$6bo10b2o20bo5bo$4bobo9b2o
20bob5o$4b2o4b2o4bo21bobo$10b2o24b3ob5o41b2o$35bo3bo4bo42bo$22bo3b2o7b
2o2bobo36b2o2b2o3bobo$21bobo3bo12b2o37bo3bo4b2o$20bobo3bo52bobo$21bo3b
o54bob4o$22b4obo54bo3bo$26bobo52bo3bobo$18b2o4bo3bo37b2o12bo3bobo$18bo
bo3b2o2b2o36bobo2b2o7b2o3bo$20bo42bo4bo3bo$20b2o41b5ob3o24b2o$67bobo
21bo4b2o4b2o$63b5obo20b2o9bobo$62bo5bo20b2o10bo$62b2o2b2o4b2o16b2o8b2o
$2b2o68b2o25bo2b2o$bobo23bo70b2obo2bo$bo7bo15b3o30bo39bo2bob2o$2o6b3o
13bo32bo3b3o28bo5b2obo$7b2o2bo6b2o4b2o32bob5o6b2o19bo6bobo$7b2ob3o5b3o
41bo6b2obo17bob2o3bobob2o$7b5o6b2ob2o39b2o4bo3bo16b2o6b2o$9bo4b3o3bobo
39b2o4bo2b2o8b2o10bo$14b2o3bo2bo46b3o9bo10b2o$14b2o5bo48bo6bo4b3o8b2o$
16b3o57bobo5bo7b3o$16b3o56bobobo$58b2o16bo2bo$59bo19bob2o$29bo20b2o2b
2o3bobo16b2o2bo$27b3o21bo3bo4b2o13bobo2bo$22b2o2bo10b2o12bobo21b2o2bo$
7b2o13bobo2bo10bo13bob4o22b3o$6bobo16b2o2bo8bob2o12bo3bo23bo$6bo19bob
2o9bo3bo9bo3bobo$5b2o16bo2bo17bo7bo3bobo$22bobobo14bo2bo7b2o3bo$23bobo
5bo11bo$17bo6bo4b3o36b2o$16b3o9bo12bobo15b2o2bobo2b2o4b2o$9b2o4bo2b2o
8b2o11bo5b2o9b3obo3bo6bobo$9b2o4bo3bo24bobo10b2o6bo7bo$9bo6b2obo22bo
15bob5o6b3o$5bob5o6b2o22bo16b4o7bo3b2o$4bo3b3o50bo8b2obo2bo$5bo36bobo
28bob2o$40bobo27b2obo$19b2o17bo24b3o5bobo$9b2o2b2o4b2o16bo23bo7bobob2o
$9bo5bo20b2o23bo4bo2b2o$10b5obo20b2o14b2o7bo$14bobo21bo14bo10b2o$10b5o
b3o35b3o8bo$10bo4bo3bo16bo19bo8bo$13bobo2b2o17bo27bo$13b2o20b3o!
I used the Hersrch version from around 2012, so there may be smaller solutions using newer conduits. Does anyone have any updates to the Hersrch data for at least the high-compression conduits (say, faster than 78 ticks)?

Edit: adding R49 to Hersrch allowed me to reduce both the p65 and p69 guns, as well as the p73 gun (all true-period, of course):

p65:

Code: Select all

x = 137, y = 81, rule = B3/S23
19b2o48b2o$20bo25bo23bo25bo$20bobo21b3o23bobo21b3o$21b2o20bo27b3obo17b
o$43b2o28b2obo16b2o$73bo2bo$6bo56bo10b2o37bo$6b3o52b3o9b2o17bo18b3o4bo
2bo$9bo5b2o21b2o20bo12b2o4bo13bo3bo12bo6bob2obo$8b2o4bob3o20b2o19b2o
13bo3bo8b2o3bo4bo11b2o6bo2bo$14bo4bo18bo9bo24bo3bobo8bo3bo2bo2bo19bo2b
o4b2o$11b2obob3o8b3o18b2o23bobo12bobo3b4o19bob2obo3bobob2o$11bo2bobo
31bobo38b2o3b2o22bo2bo6bobo$12b2o11b2obobob2o39bo3bo49b2obo$25bo2bobo
42bo2bo53bob2o$25b3obo45bo51b4o2bo$32b2o36b2obo36b4o13bo3b2o$28bo4bo
17b2o16bo39bo18b3o$9b2o11b2o8bo16bob2o16bo38bo4bo16bo$bob2o4bo2bo9b2o
7bo3b2o12b3o17b3o13b2o22bob2o17bobo$b2obo3bo4bo21bo14bo34bo24bo20b2o$
7b2ob2ob2o21b3o47b3o12bo$8b2o5bo22bo27bo21bo12bo$11bo88bo8b2o3bo$16bo
51b2o39bo3bobo$10bo35b2o20bo27b2o12bo3bobo$10bo4bo29bobo21b3o23bobo13b
o3bo$10bo2bo31bo25bo23bo13bob4o12bo$11b3o30b2o48b2o12bobo15bobo$108bo
3bo4b2o6bo3bo$24bo82b2o2b2o3bobo6bo2bo$24b3o89bo8bo2bo$4bo22bo87b2o8bo
bo$3bobo20b2o21b2o$3bobo38b2o2bobo$2b2ob2o37bo3bo4bo$2bo11bo3b2o25b3ob
5o$3b4o7bo3b2o3b2o3bo18bo85b2o$7bo6bo2bo5b3obob2o16bob5o79bobo$5bobo9b
2o4b3o4bo17b2obo2bo80bo$5b2o11bobo5bo3bo12b2o8b2o80b2o$15bob4o6b3o13b
2o$2b2o12bob3o6bo$bobo49bo2bo$bo42b3o6bo2bo$2o42b3o4b2ob2ob2o$45b2o6bo
2bo$13b2o32bo5bo2bo68b2o$13bo20b2o9bo2b2ob2ob2ob2o66b2o$14bo20bo8bo3bo
4bo2bo$13b2o17b3o4bo5bo2bo4bo2bo59b2obo$32bo5bobo4b3o68bob2o$37bobobo
84b3o5b2o$37bo2bo16b2o66bo2bo5bo$34b2obo19bo67bo2bo3bobo$34bo2b2o16bob
o3b2o2b2o57bo2bo4b2o$36bo2bobo13b2o4bo3bo58bo2bo$37bo2b2o21bobo51bo7bo
bo$34b3o22b4obo3bo9bo38b3o6bo$34bo23bo3bo5b3o5b3o29bo11bo$57bobo3bo7bo
3bo13b2o17b3o8b2o6b2o6bo$58bobo3bo5b2o3b2o13bo20bo13b4obo3bobo$59bo3b
2o24bo20b2o13bo5bo3bo$89b2o24b2o8bob2o$47b2o26b2o35b2ob3o12b2o$41b2o4b
2o2b2o3bo17b3o35b2o3b2o$41bobo7b3obob2o13bob2o38bobo2bo$43bo7b3o4bo12b
o2bo39b3o2b2o$43b3o8bo3bo30b3o22bobob2o$41b2o3bo8b3o13bo3b2o12b3obo24b
o$40bo2bob2o8bo19b2o17bo13bo$40b2obobo26b2o3bo16b2o11bo$43bob2o5bo2bo
16bo3bo16b2o12b3o13b2o$43bobo6bo2bo16bo3bo16bo29bo$42b2obobo2b2ob2ob2o
16bo49b3o9bo$46b2o4bo2bo70bo7bobo$52bo2bo5b2o72b2o$50b2ob2ob2o2bobo11b
2o6bo19b2o$52bo2bo4bo13b2o6b3o18bo$52bo2bo3b2o24bo14b3o$84b2o14bo!
p69:

Code: Select all

x = 96, y = 89, rule = B3/S23
55bo$55b3o$58bo$57b2o21b2o$75b2o2bobo$38bo36bo3bo4bo$19b2o17b3o35b3ob
5o$20bo20bo14bo21bobo$19bo20b2o14b2o20bob5o$19b2o36b2o20bo5bo$57bo16b
2o4b2o2b2o$6b2o48bo17b2o$7bo44bobo$7bobo15bo24bobo36bo$8b2o12bo3bo6bo
50b3o3bo$22bo4bo4b4o16bo22b2o6b5obo$11b2o9bo3bo3b5obo15bo22bob2o6bo$
11bobo9b3o3bo6b2o10bobo24bo3bo4b2o$13bo9bobo2bo3bob3o9b2o5bo11b2o8b2o
2bo4b2o$9b4o6b3obobo3bobo2b2o15bobo12bo9b3o$8bo15b2o37b3o4bo6bo$8b2ob
2o38bo11bo5bobo$9bobo38bo2bo14bobobo$9bobo20b2o16bo17bo2bo16b2o$o9bo
22bo17bo3bo9b2obo19bo$3o27b3o20b2obo8bo2b2o16bobo$3bo26bo25bo10bo2bobo
13b2o$2b2o13bo38b2o10bo2b2o$16b3o46b3o$8b3o7bo46bo$8bo2bo$8bo2bo$9bobo
64b3o$76b3o$73bo5b2o$72bo2bo3b2o$72bobo3b3o4bo$72b2ob2o6b5o$74b3o5b3ob
2o$69b2o4b2o6bo2b2o$19b2o49bo13b3o6b2o$19bobo45b3o15bo7bo$21bo45bo23bo
bo$21b2o68b2o5$3b2o68b2o$2bobo23bo45bo$2bo7bo15b3o45bobo$b2o6b3o13bo
49b2o$8b2o2bo6b2o4b2o$8b2ob3o5b3o$8b5o6b2ob2o$10bo4b3o3bobo$15b2o3bo2b
o$15b2o5bo$17b3o$17b3o64bobo$84bo2bo$84bo2bo$30bo46bo7b3o$28b3o46b3o$
23b2o2bo10b2o38bo13b2o$8b2o13bobo2bo10bo25bo26bo$7bobo16b2o2bo8bob2o
20b3o27b3o$7bo19bob2o9bo3bo17bo22bo9bo$6b2o16bo2bo17bo16b2o20bobo$23bo
bobo14bo2bo38bobo$24bobo5bo11bo38b2ob2o$18bo6bo4b3o37b2o15bo$17b3o9bo
12bobo15b2o2bobo3bobob3o6b4o$10b2o4bo2b2o8b2o11bo5b2o9b3obo3bo2bobo9bo
$10b2o4bo3bo24bobo10b2o6bo3b3o9bobo$10bo6b2obo22bo15bob5o3bo3bo9b2o$6b
ob5o6b2o22bo16b4o4bo4bo$5bo3b3o50bo6bo3bo12b2o$6bo36bobo24bo15bobo$41b
obo44bo$20b2o17bo48b2o$10b2o2b2o4b2o16bo$10bo5bo20b2o36b2o$11b5obo20b
2o14b2o20bo$15bobo21bo14bo20bo$11b5ob3o35b3o17b2o$11bo4bo3bo16bo19bo$
14bobo2b2o17bo$14b2o20b3o!
p73:

Code: Select all

x = 111, y = 110, rule = B3/S23
44bo9bo15bo20bo$7bo36b3o5b3o13b3o11bo7bobo$7b3o22b2o13bo3bo15bo14b3o6b
o$10bo5b2o14bo13bo2bo2bo14b2o16bo16bo$9b2o4bob3o13bo12bo5bo31b2o14b3o$
15bo4bo11b2o65bo$12b2obob3o27bo3bo19b3o5bo19b2o$12bo2bobo28b2o2bo19b5o
3b2o$13b2o16bo16bo20bob2o2bo4bo14bobo$30b3o16b2o17b2ob5o17b2o2b2o$30bo
2b2o14b3o17b5obo17bob3o6b2o$25b3o3bo2bo12b5o18bo3b3ob2o13bo3bo6bo$24bo
4bobo14b2o26b4o16bobo5bobo$24bo8bo11bo3bo45bo6b2o$2bob2o18b2o5b2o13b5o
$2b2obo25bo15b3o$26bo3bo58b2o$11b2o15bo51b2o6bobo$11b2o47b2o19bo6bo$
40bo6b2o11bobo17bo6b2o$38b3o6b2o13bo17b2o$37bo24b2o$37b2o3$21b2o68b2o$
21bo68bobo$19bobo68bo$19b2o68b2o$101bo$100b3o$13b3o83bo2b2o$bo8b3obo
84b2ob2o$b3o7b2ob2o82b3o$4bo6b2ob2o83b2obo$3b2o8bo86bo2bo6bo$100bo7bob
o$101bobo5b2o$102bo$99bo$98bobo$21b2o74bo3b4o$21bo79bo2bo$19bobo79b3o$
19b2o77b3o$103bo$13bo76b2obo9bo$2b2o9bo76bob2o9bo$2b2o9bo5b2o$19bobo$
11b2o8bo$7bob2o2bo7b2o86b2o$7bobo2b3o93bobo$7bo4b2o86b2o6bo$7b2o3bo86b
2ob2o3b2o$2b2o3b2ob2o86bo3b2o$2bo6b2o86b2o4bo$obo93b3o2bobo$2o86b2o7bo
2b2obo$89bo8b2o$89bobo$90b2o5bo9b2o$7bo9b2obo76bo9b2o$7bo9bob2o76bo$7b
o$10b3o77b2o$7b3o79bobo$6bo2bo79bo$6b4o3bo74b2o$10bobo$11bo$8bo$7bobo$
2o8bo$bo5bo2bo86bo8b2o$bobo4bob2o83b2ob2o6bo$2b2o6b3o82b2ob2o7b3o$7b2o
b2o84bob3o8bo$7b2o2bo83b3o$8b3o$9bo$20b2o68b2o$20bo68bobo$18bobo68bo$
18b2o68b2o3$72b2o$47b2o24bo$29b2o17bo13b2o6b3o$22b2o6bo17bobo11b2o6bo$
22bo6bo19b2o47b2o$20bobo6b2o51bo15b2o$20b2o58bo3bo$61b3o15bo25bob2o$
60b5o13b2o5b2o18b2obo$7b2o6bo45bo3bo11bo8bo$6bobo5bobo16b4o26b2o14bobo
4bo$6bo6bo3bo13b2ob3o3bo18b5o12bo2bo3b3o$5b2o6b3obo17bob5o17b3o14b2o2b
o$12b2o2b2o17b5ob2o17b2o16b3o$13bobo14bo4bo2b2obo20bo16bo16b2o$31b2o3b
5o19bo2b2o28bobo2bo$10b2o19bo5b3o19bo3bo27b3obob2o$11bo65b2o11bo4bo$8b
3o14b2o31bo5bo12bo13b3obo4b2o$8bo16bo16b2o14bo2bo2bo13bo14b2o5bo$19bo
6b3o14bo15bo3bo13b2o22b3o$18bobo7bo11b3o13b3o5b3o36bo$19bo20bo15bo9bo!
Edit 2: not a gun, but adding R49 to Hersrch allows it to find a smaller p59 emu:

Code: Select all

x = 130, y = 90, rule = B3/S23
19b2o12bo$20bo12b3o5b2o$20bobo13bo4bo$21b2o12bo3bobo$34bo3bobo$34b2o3b
o$6bo56bo$6b3o52b3o17b2o$9bo5b2o27b2o14bo20bo$8b2o4bob3o24bobo14b2o20b
o$14bo4bo4b3o15b2obo35b2o$11b2obob3o5bo2bo15b2o$11bo2bobo7bob2o16bo49b
2o$12b2o9bo70bo$21bo2bo25b2o40bobo$21bobobo3bo19bo42b2o$22b2obo4bo31bo
15b2o$24bo4bo30bobo15b2o9b2o$60b3o25bobo$bob2o2b2o26b2o23bo22bo4bo$b2o
b4o27bo12b3o31b3o4b4o$6bo2b3ob3o20b3o43bob2o7bo$7b5o26bo11bo30b2o6b2ob
2o$7b2ob2o38b2o7b2o3bo16b2o7bobo$50b2o7bo3bobo15b2o7bobo$9b3o34b2o12bo
3bobo18bo5bo$9bobo33bobo13bo4bo17b2o$9bob4o30bo12b3o5b2o14bobo$10b2o2b
o29b2o12bo22bo2bo$11b3o23bo44b2o$12bo15b2o5b3o43bo3b2o$29bo4bo45bo5bo$
4bo24bobo3bo15b2o27bo$3bobo24bobo3bo14bo28bo4bo$3bobo25bo3b2o12bobo28b
2o3bo$2b2ob2o7bo30b2o2b2o30bobob2o$2bo15bo26b2o33bo2bobo7b2o$3b4o6bobo
3bo4b4o17b2o34bo9bo2bo$7bo5bo5b2o3bo2b2o15b3o34bo9b2o4b2o$5bobo11b2o4b
o2b2o14bo2bo27b2o20bo17b2o$5b2o10bo7bo2bo15bo31bo18bobo17bo$16b2ob2o5b
2o20bo27bobo16b2o19bo$2b2o13bobo25bo2bo28b2o4bo31b2o$bobo42b3o33b3o$bo
38b2o6b2o31b2obo3b3o37b2o$2o37b3o3bob2o31b2o6b2o38bo$45b3o33b3o42bobo$
13b2o31bo4b2o28bo2bo25bobo13b2o$13bo19b2o16bobo27bo20b2o5b2ob2o$14bo
17bobo18bo31bo15bo2bo7bo10b2o$13b2o17bo20b2o27bo2bo14b2o2bo4b2o11bobo$
31b2o4b2o9bo34b3o15b2o2bo3b2o5bo5bo$35bo2bo9bo34b2o17b4o4bo3bobo6b4o$
35b2o7bobo2bo33b2o26bo15bo$43b2obobo30b2o2b2o30bo7b2ob2o$44bo3b2o28bob
o12b2o3bo25bobo$44bo4bo28bo14bo3bobo24bobo$49bo27b2o15bo3bobo24bo$43bo
5bo45bo4bo$43b2o3bo43b3o5b2o15bo$46b2o44bo23b3o$45bo2bo22bo12b2o29bo2b
2o$45bobo14b2o5b3o12bo30b4obo$44b2o17bo4bo13bobo33bobo$38bo5bo18bobo3b
o12b2o34b3o$37bobo7b2o15bobo3bo7b2o$37bobo7b2o16bo3b2o7b2o38b2ob2o$36b
2ob2o6b2o30bo11bo26b5o$36bo7b2obo43b3o20b3ob3o2bo$37b4o4b3o31b3o12bo
27b4ob2o$41bo4bo22bo23b2o26b2o2b2obo$39bobo25b3o$39b2o9b2o15bobo30bo4b
o$50b2o15bo31bo4bob2o$36b2o42bo19bo3bobobo$35bobo40b2o25bo2bo$35bo70bo
9b2o$34b2o49bo16b2obo7bobo2bo$85b2o15bo2bo5b3obob2o$47b2o35bob2o15b3o
4bo4bo$47bo20b2o14bobo24b3obo4b2o$48bo20bo14b2o27b2o5bo$47b2o17b3o52b
3o$66bo56bo$90bo3b2o$89bobo3bo$88bobo3bo12b2o$88bo4bo13bobo$87b2o5b3o
12bo$96bo12b2o!
-Matthias Merzenich

User avatar
dvgrn
Moderator
Posts: 10612
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI
Contact:

Re: Execution of Old Guns by Variable-Speed Firing Squad

Post by dvgrn » November 19th, 2021, 5:23 pm

Sokwe wrote:
November 18th, 2021, 5:43 am
Does anyone have any updates to the Hersrch data for at least the high-compression conduits (say, faster than 78 ticks)?

Edit: adding R49 to Hersrch allowed me to reduce both the p65 and p69 guns, as well as the p73 gun (all true-period, of course)...
I haven't heard of, or collected, any data files for Hersrch for any significant number of conduits discovered since that 2012 version of Hersrch that you're using. So I think you now have the latest and greatest data.ini.

Could you maybe add the text of that .ini file to, let's say, a new user subpage on the LifeWiki, with the "u" and "v" files for R49 quoted on a nearby page? That would allow other people to make contributions, if the inspiration strikes. If more than a few contributions actually get made, I or somebody can go ahead and put all the files in a git repo, and start maintaining things properly.

I just keep hoping that someone will remove the arbitrary limitation to Herschel start and end signals. Freywa mentioned starting work on an ElemSrch utility a while ago -- but then Karel Suhajda also put in some work on a similar effort, a while before that, and then ran out of time. Not surprising -- it's not a small effort.

Sokwe
Moderator
Posts: 2645
Joined: July 9th, 2009, 2:44 pm

Re: Execution of Old Guns by Variable-Speed Firing Squad

Post by Sokwe » November 20th, 2021, 12:14 am

dvgrn wrote:
November 19th, 2021, 5:23 pm
Could you maybe add the text of that .ini file to, let's say, a new user subpage on the LifeWiki, with the "u" and "v" files for R49 quoted on a nearby page? That would allow other people to make contributions, if the inspiration strikes. If more than a few contributions actually get made, I or somebody can go ahead and put all the files in a git repo, and start maintaining things properly.
What are the use cases for updated Hersrch data (besides finding guns of periods 62 to 77)? Everything seems to be snarks and syringes these days.
dvgrn wrote:
November 19th, 2021, 5:23 pm
I just keep hoping that someone will remove the arbitrary limitation to Herschel start and end signals.
This probably wouldn't be be too hard with the current form of Hersrch. You just need to modify Hersrch to read parameters for the start and end signal for each conduit. You could even fake it with the current form of Hersrch by using using the pairs data in data.ini to prevent non-compatible conduits from being connected.
-Matthias Merzenich

User avatar
dvgrn
Moderator
Posts: 10612
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI
Contact:

Re: Execution of Old Guns by Variable-Speed Firing Squad

Post by dvgrn » November 20th, 2021, 10:00 am

Sokwe wrote:
November 20th, 2021, 12:14 am
What are the use cases for updated Hersrch data (besides finding guns of periods 62 to 77)? Everything seems to be snarks and syringes these days.
Heh, we don't actually know if there are any significant use cases -- though I suppose a run with updated data on the medium-to-large gun periods might possibly turn up a closed loop or two that everyone has missed.

In the world of signal synchronization, everything is Snarks and syringes these days mostly because Snarks and syringes are a lot easier to deal with -- and that's mostly because we don't have updated Hersrch data.

-- However, there _may_ also be a memory/run-time issue with adding as many new conduits as we have available. That was one reason why Herschel transceivers never got added, in the form of many separate H-to-H tracks with different spacings. Hersrch works a lot faster when it doesn't have too many options to choose from. We'd run into similar tradeoffs when deciding how many variants of things to put in with additional chains of BRx46Bs, etc., etc.

In the weekender|doo-dah converter there are some experiments that show what a hybrid Hersrch/Snark/syringe toolkit might look like. If you look at the very ends of the splitters that produce the N signals for each shotgun, you'll see that in some cases there are Herschel conduits that directly generate three gliders in the right mod-8 phases to feed directly into the last three edge-shooters.

The usual GPAT method (glider pair adjustment toolkit) is to produce pairs of gliders using a syringe plus a carefully chosen H-to-2G splitter, to get the timings right mod 8 so that connections can be made with just a few Snarks. The doubled-signal toolkit method is to generate the gliders as compactly as possible instead, then run them through adjusters made out of of period doublers and Bandersnatchi to get the color and mod-8 timing right. Both methods have some drawbacks, where most of the area of finished large converters ends up being taking up by awkwardly-packed trombone slide adjustments.

Some modern version of Hersrch might be able to search for the most compact possible Herschel track that generates all N gliders with the correct colors and mod-8 timings -- and maybe even find the options that require the smallest mod-8 timing adjustments. My guess would be that this would give us something like a 25% reduction in the average size of complex circuitry -- maybe less, maybe more.

However, updated Hersrch data would only go part of the way toward making that improvement. Really, rescuing the offset data from the Elementary Conduits Collection and building out usable "ElemSrch" data (e.g., adding safe repeat times and lists of compatible conduit pairs) would probably be a better use of time.

User avatar
Kazyan
Posts: 1247
Joined: February 6th, 2014, 11:02 pm

Re: Execution of Old Guns by Variable-Speed Firing Squad

Post by Kazyan » November 20th, 2021, 11:10 am

I suspect that a functional ElemSrch would reduce some of the larger guns. Above about p550, prime periods start to get dicey and fall behind the usual standard for snark/syringe technology, but custom Herschel tracks don't really have that problem.
Tanner Jacobi
Coldlander, a novel, available in paperback and as an ebook. Now on Amazon.

User avatar
iNoMed
Moderator
Posts: 607
Joined: August 29th, 2020, 3:05 pm
Location: Scotland

Re: Execution of Old Guns by Variable-Speed Firing Squad

Post by iNoMed » November 23rd, 2021, 12:42 pm

Crossposted from the gun discussion thread, an obscure period-8 oscillator can reduce the size of some guns that get period-doubled by a blocker (period-40 and period-56 shown):

Code: Select all

x = 65, y = 28, rule = B3/S23
31bo8b2o3b2o12b2o$6b2o6b2o15b3o5bo2bo2bo12bobo$5bo2bo5b2o18bo4bobo5bo
3b2ob2o2bo$o2bo2bobo24b2o3b2ob6obobobobobob2o$5obob2o27bo2bo7bobo5bobo
$6bo3bo7bo4b2o8bob4o2bo2b2ob2ob2o4bobo$2b2obo4bo6b10o5bo4bo2bo2bo4b2o
5b2o2bo$bo3b2o3bo5b2ob3o10bo3bo6b2o8bo2bo3bo$bobobo4bo6b4o4bob2o3bo5bo
3bobob3o3b5o2bobob2o$2bo3bo3bo7bo3bob2o2bo3bo2bo2bo2b2o3bo2bo2bo3bobo
2b2obo$3b2obob2o18bo4b2o3b2o2b3obob2o2b4o2b2o$4bobobo13b2o3bo11bobo2bo
bo2bobo4b2o$3bo2bobo5b2o10bo10bobob3o3bobo2b3o2bo$3b2o2bo6b2o6bo2bo6b
2o3b2obo7b2o4b2o$22bo9bobo5bob2o$29bo4bo5b2obo$4bob2ob2o5b3obob2o6bo3b
obo$4b2obobo8b3o7b3o4bobo11bo$9bo2b2o4bo4bo13bo4bo4b3o$8bo3b4o2bo4b2o
12bobo6bo$5b2o3bo4b2o2b2o3b2o8bo3b2o3bo3bo$4bo3bob2o3b2o3bo3bo10bo6b6o
$4bobobo6bo4b2o3b3o5b3o6bo$3b2obob2o3bo2bo3b2o5bo14bob2o$2bo2b2obo2bo
2bob3o3b2o19bo2bo$3bo5b2obobo4b2obo22b2o$4b4obo2bo2b3o2bobo$6bobo2b2o
4b2o2bo!

Code: Select all

x = 81, y = 54, rule = B3/S23
40bo3b2o$39bobobo2bo$39bobob2obo$15b2ob2o17b2o2bobo2b2o13b2ob2o$14bobo
bobob2o14bobobob2o11b2obobobobo$14bobo3bobo2bo11bo2b2o3bo9bo2bobo3bobo
$12b2o2bo3bo3b2o11bobo3b2o10b2o3bo3bo2b2o$13bobo5bo16bob3o2b3o11bo5bob
o$13bob7o17bo4bo2bo11b7obo$12b2o4bo21b3obobo15bo4b2o$11bo2b3obob4o10b
2o8bob2o9b4obob3o2bo$11b2o3bo3bo2bo11bo2b4o2bo12bo2bo3bo3b2o$17b3o6b2o
7bobo4bobo8b2o6b3o$17b3o6bo9bobobob2o10bo6b3o$18bo9bo9bobo11bo9bo$19bo
7b2o8bob7o6b2o7bo$14b2o2b2o4b2o9b3o7bo9b2o4b2o2b2o$14bo2bo6bob5o3bo3bo
b2obo6b5obo6bo2bo$15b3o3b2obo4bobo3bobo3b7obobo4bob2o3b3o$12b3o5bobobo
2bo3bo2b2ob3o7bobo3bo2bobobo5b3o$12bo2b3o6bo3b4obo10b2o3b4o3bo6b3o2bo$
14bo3b3ob2ob3o5bob3o7bobo5b3ob2ob3o3bo$15b2o6bobo4b3obo2bobob2o2bob4o
4bobo6b2o$17b5obobo2b2o4bo3b2ob2o3bo4b2o2bobob5o$17bo4b2obob3ob3o5b3o
5b3ob3obob2o4bo$20bo4b3o2bo19bo2b3o4bo$19bob4o6bo8bo8bo6b4obo$19bobo3b
3o4bo7bo7bo4b3o3bobo$20bo3bo2bob2obo6bobo6bob2obo2bo3bo$24b2o2bo3bob2o
9b2obo3bo2b2o$11b2o16b3obobo9bobob3o16b2o$11bo5bo13bobobob7obobobo13bo
5bo$4b2o2b2obobo2bobo9bobo2bo3bo2bo2bo3bo2bobo9bobo2bobob2o2b2o$4bo3bo
bob5obo8b2o3bo2bobo5bobo2bo3b2o8bob5obobo3bo$b2obo5bo7b2o2b2o3b4o4b2o
7b2o4b4o3b2o2b2o7bo5bob2o$obob2o4b2ob3obo4b2ob2o3b3o2b11o2b3o3b2ob2o4b
ob3ob2o4b2obobo$obo4bo5bo3b2ob4o3b3obo5b7o5bob3o3b4ob2o3bo5bo4bobo$bob
3o3bo5bo5bo2b2o4bo19bo4b2o2bo5bo5bo3b3obo$2bo2bob3ob2o4b2obo2bobob2obo
b2o13b2obob2obobo2bob2o4b2ob3obo2bo$3b2o7bo5bob4obobo2bo2bo5b3o5bo2bo
2bobob4obo5bo7b2o$5b6obobo3bo7bo2bobo7bobo3bobo2b2o2bo7bo3bobob6o$5bo
2bo2bob2o4b3o8bo8b3o3b2o12b2ob2o2b2obo2bo2bo$11bo9bo11b2o24b2obo6bo$
10b2o21bo14b2o12bo6b2o$30b2obo10bo4bo4bo4b3o$30bob2ob2o8bo3bobo6bo$35b
o7b3o4b2o3bo3bo$35bo18b6o$32b2ob2o17bo$32bobo19bob2o$34bo5b2o13bo2bo$
34b2o4bo16b2o$41b3o$43bo!

Code: Select all

x = 35, y = 5, rule = B3/S23
4b2o3b2o3bo3b2ob2o3b2ob2o$2o2bobo3bo2bobobobobobobobobobo$obobo2bo2bob
o2bobo2bo2bobo3bobo$2bobo3bobobobo2bo5bobo3bobob2o$b2ob2o3b2ob2o3b2o3b
2ob2o3b2ob2o!

User avatar
Kazyan
Posts: 1247
Joined: February 6th, 2014, 11:02 pm

Re: Execution of Old Guns by Variable-Speed Firing Squad

Post by Kazyan » November 25th, 2021, 9:01 pm

Based on the new p4 G-to-H, here's a smaller p68 gun:

Code: Select all

x = 80, y = 71, rule = LifeHistory
19.2A3.2A2.A2.A.2A.A5.A$19.A.A.A.A2.4A.A.2A3.3A$21.A.A2.2B4.A6.A$16.
2A2.AB2A3BA.3A7.BA$16.A2.B4.3B3A6.A3BA$17.9A3B5.2BA2B$22.BA4.2B3.BA5B
$17.2A.ABA4.B2A4BA5BA$17.2A.2A6.2A.3BA4BA$33.4BAB$33.5B$32.7B$31.A3B.
4B$30.BABA3.4B$29.2B2A5.4B$28.4B7.4B$27.4B9.4B$26.4B11.4B$25.4B13.4B$
24.4B15.4B$23.4B17.2B2A$22.4B19.2A2B$21.4B21.BA2B$20.4B23.4B$19.4B25.
4B$18.4B27.4B$17.4B29.4B$16.4B5.A.2A22.4B$2A13.4B4.3A.A.A22.4B$.A12.A
3B4.A3.A2.A23.4B$.A.AB2.B5.BABA4.A.2A.A.A25.4B$2.2AB.3B3.2B2A5.A.A.A.
A27.4B$4.6B.4B5.2A.A.A30.4B17.2A$4.10B5.A2.B.BAB30.4B16.A$2A2.2B2A5B
5.A.ABA3B.A30.4B12.2A.A$.A3.A2BA3B5.A2.A.3B.2A31.4B8.A.2B.A$A4.BABA4B
4.2A.2AB2A35.4B6.A4BA$2A4.BA6B6.2A20.A18.2B2A5.A2B.3AB$2.A4.2B2.4B5.
2AB14.2A.3A19.2A2B5.A4.2A$2A.A3.2B3.4B4.BA2B2.2A4.2A4.2A23.BA2B3.2B4.
A$.A.A3.B5.4B5.2A.4BA.A2.A.A4.2A21.4B2.2B5.3A$.A.2A.B2A5.4B4.8B2.3A.
5A.A22.6BAB6.A$2A2.BAB2A6.4B4.A6B2A3.A4.A25.4BABAB$2.B2AB.B8.4B4.6A2.
A2.A.AB2.A25.3BA2BA$2.2BAB11.BABA3.6B.2A3.A.A2B.A23.5B2A2B$2A.3B12.B
2AB3.4B8.A2B.2A22.10B$A2.2BA13.A3B3.3B7.3B17.A7.4B.6B$.3A.AB13.9B.3B.
B.2B16.3A6.4B3.3B.B2A$3.A.ABA13.24B8.A8.4B.2B2.B2.BA.A$.3A.A.BA9.10B
2A11BA4B7.2A6.10B6.A$A2.B.A.2A9.10B2A9B3A4B2.B.5B5.4B.7B5.2A$2A2.BA
11.22BABA4B.6B6.4B.9B$5.A.2A7.2AB2.18BA14B4.3AB3.9B$3.A.A.2A6.A.AB4.
7B2.2B2.24BA4.7BABA$3.2A10.A7.6B10.20BA4.9B2AB$14.2A7.4B14.19B3.9B.A
2B$22.5B15.12BA10B2A3B5.B2C$21.5B16.12B3A7BA2BA2B5.BC.C$20.A2.AB15.8B
2.5BA9B2A2B9.C$20.4A16.2A3.B5.5BABA9B10.2C$41.A7.8BA12B$20.2A16.3A6.A
.2AB2.6B.2B5.2A$20.2A16.A6.3AB2AB.7B8.A$44.A4.B4.6B9.3A$45.3A.2A3.6B
11.A$47.A.A5.4B$47.A.A6.5B$48.A10.2A$59.A$60.3A$62.A!
Tanner Jacobi
Coldlander, a novel, available in paperback and as an ebook. Now on Amazon.

Post Reply