It's easy to reduce the Reflectors Plus Period Multipliers count from four to three, with some minor shrinkage in bounding box size, but that doesn't get anywhere near beating the current p819.Kazyan wrote: ↑July 8th, 2021, 1:09 amWe have straightforward period multipliers that can yield 2x, 3x, 4x, 5x, 6x, and 8x periods...but 7x is tricky. Here's an awful proof of concept for a period septupler, in which the output of a quinti-snark (with an eater removed to use the obscure sexti-snark form) crosses paths with the 1x source stream...
Here's an option that uses a syringe and H-to-2G, which greatly expands the number of options available, but there's not much hope of getting reasonable x7 gun sizes:
Code: Select all
x = 91, y = 81, rule = LifeHistory
51.2A2.A$50.A.4A$50.A$48.2A.7A$46.A2.A.A3.B2.A$46.2A2.BA.2A2.2A$50.2A
B2AB$50.5B$51.3B$50.5B$50.BA4B$48.2BABA3B6.2A$48.2BABA4B5.A$49.2BA4B
3.BA.A$48.10B.B2A$47.13B$46.14B$45.15B$44.4B2.8B$43.4B5.6B$42.4B4.10B
$41.4B5.2A4.6B$40.4B7.A4.6B$39.BA2B5.3A4.7B$38.2A2B6.A5.9B$37.2B2A12.
4B.6B$36.4B12.4B2.7B$35.4B12.4B4.B2.4B21.A$34.4B12.4B9.4B19.A.A$33.4B
12.4B11.4B18.A.A$32.4B12.4B13.2B2A16.2A2.2A$31.4B12.4B15.BABA13.BA2.A
.A$30.4B12.4B17.A3B4.2A6.5A2.A$29.4B12.4B19.4B2.B2AB5.AB3.A.A$28.4B
12.4B14.2A5.4B2.3B4.2A2B2A.A$12.2A13.4B12.4B16.A5.4B.B.B4.B2A2B.A$12.
A13.4B12.4B17.A.AB.7B3AB2.B2A2B.A$7.2A5.A10.4B12.4B19.2AB.7BABAB3.2A
2B2A.A$7.A5.2A9.4B12.4B22.3BA5BA2BAB3.AB3.A.A$4.2A.A.3B11.4B12.4B23.
2B2A6BABAB3.5A2.A$4.A2.A.2A2B2A7.4B12.4B24.3ABA6BA2B3.BA2.A.A$6.2A.A.
2B2AB5.4B12.4B22.B.B4A9B.3B2.2A2.2A$9.A.4B5.4B12.4B22.2AB.3BA14B2.A.A
$9.2A.4B3.4B12.4B23.A21B2.A.A$12.3BA6B12.6B7.2A14.AB.3B4A11B3.A$3.2A
7.2BABA4B12.7B7.A18.7BA10B$3.A8.3BA4B13.9B2.BA.A18.7BA12B$2A.A.B3.10B
13.11B.B2A19.5B2A14B$A2.3AB.2B2A7B13.9BA3B14.2A5.14B2A5B$.2A2.BA3B2A
7B14.7BABA2B14.A7.12BA7B$3.4A12B14.7BABA2B11.BA.A9.10BA7B$3.A.2B3.7B.
B2A14.B2.3BA3B8.2B.B2A6.A3.11B4A3B.BA$4.3AB2.7B.BA.A17.6B6.6B7.A.A2.
21BA$7.A4.4B5.A18.6B4.6B8.A.A2.14BA3B.B2A$2.5A5.4B5.2A10.2A5.6B4.7B5.
2A2.2A2.3B.9B4AB.B$2.A10.4B17.A6.6B2.8B6.A.A2.AB3.2BA6BAB3A$4.A9.4B
16.A.AB3.17B4.A2.5A3.BABA6B2A2B$3.2A10.4B10.A5.2AB.20B3.A.A3.BA3.BA2B
A5BA3B$16.4B7.3A7.5B2A15B4.A.2A2B2A3.BABA7B.B2A$17.4B5.A10.5B2A5B3A6B
7.A.2B2AB2.B3A7B.BA.A$18.4B4.2A9.19B9.A.2B2AB4.B.B.4B5.A$11.2A6.9B11.
6B2A9B.2B4.A.2A2B2A4.3B2.4B5.2A$12.A7.6B14.4BABABA4BA4B2A2.A.A3.BA5.B
2AB2.4B$12.A.2A5.6B3.B2.2B2.7B3A2BA4BAB.B2A2.A2.5A6.2A4.3B$13.A2.A4.
29BABABAB2.B4.A.A2.AB14.B2A$14.2AB3.33BA2B6.2A2.2A16.BA.A$15.14B2A17B
.7B8.A.A20.A$16.13B2A16B2.7B8.A.A20.2A$17.29B3.7B9.A$17.17B.B.2B11.6B
.BA$18.15B4.3B10.7BA.A$18.15B5.A2B.2A6.8BA$19.13B5.A.A2B.A6.6B.B$21.
13B2.A.AB2.A7.5B$20.8B4.2A.A.A3.A8.6B$20.6B6.2ABA2.4A.A4.2AB.5B$20.5B
8.B2.A.A3.2A3.A.AB3.4B$20.B.B9.2A.2A.A.A6.A7.4B$21.3B9.A.A3.A.3A2.2A
8.3BA$20.B2AB9.A.A4.A2.A13.3BA$21.2A11.A6.2A15.3A!
Using a glider stopper to +1 the multiplier is not too terribly bulky, but it doesn't work for periods quite as low as 117. Here's an x7 module for period 210, for example:
Code: Select all
x = 91, y = 75, rule = LifeHistory
40.2A5.A16.B2A3B$38.BABAB4.3A7.B4.3BABA4B$38.3AB8.A5.2AB.2A6BA5B2.B.
2BABAB$37.B2AB8.2A5.2ABA2BA2BA2BA10BA2BA3B$38.2A2B7.4B4.3B2A6BA3B.5B
2A8B$38.BABA9.3A3.8BABA8B2A3BA6B$38.2BA2B7.B3AB4.B4.B2A11B2A8B$38.5B
7.A3BA14.BA8BA2BA5B.2A$37.7B5.A5BA12.2A5B3.2BABAB.2BA2.A$37.2A3B2A5.B
A3BAB4.3B4.2B2A15.B3A$37.2A3B2A5.2B3A2B3.6B.4B16.B$37.7B5.7B2.3BA7B
17.A.2A$37.2B3A2B5.7B2.2B3A5B16.3A.2A$37.2B3A2B5.7B3.4A4B16.A$38.2BA
2B7.5B3.9B16.2A$38.5B7.5B2.2B2A6B8.2B$39.4B8.4B3.2B2ABA3B6.6B$25.2A
12.4B8.5B3.2B3A5B2.10B$25.A.A12.4BABA2B3.5B.4BA6BA2B2A4B2A2BA$27.A4.
2A5.3BA3BA21BA3B3A2B3A3BA$23.4A.2A2.A2.A2.4BA25B.A2B2A4B2A2BA$23.A2.A
.A.A.A.2A2.3BA4BA20B4.10B$25.BABABA.A6.3BA10B2.11B7.6B$26.B2ABA.A8.BA
3BA4B4.5B.4B10.2B$27.2B.BA11.BABA2B9.6B$26.3B30.4B$17.2A6.4B29.4B$18.
A6.B2A3B26.4B$18.A.AB3.B2A3B25.4B$19.2AB.10B22.4B$21.13B20.4B$21.14B
18.4B$21.15B6.2A8.4B$23.8B2.4B4.B2AB6.4B$23.6B5.4B3.3B6.4B$22.9B4.4B
3.B.B4.4B$21.4B4.2A5.10B2.4B$20.4B5.A2B5.14B$19.4B6.B3A5.12B$18.4B8.
3BA5.12B$17.4B10.B2AB5.12B$16.4B12.4B3.14B$3.2A10.4B14.4B.17B$4.A9.4B
16.22B$2.A10.4B18.14B2A6B$2.5A5.4B5.2A10.16B2A8B$7.A4.4B5.A11.26B7.2A
$4.3AB2.7B.BA.A9.2AB.25B6.A$3.A.2B3.7B.B2A9.A.AB2.26B.BA.A$3.4A12B11.
A4.27B.B2A$.2A2.BA3B2A7B4.A5.2A3.4B2.24B$A2.3AB.2B2A7B4.3A7.4B4.23B$
2A.A.B3.10B7.A5.4B5.23B$3.A8.3BA4B5.2A4.4B7.21B$3.2A7.2BABA4B4.9B6.2A
B.B.16B$12.3BA6B5.6B6.A.AB2.16B$9.2A.4B3.4B2.8B6.A6.2B2.11B$9.A.4B5.
15B3.2A11.10B$6.2A.A.2B2AB5.14B16.9B$4.A2.A.2A2B2A7.13B17.7B$4.2A.A.
3B11.10B.B2A17.B.4B$7.A5.2A8.8B3.BA.A19.4B$7.2A5.A7.10B5.A20.4B$12.A
9.5B2A2B6.2A20.4B$12.2A11.2B2A2B29.4B$25.5B31.4B$26.3B33.4B$25.5B33.
4B$25.2AB2AB33.4B$21.2A2.BA.2A2.2A31.4B$21.A2.A.A3.B2.A32.4B$23.2A.7A
34.4B$25.A42.3BA$25.A.4A38.3BA$26.2A2.A39.3AB!
Obviously there are a lot of other multipliers that could be +1ed in this way, since you get free choice of semi-, tremi-, or quadri- for the three turns... x7, x9, x13, x17, x19, x25, x33, x37, x49, x65, and a bunch of others would all be about the same size.