I'm looking for period multiplicating Herschel Tracks.

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
kiho park
Posts: 86
Joined: September 24th, 2010, 12:16 am

I'm looking for period multiplicating Herschel Tracks.

Post by kiho park » May 10th, 2013, 10:25 pm

I'm looking for period multiplicating herschel tracks.

such like this p1024*3^n Gun.

Code: Select all

x = 1092, y = 205, rule = LifeHistory
1002.2A$995.2A3.2B2AB$994.B2AB2.4B$995.2B3.6B.B66.2A$996.2B2.10B63.B
2A2B3.2A$995.2B2A11B6.2A8.2A46.4B2.B2AB$152.A215.A215.A215.A191.B.3B
2A12B5.A8.B2AB41.B.6B3.2B$152.3A213.3A213.3A213.3A188.2A18B2.BA.A9.2B
40.10B2.2B$155.A215.A215.A215.A187.2AB.15B3.B2A11.2B3.B17.2A8.2A6.11B
2A2B$154.2A34.A179.2A34.A179.2A34.A179.2A34.A153.B3.18B12.4B.B2A15.B
2AB8.A5.12B2A3B.B$154.4B32.3A177.4B32.3A177.4B32.3A177.4B32.3A155.18B
10.8B2A16.2B9.A.AB2.18B2A$134.2A20.3B34.A14.A141.2A20.3B34.A14.A141.
2A20.3B34.A14.A141.2A20.3B34.A14.A140.19B2.2B2.6B2AB.B12.B3.2B11.2AB
3.15B.B2A$127.2A3.2B2AB18.4B14.4B15.2A12.3A134.2A3.2B2AB18.4B14.4B15.
2A12.3A134.2A3.2B2AB18.4B14.4B15.2A12.3A134.2A3.2B2AB18.4B14.4B15.2A
12.3A140.31B2A14.2AB.4B12.18B3.B$126.B2AB2.4B19.5B12.3B5.B.7B3.3B.2B
7.A136.B2AB2.4B19.5B12.3B5.B.7B3.3B.2B7.A136.B2AB2.4B19.5B12.3B5.B.7B
3.3B.2B7.A136.B2AB2.4B19.5B12.3B5.B.7B3.3B.2B7.A144.7B.24B14.2A8B10.
18B$127.2B3.6B.B14.6B11.4B.13B5.5B6.2A136.2B3.6B.B14.6B11.4B.13B5.5B
6.2A136.2B3.6B.B14.6B11.4B.13B5.5B6.2A136.2B3.6B.B14.6B11.4B.13B5.5B
6.2A143.6B2.28B11.B.B2A6B2.2B2.19B$128.2B2.10B12.8B2.36B2.5B137.2B2.
10B12.8B2.36B2.5B137.2B2.10B12.8B2.36B2.5B137.2B2.10B12.8B2.36B2.5B
142.7B.29B14.2A31B$127.2B2A11B6.2A3.52B138.2B2A11B6.2A3.52B138.2B2A
11B6.2A3.52B138.2B2A11B6.2A3.52B144.6B.29B2A13.24B.7B$124.B.3B2A12B5.
A5.50B2A134.B.3B2A12B5.A5.50B2A134.B.3B2A12B5.A5.50B2A134.B.3B2A12B5.
A5.50B2A137.A6.9B7.4B.14B2A9.28B2.6B$123.2A18B2.BA.A6.7B.22B2A17B2A
133.2A18B2.BA.A6.7B.22B2A17B2A133.2A18B2.BA.A6.7B.22B2A17B2A133.2A18B
2.BA.A6.7B.22B2A17B2A137.3A4.8B9.4B2.11B.B10.29B.7B$123.2AB.15B3.B2A
6.31B2A16B.B134.2AB.15B3.B2A6.31B2A16B.B134.2AB.15B3.B2A6.31B2A16B.B
134.2AB.15B3.B2A6.31B2A16B.B141.A2.8B11.4B2.10B4.2A5.2A29B.6B$124.B3.
18B8.19B2.2B3.23B137.B3.18B8.19B2.2B3.23B137.B3.18B8.19B2.2B3.23B137.
B3.18B8.19B2.2B3.23B142.2A2.7B13.14B4.B2AB4.2A14B.4B7.9B6.A$128.18B7.
17B11.10B2.9B142.18B7.17B11.10B2.9B142.18B7.17B11.10B2.9B142.18B7.17B
11.10B2.9B143.10B15.14B4.3B5.B.11B2.4B9.8B4.3A$129.19B2.2B.15B16.6B3.
8B144.19B2.2B.15B16.6B3.8B144.19B2.2B.15B16.6B3.8B144.19B2.2B.15B16.
6B3.8B146.8B15.13B6.B8.10B2.4B11.8B2.A$129.38B19.3B4.7B145.38B19.3B4.
7B145.38B19.3B4.7B145.38B19.3B4.7B147.8B15.13B4.5B7.14B13.7B2.2A$130.
7B.20B.8B21.B3.11B143.7B.20B.8B21.B3.11B143.7B.20B.8B21.B3.11B143.7B.
20B.8B21.B3.11B141.2B.8B15.8B.2B6.6B5.14B15.10B$130.6B2.16B2A2B3.8B
19.2A2.12B142.6B2.16B2A2B3.8B19.2A2.12B142.6B2.16B2A2B3.8B19.2A2.12B
142.6B2.16B2A2B3.8B19.2A2.12B138.13B15.8B9.6B6.13B15.8B$129.7B.17B2A
2B5.B3.2A20.A2.12B141.7B.17B2A2B5.B3.2A20.A2.12B141.7B.17B2A2B5.B3.2A
20.A2.12B141.7B.17B2A2B5.B3.2A20.A2.12B138.13B15.9B8.6B6.13B15.8B$
129.6B.21B10.A18.3A4.11B141.6B.21B10.A18.3A4.11B141.6B.21B10.A18.3A4.
11B141.6B.21B10.A18.3A4.11B137.14B15.10B7.6B8.2B.8B15.8B.2B$130.9B7.
4B.3B.B12.3A15.A4.4B.8B142.9B7.4B.3B.B12.3A15.A4.4B.8B142.9B7.4B.3B.B
12.3A15.A4.4B.8B142.9B7.4B.3B.B12.3A15.A4.4B.8B138.14B13.7B.4B6.6B11.
8B15.13B$130.8B9.4B19.A20.2A4.7B142.8B9.4B19.A20.2A4.7B142.8B9.4B19.A
20.2A4.7B142.8B9.4B19.A20.2A4.7B137.10B2.4B11.8B2.4B5.6B10.9B15.13B$
129.8B11.4B40.A4.7B141.8B11.4B40.A4.7B141.8B11.4B40.A4.7B141.8B11.4B
40.A4.7B135.B.11B2.4B9.8B4.4B4.5B10.10B15.14B$120.A8.7B13.4B36.3A6.6B
132.A8.7B13.4B36.3A6.6B132.A8.7B13.4B36.3A6.6B132.A8.7B13.4B36.3A6.6B
134.2A14B.4B7.9B5.4B2.6B9.4B.7B13.14B$120.3A6.6B15.4B35.A8.7B131.3A6.
6B15.4B35.A8.7B131.3A6.6B15.4B35.A8.7B131.3A6.6B15.4B35.A8.7B133.2A
29B.6B5.4B2.6B7.4B2.8B11.4B2.10B$123.A4.7B16.4B43.8B133.A4.7B16.4B43.
8B133.A4.7B16.4B43.8B133.A4.7B16.4B43.8B133.19B2A8B.7B6.11B6.4B4.8B9.
4B2.11B.B$122.2A4.7B17.4B43.8B131.2A4.7B17.4B43.8B131.2A4.7B17.4B43.
8B131.2A4.7B17.4B43.8B132.28B2.6B8.9B6.4B5.9B7.4B.14B2A$122.4B.8B18.
4B42.8B131.4B.8B18.4B42.8B131.4B.8B18.4B42.8B131.4B.8B18.4B42.8B136.
15BABA6B.7B9.8B5.4B5.6B.29B2A$124.11B19.4B40.6B2.B2A131.11B19.4B40.6B
2.B2A131.11B19.4B40.6B2.B2A131.11B19.4B40.6B2.B2A134.2A17BA13B9.7B2.B
.4B6.7B.8BA20B$123.12B20.4B39.7B.BA.A129.12B20.4B39.7B.BA.A129.12B20.
4B39.7B.BA.A129.12B20.4B39.7B.BA.A130.B.B2A6B2.2B2.3B2ABAB2A9B10.13B
8.6B2.7B2A19B$123.12B21.4B22.2A15.6B4.A129.12B21.4B22.2A15.6B4.A129.
12B21.4B22.2A15.6B4.A129.12B21.4B22.2A15.6B4.A129.2A8B10.3B2ABA11B10.
11B9.7B.6B3A15B$123.11B23.4B22.A8.B4.8B4.2A128.11B23.4B22.A8.B4.8B4.
2A128.11B23.4B22.A8.B4.8B4.2A128.11B23.4B22.A8.B4.8B4.2A128.2AB.4B12.
5BA12B3.B6.10B9.10BABA2BA15B2A$124.7B27.4B21.A.AB3.4B.6B2AB136.7B27.
4B21.A.AB3.4B.6B2AB136.7B27.4B21.A.AB3.4B.6B2AB136.7B27.4B21.A.AB3.4B
.6B2AB136.B3.2B11.2AB3.15B.B2A6.9B9.10BABAB2A3B2.2B2.6B2AB.B$117.2A5.
8B27.4B21.2AB.13B2A2B128.2A5.8B27.4B21.2AB.13B2A2B128.2A5.8B27.4B21.
2AB.13B2A2B128.2A5.8B27.4B21.2AB.13B2A2B140.2B9.A.AB2.18B2A7.9B7.11B
3A4B10.8B2A$118.A6.8B27.4B22.18B130.A6.8B27.4B22.18B130.A6.8B27.4B22.
18B130.A6.8B27.4B22.18B140.B2AB8.A5.12B2A3B.B7.9B4.B3.18B12.4B.B2A$
118.A.AB2.8B29.4B21.17B131.A.AB2.8B29.4B21.17B131.A.AB2.8B29.4B21.17B
131.A.AB2.8B29.4B21.17B142.2A8.2A6.11B2A2B11.7B4.2AB.15B3.B2A11.2B3.B
$119.2AB.10B29.4B21.13B135.2AB.10B29.4B21.13B135.2AB.10B29.4B21.13B
135.2AB.10B29.4B21.13B163.10B2.2B11.8B4.2A18B2.BA.A9.2B$121.12B30.4B
22.12B136.12B30.4B22.12B136.12B30.4B22.12B136.12B30.4B22.12B164.B.6B
3.2B9.ABA6B5.B.3B2A12B5.A8.B2AB$121.12B31.4B23.10B136.12B31.4B23.10B
136.12B31.4B23.10B136.12B31.4B23.10B168.4B2.B2AB7.B2A7B8.2B2A11B6.2A
8.2A$121.9B2.B2A30.4B22.11B135.9B2.B2A30.4B22.11B135.9B2.B2A30.4B22.
11B135.9B2.B2A30.4B22.11B166.B2A2B3.2A7.3BA3.3B10.2B2.10B$122.8B2.BA.
A30.4B22.2B.7B136.8B2.BA.A30.4B22.2B.7B136.8B2.BA.A30.4B22.2B.7B136.
8B2.BA.A30.4B22.2B.7B167.2A13.4B16.2B3.6B.B$123.6B6.A31.4B21.11B136.
6B6.A31.4B21.11B136.6B6.A31.4B21.11B136.6B6.A31.4B21.11B180.4B16.B2AB
2.4B$124.6B5.2A31.4B19.11B138.6B5.2A31.4B19.11B138.6B5.2A31.4B19.11B
138.6B5.2A31.4B19.11B180.4B18.2A3.2B2AB$115.2A7.5B40.4B18.11B129.2A7.
5B40.4B18.11B129.2A7.5B40.4B18.11B129.2A7.5B40.4B18.11B179.4B26.2A$
115.A6.7B41.4B17.11B129.A6.7B41.4B17.11B129.A6.7B41.4B17.11B129.A6.7B
41.4B17.11B178.4B$116.3A2.8B42.4B16.8B2.B2A128.3A2.8B42.4B16.8B2.B2A
128.3A2.8B42.4B16.8B2.B2A128.3A2.8B42.4B16.8B2.B2A175.4B$118.A12B41.
4B15.7B3.BA.A129.A12B41.4B15.7B3.BA.A129.A12B41.4B15.7B3.BA.A129.A12B
41.4B15.7B3.BA.A173.4B$120.11B42.4B14.7B6.A131.11B42.4B14.7B6.A131.
11B42.4B14.7B6.A131.11B42.4B14.7B6.A172.4B$120.4B2A5B43.4B13.6B7.2A
130.4B2A5B43.4B13.6B7.2A130.4B2A5B43.4B13.6B7.2A130.4B2A5B43.4B13.6B
7.2A170.4B$121.3B2A5B44.4B11.7B140.3B2A5B44.4B11.7B140.3B2A5B44.4B11.
7B140.3B2A5B44.4B11.7B178.4B$121.10B45.4B9.8B140.10B45.4B9.8B140.10B
45.4B9.8B140.10B45.4B9.8B177.4B$122.9B46.4B7.8B142.9B46.4B7.8B142.9B
46.4B7.8B142.9B46.4B7.8B177.4B$122.9B47.4B5.9B142.9B47.4B5.9B142.9B
47.4B5.9B142.9B47.4B5.9B176.4B$122.8B49.4B3.4B.6B141.8B49.4B3.4B.6B
141.8B49.4B3.4B.6B141.8B49.4B3.4B.6B174.4B$123.8B49.4B.4B.7B142.8B49.
4B.4B.7B142.8B49.4B.4B.7B142.8B49.4B.4B.7B173.4B$124.6B51.7B2.6B144.
6B51.7B2.6B144.6B51.7B2.6B144.6B51.7B2.6B173.4B$124.6B4.2A46.5B3.6B
144.6B4.2A46.5B3.6B144.6B4.2A46.5B3.6B144.6B4.2A46.5B3.6B172.4B$124.
6B4.A47.5B4.B2A2B144.6B4.A47.5B4.B2A2B144.6B4.A47.5B4.B2A2B144.6B4.A
47.5B4.B2A2B171.4B$123.7B.BA.A47.6B2.2B2A3B142.7B.BA.A47.6B2.2B2A3B
142.7B.BA.A47.6B2.2B2A3B142.7B.BA.A47.6B2.2B2A3B169.4B$123.6B.2B2A46.
2AB2.4B.7B142.6B.2B2A46.2AB2.4B.7B142.6B.2B2A46.2AB2.4B.7B142.6B.2B2A
46.2AB2.4B.7B168.4B$124.8B47.A.AB3.4B.5B144.8B47.A.AB3.4B.5B144.8B47.
A.AB3.4B.5B144.8B47.A.AB3.4B.5B168.4B$124.8B47.A7.9B144.8B47.A7.9B
144.8B47.A7.9B144.8B47.A7.9B167.4B$123.8B47.2A8.8B143.8B47.2A8.8B143.
8B47.2A8.8B143.8B47.2A8.8B166.4B$114.A8.7B59.7B134.A8.7B59.7B134.A8.
7B59.7B134.A8.7B59.7B165.4B$114.3A6.6B61.6B7.2A125.3A6.6B61.6B7.2A
125.3A6.6B61.6B7.2A125.3A6.6B61.6B7.2A155.4B$117.A4.7B53.2A5.7B7.A
129.A4.7B53.2A5.7B7.A129.A4.7B53.2A5.7B7.A129.A4.7B53.2A5.7B7.A155.4B
$116.2A4.7B54.A6.7B3.BA.A128.2A4.7B54.A6.7B3.BA.A128.2A4.7B54.A6.7B3.
BA.A128.2A4.7B54.A6.7B3.BA.A154.4B$116.4B.8B54.A.AB.11B.B2A129.4B.8B
54.A.AB.11B.B2A129.4B.8B54.A.AB.11B.B2A129.4B.8B54.A.AB.11B.B2A154.4B
$109.A8.11B55.2AB.2BA10B124.A8.11B55.2AB.2BA10B124.A8.11B55.2AB.2BA
10B124.A8.11B55.2AB.2BA10B155.4B$109.3A5.12B57.3BABA10B123.3A5.12B57.
3BABA10B123.3A5.12B57.3BABA10B123.3A5.12B57.3BABA10B153.4B$112.A4.12B
57.3BABA9B127.A4.12B57.3BABA9B127.A4.12B57.3BABA9B127.A4.12B57.3BABA
9B153.4B$111.2A4.11B60.2BA8B.B2A124.2A4.11B60.2BA8B.B2A124.2A4.11B60.
2BA8B.B2A124.2A4.11B60.2BA8B.B2A150.4B$111.4B3.7B65.8B2.BA.A123.4B3.
7B65.8B2.BA.A123.4B3.7B65.8B2.BA.A123.4B3.7B65.8B2.BA.A148.4B$113.3B
2.8B64.3B2.4B4.A125.3B2.8B64.3B2.4B4.A125.3B2.8B64.3B2.4B4.A125.3B2.
8B64.3B2.4B4.A147.4B$113.14B61.5B3.4B3.2A124.14B61.5B3.4B3.2A124.14B
61.5B3.4B3.2A124.14B61.5B3.4B3.2A145.4B$112.16B60.2AB6.4B127.16B60.2A
B6.4B127.16B60.2AB6.4B127.16B60.2AB6.4B148.4B$109.B.17B.B59.A8.4B123.
B.17B.B59.A8.4B123.B.17B.B59.A8.4B123.B.17B.B59.A8.4B146.4B$108.2AB.
17B2A55.3A10.4B121.2AB.17B2A55.3A10.4B121.2AB.17B2A55.3A10.4B121.2AB.
17B2A55.3A10.4B144.4B$108.2A19B2A55.A13.4B120.2A19B2A55.A13.4B120.2A
19B2A55.A13.4B120.2A19B2A55.A13.4B142.4B$109.2B.18B71.4B120.2B.18B71.
4B120.2B.18B71.4B120.2B.18B71.4B140.4B$112.13B2.5B70.4B122.13B2.5B70.
4B122.13B2.5B70.4B122.13B2.5B70.4B138.4B$114.10B6.2A71.4B123.10B6.2A
71.4B123.10B6.2A71.4B123.10B6.2A71.4B136.4B$114.9B7.A73.4B122.9B7.A
73.4B122.9B7.A73.4B122.9B7.A73.4B134.4B$114.9B8.3A71.4B121.9B8.3A71.
4B121.9B8.3A71.4B121.9B8.3A71.4B132.4B$115.8B10.A72.4B121.8B10.A72.4B
121.8B10.A72.4B121.8B10.A72.4B130.4B$109.2A5.7B84.4B114.2A5.7B84.4B
114.2A5.7B84.4B114.2A5.7B84.4B128.4B$110.A5.6B86.4B114.A5.6B86.4B114.
A5.6B86.4B114.A5.6B86.4B126.4B$110.A.AB2.9B84.4B113.A.AB2.9B84.4B113.
A.AB2.9B84.4B113.A.AB2.9B84.4B124.4B$111.2AB.10B85.4B113.2AB.10B85.4B
113.2AB.10B85.4B113.2AB.10B85.4B122.4B$113.11B2A85.4B114.11B2A85.4B
114.11B2A85.4B114.11B2A85.4B120.4B$113.11B2A86.4B113.11B2A86.4B113.
11B2A86.4B113.11B2A86.4B118.4B$113.10B.B88.4B112.10B.B88.4B112.10B.B
88.4B112.10B.B88.4B116.4B$114.9B91.4B112.9B91.4B112.9B91.4B112.9B91.
4B114.4B$114.7B2A92.4B111.7B2A92.4B111.7B2A92.4B111.7B2A92.4B112.4B$
114.7B2AB92.4B110.7B2AB92.4B110.7B2AB92.4B110.7B2AB92.4B110.4B$113.
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2AB18.4B14.4B15.2A12.3A134.2A3.2B2AB18.4B14.4B15.2A12.3A134.2A3.2B2AB
18.4B14.4B15.2A12.3A134.2A3.2B2AB18.4B14.4B15.2A12.3A$26.2A20.3B34.A
14.A141.2A20.3B34.A14.A141.2A20.3B34.A14.A141.2A20.3B34.A14.A141.2A
20.3B34.A14.A$46.4B32.3A177.4B32.3A177.4B32.3A177.4B32.3A177.4B32.3A$
46.2A34.A179.2A34.A179.2A34.A179.2A34.A179.2A34.A$47.A215.A215.A215.A
215.A$44.3A213.3A213.3A213.3A213.3A$44.A215.A215.A215.A215.A!
And this

Code: Select all

x = 76, y = 59, rule = LifeHistory
8.4B.B21.C12.4B.B21.C$9.7B8.C8.3C13.7B8.C8.3C$10.6B6.3C7.C17.6B6.3C7.
C$10.2B3C2B4.C10.2C16.2B3C2B4.C10.2C$10.2BC4B4.2C7.4B16.2BC4B4.2C7.4B
$10.B3C4B.4B6.3B18.B3C4B.4B6.3B$10.11B7.4B18.11B7.4B$10.12B5.4B19.12B
5.4B$10.12B4.4B20.12B4.4B$11.11B3.4B22.11B3.4B$14.7B3.4B26.7B3.4B$13.
8B2.4B26.8B2.4B$12.14B26.14B$11.16B24.16B$9.B.17B.B19.B.17B.B$8.2C17B
.B2C17.2C17B.B2C$8.2C19B2C17.2C19B2C$9.18B.2B19.18B.2B$7.5B2.13B20.5B
2.13B$7.2C6.10B22.2C6.10B$8.C7.9B23.C7.9B$5.3C8.9B20.3C8.9B$5.C10.9B
20.C10.9B$6.2C7.11B20.2C7.11B$7.C5.13B21.C5.13B$2.C4.C.CB.16B5.2C7.C
4.C.CB.16B5.2C$2.3C3.2CB.17B4.C8.3C3.2CB.17B4.C$5.C4.19B.BC.C11.C4.
19B.BC.C$4.2CB2.20B.B2C11.2CB2.20B.B2C$4.17B2D8B13.17B2C8B$6.15B2D8B
15.15B2C8B$4.27B13.27B$4.25B15.25B$3.2C20B2.4B12.2C20B2.4B$3.2C11B.6B
6.2C.C10.2C11B.6B6.2C.C$4.B.9B2.6B6.2CB3C9.B.9B2.6B6.2CB3C$7.9B.5B8.B
4.C11.9B.5B8.B4.C$7.5B2C2B.5B7.2C.3C12.5B2C2B.5B7.2C.3C$9.3B2CB3.3B9.
C.C16.3B2CB3.3B9.C.C$10.6B2.3B9.C.C17.6B2.3B9.C.C$10.8B.B11.C18.8B.B
11.C$9.10B30.10B$9.6B.4B29.6B.4B$10.9B31.9B$10.8B32.8B$9.8B32.8B$9.7B
33.7B$9.6B34.6B$8.7B33.7B$8.7B33.7B$3.B3.8B28.B3.8B$.14B26.14B$.14B
26.14B$2C13B25.2C13B$2CB.10B26.2CB.10B$.B2.6B31.B2.6B$5.4B36.4B$5.2B
2CB35.2B2CB$7.2C38.2C!
And p103079214841 gun

Code: Select all

x = 297, y = 227, rule = LifeHistory
193.2A72.2A$193.A73.A$194.A73.A$182.A10.2A61.A10.2A$182.3A71.3A$185.A
73.A$172.A11.2A60.A11.2A$170.3A71.3A$169.A40.A32.A40.A$169.2A19.2A16.
3A32.2A37.3A$155.2A33.2A15.A21.2A50.A$156.A50.2A21.A50.2A$156.A.A71.A
.A$157.2A72.2A2$176.2A72.2A$176.2A72.2A6$173.2A36.2A34.2A36.2A$77.2A
94.A19.2A16.A.A33.A19.2A16.A.A$77.2A5.2A88.3A15.A.A18.A34.3A15.A.A18.
A$84.2A90.A15.A20.2A35.A15.A20.2A$48.2A97.A.2A19.2A19.2A4.2A22.A.2A
19.2A19.2A4.2A$49.A97.2A.A19.A25.A.A22.2A.A19.A25.A.A$36.A11.A14.2A
17.2A87.3A22.A48.3A22.A$36.3A9.2A14.A17.2A89.A21.2A7.2A41.A21.2A7.2A$
39.A24.A.A21.2A114.2A72.2A$26.2A10.2A25.2A21.2A$27.A$27.A.A$13.2A13.
2A$13.2A36.2A$51.2A$195.A18.2A53.A18.2A$7.2A140.2A43.A.A17.A8.2A43.A.
A17.A$7.2A139.A.A44.A16.A.A7.A.A44.A16.A.A$11.2A135.A63.2A8.A63.2A$
11.2A134.2A44.5A23.2A44.5A$192.A4.A68.A4.A$61.2A99.2A27.A2.A41.2A27.A
2.A$42.2A18.A28.2A69.2A24.A2.A.2A41.2A24.A2.A.2A$6.2A34.A16.3A29.A95.
A.A.A5.A63.A.A.A5.A$6.2A35.3A13.A29.A.A77.A.2A15.A2.A4.A.A44.A.2A15.A
2.A4.A.A$45.A43.2A78.2A.A18.2A2.A2.A44.2A.A18.2A2.A2.A$26.A3.2A120.2A
42.2A28.2A42.2A$25.A.A3.A120.2A72.2A$25.2A3.A111.2A72.2A$29.A113.A73.
A$25.5A.A111.A.A71.A.A$25.A4.2A112.2A72.2A$26.3A$9.A18.A.2A$7.3A19.A.
A$6.A$6.2A186.2A16.2A54.2A16.2A$9.2A77.2A104.2A16.2A54.2A16.2A$4.5A.A
61.2A14.2A$4.A21.2A45.A22.2A$6.A.2A16.A.A41.3A23.A51.2A72.2A$5.2A.2A
18.A41.A23.A.A50.A.A39.2A30.A.A39.2A$28.2A64.2A51.A42.A30.A42.A$20.2A
124.2A42.A.A27.2A42.A.A$20.2A169.2A72.2A$200.2A72.2A$4.2A70.A123.2A
72.2A$4.2A70.3A$79.A$78.2A83.2A72.2A$163.2A72.2A$154.2A72.2A$153.A.A
27.2A42.A.A27.2A$153.A30.A42.A30.A$152.2A30.A.A39.2A30.A.A$96.2A87.2A
72.2A$21.2A73.A$21.A.A70.A.A$23.A70.2A61.2A16.2A54.2A16.2A$23.2A132.
2A16.2A54.2A16.2A2$77.2A$77.2A15.2A$94.A.A$5.2A89.A84.2A72.2A$4.A.A
23.A65.2A82.A.A71.A.A$4.A23.3A149.A73.A$3.2A22.A151.2A72.2A$11.2A14.
2A160.2A72.2A$11.2A64.2A80.2A28.2A42.2A28.2A$77.A76.2A2.A2.A7.A36.2A.
A18.2A2.A2.A44.2A.A$75.A.A73.A2.A4.A.A6.A.A35.A.2A15.A2.A4.A.A44.A.2A
$75.2A73.A.A.A5.A6.2A.2A52.A.A.A5.A$151.A2.A.2A9.A2.A28.2A24.A2.A.2A
41.2A$154.A2.A8.A3.A28.2A27.A2.A41.2A$155.A4.A9.A58.A4.A$92.2A.A60.5A
23.2A44.5A$92.A.2A79.2A8.A63.2A$158.A16.A.A7.A.A44.A16.A.A$85.2A70.A.
A17.A8.2A43.A.A17.A$85.2A71.A18.2A53.A18.2A$10.2A13.2A236.2A18.A$9.A.
A13.2A237.A17.A.A$9.A254.A.A16.A$8.2A255.2A$27.A253.5A$26.A.A252.A4.A
$27.A47.2A91.A72.2A41.A2.A$28.3A45.A81.2A7.2A41.A21.2A7.2A41.2A.A2.A$
30.A45.A.A80.A48.3A22.A47.A5.A.A.A$77.2A80.A.A22.2A.A19.A25.A.A44.A.A
4.A2.A$154.2A4.2A22.A.2A19.2A19.2A4.2A44.A2.A2.2A$136.2A17.A20.2A35.A
15.A20.2A29.2A$20.2A115.A17.A.A18.A34.3A15.A.A18.A$20.2A74.A27.A11.A
19.2A16.A.A33.A19.2A16.A.A$94.3A27.3A9.2A36.2A34.2A36.2A$93.A33.A$11.
2A80.2A19.2A10.2A$11.2A84.2A16.A$46.2A50.A16.A.A$46.2A48.A19.2A$96.2A
41.2A72.2A$139.2A72.2A50.2A16.2A$12.2A152.2A97.2A16.2A$13.A152.2A26.
2A$10.3A3.2A175.A.A$10.A4.A.A152.2A21.A50.2A43.2A$15.A83.2A69.A21.2A
50.A44.A$14.2A64.2A17.2A70.3A32.2A37.3A39.A.A$13.A66.2A91.A32.A40.A
39.2A$13.3A25.2A87.2A75.3A$16.A24.A88.A16.2A60.A11.2A14.2A38.2A$15.2A
25.3A34.2A50.3A14.A73.A15.A38.2A$44.A35.A52.A11.3A71.3A15.A$77.3A12.
2A51.A10.2A61.A10.2A5.2A10.A$16.2A19.2A38.A14.A64.A73.A15.3A$16.2A19.
2A54.3A60.A73.A15.A$89.2A4.A60.2A72.2A14.2A13.2A$89.A.A170.A$91.3A
127.A39.A31.A$90.A3.A.2A123.3A37.2A28.3A$90.2A2.2A.A126.A65.A$223.2A
65.2A4$254.2A$29.2A223.2A$29.A$30.3A260.2A$32.A260.A.A$295.A$295.2A$
162.2A55.2A36.2A$8.2A3.2A103.2A42.2A54.A.A16.2A19.A$9.A2.A.A103.A99.A
18.A.A15.3A25.2A3.2A$8.A3.A106.A97.2A20.A15.A6.A11.2A7.2A3.2A$8.5A
105.2A48.2A63.2A4.2A19.3A11.A$168.2A63.A.A23.A15.3A$6.5A153.2A69.A23.
2A16.A$5.A4.A153.2A60.2A7.2A$4.A2.A218.2A$.A2.A.2A135.2A$A.A.A5.A63.
2A39.2A26.2A$.A2.A4.A.A9.2A51.2A39.2A52.2A$4.2A2.A2.A9.2A146.2A$9.2A
19.2A37.2A$28.A2.A37.2A$28.2A186.2A$33.2A182.A$33.A111.2A70.A.A$31.A.
A71.2A38.A.A70.2A$30.A.A72.A41.A$26.2A3.A20.A53.3A11.2A25.2A$26.2A23.
A.A54.A11.2A$50.A2.A$8.2A41.2A183.2A$8.2A56.A67.2A100.A$62.2A2.A.A65.
A99.A.A$62.2A2.2A67.3A96.2A$137.A11.2A$124.2A22.A.A23.A$125.A22.A23.
3A$122.3A22.2A22.A$122.A32.2A14.2A$155.2A$75.2A$9.2A64.2A$8.A.A60.2A$
8.A62.A.A$7.2A64.A$73.2A158.2A$60.2A155.2A14.2A$60.2A156.A22.2A$215.
3A23.A$12.2A3.2A.A194.A23.A.A$13.A3.2A.3A35.2A109.2A2.2A.2A61.2A$10.
3A10.A34.2A94.2A13.A.A2.A.A$10.A6.2A.3A130.A.A16.2A3.A7.A$18.A.A132.A
19.A.2A6.3A$18.A.A131.2A16.A2.A.A6.A38.A$19.A149.A.A.A.A6.2A37.3A$
170.2A.2A49.A$202.A20.2A$200.3A16.2A$199.A19.A$186.2A11.2A20.A$186.2A
32.2A6$155.2A60.2A$155.2A60.2A17.2A$161.2A73.2A$161.2A$180.2A$176.2A
2.A2.2A52.2A$159.2A16.A3.A.2A52.A$159.2A5.2A9.A.A.A42.2A12.3A$166.2A
10.2A.A.2A22.2A16.A14.A$181.A2.A4.2A16.A14.3A$181.2A6.2A17.3A11.A$
210.A!
Can small adjustable spaceships overrun the speed limit of (|x|+|y|)/P = 1?

## B0 rules are the best! ##

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

Post by dvgrn » May 15th, 2013, 2:04 am

kiho park wrote:I'm looking for period multiplicating herschel tracks.
This seems to be one of those odd corners of Conway's Life signal-processing technology that nobody has quite managed to document properly. The wiki, for example, doesn't appear to acknowledge their existence.

I'll post a separate LifeHistory pattern for period doublers, triplers, quadruplers, and quintuplers. Reply to this thread if you know of other reasonably efficient period multipliers that are missing from these collections, and I'll edit the patterns here to include them. I know I don't have Paul Callahan's stable glider-to-Herschel-converter doubler -- will add that shortly.

Some of the larger multipliers are obsolete for most purposes. They're included mostly for the sake of (semi-) completeness.

Period doublers [EDIT: added Paul Callahan's 1996 G-to-H doubler and MikeP's H-to-G, EDIT2: and Guam's semi-Snark and a more compact variant of Dean Hickerson's boat-bit stopper, EDIT3: and even-period doublers based on Kazyan's Bellman results], EDIT4: and Sphenocorona's alternating-output doubler, EDIT5: and gmc_nxtman's multi-glider-output doubler, EDIT6: and Kazyan's HR48B, which simeks made into a couple of versions of color-preserving semi-Snarks, EDIT7: and Kazyan's color-preserving semi-Snark], EDIT8: and Rhombic's alternate FNG output pulse divider, EDIT8.5: and cvojan's loaf doubler EDITn and Gustone's SE2T55 doubler EDITn+1 and Kazyan's May 2022 2H-to-Gs from Discord:

Code: Select all

x = 334, y = 761, rule = LifeHistory
276.4D14.4D$275.D4.D12.D4.D$275.D17.D$275.D11.D5.D$275.D12.D4.D$275.D
2.3D3.6D3.D2.3D$275.D4.D7.D4.D4.D$275.D4.D6.D5.D4.D$275.D4.D12.D4.D$
276.4D14.4D5$35.D4.D12.D4.D109.D4.D13.4D85.4D13.D4.D$35.D4.D12.D4.D
109.D4.D12.D4.D83.D4.D12.D4.D$35.D4.D12.D4.D109.D4.D12.D88.D17.D4.D$
35.D4.D6.D5.D4.D109.D4.D6.D5.D88.D11.D5.D4.D$35.D4.D7.D4.D4.D109.D4.D
7.D4.D88.D12.D4.D4.D$35.6D3.6D3.6D109.6D3.6D3.D2.3D83.D2.3D3.6D3.6D$
35.D4.D7.D4.D4.D109.D4.D7.D4.D4.D83.D4.D7.D4.D4.D$35.D4.D6.D5.D4.D
109.D4.D6.D5.D4.D83.D4.D6.D5.D4.D$35.D4.D12.D4.D109.D4.D12.D4.D83.D4.
D12.D4.D$35.D4.D12.D4.D109.D4.D13.4D85.4D13.D4.D5$214.D$213.D$213.3D
18$60.A$49.A9.A.A$49.3A7.A.A122.2A122.A22.A$52.A5.2A.3A119.B2AB121.3A
6.2A11.A.A$51.2A6.B4.A109.2A8.3B124.A4.B2AB9.2BAB$39.2A10.5B.B2AB3A
111.A7.B.B124.2A4.3B11.2B$38.B2AB11.3B.B2A.A113.A.AB3.6B122.5B2.B2.2B
2.9B$39.3B8.8B118.2AB.8B6.2A116.15BD6B$31.4B3.B.B8.9B112.2A6.10B6.A
116.2A14BDBD4B$32.4B.6B6.8B114.A6.11B2.BA.A116.2A3B2A9B3D4B$33.10B4.
10B114.A.AB2.13B.B2A118.B.2B2A11BD4B$25.2A7.24B114.2AB.16B122.19B$26.
A8.23B116.18B124.7B$26.A.AB6.17B2D5B114.17B125.6B$27.2AB.3B2.17B2D7B
113.16B86.A20.E7.E8.8B$29.35B110.8B2D7B85.A.A7.A11.3E5.3E7.6B$29.36B
107.10B2D7B85.BA2B4.3A14.E7.E6.6B$30.34B105.21B75.2E10.2B4.A16.2EB5.
2E7.6B$29.33B105.5BC15B78.E7.4B5.2A15.4B4.4B5.7B$27.31B109.5BCBC12B
79.EBEB3.6B3.3B3.7B.B5.3B5.3B4.6B$25.19B3.12B.2B.3B.B2.B96.5B3C12B80.
2E2B2.5B2.3B5.13B.4B4.13B$25.2BC15B5.30B89.7BC4B3.6B80.55B$24.3BCBC4B
.7B6.13B2A11BD4B88.11B5.5B81.54B$25.2B3C4B2.6B7.12B2A9B3D4B88.4B2.4B
6.5B82.53B$24.5BC4B3.6B8.21BDBD4B87.4B2.4B7.B2A2B75.2A5.20B2A32B$23.
10B6.4B6.23BD6B86.4B2.4B9.2A78.A5.20B2A34B$22.4B12.B2A2B6.2A.11B2.2B
2.10B78.2A8.B2.4B90.A.AB2.27B3.2B2.22B$21.4B14.2A.B2A5.A2.9B10.7B77.B
2AB9.4B92.2AB.9B.B3.B2.10B11.20B$42.BA.A.3A3.9B12.5B78.2B108.11B9.6B
16.18B$20.2A23.A.A4.8B15.4B77.2B109.11B10.3B19.17B$21.A23.2A4.2AB.4B
24.E71.BA2B.B106.9B.B2A8.B20.19B$18.3A29.A.AB.2B2AB22.2E71.A.A3B107.
7B2.BA.A6.2A20.21B$18.A31.A6.2A97.A.3B106.8B5.A6.A21.21B$49.2A102.3A
4.B107.8B4.2A6.A22.20B$153.A115.7B11.2A21.20B$266.11B33.19B$161.E103.
11B35.18B$161.2E102.11B35.17B$265.11B36.16B$265.8B2.B2A35.14B$265.7B
3.BA.A34.13B$265.7B6.A33.11B$265.6B7.2A33.9B$264.7B44.7B$263.8B46.4B$
262.8B46.4B$169.2E91.8B45.4B$35.A133.E90.2EB2.6B43.4B$35.3A221.E.EB.
7B42.4B$38.A220.E4.6B42.4B$37.2A4.2B213.2E4.6B41.4B$25.2A10.8B219.6B
40.4B$26.A12.7B217.8B38.4B$26.A.AB7.9B218.8B36.4B$27.2AB.3B3.10B216.
9B35.4B$29.19B25.A189.9B34.4B$29.18B24.3A105.4B80.10B32.4B$30.15B25.A
109.4B79.5B2A3B31.4B$29.15B26.2A109.4B78.5B2A4B29.4B$27.17B14.A8.5B
110.4B77.11B28.4B$25.19B14.3A5.4B113.6B74.12BA.2A22.4B$25.2BC15B18.A
3.7B10.2A99.8B74.8B2.2A.A21.4B$24.3BCBC4B.3B2D4B16.2A2.9B10.A99.8B74.
7B27.B.2B$25.2B3C4B2.2B2D3B14.B2.3B.11B8.A.A96.9B74.6B27.4B$24.5BC4B
2.7B13.3B3.13B9.2A96.9B74.6B26.4B$23.10B3.7B4.A8.18B2A11.2A93.10B73.
7B24.4B$22.4B10.7B4.3A6.18B2A11.ABA92.11B70.8B24.4B$21.4B12.6B7.A4.
18B.B12.A3B89.5B2.6B70.8B23.4B$37.7B5.2A3.18B16.4B78.2A8.5B2.4B71.9B.
BA19.4B$20.2A15.6B6.4B.20B15.4B78.A9.9B72.10BA.A17.4B$21.A14.6B9.24B
2.7B.B4.4B77.A.AB5.10B71.3B.7B.2A16.4B$18.3A15.6B9.24B2.13B.4B77.2AB.
3B.10B70.10B20.4B$18.A16.8B9.50B72.17B69.10B19.4B$36.6B8.B2.45BD4B71.
17B68.12B17.4B$36.7B5.48B3D4B72.15B69.11B17.4B$34.45B2A15BDBD3B.E70.
15B70.10B17.4B$32.B.2B2A13B2A26B2A15BD5B2E68.17B69.8B19.4B$31.2A3B2A
13B2A21B.11B3.2B2.10B62.2B2.20B69.8B18.4B$31.2A40B2.10B11.7B61.8BC9B
2D5B68.10B16.4B$32.41B3.6B16.5B61.8BCBC4B.BD2BD5B67.10B15.4B$30.5B2.B
2.2B2.28B5.3B19.4B61.8B3C4B.2B2D5B66.13B13.4B$30.2A4.3B7.4B2.7B.13B4.
B86.10BC4B2.7B66.14B12.4B$31.A4.B2AB12.6B2.13B3.2A86.14B3.7B66.15B10.
4B$28.3A6.2A15.3B3.11B5.A87.2B.4B10.7B62.2B.17B8.4B$28.A26.B4.9B8.A
88.4B12.4B63.2A20B6.4B$61.8B7.2A87.4B14.5B61.2A20B5.4B$61.8B95.4B5.4B
9.2A62.2B.2AB.15B3.4B$61.6B88.2A6.4B19.A66.2AB2.15B.4B$62.5B87.B2AB4.
4B21.3A67.10B2A8B$62.3B90.3B3.4B24.A67.10B2A7B$154.B.B3.4B5.B87.18B$
153.10B5.2B86.20B$151.11B5.3B86.20B$150.11B5.4B87.B.18B$26.A121.12B5.
4B89.20B.B$25.A.A119.12B5.4B91.18B.B2A$26.A102.A16.14B3.4B90.14B2D6B
2A$128.A.A13.17B.4B91.2A.11B2D4B.2B$24.5A2.A96.A.A12.22B93.A3.15B$23.
A4.A2.3A9.2A82.2A.2A10.6B2A14B91.3A5.9B.4B$22.A.BAB7.A6.2B2AB84.B9.8B
2A16B89.A7.8B3.4B$19.A2.A.2AB6.2A6.4B82.2AB2AB6.27B99.5B5.4B$18.A.A.A
.4BA4.5B2.4B84.A.2A32B.B2A97.6B5.4B$19.A2.A3.BABA5.10B81.A3.31B4.BA.A
96.7B5.4B$22.2A2.A2BA3.12B81.2A4.29B7.A97.2B.3B6.4B$27.2A2B.12B86.29B
9.2A94.4B3.B2A5.4B$29.16B85.28B106.2A5.BA.A5.4B$29.17B84.4B2A22B107.A
8.A6.4B$29.17B82.2AB.2B2A21B105.3A9.2A6.4B$27.18B82.A.AB.5B.15B.B.B2A
103.A$25.21B81.A5.3B2.16B2.BA.A125.3E$25.2BC17B81.2A6.3B.12B.2B6.A
125.E$24.3BCBC15B88.B2AB.11B10.2A125.E$25.2B3C14B90.2A3.9B$24.5BC14B
96.3B.B$23.22B94.2B$22.4B.17B94.2BAB$21.4B2.17B95.A.A$20.B2AB.17B98.A
$19.3BA2.17B$19.3A3.13B2DB$19.AB4.13B2DB$19.B6.15B$26.5B2A7B$28.3B2A
6B2DB$29.9BD2BD$29.6B.2BD2BD$28.7B.3B2D$28.6B.4B7.2A$29.9B8.A.A$29.8B
11.A$28.8B12.2A$28.7B$28.6B$27.2B3D2B146.A$27.4BD2B146.3A$26.4B3DB
149.A$26.8B148.2A4.2B$26.8B136.2A10.8B$26.8B137.A12.7B93.4B$26.3BE.2B
138.A.AB7.9B92.4B$29.2E141.2AB.3B3.10B90.4B$174.19B88.4B$174.18B76.2A
10.4B$175.15B79.A9.4B$174.15B78.A10.4B$172.17B78.5A5.4B5.2A$169.20B
83.A4.4B5.A$168.4BC15B81.3AB2.7B.BA.A$52.A115.4BCBC4B.3B2D4B79.A.2B3.
7B.B2A$50.3A115.4B3C4B2.2B2D3B80.4A12B$33.B15.A118.6BC4B2.7B78.2A2.BA
3B2A7B$31.4B5.2A6.B2A117.10B4.6B77.A2.3AB.2B2A7B$30.6B3.B2A2B3.4B117.
3B10.7B77.2A.A.B3.10B$30.6B4.4B2.4B118.2B12.6B80.A8.8B$29.21B118.B13.
7B79.2A7.9B$28.22B115.2A16.5B89.10B$28.22B116.A16.6B85.2A.4B3.4B$29.
22B112.3A15.9B84.A.4B5.2B2A$27.24B2.B109.A17.2A.7B80.2A.A.2B2AB5.BABA
$25.26B.B2A127.A5.3B78.A2.A.2A2B2A7.A3B$19.8BC25B2A124.3A7.2B78.2A.A.
3B11.4B$19.2D6BCBC21B.2B125.A92.A5.2A9.4B$19.B2D5B3C21B221.2A5.A10.4B
$19.2D8BC20B227.A13.4B$19.D6B2D22B227.2A13.4B$22.4B2D21B244.4B$21.25B
248.4B$5.2A13.27B248.4B$6.A12.29B248.4B$6.A.AB7.27B.4B248.2B2A$7.2AB.
5B.39B242.BABA$9.43BD4B242.AB$9.41B3D4B$9.41BDBD4B$10.40BD6B$10.30B3.
2B2.10B$10.10B3.17B10.7B$10.7B4.19B12.5B137.2A$9.4B6.10B3.7B114.2A7.
2A16.2A10.2B2AB$8.4B7.9B4.7B22.E91.A7.A2.A16.A10.4B$7.4B7.4B.3B8.6B
20.2E92.3A.2A2.2A17.A.AB6.7B$6.4B7.2B2A.4B8.6B116.A.A.2A20.2AB.3B.8B$
5.4B9.BA.A3B9.5B118.2B2.A22.14B$4.4B12.2A3B9.4B118.4B.A.A20.14B$3.4B
13.3B9.2AB.4B115.5B2.2A21.13B$2.4B15.B9.A.AB3.2A112.8B24.14B.2B$.E3B
26.A6.A111.7B2DB22.18B2A$.2EB26.2A7.3A108.2BC4B2D21.18B.B2A$41.A107.
3BCBC4B19.4BC5B2D8B2.B$150.2B3C4B18.5BCBC3B2D7B$149.5BC4B19.4B3C12B$
148.10B21.5BC4B2.7B$147.4B27.10B4.6B$146.4B27.4B10.7B$176.4B12.4B$43.
2E48.2E50.E47.5B$39.4BE3B42.4BE3B48.2E28.E20.2A$39.9B41.9B77.2E19.A$
39.9B41.9B99.3A89.B$39.9B41.9B101.A88.2B$40.4B3DB42.4B3DB172.2A8.A6.
3B$41.4BD2B43.4BD2B171.B2AB5.3A5.4B$41.2B3D2B43.2B3D2B172.3B4.A7.4B$
42.6B44.6B164.2A5.B.B5.2A5.4B$42.7B43.7B164.A5.10B4.4B$42.8B42.8B163.
A.AB2.8B5.4B$43.8B42.8B163.2AB.11B2.4B$43.8B42.8B165.3B2A13B$42.6B2.B
2A39.6B2.B2A163.3B2A2D10B$42.7B.BA.A38.7B.BA.A163.4B2D9B$43.6B4.A39.
6B4.A163.14B$43.6B4.2A38.6B4.2A162.14B$43.6B44.6B167.A.14B$42.8B42.8B
165.A.A5.5B.4B$41.8B42.8B166.2A7.4B2.4B$41.9B41.9B174.2B5.2B2A$41.9B
41.9B173.4B5.BABA$40.10B40.10B173.B2AB6.A3B$40.3B2A5B40.3B2A5B174.2A
8.4B$34.2A3.4B2A5B39.4B2A5B56.4B12.A112.4B$35.A3.11B39.11B57.4B11.3A
111.4B$35.A.A12B34.2A.A12B58.4B13.A111.4B$36.2A2.8B36.A.2A2.8B61.4B
11.2A112.4B$41.7B43.7B62.4B10.5B6.2A102.4B$42.6B44.6B63.4B11.4B5.A
104.4B$42.6B44.6B64.4B9.6B.BA.A105.4B$41.7B43.7B65.4B7.7B.B2A107.4B$
42.8B42.8B64.4B4.11B110.2B2A$35.A6.8B35.A6.8B9.A55.4B3.11B111.BABA$
35.3A4.7B36.3A4.7B8.3A56.17B112.AB$26.A11.A2.7B.B26.A11.A2.7B.B6.A55.
2A3.15B$26.3A8.2A3.B2D3B.2B25.3A8.2A3.B2D3B.2B5.2A55.A4.13B$29.A7.6B
2D6B.2B25.A7.6B2D13B8.B2E44.A.AB2.12B2.2A$28.2A3.B5.14B2A23.2A3.B5.
17B9.2B.E45.2AB.15BA.A$28.8B2.15B2A23.8B2.15B2A2B7.4B48.16B3.A$30.21B
.2B26.22BA2BA2B5.4B49.16B3.2A$30.20B30.23B2A3B4.4B51.15B$29.19B31.19B
3.9B.4B51.15B$27.21B29.21B4.12B50.19B$25.24B26.24B4.10B49.21B$25.2BC
14B4.3B26.2BC14B4.4B3.9B50.2BC15B.2B$24.3BCBC4B.6B6.4B23.3BCBC4B.6B6.
4B.9B50.3BCBC4B.3BD3B$25.2B3C4B2.B.5B6.2A24.2B3C4B2.B.5B5.4B.7B52.2B
3C4B2.2BD3B$24.5BC4B7.2A6.A24.5BC4B7.2A6.10B52.5BC4B3.BD4B$23.10B8.A
8.3A20.10B8.A8.4B.2B53.10B5.B.3B$22.4B16.3A7.A19.4B16.3A6.4B54.4B11.
3BA3B$21.4B19.A26.4B19.A7.4B53.3B12.A.A.A2.A$103.4B50.4B11.3A.A.4A$
20.2A48.2A32.4B49.2A12.A5.A$21.A49.A33.4B49.A12.2A6.A$18.3A47.3A35.4B
45.3A20.2A$18.A49.A38.4B44.A$108.2B.E$109.B2EB$110.4B$111.4B$112.4B$
113.4B$114.4B$115.4B$116.3B$117.2B$118.B17$170.A14.B$65.A104.3A11.4B$
50.2A11.3A34.2A71.A9.4B$39.A10.A11.A26.A10.A71.2A8.4B$39.3A9.A10.2A
25.3A9.A58.2A10.6B3.4B$39.3BA7.2A8.4B25.3BA7.2A14.2A43.A12.5B.4B$40.B
2AB6.B8.3B28.B2AB22.A44.A.AB7.11B$41.4B4.B2D7.4B28.4B18.BA.A45.2A5B3.
13B$22.A19.4B2.BDBD6.5B9.A19.4B14.2A.B2A48.20B2A$22.3A12.B.3B.7BD7.6B
8.3A12.B.3B.4B12.B2A2B50.20B2A$25.A10.18B2.8B11.A10.18B6.4B51.20B$24.
2A3.B5.2B2A26B9.2A3.B5.2B2A16B3.6B50.21B$24.8B3.2B2A25B10.8B3.2B2A16B
2.6B49.20B$26.8B.20B.7B13.8B.20B.7B47.21B$26.38B12.38B46.2BC15B.4B$
25.15B.23B11.15B.2B2.20B44.3BCBC4B.3BD3B4.2A$23.21B4.17B8.17B8.18B44.
2B3C4B2.2BD3B4.A$21.22B7.15B.2B2.19B11.16B43.5BC4B3.BD4B4.3A$21.2BC
18B9.38B12.14B43.10B5.5B6.A$20.3BCBC4B.10B10.8B.20B.7B12.16B41.4B11.
3BA3B$21.2B3C14B9.8B3.2B2A25B11.14B.B2A39.3B12.A.A.A2.A$20.5BC14B9.2A
3.B5.2B2A26B8.2AB.3B3.6B.BA.A36.4B11.3A.A.4A$19.10B2.8B11.A10.18B2.8B
8.A.AB7.6B4.A36.2A12.A5.A$18.4B11.6B8.3A12.B.3B.4B11.6B8.A9.7B4.2A36.
A12.2A6.A$18.3B11.6B9.A20.3B12.5B8.2A4.2A2.8B39.3A20.2A$16.4B11.7B28.
4B14.4B13.A.A12B37.A$16.2A12.7B29.2A16.3B14.A3.11B$17.A11.4B2.4B28.A
17.4B11.2A3.4B2A5B$14.3A11.4B5.2A25.3A20.2A17.3B2A5B$14.A12.4B6.A26.A
22.A18.10B$26.4B8.3A47.3A16.9B$25.4B11.A49.A16.9B$24.4B79.8B$23.4B81.
8B$22.4B83.6B$21.4B84.6B3.B2A$20.4B85.6B2.2BA$19.4B85.7B.BABA$18.4B
86.6B.2B2A$17.4B19.A68.9B$16.4B.3B.B12.3A17.2A49.8B$9.18B10.A20.A49.
8B$8.4BD11B2A2B5.B3.2A20.A11.A27.A8.7B$8.4B3D9B2A2B3.8B19.2A9.3A27.3A
6.6B$8.4BDBD13B.8B21.B9.A33.A4.7B$8.6BD22B19.3B9.2A10.2A19.2A4.7B$8.
10B2.2B.15B16.6B5.5B10.A15.A4.4B.8B$8.7B8.17B11.10B3.4B9.BA.A15.3A4.
11B$8.5B11.19B2.2B3.11B2.6B4.3B.B2A19.A2.12B$24.31B2A13B.7B20.2A2.12B
$3.E21.7B.22B2A21B20.B3.11B$3.2E19.53B19.3B4.7B$23.55B16.6B3.8B$24.8B
2.46B11.10B2.9B$24.6B11.4B.13B3.B.19B2.2B3.23B$25.5B12.4B4.B.7B7.29B
2A16B.B$25.4B14.4B19.6B.22B2A17B2A$26.3B15.B2AB16.5B.B2.41B2A97.4B$
24.4B17.A.2B15.2A7.42B97.4B$24.2A20.3A16.A8.36B2.5B65.2A17.2C8.4B$25.
A22.A13.3A16.4B.13B5.5B6.2A66.A16.B2C2B5.4B$22.3A37.A19.4B4.B.7B3.3B.
2B7.A54.A11.A18.4B2.6B$22.A60.4B15.2A12.3A51.3A9.2A16.12B$84.B2AB15.A
14.A54.A9.B15.12B$85.A3B11.3A57.2A10.2A9.3B12.13B$86.3A11.A60.A10.5B
5.6B9.15B$88.A72.A.AB9.4B3.10B6.9B2D4B$162.2AB.3B4.6B.12B3.11B2D4B$
164.7B.9BD3B2A15BE9B2C$164.17B2D2B2A15BEBE5B.C2BC2.2C$165.17B2D18B3E
4B2.CBCB3.C2.C$164.18BD21BE4B3.C4B.C.C.C$162.19BD26B6.B2C.C2.C$160.
18B.B3.13B.8B9.BCB.C$160.2BC13B7.7B.B4.8B8.C4.C$159.3BCBC4B.6B19.4B
13.5C$160.2B3C4B2.B.5B16.4B$159.5BC4B7.2A15.4B17.C$158.10B8.A15.4B17.
C.C$33.2E122.4B16.3A11.4B19.C$33.E123.3B19.A$155.4B$155.2A$156.A$35.
8B110.3A$35.9B109.A$35.9B$35.9B$36.4B3DB$37.4BD2B$37.2B3D2B$38.6B$38.
7B$38.8B$39.8B$39.8B$38.6B2.B2A$38.7B.BA.A$22.2A15.6B4.A$23.A8.B4.8B
4.2A$23.A.AB3.4B.6B2AB$24.2AB.13B2A2B$26.18B$26.17B$27.13B$29.12B$31.
10B$31.11B121.C$32.2B.7B120.2BC$32.11B119.3CB23.A$31.11B121.4B14.2C6.
3A$31.11B122.4B6.2A6.C9.A10.2A$25.2A.2D12B123.4B5.A7.C.CB5.2A3.B5.B2A
B.2A$24.A.ABDBD8B2.B2A122.4B6.A6.2CB5.8B4.3B.2A$24.A3.BD8B3.BA.A122.
4B4.2A8.3B5.8B.6B$23.2A4.9B6.A123.4B2.2B9.4B4.13B$29.8B7.2A115.2A6.8B
9.4B2.14B.2B$30.7B125.A7.7B10.21B2A$29.8B125.A.2A5.7B2.B2.2B2.19B.B2A
$28.9B126.A2.A4.19BD15B2.B$28.10B126.2AB3.20BDBD4B.3B2D2B$26.2AB2.8B
126.14B2A9B3D4B2.2B2D2B$25.A.AB.10B126.13B2A11BD4B2.6B$25.A4.6B.4B10.
2A114.30B2.6B$24.2A4.13B8.A115.17B.4B5.4B.7B$31.B2A11B3.BA.A116.15B3.
2B7.4B.6B$30.2B2A13B.B2A117.15B3.3B7.9B$31.18B120.13B5.A2B.2A4.8B$32.
17B122.13B2.A.A2B.A5.8B$35.13B122.8B4.2A.A.AB2.A7.7B7.A$34.14B122.6B
6.2ABA4.A9.6B5.3A$34.10B.4B121.5B8.B2.5A.A7.7B3.A$33.11B2.4B120.B.B8.
A.3A5.2A7.7B3.2A$33.7B.2B4.4B120.3B7.2A3.4A10.2B3D7B$32.11B5.4B118.B
2AB10.2A2.A.3A7.2BD7B$33.11B5.4B118.2A12.A6.A7.B3D7B$33.11B6.4B130.A
15.10B$33.11B7.4B129.2A14.11B$31.2AB2.8B8.4B6.A8.2A126.12B$30.A.AB3.
7B9.4B5.3A5.B2AB124.13B$30.A6.7B10.4B7.A4.3B124.4B2.4B$29.2A7.6B11.4B
5.2A5.B.B5.2A115.4B3.2B2AB$38.7B11.4B4.10B5.A115.4B5.BA2BA$38.8B11.4B
5.8B2.BA.A114.4B6.2B2A.A$39.8B11.4B2.11B.B2A114.4B8.3B.A$39.8B12.13B
2A3B115.4B8.A4.A.2A$38.6B2.B2A11.12B2A3B114.4B7.3A3.2A.2A$38.7B.BA.A
11.15B114.4B7.A$39.6B4.A12.14B113.4B8.2A$39.6B4.2A11.14B112.4B$39.6B
16.14B.A110.4B$38.8B14.4B.5B5.A.A108.4B$37.8B14.4B2.4B7.2A107.4B$37.
9B12.4B5.2B$37.9B11.4B5.4B$36.10B10.4B6.B2AB$36.3B2A5B9.4B8.2A$35.4B
2A5B8.4B$35.11B7.4B$30.2A.A12B6.4B$30.A.2A2.8B7.4B$37.7B6.4B$38.6B5.
4B$38.6B4.4B$37.7B3.4B$38.12B$31.A6.11B$31.3A4.10B$22.A11.A2.10B.B$
22.3A8.2A3.8B.2BA$25.A7.15BA.A118.C$24.2A3.B5.12B.BA118.2BC13.4B$24.
8B2.13B121.3CB13.4B6.A$26.20B123.4B13.4B5.3A$26.20B124.4B6.2A5.4B7.A
10.2A$25.19B.B2A123.4B5.A7.4B5.2A3.B5.B2AB.2A$23.21B.BA.A123.4B6.A6.
4B4.8B4.3B.2A$21.23B4.A124.4B4.2A7.4B5.8B.6B$21.2BC14B4.4B2.2A124.4B
2.2B9.4B4.13B$20.3BCBC4B.6B7.2A121.2A6.8B9.4B2.14B.2B$21.2B3C4B2.B.5B
5.A123.A7.7B10.21B2A$20.5BC4B7.2A6.3A120.A.2A5.7B2.B2.2B2.19B.B2A$19.
10B8.A9.A121.A2.A4.19BD15B2.B$18.4B16.3A129.2AB3.20BDBD4B.3B2D2B$17.
4B19.A130.14B2A9B3D4B2.2B2D2B$16.4B152.13B2A11BD4B2.6B$16.3B154.30B2.
6B$14.4B155.17B.4B5.4B.7B$14.2A158.15B3.2B7.4B.6B$15.A158.15B3.3B7.9B
$12.3A160.13B5.A2B.2A4.8B$12.A164.13B2.A.A2B.A5.8B$176.8B4.2A.A.AB2.A
7.7B$176.6B6.2ABA4.A9.6B$176.5B8.B2.5A.A7.7B$176.B.B8.A.3A5.2A7.7B$
177.3B7.2A3.4A10.2B3D3B$176.B2AB10.2A2.A.3A7.2BD7B3.B$177.2A12.A6.A7.
B3D7B.B2A$190.A15.13B2A$190.2A14.14B$205.15B$204.14B$211.B2A2B$212.2A
3$23.2E$23.E4$25.8B$25.9B$25.9B$25.9B$26.4B3DB$27.4BD2B$27.2B3D2B$28.
6B$28.7B150.A$28.8B149.3A$29.8B151.A$29.8B150.2A$28.6B2.B2A148.4B$28.
7B.BA.A149.3B2.2A$29.6B4.A148.5BA.BA$22.B4.8B4.2A146.7BABA4.2A$29.6B
151.8B.A5.2A$28.8B148.10B$27.8B149.2BA6B$27.9B147.3BABA4B$27.9B148.2B
3A4B$26.10B148.4BA4B$26.3B2A5B149.7B$20.2A3.4B2A5B150.3B$21.A3.11B
151.4B$21.A.A12B153.2A$16.2A4.2A2.8B155.A$17.A9.7B4.2A150.3A$17.A.AB
7.6B4.A153.A$18.2AB.3B3.6B.BA.A$20.14B.B2A147.A$20.16B149.3A$21.14B
153.A$20.16B151.2A3.B$18.18B151.8B$16.19B154.5B2DB$16.2BC15B155.4BD2B
D3B.B$15.3BCBC4B.3BC3B155.6BDBD2B.B2A$16.2B3C4B2.2BC3B153.9BD5B2A$15.
5BC4B3.BC3B151.15B.2B$14.10B5.B.3B150.2BA12B$13.4B11.3BA3B148.3BABA4B
.4B$13.3B12.A.A.A2.A148.2B3A4B2.B$11.4B11.3A.A.4A147.5BA4B$11.2A12.A
5.A150.10B$12.A12.2A6.A147.4B$9.3A20.2A146.4B$9.A169.4B6.2A$178.4B7.A
$177.4B9.3A$177.3B12.A$177.2B$177.B8$30.2A$30.A$31.A10.A$30.2A8.3A$
30.B8.A$28.3B8.2A$26.6B4.5B3.2A$23.10B2.4B5.A$13.2B2.2B3.11B2.5B.BA.A
$9.2BD15B2A3BD7B.B2A$9.DBD15B2A2B2D9B$8.B3D18B2D11B$9.D21BD12B163.2A$
9.23BD12B2.B159.A$16.B.15B.11B.3B5.2A147.2A3.A$22.B.21B.3B5.A148.A2.A
.A$30.20B.BA.A149.3A.2A$19.A.A8.20B.B2A154.B$19.2A.A4.25B150.5AB2AB$
22.A4.25B149.A4.A.2AB10.2A$22.2A.27B5.B142.A.BAB5.3B6.2B2AB$24.28B4.
2B139.A2.A.2AB5.4B5.4B$24.27B4.3B130.A7.A.A.A.4BA4.4B3.4B$24.26B4.4B
128.3A8.A2.A3.BABA4.11B$25.25B3.4B116.A11.A14.2A2.A2BA3.B.10B$26.24B
2.4B117.3A9.2A18.2A2B.12B$29.20B2.4B121.A9.B20.16B$33.10B.4B2.4B109.
2A10.2A9.3B18.17B$32.13B4.4B111.A10.5B5.6B16.17B$31.15B2.4B112.A.AB9.
4B3.10B11.20B$30.16B.4B114.2AB.3B4.6B2.11B3.2B2.23B$29.21B117.7B.9BD
3B2A15BC19B$30.19B118.17B2D2B2A15BCBC17B$31.17B120.17B2D18B3C9B2C6B$
31.5B2A2B.6B120.18BD21BC9BCBC3B$33.3B2A2B2.4B119.19BD33BC3B$26.B6.14B
116.18B.B2.14B.4B4.14B$32.3B3D10B115.2BC13B7.7B.B4.4B6.11B.B2A$32.4BD
6B2.4B113.3BCBC4B.6B19.4B8.12BA.A$32.2B3D5B4.4B113.2B3C4B2.B.5B16.4B
12.8B3.A$32.9B6.4B111.5BC4B7.2A15.4B13.8B3.2A$21.2A9.8B8.4B109.10B8.A
15.4B15.6B$13.A6.B2AB7.8B10.4B108.3B16.3A11.4B17.4B$13.3A5.3B6.10B10.
4B107.2B19.A10.4B19.4B$16.A3.B.B7.10B11.4B106.B30.4B21.4B$15.2A2.6B6.
8B7.2A4.4B102.2A31.4B23.4B$15.10B4.11B5.B2AB4.4B102.A30.4B25.4B$7.2A
8.23B6.2B6.4B98.3A30.4B27.4B$8.A8.23B7.2B6.3B98.A31.4B29.4B$8.A.AB6.
18B2D2B5.2B2AB6.2B129.4B$9.2AB.3B2.18B2D3B.2B.BAB.A7.B$11.21B3D10B.A.
A$11.23BD9BA.A.A.A$12.20B3D8BABA.A.A.A$11.30B2.BA2.A2.A$9.31B4.B2A.2A
$7.19B3.12B5.A.A$7.2BC15B4.6BD5B5.A.A$6.3BCBC4B.7B5.5B3D4B6.A$7.2B3C
4B2.6B5.7BD4B$6.5BC4B3.6B5.12B$5.10B6.4B7.5B2.2B2A$4.4B12.B2A2B7.3B4.
BA2BA$4.3B14.2A.B2A5.2AB5.BABA$2.4B18.BA.A3.A.AB5.2BA$2.2A23.A3.2AB$
3.A23.2A3.4B$3A31.2A$A33.A$35.3A$37.A12$188.A21.2A$186.3A21.A.A$173.A
11.A25.A7.2A$173.3A9.2A32.A$176.A9.B30.A.A$163.2A10.2A9.3B28.2A$164.A
10.5B5.4B20.2D$164.A.AB9.4B3.5B20.2D$165.2AB.3B4.6B2.11B3.2B2.6B$167.
7B.9BD3B2A15BC2B$167.17B2D2B2A15BCBC$168.17B2D18B3C$167.18BD21BC$165.
19BD23B8.2A$163.18B.B2.14B.4B12.A$163.2BC13B7.7B.B4.4B14.3A$162.3BCBC
4B.6B19.4B11.2A4.A$163.2B3C4B2.B.5B16.4B12.A.A$162.5BC4B7.2A15.4B15.A
$161.10B8.A15.4B16.2A$161.3B16.3A11.4B$161.2B19.A10.4B10.2A$161.B30.
4B11.A2.A$158.2A31.4B10.A.A.2A$159.A30.4B10.A.2A$156.3A30.4B11.A4.2A$
156.A31.4B13.3A.A$187.4B16.A.A$208.A23$189.A$187.3A$174.A11.A22.4B$
174.3A9.2A20.2C5B$177.A9.B20.2C3B2C2B$164.2A10.2A9.3B19.4B2C5B$165.A
10.5B5.4B18.13B$165.A.AB9.4B3.5B16.15B$166.2AB.3B4.6B2.11B3.2B2.18B$
168.7B.9BD3B2A15BC12B.B2A.A$168.17B2D2B2A15BCBC4B.4B2.B2AB3A$169.17B
2D18B3C4B2.B6.B4.A$168.18BD21BC4B8.2A.3A$166.19BD26B10.A.A$164.18B.B
2.14B.4B17.A.A$164.2BC13B7.7B.B4.4B19.A$163.3BCBC4B.6B19.4B$164.2B3C
4B2.B.5B16.4B$163.5BC4B7.2A15.4B$162.10B8.A15.4B$162.3B16.3A11.4B$
162.2B19.A10.4B$162.B30.4B$159.2A31.4B$160.A30.4B$157.3A30.4B$157.A
31.4B$188.4B!
Period triplers -- EDIT9: added simsim314's Spartan period tripler, EDIT10: and Kazyan's tremi-Snark, EDIT: and Jormungant's period tripler:

Code: Select all

x = 260, y = 208, rule = LifeHistory
18.D4.D12.D4.D10.5D13.D4.D72.D4.D13.4D$18.D4.D12.D4.D10.D4.D12.D4.D
72.D4.D12.D4.D54.4D14.4D$18.D4.D12.D4.D10.D4.D12.D4.D72.D4.D12.D58.D
4.D12.D4.D$18.D4.D6.D5.D4.D10.D4.D6.D5.D4.D72.D4.D6.D5.D58.D17.D$18.D
4.D7.D4.D4.D10.D4.D7.D4.D4.D72.D4.D7.D4.D58.D11.D5.D$18.6D3.6D3.6D10.
5D4.6D3.6D72.6D3.6D3.D58.D12.D4.D$18.D4.D7.D4.D4.D10.D4.D7.D4.D4.D72.
D4.D7.D4.D2.3D53.D8.6D3.D$18.D4.D6.D5.D4.D10.D4.D6.D5.D4.D72.D4.D6.D
5.D4.D53.D2.3D7.D4.D2.3D$18.D4.D12.D4.D10.D4.D12.D4.D72.D4.D12.D4.D
53.D4.D6.D5.D4.D$18.D4.D12.D4.D3.2D5.D4.D12.D4.D72.D4.D12.D4.D53.D4.D
12.D4.D$18.D4.D12.D4.D4.D5.5D13.D4.D72.D4.D13.4D54.D4.D12.D4.D$45.D
180.4D14.4D$44.D12$221.C$220.2BC$220.3CB$164.2D55.4B$164.DB56.4B$164.
4B55.4B$165.4B55.4B$166.4B55.4B$167.4B55.4B$168.4B55.4B$169.4B55.4B$
170.6B53.2BCB$170.8B52.2B2C$170.8B53.2C2B21.4B$169.9B54.4B19.4B$27.A
140.10B55.4B10.A6.4B$25.3A140.11B55.4B7.3A5.4B$24.A143.12B55.4B5.A7.
4B$24.2A141.5B2C6B56.4B4.2A5.4B$7.2A12.5B131.2A8.5B2C4B59.9B4.4B$8.A
11.4B134.A9.9B61.6B5.4B$8.A.AB7.6B133.A.AB5.10B61.8B2.4B$9.2AB.3B3.7B
133.2AB.3B.10B59.7BC7B$11.16B28.A105.17B58.5BCBC6B$11.17B25.3A105.17B
58.6B2C5B$12.9B2C6B23.A109.15B57.2AB.10B$11.10B2C6B23.2A107.15B57.A.A
B3.4BA2B$9.18B13.A8.5B105.17B57.A5.4BABA2B$7.7B2D10B14.3A5.4B100.2B2.
20B56.2A6.3BABA2B$7.2BD4B2D9B18.A3.7B97.8BD9B2D5B64.4BAB$6.3BDBD8B2C
4B16.2A2.9B96.8BDBD4B.BD2BD5B64.5B$7.2B3D4B2.2B2C3B14.B2.3B.11B94.8B
3D7B2D5B66.3B$6.5BD4B2.7B13.3B3.13B11.A82.10BD13B66.5B$5.10B3.7B4.A8.
18B2A10.3A80.24B65.B2AB2A$4.4B10.7B4.3A6.18B2A13.A79.2B.4B5.4B.7B62.
2A2.2A.AB2.2A$3.4B12.6B7.A4.18B.B13.2A81.4B5.4B3.4B64.A2.B3.A.A2.A$2.
4B13.7B5.2A3.18B16.4B78.4B5.4B5.5B63.7A.2A$2.2A15.6B6.4B.20B16.3B76.
4B5.4B9.2A70.A$3.A14.6B9.24B2.7B.B4.4B66.2A6.4B5.4B10.A66.4A.A$3A15.
6B9.24B2.13B.4B64.B2AB4.4B5.4B12.3A63.A2.2A$A16.8B9.50B58.3B3.4B5.4B
15.A$18.6B8.B2.45BD4B56.B.B3.4B5.4B$18.7B5.48B3D4B55.10B5.4B$16.45B2A
15BDBD4BD52.11B5.4B$14.B.2B2A13B2A26B2A15BD5B2D51.11B5.4B$13.2A3B2A
13B2A21B.11B3.2B2.10B50.12B5.4B$13.2A40B2.10B11.7B49.12B5.4B$14.41B3.
6B16.5B31.A16.14B3.4B$12.5B2.B2.2B2.28B5.3B53.A.A13.17B.4B$12.2A4.3B
7.4B2.7B.13B4.B55.A.A12.22B$13.A4.B2AB12.6B2.13B3.2A54.2A.2A10.6B2A
14B$10.3A6.2A15.3B3.11B5.A58.B9.8B2A16B$10.A26.B4.9B8.A54.2AB2AB6.27B
$43.8B7.2A55.A.2A32B.B2A$43.8B62.A3.31B4.BA.A$43.6B64.2A4.29B7.A$44.
5B68.29B9.2A$44.3B70.28B$117.4B2A22B$115.2AB.2B2A21B$114.A.AB.5B.15B.
B.B2A$114.A5.3B2.16B2.BA.A$113.2A6.3B.12B.2B6.A$120.B2AB.11B10.2A$
121.2A3.9B$127.3B.B26.A$126.2B29.A.A$125.2BAB29.A$126.A.A$127.A28.5A$
156.A4.A$158.BAB.A$148.A9.B2A.A2.A$148.3A5.A4B.A.A.A$151.A3.ABAB3.A2.
A5.2A.2A$150.2A.B.A2BA2.2A7.A.A.A$150.6B2A12.A3.A$152.4B15.3A.2A$150.
6B17.A.A.A$148.8B5.B11.2BA.A$148.9B2.7B8.BAB.2A$149.18B7.2A.B2.A$151.
17B2.5B.5A2.A$152.9B2C5B.5B.BA2B2.3A$153.8B2C13B2.B2A$153.23B4.A.2A$
154.16B2C4B4.A2.A$49.2A103.10B2D3BCBC4B5.2A$39.A9.A.A.2A99.10B2D4BC5B
$39.3A9.A.A100.5BD15B$42.A7.2A.A100.5BDBD4B.7B$41.2A5.4B.A.2A97.5B3D
4B2.6B2.B$36.2A3.4BA4B4A2.A97.7BD4B2.6B.B2A$37.A5.BABA3BAB2.2A98.11B
4.7B2A$28.2B7.A.AB.2BA2BA2B.3A100.4B2.2B6.6B.2B$27.4B7.2AB.3B2A2B4.A
99.4B12.5B$27.4B9.9B4.A.A96.4B13.6B$23.B2.6B8.9B5.2A95.4B14.6B$22.2AB
.2B2A2B8.9B101.4B15.5B$22.2A3BA2BA3B.B5.4B2C3B99.4B16.5B$23.2B.2B2A7B
3.2B.2B2C4B97.4B18.3B$26.32B2.B86.4B19.3B$27.27BD7B84.4B21.B$27.17B2D
6B3D7B83.4B$27.17B2D6BDBD9B81.DB56.B2D$26.26BD11B81.2D56.2BD$24.B.13B
2.B3.2B2.14BAB136.3B$23.2AB.12B13.10BABA135.4B$23.2A4BC9B15.8BABA134.
4B$24.2B.B3C7B17.8BA134.4B$27.C2B2C6B16.10B133.4B$27.10B17.9B133.4B$
27.6B21.8B133.4B$28.5B22.7B109.2A21.4B$27.6B23.5B101.2A6.B2AB5.A13.4B
$28.4B25.2B104.A7.3B5.3A10.4B$28.4B131.A.AB3.B.B9.A8.4B$29.2B133.2AB
2.6B6.2A7.4B$166.9B6.5B3.4B$157.2A7.12B5.9B$158.A8.12B3.9B$158.A.AB6.
22B$159.2AB.3B2.22B$161.30B$161.29B2D$162.28B2D$161.26B2C2B$159.21B.
6B2C2B$152.2B2.20B5.4B3.B$150.9BD15B6.2B2AB$150.9BDBD4B.7B9.2A$150.9B
3D4B2.6B$150.11BD4B3.6B$150.15B6.4B$150.3B.4B12.B2A2B$153.4B14.2A.B2A
$152.4B18.BA.A$152.2A23.A$153.A23.2A$150.3A$150.A15$165.2A$164.B2AB$
165.2B$164.2B$163.2A3B$162.B2A4B$162.7B$161.7B$161.8B$161.9B$162.11B.
B$161.6B2D3B.B2A$159.8B2D5B2A$148.B3.2B2.16B.2B$148.11BA12B$148.11BAB
A9B$148.11B2ACD4B.B$148.12BDABD3B$148.12BDBD3B$148.5B.7BD4B$148.B4.
13B$152.14B$151.4B3.7B$150.4B5.4B$149.4B5.B2A2B$148.4B7.2A$148.3B$
148.2B$148.B!
Period quadruplers: EDIT11: added Kazyan's quadri-Snark EDIT and Gustone's 3-out-of-4 even-period quadrupler:

Code: Select all

x = 339, y = 180, rule = LifeHistory
69.D4.D12.D4.D106.D4.D13.4D68.4D14.4D$69.D4.D12.D4.D106.D4.D12.D4.D
66.D4.D12.D4.D$69.D4.D12.D4.D106.D4.D12.D71.D17.D$69.D4.D6.D5.D4.D
106.D4.D6.D5.D71.D11.D5.D$69.D4.D7.D4.D4.D106.D4.D7.D4.D71.D12.D4.D$
69.6D3.6D3.6D106.6D3.6D3.D2.3D66.D2.3D3.6D3.D2.3D$69.D4.D7.D4.D4.D
106.D4.D7.D4.D4.D66.D4.D7.D4.D4.D$69.D4.D6.D5.D4.D106.D4.D6.D5.D4.D
66.D4.D6.D5.D4.D$69.D4.D12.D4.D106.D4.D12.D4.D66.D4.D12.D4.D$69.D4.D
12.D4.D106.D4.D13.4D68.4D14.4D14$274.B$274.2B$96.A130.A46.3B$94.3A
130.3A44.3BA$93.A136.A44.ABAB$93.2A124.2A8.2A45.2A2B$81.A8.5B125.A56.
4B$81.3A5.4B127.A.A55.4B$84.A3.7B114.2A10.2A56.4B$83.2A2.9B114.A69.4B
$52.A27.B2.3B.11B99.A11.A20.6B45.4B$51.A.A15.A9.3B3.13B99.3A9.2A19.B
2D5B44.4B$29.A22.A16.3A7.18B2A11.A89.A9.B19.B2D7B43.4B$29.3A40.A6.18B
2A11.3A74.2A10.2A9.3B17.12B42.4B$32.A17.5A16.2A5.18B.B15.A74.A10.5B5.
6B16.2D10B42.4B$31.2A4.2B10.A4.A16.4B2.18B17.2A74.A.AB9.4B3.10B11.2B
2DB2D7B43.3BA$27.B3.8B9.A.BAB19.4B.20B15.4B73.2AB.3B4.6B2.11B3.2B2.8B
2D6B45.ABAB$25.4B4.7B5.A2.A.2AB12.2A6.25B2.7B.B5.3B74.7B.13B2A30B44.
2A2B$24.6B.9B4.A.A.A.4BA9.B2AB6.24B2.13B.4B73.21B2A26B2.2A45.4B$24.6B
.10B4.A2.A3.BABA8.3B8.50B67.39B2D3B2.B3.A47.4B$23.19B6.2A2.A2BA3.B5.
4B4.B2.45BD4B65.40B2D3B7.3A45.4B$22.19B12.2A2B.11B2.48B3D4B63.46B10.A
46.4B$22.17B16.47B2A15BDBD3B.E60.18B.B3.13B.4B3.2B60.4B$23.15B17.3B.
2D13B2A26B2A15BD5B2E60.2BC13B7.7B.B4.4B67.4B$21.17B17.4B2D13B2A21B.
11B3.2B2.10B60.3BCBC4B.6B19.4B69.4B$19.21B12.44B2.10B11.7B61.2B3C4B2.
B.5B16.4B71.4B$19.2BC21B3.7B2D41B3.6B16.5B60.5BC4B7.2A15.4B73.4B$18.
3BCBC4B.23B3D40B5.3B82.10B8.A15.4B75.3BA$19.2B3C4B2.22BDBD5B.12B2.7B.
13B4.B83.4B16.3A11.4B9.2E66.ABAB$18.5BC4B2.23BD6B2.8B5.6B2.13B3.2A83.
3B19.A10.4B10.E68.2A2B$17.10B4.29B2.5B10.3B3.11B5.A82.4B30.4B81.4B$
16.4B10.29B4.4B11.B4.9B8.A81.2A31.4B13.4B66.4B$15.4B12.21B11.4B17.8B
7.2A82.A30.4B15.4B66.4B$14.4B13.12B5.3B11.4B18.8B88.3A31.3B17.4B66.4B
$14.2A15.9B6.4B13.4B17.6B90.A54.4B66.4B$15.A14.11B5.2A15.2B2AB17.5B
122.E23.4B66.4B13.2A$12.3A16.7B.B2A5.A17.2A18.3B124.2E23.4B66.4B13.A$
12.A20.4B2.BA.A.3A191.4B66.4B10.A5.2A$32.B2A2B5.A.A194.4B66.4B9.2A5.A
$33.2A7.2A196.4B66.3BA11.3B.A.2A$240.4B67.ABAB7.2A2B2A.A2.A$240.5B67.
2A2B5.B2A2B.A.2A$227.A11.9B65.4B5.4B.A$227.3A9.9B66.4B3.4B.2A$230.A8.
9B67.10B8.2A$219.2A8.2A7.10B68.9B8.A.A$220.A8.3B.16B68.8B.B8.A$220.A.
AB7.19B68.11B3.B.BA.2A$207.2A12.2AB.B3.20B69.12B.B2A.A.A$207.A.A13.
25B70.14B2A.A.A$197.A11.A14.24B70.8B2A5B2.A.2A$197.3A9.2A12.8B2D15B
68.2AB.5BA2BA3B4A2.A$200.A9.B13.7B2D15B67.A.AB.6B2A2B.BAB2.2A$187.2A
10.2A9.3B10.26B.B64.A5.7B6.2A$188.A10.5B5.6B8.8B2D17B2A62.2A5.4B10.A$
188.A.AB9.4B3.10B4.9B2DB2D12B.B2A68.4B9.A$189.2AB.3B4.6B2.11B3.12B2D
10B4.B68.4B10.2A$191.7B.13B2A32B72.4B$191.21B2A32B71.4B$32.2E158.39B
2D3B2.7B71.4B$28.4BE.2B155.40B2D3B2.7B70.4B$28.9B152.46B4.6B69.4B$28.
9B149.19B.B3.23B5.7B68.4B$28.9B149.3BC13B7.7B.15B6.6B67.4B$29.4B3DB
149.3BCBC4B.6B16.13B7.7B66.3B$30.4BD2B149.3B3C4B2.B.5B13.14B7.6B$30.
2B3D2B149.5BC4B7.2A13.14B7.5B66.E$31.6B148.10B8.A15.12B7.6B66.2E$31.
7B146.4B16.3A11.9B11.4B$31.8B145.3B19.A11.4B.3B12.2B2AB$32.8B142.4B
30.2AB21.2A$32.9B141.2A31.A.AB$31.6B.2B2A141.A31.A$31.7B.BA.A137.3A
31.2A$32.6B2.B.A137.A$32.6B4.2A$32.6B$31.8B$30.8B$30.9B$30.9B$29.10B$
29.3B2A5B$23.2A3.4B2A5B$24.A3.11B$24.A.A12B$19.2A4.2A2.8B$.2A17.A9.7B
4.2A$2.A17.A.AB7.6B4.A165.2A25.2A$.A19.2AB.3B3.6B.BA.A165.A.A24.A.A$.
2A20.14B.B2A156.A11.A25.AB4.2A$2.B20.16B158.3A9.2A23.2B5.A$2.3B17.16B
162.A9.B23.3B.BA.A$.6B13.19B148.2A10.2A9.3B19.5B.B2A$10B10.19B149.A
10.5B5.6B16.8B$11B3.2B2.20B150.A.AB9.4B3.10B10.12B$D3B2A15BC7B2D6B
152.2AB.3B4.6B2.11B3.17B$2D2B2A15BCBC5B2D5B155.7B.13B2A15BD8B$B2D18B
3C7B2D3B155.21B2A15BDBD6B$2D13B.7BC7B2D2B157.37B3D5B$31B.5B154.40BD4B
$B.13B.14B5.2A152.46B$9B.B4.3B2D8B7.A150.19B.B3.18B$14.4B2D8B8.3A146.
4BC13B7.7B.B4.4B$13.4B.9B11.A146.4BCBC4B.6B19.4B$12.2BEB.7B.B159.4B3C
4B2.B.5B16.4B$11.3B2E2.5B162.6BC4B7.2A15.4B$10.4B5.3B163.10B8.A15.4B$
21.B162.4B16.3A11.4B$3.3D5.D.D.D5.2A161.3B19.A10.4B$5.D4.D2.D.D6.A
159.4B30.4B$3.3D3.D3.3D5.A160.2A31.4B$3.D4.D6.D5.2A160.A30.4B$3.3D.D
7.D164.3A30.4B$180.A31.4B$211.4B$210.4B$209.4B$208.4B$207.4B$207.3B2$
205.E$205.2E4$204.2E$204.E2$205.4B$206.4B12.B$207.4B10.3B$188.A19.4B
8.5B5.2A$188.3A12.B.3B.4B7.6B4.A$191.A10.24B.BA.A$190.2A3.B5.2B2A11BD
9B.B2A$190.8B3.2B2A9B3D11B$192.8B.13BDBD11B$192.22BD11B$191.15B.2B2.
15B$189.17B8.12B$188.17B11.10B$188.BC15B12.7B.B2A$188.BCBC4B.7B15.3B
3.BA.A$188.B3C13B14.2B7.A$188.3BC14B14.AB6.2A$188.7B2.8B14.A.A$199.6B
14.2A$199.5B$200.4B$200.3B$201.4B$203.2A$203.A$204.3A$206.A!
Period quintuplers (these are definitely out of date, now that we can create the boat-bit stopper with gliders reflected by Snarks):

Code: Select all

x = 321, y = 329, rule = LifeHistory
313.2B$312.5B$311.7B$293.2A15.8B$292.B2AB14.9B$293.2B15.10B$288.B3.2B
17.8BA$287.2AB.4B15.8BABA$287.2A8B11.10BABA$288.B.B2A6B2.2B2.14BAB$
291.2A15BD11B$291.17BDBD9B$287.21B3D7B$287.23BD7B$286.2A26B2.B$286.2A
14B.4B$287.B.11B2.4B$289.10B2.4B$290.14B$289.14B$290.13B$290.13B$292.
2B.8B$295.8B$294.9B$293.10B$292.4B.7B$291.4B2.8B$290.4B4.8B$289.4B5.
9B$288.4B5.6B.4B$287.4B6.7B.4B$286.4B8.6B2.3B$285.4B9.6B4.B2A$284.4B
10.6B4.BA.A$283.4B10.8B6.A$282.4B10.8B7.2A$281.4B11.9B$280.4B12.9B$
279.4B12.10B$278.4B13.3B2A5B$277.4B13.4B2A5B$276.4B14.11B$275.4B10.2A
.A12B$274.4B11.A.2A2.8B$273.4B19.7B4.2A$272.4B21.6B4.A$258.A12.4B22.
6B.BA.A$258.3A9.4B22.7B.B2A$261.A7.4B24.8B$260.2A4.6B18.A6.7B$256.B3.
11B19.3A4.7B$254.4B4.8B11.A11.A2.7B4.B$253.6B.9B12.3A8.2A3.6B.B.2BA$
235.2A16.6B.10B14.A7.15BA.A$234.B2AB14.19B12.2A3.B5.12B.BA$235.2B14.
19B13.8B2.13B$230.B3.2B15.17B17.21B$229.2AB.4B15.15B18.20B$229.2A8B
11.17B17.19B$230.B.B2A6B2.2B2.22B13.21B$233.2A37B3.2B2.24B$233.64B5.B
2A$229.60B.6B6.BA.A$229.29B.30B2.B.5B7.A$228.2A27B3.29B7.2A7.2A$228.
2A14B.4B3.4B3.29B8.A$229.B.11B2.4B3.D3B5.16B.4B16.3A$231.10B2.4B3.DBD
B6.12B5.3B19.A$232.14B4.2DB7.9B6.4B$231.14B6.B7.11B5.2A$232.13B5.2A8.
7B.B2A5.A$232.13B5.A11.4B2.BA.A.3A$234.2B.8B6.A9.B2A2B5.A.A$237.8B5.
2A10.2A7.2A$236.9B$235.10B$234.4B.7B$233.4B2.8B$232.4B4.8B$231.4B5.9B
$230.4B5.6B.4B$229.4B6.7B.4B$228.4B8.6B2.3B$227.4B9.6B4.B2A$226.4B10.
6B4.BA.A$225.4B10.8B6.A$224.4B10.8B7.2A$223.4B11.9B$222.4B12.9B$221.
4B12.10B$220.4B13.3B2A5B$219.4B13.4B2A5B$218.4B14.11B$217.4B10.2A.A
12B$216.4B11.A.2A2.8B$215.4B19.7B4.2A$214.4B21.6B4.A$200.A12.4B22.6B.
BA.A$200.3A9.4B22.7B.B2A$203.A7.4B24.8B$202.2A4.6B18.A6.7B$198.B3.11B
19.3A4.7B$196.4B4.8B11.A11.A2.7B4.B$195.6B.9B12.3A8.2A3.6B.B.2BA$177.
2A16.6B.10B14.A7.15BA.A$176.B2AB14.19B12.2A3.B5.12B.BA$177.2B14.19B
13.8B2.13B$172.B3.2B15.17B17.21B$171.2AB.4B15.15B18.20B$171.2A8B11.
17B17.19B$172.B.B2A6B2.2B2.22B13.21B$175.2A37B3.2B2.24B$175.64B5.B2A$
171.60B.6B6.BA.A$171.29B.30B2.B.5B7.A$170.2A27B3.29B7.2A7.2A$170.2A
14B.4B3.4B3.29B8.A$171.B.11B2.4B3.D3B5.16B.4B16.3A$173.10B2.4B3.DBDB
6.12B5.3B19.A$174.14B4.2DB7.9B6.4B$173.14B6.B7.11B5.2A$174.13B5.2A8.
7B.B2A5.A$174.13B5.A11.4B2.BA.A.3A$176.2B.8B6.A9.B2A2B5.A.A$179.8B5.
2A10.2A7.2A$178.9B$177.10B$176.4B.7B$175.4B2.8B$174.4B4.8B$173.4B5.9B
$172.4B5.6B.4B$171.4B6.7B.4B$170.4B8.6B2.3B$169.4B9.6B4.B2A$168.4B10.
6B4.BA.A$167.4B10.8B6.A$166.4B10.8B7.2A$165.4B11.9B$164.4B12.9B$163.
4B12.10B$162.4B13.3B2A5B$161.4B13.4B2A5B$160.4B14.11B$159.4B10.2A.A
12B$158.4B11.A.2A2.8B$157.4B19.7B4.2A$156.4B21.6B4.A$142.A12.4B22.6B.
BA.A$142.3A9.4B22.7B.B2A$145.A7.4B24.8B$144.2A4.6B18.A6.7B$140.B3.11B
19.3A4.7B$114.2A22.4B4.8B11.A11.A2.7B4.B$115.A21.6B.9B12.3A8.2A3.6B.B
.2BA$102.A11.A22.6B.10B14.A7.15BA.A$102.3A9.2A20.19B12.2A3.B5.12B.BA$
105.A9.B19.19B13.8B2.13B$92.2A10.2A9.3B17.17B17.21B$93.A10.5B5.6B16.
15B18.20B$93.A.AB9.4B3.10B11.17B17.19B$94.2AB.3B4.6B2.11B3.2B2.22B13.
21B$96.7B.13B2A37B3.2B2.24B$96.21B2A62B5.B2A$97.76B.6B6.BA.A$96.46B.
30B2.B.5B7.A$94.47B3.29B7.2A7.2A$92.18B.B3.13B.4B3.4B3.29B8.A$92.2BC
13B7.7B.B5.3B3.D3B5.16B.4B16.3A$91.3BCBC4B.6B19.4B3.DBDB6.12B5.3B19.A
$92.2B3C4B2.B.5B17.2A5.2DB7.9B6.4B$91.5BC4B7.2A18.A6.B7.11B5.2A$90.
10B8.A16.3A6.2A8.7B.B2A5.A$89.4B16.3A13.A8.A11.4B2.BA.A.3A$89.3B19.A
23.A9.B2A2B5.A.A$87.4B43.2A10.2A7.2A$87.2A$88.A$85.3A$85.A21$136.A$
121.2A11.3A$110.A10.A11.A26.A$110.3A9.A10.2A25.3A$113.A7.2A8.4B28.A
23.2A$112.2A7.B8.3B29.2A23.A$112.4B4.B2D7.4B28.4B18.BA.A$93.A20.3B.2B
DBD6.5B9.A20.3B14.2A.B2A$93.3A12.B.3B.7BDB6.6B8.3A12.B.3B.4B12.B2A2B$
96.A10.18B2.8B11.A10.18B6.4B$95.2A3.B5.2B2A26B9.2A3.B5.2B2A16B3.6B$
95.8B3.2B2A25B10.8B3.2B2A16B2.6B$97.8B.20B.7B13.8B.20B.7B$97.38B12.
38B$96.15B.23B11.15B.2B2.20B$94.21B4.17B8.17B8.18B$88.B2.23B7.15B.2B
2.19B11.16B$88.6BC18B9.38B12.14B$88.6BCBC4B.10B10.8B.20B.7B12.16B$88.
6B3C14B9.8B3.2B2A25B11.14B.B2A$88.8BC14B9.2A3.B5.2B2A26B8.2AB.3B3.6B.
BA.A$88.12B2.8B11.A10.18B2.8B8.A.AB7.6B4.A$89.4B11.6B8.3A12.B.3B.4B
11.6B8.A9.7B4.2A$89.3B11.6B9.A20.3B12.5B8.2A4.2A2.8B$87.4B11.7B28.4B
14.4B13.A.A12B$87.2A12.7B29.2A16.3B14.A3.11B$88.A11.4B2.4B28.A17.4B
11.2A3.4B2A5B$85.3A11.4B5.2A25.3A20.2A17.3B2A5B$85.A12.4B6.A26.A22.A
18.10B$97.4B8.3A47.3A16.9B$96.4B11.A49.A16.9B$68.A26.4B79.8B$68.3A11.
2A10.4B81.8B$44.A26.A11.A9.4B83.6B$42.3A25.2A10.A9.4B84.6B4.2A$16.2A
23.A28.4B8.2A7.4B85.6B4.A$17.A23.2A29.3B8.B6.4B85.7B.BA.A$17.A.AB18.
4B28.4B7.2DB4.4B86.6B.2B2A$18.2AB.2A14.3B20.A9.5B6.DBD2B.4B19.A68.9B$
20.2B2AB12.4B.3B.B12.3A8.6B6.BD7B.3B.B12.3A17.2A49.8B$20.4B6.18B10.A
11.8B2.18B10.A20.A49.8B$20.6B3.16B2A2B5.B3.2A9.26B2A2B5.B3.2A20.A11.A
27.A8.7B$21.6B2.16B2A2B3.8B10.25B2A2B3.8B19.2A9.3A27.3A6.6B$21.7B.20B
.8B13.7B.20B.8B21.B9.A33.A4.7B$20.38B12.38B19.3B9.2A10.2A19.2A4.7B$
19.20B2.2B.15B11.23B.15B16.6B5.5B10.A15.A4.4B.8B$18.18B8.17B8.17B4.
21B11.10B3.4B9.BA.A15.3A4.11B$18.16B11.19B2.2B.15B7.23B2.2B3.11B2.6B
4.3B.B2A19.A2.12B$19.14B12.38B9.34B2A13B.7B20.2A2.12B$18.16B12.7B.20B
.8B10.10B.22B2A21B20.B3.11B$16.2AB.14B11.25B2A2B3.8B9.54B19.3B4.7B$
15.A.AB.6B3.3B.B2A8.26B2A2B5.B3.2A9.55B16.6B3.8B$2A13.A4.6B7.BA.A8.8B
2.18B10.A11.8B2.46B11.10B2.9B$.A12.2A4.7B9.A8.6B11.4B.3B.B12.3A8.6B
11.4B.13B3.B.19B2.2B3.23B$.A.AB15.8B2.2A4.2A8.5B12.3B20.A9.6B11.3B5.B
.7B7.29B2A16B.B$2.2AB13.12BA.A13.4B14.4B28.7B11.4B19.6B.22B2A17B2A$4.
3B11.11B3.A14.3B16.2A29.7B12.2A17.5B.B2.41B2A$4.4B10.5B2A4B3.2A11.4B
17.A28.4B2.4B11.A18.2A7.42B$5.4B9.5B2A3B17.2A20.3A25.2A5.4B11.3A16.A
8.36B2.5B$6.4B8.10B18.A22.A26.A6.4B12.A13.3A16.4B.13B5.5B6.2A$7.4B7.
9B16.3A47.3A8.4B25.A19.4B4.B.7B3.3B.2B7.A$8.4B6.9B16.A49.A11.4B45.3B
16.2A12.3A$9.4B6.8B79.4B26.A19.B2A15.A14.A$10.4B4.8B81.4B10.2A11.3A
19.BA.A11.3A$11.4B4.6B83.4B9.A11.A25.A11.A$12.4B3.6B84.4B9.A10.2A24.A
.AB$13.4B2.6B85.4B7.2A8.4B25.2AB24.2A$14.4B.7B85.4B6.B8.3B29.3B22.A$
15.4B.6B86.4B4.B2D7.4B28.4B18.BA.A$16.9B68.A19.4B.2BDBD6.5B9.A19.4B
14.2A.B2A$17.8B49.2A17.3A12.B.3B.7BDB6.6B8.3A12.B.3B.4B12.B2A2B$18.8B
49.A20.A10.18B2.8B11.A10.18B6.4B$19.7B8.A27.A11.A20.2A3.B5.2B2A26B9.
2A3.B5.2B2A16B3.6B$20.6B6.3A27.3A9.2A19.8B3.2B2A25B10.8B3.2B2A16B2.6B
$20.7B4.A33.A9.B21.8B.20B.7B13.8B.20B.7B$20.7B4.2A19.2A10.2A9.3B19.
38B12.38B$20.8B.4B4.A15.A10.5B5.6B16.15B.23B11.15B.2B2.20B$20.11B4.3A
15.A.AB9.4B3.10B11.21B4.17B8.17B8.18B$20.12B2.A19.2AB.3B4.6B2.11B3.2B
2.23B7.15B.2B2.19B11.16B$20.12B2.2A20.7B.13B2A34B9.38B12.14B$21.11B3.
B20.21B2A22B.10B10.8B.20B.7B12.16B$24.7B4.3B19.54B9.8B3.2B2A25B11.14B
.B2A$23.8B3.6B16.55B9.2A3.B5.2B2A26B8.2AB.3B3.6B.BA.A$22.9B2.10B11.
46B2.8B11.A10.18B2.8B8.A.AB7.6B4.A$21.23B3.2B2.19B.B3.13B.4B11.6B8.3A
12.B.3B.4B11.6B8.A9.7B4.2A$19.B.16B2A29B7.7B.B5.3B11.6B9.A20.3B12.5B
8.2A4.2A2.8B$18.2A17B2A22B.6B19.4B11.7B28.4B14.4B13.A.A12B13.2E$18.2A
41B2.B.5B17.2A12.7B29.2A16.3B14.A3.11B11.B2.E$19.42B7.2A18.A11.4B2.4B
28.A17.4B11.2A3.4B2A5B10.2B$17.5B2.36B8.A16.3A11.4B5.2A25.3A20.2A17.
3B2A5B9.3B$17.2A6.5B5.13B.4B16.3A13.A12.4B6.A26.A22.A18.10B8.4B$18.A
7.2B.3B3.7B.B5.3B19.A25.4B8.3A47.3A16.9B7.4B$15.3A12.2A15.4B45.4B11.A
49.A16.9B6.4B$15.A14.A16.2A46.4B79.8B6.4B$31.3A14.A45.4B81.8B4.4B$33.
A11.3A45.4B83.6B4.4B$45.A46.4B84.6B3.4B$91.4B85.6B2.4B$90.4B85.7B.4B$
89.4B86.6B.4B$88.4B19.A68.9B$87.4B.3B.B12.3A17.2A49.8B$80.18B10.A20.A
49.8B$79.16B2A2B5.B3.2A20.A11.A27.A8.7B$79.16B2A2B3.8B19.2A9.3A27.3A
6.6B$79.20B.8B21.B9.A33.A4.7B$79.29B19.3B9.2A10.2A19.2A4.7B$76.B.11B
2.2B.15B16.6B5.5B10.A15.A4.4B.8B$75.2A9B8.17B11.10B3.4B9.BA.A15.3A4.
11B$75.2A7B11.19B2.2B3.11B2.6B4.3B.B2A19.A2.12B$76.7B12.31B2A13B.7B
20.2A2.12B$76.7B13.7B.22B2A21B20.B3.11B$78.5B12.53B19.3B4.7B$80.4B10.
55B16.6B3.8B$79.4B12.8B2.46B11.10B2.9B$78.B2A2B12.6B11.4B.13B3.B.19B
2.2B3.23B$79.2A15.5B12.3B5.B.7B7.29B2A16B.B$96.4B14.4B19.6B.22B2A17B
2A$97.3B16.2A17.5B.B2.41B2A$95.4B17.A18.2A7.42B$95.2A20.3A16.A8.36B2.
5B$96.A22.A13.3A16.4B.13B5.5B6.2A$93.3A37.A19.3B5.B.7B3.3B.2B7.A$93.A
60.4B15.2A12.3A$156.2A16.A14.A$156.A14.3A$157.3A11.A$159.A!

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

Post by MikeP » May 16th, 2013, 2:33 am

Here's another Herschel-to-glider period doubler that I just found, with a 69-tick repeat time:

Code: Select all

x = 16, y = 47, rule = LifeHistory
2.A$.4A$A2.2A$A4.A$2A.A.2A$4.4A$4.4A$3.5A$2.2A2.A$3.3A$4.A4$12.2A.A$
12.A.2A2$5.2A$5.2A16$4.3C$4.C9.2A$3.3C7.A.A$13.A$12.2A2$12.2A$13.A$
12.A$10.3A.A$9.A3.A.A$9.2A2.A.A$14.A!

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

Post by Tropylium » June 1st, 2013, 5:55 pm

MikeP wrote:Here's another Herschel-to-glider period doubler that I just found, with a 69-tick repeat time:

Code: Select all

x = 16, y = 47, rule = LifeHistory
2.A$.4A$A2.2A$A4.A$2A.A.2A$4.4A$4.4A$3.5A$2.2A2.A$3.3A$4.A4$12.2A.A$
12.A.2A2$5.2A$5.2A16$4.3C$4.C9.2A$3.3C7.A.A$13.A$12.2A2$12.2A$13.A$
12.A$10.3A.A$9.A3.A.A$9.2A2.A.A$14.A!
For ease of constructability: this works just as well with the eater-hive-hook complex replaced with a hook with tail (and for taking less diagonal space, the catalysts can also be flipped vertically and the eater switched to a snake):

Code: Select all

x = 34, y = 12, rule = LifeHistory
.3C18.3C$.C9.2A9.C$3C7.A.A8.3C9.A$10.A20.3A$9.2A19.A$31.A$9.2A19.2A$
10.A$9.A20.2A$10.3A18.A$12.A17.A$30.2A!

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

Post by Sokwe » June 1st, 2013, 8:55 pm

What follows is my rambling on adding catalysts to ptbsearch.
Tropylium wrote:this works just as well with the eater-hive-hook complex replaced with a hook with tail
I think this particular catalyst might be a good candidate to add to ptbsearch. Here is another (useless) example of this reaction that I found a while ago:

Code: Select all

x = 41, y = 16, rule = B3/S23
8bo25bo$6b3o23b3o$5bo25bo$5b2o24b2o2$2b3o8b2o13b3o$bo3bo6bobo12bo3bo8b
o$o5bo5bo13bo5bo5b3o$o5bo4b2o13bo5bo4bo$o5bo19bo5bo5bo$bo3bo5b2o14bo3b
o5b2o$2b3o7bo15b3o$11bo25b2o$12b3o23bo$14bo23bobo$39b2o!
Obviously, this catalyst is closely related to the pi turner in gourmet. The advantage to this catalyst over the gourmet catalyst is that it works essentially the same way even when flipped as in the pattern above. This means that only 4 orientations need to be added to the catalyst file, rather than the normal 8 for asymmetric catalysts.

Another catalyst that might be good to add to ptbsearch is a table on table. Due to its symmetry, only two orientations need to be added. Here's an example of a table reaction:

Code: Select all

x = 15, y = 14, rule = B3/S23
8bo$6b3o$5bo$5b2o2$2b3o5b2ob2o$bo3bo5bobo$o5bo4bobo$o5bo3b2ob2o$o5bo$b
o3bo$2b3o5bo$9bobo$10bo!
Similar to the table on table, the dead spark coil can be useful and only needs two orientations. This catalyst features prominently in Paul Callahan's Herschel transmitter:

Code: Select all

x = 19, y = 20, rule = B3/S23
2b2ob2o$2bo3bo$3b3o2$3b3o$2bo3bo6bo$2b2ob2o6b3o$13bobo$15bo3$2obo$ob2o
4$15b2o$15bo$16b3o$18bo!
Since it has not been commonly used in stable circuitry, I think I should also mention the ship. It is obviously easy to construct, so ship reactions could be useful in self-constructing circuitry. I think the best way to define the ship catalyst is to have 4 orientations where only the 'point' on one end of the ship is fixed. Unfortunately, this can slow down searches a bit since the ship then acts almost like a transparent catalyst. To see what I mean, consider this B-to-glider converter:

Code: Select all

x = 21, y = 31, rule = B3/S23
7b2o11bo$7bobo8b3o$8b2o7bo$17b2o5$2o$obo$bo12$2o14b2o$2o14bobo$18bo$
18b2o$5bo$4b3o$3b2o2bo$12b2o$12b2o!
Despite the slow down, I think adding the ship like this is worthwhile, since it seems that very little searching has been done using it. Obviously, Guam's incredibly small Herschel conduit proves the usefulness of the ship as a catalyst:

Code: Select all

x = 27, y = 19, rule = B3/S23
2o$bo$bobo$2b2o7$19b2o$18bo2bo$3bo15b2o$3bobo$3b3o$5bo$24b2o$24bobo$
25b2o!
It might also be good to define the boat catalyst so that only the point is fixed, as would have been necessary to find the new p33 stabilization:

Code: Select all

x = 30, y = 24, rule = B3/S23
bo4b2o$obo2bobo$bo4bo5$12b2o$8b2obo2bo$7bobo5b5o$7bo3bo5bo2bo$7bo3b2o
8bo$8bo8b2o3bo$9bo2bo5bo3bo$10b5o5bobo$15bo2bob2o$16b2o5$23bo4bo$22bob
o2bobo$22b2o4bo!
A very non-standard spartan catalyst that comes up quite a lot is this ship and eater combination:

Code: Select all

x = 7, y = 13, rule = B3/S23
o$3o$3bo$2b2o2$5b2o$4bobo$4b2o2$3bo$b2o$bo$bo!
This reaction occurs so frequently that I think it would be beneficial to add it as a separate catalyst.

I have also experimented with adding the following non-spartan catalysts with some success:

Code: Select all

x = 158, y = 35, rule = B3/S23
8b2o21b2o24b2o17bo15b2o6b2o18bo12b2o18b2o$2b2o5bo22bo24bo17bobo14bo7bo
17b3o13bo18b2o$2bobob3o22bo23bobo18bo16b3ob2obo16bo14bo$4bobo24b4o19bo
bo38bobobo18bo13b2o2b2o13b4o$4b2o28bo15b2o3bo18b5o19bo13bo3bobo16bobo
12bo3bo$29b3o18b2o21bo4bo32b2o3b2o12b4obo13bobo$3bo24bo2bo23b2o15bo2bo
54bo2bob2o12bobo3bo$4bo23b2o25bo13bo2bob2o22b3o12b3o34bo3bobo$4bo27b2o
bo19bo12bobobo5bo19bo13bo24b3o13b2ob2o$5bo26bo2bo19bo13bo2bo4bobo18b3o
11bo24bo2bo12bo2bo$33bo2bo35b2o2bo2bo33b2o22bo14bo3bo$32bo3bo40b2o77bo
$80b2o13b2o$80bo15bo7$8b2o21b2o100b2o$2b2o5bo22bo101bo$2bobob3o22bo
100bo$4bobo24b4o97b2o2b2o$4b2o28bo100bobo$29b3o98b4obo$28bo2bo98bo2bob
2o$b2o25b2o108b3o$o2bo2bo130bo3bo$bo2b2obo128bo5bo$b3obobo21b3o104bo5b
o$28bo2bo2bo101bo5bo$28bo4bo103bo3bo$28bobo2bobo102b3o$29b2o3b2o!
One last catalyst that I think has potential is the following:

Code: Select all

x = 17, y = 16, rule = B3/S23
2$6bo2$7b3o$8bo2$8b2o2bo$7bob4o$5b3o$4bo3b3o$5b3o2bo$7bo!
I have not yet tried running ptbsearch with it, but it is essentially a solution to this problem which I have encountered fairly often:

Code: Select all

x = 4, y = 7, rule = B3/S23
o2$b3o$2bo2$2b2o$2b2o!
-Matthias Merzenich

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

Post by dvgrn » July 4th, 2013, 12:33 am

Tropylium wrote:For ease of constructability: this works just as well with the eater-hive-hook complex replaced with a hook with tail...
Just to get a copy of this into the right thread -- for fans of glider-constructibility, it's now possible to attach one of Guam's new Spartan period doublers to any p51+ or asynchronous glider stream. It will reflect every other glider that comes in:

Code: Select all

x = 46, y = 51, rule = B3/S23
42bo$40b3o$39bo$31b2o6b2o$31bobo$32bo3$44b2o$36b2o6b2o$36b2o2$27b2o$
27b2o2$42b2o$42bobo$44bo$44b2o$30b3o$32bo$31bo27$bo$b2o$obo!
These can obviously be chained together fairly tightly to produce any power of two multiplier you might want. Among many other uses, it's now suddenly possible to build much more compact high-prime-period oscillators and guns.

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

Post by Extrementhusiast » July 5th, 2013, 4:24 pm

Easily constructable period-tripler:

Code: Select all

x = 155, y = 59, rule = LifeHistory
3.3D$3.D3B$4.D3B$5.4B$6.4B$7.4B$8.4B$9.4B$10.4B$11.4B$12.4B$13.4B14.
2B$14.4B13.3B7.2A$15.4B11.5B6.A51.2A$16.4B.B5.B.7B2.BA.A51.A59.2A$17.
20B.B2A50.A.A59.A$17.22B52.2A58.A.A$17.14B2D6B112.2A$17.9B2D3B2D6B41.
2B.2C$18.8B2D10B40.2C3B2C$16.2AB2.16B41.2C5B$15.A.AB4.B.10B33.2A9.6B$
15.A11.8B32.A.A9.7B42.2A$14.2A12.7B32.A11.8B40.A.A$25.11B30.2A11.8B
40.A$24.12B41.3B2D6B38.2A$24.12B40.4B2D7B51.2C$24.11B41.12B52.2C$24.B
3C4B.4B39.11B51.4B$24.2BC4B4.2A39.B3C4B.4B47.5B$24.2B3C2B4.A40.2BC4B
4.2A47.B3C2B$24.6B6.3A37.2B3C2B4.A48.2BC3B5.2A$23.7B8.A37.6B6.3A45.2B
3CB5.A$22.4B.B47.7B8.A46.5B6.3A$21.4B49.4B.B57.5B8.A$20.4B49.4B61.3B$
19.4B49.4B62.3B$18.4B49.4B64.B$17.4B49.4B$16.4B49.4B$15.4B49.4B$14.4B
49.4B$13.4B49.4B$12.4B49.4B$11.4B49.4B$10.4B49.4B$9.4B49.4B$8.4B49.4B
$7.4B49.4B$6.4B49.4B$5.4B49.4B$4.4B49.4B$3.4B49.4B$2.4B49.4B$.4B49.4B
$DBDB49.4B$2DB49.DBDB$.D50.2DB$53.D!
I like to call this an instance of a 2-1-0 mechanism: first you get two gliders, then you get one, then you get none.

EDIT: I had posted a "P2" Herschel-to-glider converter elsewhere on this forum:

Code: Select all

x = 261, y = 61, rule = B3/S23
3$31bo49bo49bo49bo49bo$29b3o47b3o47b3o47b3o47b3o$4b2o22bo25b2o22bo25b
2o22bo25b2o22bo25b2o22bo$5bo22b2o25bo22b2o25bo22b2o25bo22b2o25bo22b2o$
5bobo47bobo47bobo47bobo47bobo37b2o$6b2o48b2o48b2o48b2o48b2o37b2o2$38bo
49bo49bo49bo48b2o$38b3o47b3o47b3o47b3o47bo$41bo49bo49bo49bo46bobo$16bo
23b2o11b2o11bo23b2o11b2o11bo23b2o11b2o11bo23b2o11b2o11bo22b2o$14b3o36b
2o9b3o36b2o9b3o36b2o9b3o36b2o9b3o$14bobo47bobo47bobo47bobo47bobo$14bo
49bo49bo49bo49bo2$254b2o$254b2o$39bo49bo49bo49bo49bo$39bobo47bobo47bob
o47bobo47bobo$28b2o9b3o36b2o9b3o36b2o9b3o36b2o9b3o36b2o9b3o$15b2o11b2o
11bo23b2o11b2o11bo23b2o11b2o11bo23b2o11b2o11bo23b2o11b2o11bo$16bo49bo
49bo49bo49bo$13b3o47b3o47b3o47b3o47b3o$13bo49bo49bo49bo49bo2$31b2o48b
2o48b2o48b2o$30bobo47bobo47bobo47bobo$30bo22b2o25bo22b2o25bo22b2o25bo
22b2o$29b2o22bo25b2o22bo25b2o22bo25b2o22bo$54b3o47b3o47b3o47b3o$56bo
49bo49bo49bo!
I Like My Heisenburps! (and others)

simeks
Posts: 401
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Location: Sweden

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

Post by simeks » May 26th, 2015, 5:06 pm

Found this period doubler, H-to-G5 every second time, the other times just FNG:

Code: Select all

x = 73, y = 34, rule = LifeHistory
67.2C$67.C$65.C.C$65.2C2$71.2C$47.2C22.C$29.2A17.C20.C.C$30.A17.C.C
18.2C$17.A11.A19.2C$17.3A9.2A$20.A$7.2A10.2A$8.A$8.A.A$9.2A57.2C$32.
2A15.E18.C.C$32.2A15.E.E18.C$49.3E18.2C$51.E2$63.2C$9.E53.C$9.E.E52.
3C$9.3E54.C$11.E11.2A$23.A$24.3A$26.A2$2.2A$3.A$3A$A!

simeks
Posts: 401
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Location: Sweden

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

Post by simeks » August 6th, 2015, 2:51 pm

I guess with the semi-Snark around, H-to-G period quadruplers that need to be preceeded by conduit 1 or something similar aren't all that useful...

Still, I found one that is so much smaller and faster that the one posted above (compression 69 ticks versus 170) that I wanted to post it:

Code: Select all

x = 107, y = 57, rule = LifeHistory
5.A.2A$5.2A.A4$7.A$6.A2.A$2A3.A4.A$2A4.2A2.A$4.2A2.3A6$7.2A18.2A$27.
2A2$24.2A5.2A$17.A6.2A5.2A$18.A$16.3A4$71.2A25.2C$71.A.A24.C.C$61.A
11.A25.C5.2C$61.3A9.2A30.C$64.A38.C.C$51.2A10.2A38.2C$52.A$52.A.A$42.
A10.2A$40.3A33.2A15.D$39.A36.2A15.D.D$39.2A52.3D$24.2A69.D$25.A$25.A.
2A$26.A2.A$27.2A$42.2A$42.2A23.2A$67.A$68.3A$70.A$51.A3.2A$50.A.A3.A$
49.A.A3.A$45.2A.A.A3.A$45.2A.A2.4A.A$49.A.A3.A.A$45.2A.2A2.A2.A.A$46.
A.A2.2A3.A$34.2A10.A.A$34.2A11.A!

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

Post by dvgrn » August 6th, 2015, 5:14 pm

Nice find! Very clean and simple -- takes up much less space than previous quadruplers, though it's still not quite good enough to connect to an Fx77, Fx119, or R64. I've added it to the quadrupler stamp collection at the top of this thread.
simeks wrote:I guess with the semi-Snark around, H-to-G period quadruplers that need to be preceeded by conduit 1 or something similar aren't all that useful...
Well, that depends. Seems as if this should set a few new records in the gun collection, if there's anywhere left that a spare Herschel gets generated and fed to an H-to-G. If you already have something like an F117 or L156 to connect to, then it's only necessary to add those two small still lifes.

Period quadruplers have played a big part in self-constructing circuitry lately, so maybe there's a use there somewhere. But the edge-shooting quadrupler might still win in that context.

simeks
Posts: 401
Joined: March 11th, 2015, 12:03 pm
Location: Sweden

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

Post by simeks » August 29th, 2015, 1:07 pm

dvgrn wrote:... though it's still not quite good enough to connect to an Fx77, Fx119, or R64.
I found a different period quadrupler with compression 69 that works with Fx77, R64 etc.:

Code: Select all

x = 100, y = 57, rule = LifeHistory
34.2A11.A$34.2A10.A.A$46.A.A2.2A3.A$45.2A.2A2.A2.A.A$49.A.A3.A.A12.2A
$45.2A.A2.4A.A13.A$45.2A.A.A3.A13.A.A$49.A.A3.A12.2A$50.A.A3.A34.C$
51.A3.2A32.3C$76.2C10.C6.2C$77.C10.2C4.C.C$77.C.C14.C$42.2A34.2C13.2C
.C2.C$42.2A52.4C$27.2A64.3C$26.A2.A63.C2.C.2C$25.A.2A66.2C.2C$25.A$
24.2A$39.2A37.D$39.A38.D.D$40.3A24.2A9.3D11.2C$42.A11.2A11.2A11.D11.C
$55.A37.3C$52.3A40.C$52.A9$16.3A$18.A$17.A6.2A5.2A$24.2A5.2A2$27.2A$
7.2A18.2A6$4.2A2.3A$2A4.2A2.A$2A3.A4.A$6.A2.A$7.A4$5.2A.A$5.A.2A!
EDIT: A similar period tripler:

Code: Select all

x = 94, y = 57, rule = LifeHistory
34.2A11.A$34.2A10.A.A$46.A.A2.2A3.A$45.2A.2A2.A2.A.A$49.A.A3.A.A12.2A
$45.2A.A2.4A.A13.A$45.2A.A.A3.A13.A.A$49.A.A3.A12.2A$50.A.A3.A$51.A3.
2A2$83.2C$83.C.C$42.2A40.C7.2C$42.2A48.C$27.2A61.C.C$26.A2.A60.2C$25.
A.2A$25.A$24.2A$39.2A37.D$39.A38.D.D$40.3A24.2A9.3D$42.A11.2A11.2A11.
D$55.A33.2C$52.3A34.C$52.A32.2C3.3C$85.C.C4.C$87.C$80.C.C4.2C$80.2C.C
$83.C$83.2C3$16.3A$18.A$17.A6.2A5.2A$24.2A5.2A2$27.2A$7.2A18.2A6$4.2A
2.3A$2A4.2A2.A$2A3.A4.A$6.A2.A$7.A4$5.2A.A$5.A.2A!

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gmc_nxtman
Posts: 1150
Joined: May 26th, 2015, 7:20 pm

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

Post by gmc_nxtman » July 10th, 2016, 6:17 pm

Old thread, but here's an even-only period tripler with gliders in two directions:

Code: Select all

x = 22, y = 81, rule = LifeHistory
A$3A8.2A$3.A7.2A$2.2A$11.4A6.A$11.A2.A4.3A$18.A$18.2A5$8.C$8.C.C$8.3C
$10.C17$A$3A8.2A$3.A7.2A$2.2A$11.4A6.A$11.A2.A4.3A$18.A$18.2A2$13.A$
13.A$13.A$8.C7.2A$8.C.C5.2A$8.3C$10.C17$A$3A8.2A$3.A7.2A$2.2A$11.4A6.
A$11.A2.A4.3A$18.A$18.2A5$8.C$8.C.C4.2A$8.3C3.A2.A$10.C3.A2.A$15.2A!

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simsim314
Posts: 1823
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Re: I'm looking for period multiplicating Herschel Tracks.

Post by simsim314 » July 11th, 2016, 12:39 am

@dvgrn great job, putting it all together! It's actually kinda important component we didn't documented.

As for the kiho park question, as it featured guns, if you're looking for gun constructed with period doublers, check out the universal gun script, that can construct any large period gun of logarithmic size.

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gmc_nxtman
Posts: 1150
Joined: May 26th, 2015, 7:20 pm

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

Post by gmc_nxtman » July 17th, 2016, 8:27 pm

Period doubler version of H-to-G#2(?):

Code: Select all

x = 62, y = 32, rule = LifeHistory
26.A15.2A$24.3A15.A.A2.2A$A22.A15.A4.A3.A$3A20.2A14.5A.3A$3.A39.A.A$
2.2A35.3ABABA$38.A2.AB2A4B$32.2A4.2A2.2B.5B$33.A11.6B4.2A$33.A.AB7.7B
.2BA.AB$11.C22.2AB.3B3.10B2A2B$9.3C24.20B.B2A$9.C.C24.17B4.BA.A$9.C
27.15B8.A$36.15B9.2A$34.17B$32.19B$32.2BC15B$31.3BCBC4B.9B$23.2A7.2B
3C4B2.7B$10.2A11.2A6.5BC4B2.7B$11.A18.10B4.6B$8.3A18.4B10.7B$8.A19.4B
12.6B$27.4B13.7B$26.4B15.5B$25.4B16.6B$24.4B15.9B$23.4B16.2A.7B$22.4B
18.A5.4B$21.4B16.3A7.4B$20.4B17.A10.4B!

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

Post by dvgrn » July 17th, 2016, 9:18 pm

gmc_nxtman wrote:Period doubler version of H-to-G#2(?)...
Thanks for the reminder, and sorry I'm a little slow. Stephen Silver's original H-to-G collection included a period doubler based on H-to-G #2, and I noticed just in the last few days that it wasn't in the period doubler collection at the top of this thread. Should have patched it up while I was thinking about it.

I think the simplest version just moves one of the eaters in H-to-G #2 to a different place:

Code: Select all

x = 33, y = 31, rule = LifeHistory
17.A$17.3A$20.A$19.2A4.2B$7.2A10.8B$8.A12.7B$8.A.AB7.9B$9.2AB.3B3.10B
$11.19B$11.18B$12.17B.B$11.19B2A$9.19B.B2A$7.19B4.B$7.2BC16B$6.3BCBC
4B.3B2D4B$7.2B3C4B2.2B2D3B$6.5BC4B2.7B$5.10B4.6B$4.4B10.7B$4.3B12.6B$
2.4B13.7B$2.2A16.5B$3.A16.6B$3A15.9B$A17.2A.7B$19.A5.4B$16.3A7.4B$16.
A10.4B$28.4B$29.4B!
EDIT: Oh, wait, it is in there already, after all, and it's even simpler than that -- the block catalyst actually doesn't get used:

Code: Select all

x = 43, y = 41, rule = LifeHistory
5$25.A$25.3A$28.A$27.2A4.2B$15.2A10.8B$16.A12.7B$16.A.AB7.9B$17.2AB.
3B3.10B$19.19B$19.18B$20.15B$19.15B$17.17B$14.20B$13.4BC15B$13.4BCBC
4B.3B2D4B$13.4B3C4B2.2B2D3B$13.6BC4B2.7B$13.10B4.6B$13.3B10.7B$13.2B
12.6B$13.B13.7B$10.2A16.5B$11.A16.6B$8.3A15.9B$8.A17.2A.7B$27.A5.3B$
24.3A7.2B$24.A!

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gmc_nxtman
Posts: 1150
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Re: I'm looking for period multiplicating Herschel Tracks.

Post by gmc_nxtman » July 18th, 2016, 12:32 pm

dvgrn wrote:EDIT: Oh, wait, it is in there already, after all, and it's even simpler than that -- the block catalyst actually doesn't get used:

Code: Select all

x = 43, y = 41, rule = LifeHistory
5$25.A$25.3A$28.A$27.2A4.2B$15.2A10.8B$16.A12.7B$16.A.AB7.9B$17.2AB.
3B3.10B$19.19B$19.18B$20.15B$19.15B$17.17B$14.20B$13.4BC15B$13.4BCBC
4B.3B2D4B$13.4B3C4B2.2B2D3B$13.6BC4B2.7B$13.10B4.6B$13.3B10.7B$13.2B
12.6B$13.B13.7B$10.2A16.5B$11.A16.6B$8.3A15.9B$8.A17.2A.7B$27.A5.3B$
24.3A7.2B$24.A!
Oops... :oops: Sorry, I really should have checked.

simeks
Posts: 401
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Location: Sweden

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

Post by simeks » October 26th, 2016, 1:23 pm

Simple as it is, this odd-period-only period doubler doesn't seem to be listed in the collection:

Code: Select all

x = 73, y = 32, rule = LifeHistory
67.C$65.3C$64.C$64.2C$47.2C$29.2A17.C$30.A17.C.C$17.A11.A19.2C$17.3A
9.2A$20.A$7.2A10.2A$8.A60.2C$8.A.A58.C.C$9.2A60.C$32.2A15.A21.2C$32.
2A15.A.A$49.3A$51.A$63.2C$63.C$9.A54.3C$9.A.A54.C$9.3A30.2A$11.A11.2A
18.A$23.A16.3A$24.3A13.A$26.A2$2.2A$3.A$3A$A!
EDIT:
A spartan version of this quadrupler, using the same principle:

Code: Select all

x = 98, y = 57, rule = LifeHistory
34.2A11.A$34.2A10.A.A$46.A.A2.2A3.A$45.2A.2A2.A2.A.A$49.A.A3.A.A12.2A
$45.2A.A2.4A.A13.A$45.2A.A.A3.A13.A.A$49.A.A3.A12.2A$50.A.A3.A$51.A3.
2A$76.2A18.C$77.A16.3C$77.A.A13.C$42.2A34.2A13.2C$42.2A$27.2A$26.A2.A
$25.A.2A$25.A70.2C$24.2A70.2C$39.2A37.D$39.A38.D.D$40.3A24.2A9.3D$42.
A11.2A11.2A11.D$55.A39.2C$52.3A40.2C$52.A3$93.2C$87.2C4.C.C$88.C6.C$
85.3C7.2C$85.C2$16.3A$18.A$17.A6.2A5.2A$24.2A5.2A2$27.2A$7.2A18.2A6$
4.2A2.3A$2A4.2A2.A$2A3.A4.A$6.A2.A$7.A4$5.2A.A$5.A.2A!

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Gustone
Posts: 744
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Re: I'm looking for period multiplicating Herschel Tracks.

Post by Gustone » August 18th, 2021, 12:42 pm

dvgrn wrote:
May 15th, 2013, 2:04 am
Gustone's SE2T55 doubler
minimized/simpler

Code: Select all

x = 30, y = 61, rule = LifeHistory
8.C.C$8.2C.C$11.3C$6.5C3.C$5.C4.C2.2C9.2C$4.C.BCB4.4B6.B2C2B$.C2.C.2C
B6.3B6.4B$C.C.C.4BC4.4B6.4B$.C2.C3.BCBC4.12B$4.2C2.C2BC3.B.11B$9.2C2B
.13B$11.16B$11.17B$11.17B$9.20B$7.22B$7.2BE19B$6.3BEBE17B$7.2B3E9B2D
6B$7.4BE9BDBD3B$8.14BD3B$12.14B$13.11B.B2C$14.12BC.C$17.8B3.C$17.8B3.
2C$18.B.4B7$8.C$7.C.C$8.C2$6.5C2.C$5.C4.C2.3C8.2C$4.C.BCB7.C6.B2C2B$.
C2.C.2CB6.2C7.4B$C.C.C.4BC4.4B6.4B$.C2.C3.BCBC5.11B$4.2C2.C2BC3.B.11B
$9.2C2B.13B$11.16B$11.17B$11.17B$9.20B$7.22B$7.2BE19B$6.3BEBE17B$7.2B
3E9B2C6B$7.4BE9BCBC3B$8.14BC3B$12.14B$13.11B.B2C$14.12BC.C$17.8B3.C$
17.8B3.2C$18.B.4B!
EDIT:

Code: Select all

x = 20, y = 18, rule = LifeHistory
9.2C$8.B2CB$9.2B$.2C7.2B$2.C6.4B$2.C.CB2.6B$3.2CB.8B$5.11B$5.10B$6.4B
2D4B$5.5BDBD3B.2B$3.8BD6B2C$.15B.B2C$.2BE10B2DB.B$3BEBE8B2D$.2B3E4B2.
B$.4BE4B$2.7B!
EDIT2: doubler for even periods, tripler for odd periods

Code: Select all

x = 20, y = 20, rule = LifeHistory
17.2C$17.C$14.BC.C$10.3B.B2C$7.8B$6.5BD2B$5.5B3D2B$4.7BD3B2.BC$4.13BC
.C$4.14B2C$3.7B2D5B$.9B2D6B2C$.2BE11B.BC.C$3BEBE8B3.BC$.2B3E8B$.4BE8B
$2.10B.B2C$9.2B2.BC.C$16.C$16.2C!
EDIT3: opposite directions in the exact same lane

Code: Select all

x = 27, y = 20, rule = LifeHistory
6.2C$5.B2C2B$6.4B2.3B$5.11B$4.12B$3.13B$2.15B$2.9B2D4B$11B2D4B$7BE9B
2C$7BEBE5B.C2BC2.2C$7B3E4B2.CBCB3.C$.8BE4B3.C4B.C.2C$2.11B6.B2C.C.C$
3.7B9.BCB.C2.C$5.4B8.C4.C2.2C$17.5C2$19.2C.C$19.C.2C!
EDIT4: 3/4 stable quadrupler

Code: Select all

x = 28, y = 24, rule = LifeHistory
11.C$11.3C$14.C12.C$13.2C10.3C$.2C10.6B5.C$2.C12.5B4.2C$2.C.CB7.8B.4B
$3.2CB.3B3.11B$5.20B$5.20B$6.19B$5.19B$3.21B$.23B$.2BE20B$3BEBE4B.12B
$.2B3E4B2.6B$.4BE4B3.6B$2.7B6.4B$14.B2C2B$15.2C.B2C$18.BC.C$21.C$21.
2C!
EDIT5: even period tripler with a H and G output

Code: Select all

x = 30, y = 35, rule = LifeHistory
26.C$3.C7.C13.C.C$3.3C5.3C11.C.C$6.C7.C9.2C.2C$5.2C6.2C3.B6.B2.C$2C3.
5B3.8B3.2CBC$.C5.5B3.8B.2C.C.C$.C.CB.6B3.7B.3B2.2C$2.2CB.18B$4.21B$4.
21B$4.19B.B2C$2.2B2E17B.BC.C$.4B2E13B.B5.C$.3B2E14B7.2C$2.2BE14B$3.
15B$9.9B$9.8B$9.8B$8.7B$9.6B$9.6B$9.6B$9.7B$10.6B$9.6B$10.5B$10.6B$
10.6B$10.5B$10.2B3D$11.BDB$11.3D$12.B!
EDIT6: VERY small doubler

Code: Select all

x = 25, y = 13, rule = LifeHistory
6.4B$5.2D5B$5.2D3B2D2B$6.4B2D5B$5.13B$3.15B$.17B$.2BE12B.B2C.C$3BEBE
4B.4B2.B2CB3C$.2B3E4B2.B6.B4.C$.4BE4B8.2C.3C$2.7B8.C2.2C$17.2C!
EDIT7: a direct B tripler version of the loaf doubler

Code: Select all

x = 25, y = 23, rule = DoubleB3S23
7.C$7.3C$10.C$9.2C2$16.2C$15.C2.C$16.C.C4.2C$17.C5.2C3$2C$.2C$2C$C3$
11.2A$9.B.A2.2B$8.B.B.C2AB$7.B.2B.2BA$7.B$6.2B!

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confocaloid
Posts: 2723
Joined: February 8th, 2022, 3:15 pm

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

Post by confocaloid » February 11th, 2023, 8:01 pm

Here is the basic idea of a reasonably simple stable pulse divider with an arbitrary pulse-division coefficient. It remains to prepend a converter from the desired input to the glider pair accepted by the pulse divider.

Assuming the speed tunnel and/or the syringe in the preceding circuit, there will always be at least 61 ticks between consecutive inputs, and the recovery is fast enough to divide by 5 at p61.

Code: Select all

x = 241, y = 253, rule = LifeHistory
207.2A$207.A.A$209.A4.2A$205.4A.2A2.A2.A$205.A2.A.A.A.A.2A$207.BABABA
.A$208.B2ABA.A$209.2B.BA$208.3B$199.2A6.4B$200.A6.B2A3B$200.A.AB3.B2A
3B$201.2AB.10B$203.13B$203.14B$203.15B13.A$205.8B2.4B10.3A$205.6B5.4B
8.A$204.9B4.4B7.2A$203.4B4.2A5.4B3.5B$202.4B5.A7.4B2.3B$201.4B7.3A5.
9B7.2A$188.2A10.4B10.A6.8B8.A$189.A9.4B19.10B3.B.A.2A$187.A10.4B20.7B
2A2B.B3A2.A$187.5A5.4B5.2A14.7B2A3BAB2.2A$192.A4.4B5.A15.12B4A$189.3A
B2.7B.BA.A13.2AB.7B3.2B.A$188.A.2B3.7B.B2A13.A.AB.7B2.B3A$188.4A12B
15.A5.4B4.A$186.2A2.BA3B2A7B9.A4.2A5.4B5.5A$185.A2.3AB.2B2A7B9.3A8.4B
10.A$185.2A.A.B3.10B12.A6.4B9.A$188.A8.8B10.2A5.4B10.2A$188.2A7.9B9.
5B.4B$198.3B2.4B10.7B$196.5B3.4B8.7B$196.2A7.4B5.BA6B$197.A8.4B3.BABA
7B3.B$194.3A10.4B.3B2A8B.B2A$194.A4.2A7.19B2A$200.A7.3B2C15B$200.A.AB
2.5B2C11B2.B$201.2AB2.17B$203.9B2.6B$176.B17.2A7.7B4.8B$176.EB17.A7.
3B2D7.B4.2A$176.3E16.A.AB2.5B2DB5.2A4.A$176.3BE16.2AB2.8B5.A6.3A$177.
B2EB17.9B8.3A5.A$178.4B7.2A7.7B12.A$179.4B7.A7.3B2D$180.4B6.A.AB2.5B
2DB$181.4B6.2AB2.8B$182.4B7.9B$183.4B6.7B$184.4B5.3B2D$185.4B2.5B2DB$
186.4B.8B$187.10B$188.7B$188.2CB2D$186.BCBCB2DB$186.3BC4B$185.7B$184.
6B$183.5B$182.B3C2B$181.4BC4B$180.4BC3.2A.A$179.5B4.2AB3A$178.5B6.B4.
A$177.5B6.2A.3A$176.5B5.A2.A.A$176.4B6.2A2$173.A$173.2A$172.A.A4$168.
2A$169.2A$168.A8$157.3A$159.A$158.A3$153.2A$152.A.A$154.A8$142.2A$
143.2A$142.A3$138.A$138.2A$137.A.A8$127.2A$126.A.A$128.A4$122.3A$124.
A$123.A7$112.A$112.2A$111.A.A4$107.2A$108.2A$107.A8$96.3A$98.A$97.A3$
92.2A$91.A.A$93.A8$81.2A$82.2A$81.A3$77.A$77.2A$76.A.A8$66.2A$65.A.A$
67.A4$61.3A$63.A$62.A7$51.A$51.2A$50.A.A4$46.2A$47.2A$46.A8$35.3A$37.
A$36.A3$31.2A$30.A.A$32.A8$20.2A$21.2A$20.A3$16.A$16.2A$15.A.A8$5.2A$
4.A.A$6.A4$3A$2.A$.A!
Edit (2023-02-13): actually this recovery would be sufficiently fast to divide by 5 at p57, and there is now a compatible H-to-G1 converter with repeat time 58.
Last edited by confocaloid on August 30th, 2023, 9:14 am, edited 1 time in total.
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Jormungant
Posts: 605
Joined: May 27th, 2016, 1:01 am

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

Post by Jormungant » February 13th, 2023, 6:08 pm

I dropped this earlier without any explanation, it might have some interest to be posted here instead:
Jormungant wrote:
November 3rd, 2022, 9:22 am
p103739 gun:

Code: Select all

x = 216, y = 288, rule = LifeHistory
7$43.A.2A.3B$43.2A.A5B$48.5B14.A.2A$49.4B14.2A.A$30.A19.4B22.2A$30.3A
12.B.3B.4B12.3A5.A.A$33.A10.9BAB2A5B4.BA2.A4.A$16.2A14.2A3.B5.2B2A6B
4A6B4.2B2A3.2A$15.B2AB13.8B3.2B2A6BA3BA5B2.3B.B4.B6.2A$16.2B16.8B.11B
3A6B.7B2.2B6.A$11.B3.2B17.20B3A13B2.5B.BA.A$10.2AB.4B15.15B.2B2.BA22B
.B2A$10.2A8B11.17B8.23B$11.B.B2A6B2.2B2.19B11.21B$14.2A31B12.20B$14.
24B.7B12.22B$10.37B11.22B6.2A$10.38B8.2AB.3B4.12B7.A$9.2A26B2.8B8.A.A
B8.12B4.BA.A$9.2A14B.4B11.6B8.A11.13B3.B2A$10.B.11B2.4B12.5B8.2A12.
12B.3B$12.10B2.4B14.4B20.5B3.10B$13.14B15.3B21.2A6.5B2A2B$12.14B17.4B
4.A15.A6.6B2A$13.13B19.2A4.3A10.3A7.5BA2B.2B$13.13B9.A9.A8.A9.A9.13B$
15.2B.2BA5B7.3A10.3A4.2A19.13B$18.2A6B6.A15.A4.4B17.14B$17.2B2A5B6.2A
21.3B15.14B$16.10B3.5B20.4B14.4B2.10B$16.3B.12B12.2A8.5B12.4B2.11B.B$
14.2AB3.13B11.A8.6B11.4B.14B2A$13.A.AB4.12B8.BA.A8.8B2.26B2A$13.A7.
12B4.3B.B2A8.38B$12.2A6.22B11.37B$20.22B12.7B.24B$21.20B12.31B2A$21.
21B11.19B2.2B2.6B2AB.B$21.23B8.17B11.8B2A$19.2AB.22BAB2.2B.15B15.4B.B
2A$18.A.AB.5B2.13B3A20B17.2B3.B$18.A6.2B2.7B.6B3A11B.8B16.2B$17.2A6.B
4.B.3B2.5BA3BA6B2A2B3.8B13.B2AB$24.2A3.2A2B4.6B4A6B2A2B5.B3.2A14.2A$
24.A4.A2.AB4.5B2ABA9B10.A$22.A.A5.3A12.4B.3B.B12.3A$22.2A22.4B19.A$
29.A.2A14.4B$29.2A.A15.4B$49.4B$50.4B$51.4B$52.4B$53.4B$54.4B$55.4B$
56.4B$57.4B$58.4B$59.4B$60.4B$61.4B$62.4B$63.4B$64.4B$65.4B$66.4B$67.
4B$68.4B$69.4B$70.4B$71.4B$72.4B$73.4B$74.4B$75.4B$76.4B$77.4B17.2A.
2A35.2A$78.4B17.A.A35.B2A2B$79.4B11.2A.A5.A.2A31.4B$80.4B9.A.A.2A3.2A
.A.A25.3B3.4B$81.4B7.A2.B2.BA.AB2.B2.A24.9B$82.4B6.7AB.B7A24.9B$83.4B
9.3B.B.3B27.9B$84.4B6.3AB.3B.B3A25.8B5.2A$85.4B4.A.BA3BA3BAB.A18.B4.
9B5.A$86.4B3.2A3.BABAB3.2A17.3B3.10B.BA.A$87.3BD7.BABAB20.6B2.10B.B2A
$88.DBDB6.2BA2B.B12.4B2.7B.12B$89.2D2B6.B.B.5B3.2B2.28B$90.BABA2.22BD
24B$91.B2A24BDBD23B11.A$92.A14B2A9B3DB2A21B8.3A$93.14B2A11BDB2A22B6.A
$94.53B5.2A$95.9B2.B2.3B.B5.10BA18B2.4B$96.9B16.B2.6BA17B.3B$89.2A5.
9B18.7BA18B2AB$89.A.A4.9B17.26B2ABA$91.A4.2B2A3B.B2A15.29BA2B$91.3A.
2BA2BA2B.BA.A12.2AB2.25B2ABA$89.2A2.BA3BABAB5.A11.A.AB2.4B.20BA5B$88.
A2.4A4BA4B3.2A10.A10.16B2A9B$88.2A.A.4B5.2A14.2A10.15B2ABA3BA4B$91.A.
2A7.A28.14B6A7B$91.A.A9.3A26.16B6A4B$90.2A.A.A9.A27.3B2A14BA4B$94.2A
39.B2A7BA10B$135.10BA2BA2BA4B$135.10BA2B2AB2A2BDB$136.14B2A3B3D$136.
10B.8BDB$137.18B$138.6B2.8B$138.15B$138.2B2A11B$139.B2A11B$141.10B.B
2A$143.5B4.BA.A$144.3D8.A$137.2A4.2BDB8.2A$138.A4.2BD$138.A.AB.4B$
139.2AB.2D3B$141.2B2D4B$141.9B$141.5B.4B$141.6B.4B$140.6B3.4B$140.7B
3.4B$124.2A15.6B4.4B$125.A8.B4.8B5.4B$125.A.AB3.4B.6B2AB7.4B$126.2AB.
13B2A2B7.4B$128.18B9.4B$128.16B12.4B$129.13B15.4B$131.12B15.4B$133.
10B16.4B10.A$133.11B16.4B7.3A$134.2B.7B17.4B5.A$134.11B17.4B4.2A5.2C$
133.11B19.9B4.CBC$133.11B20.6B5.3BC$125.2E2.2E2.11B19.BA3BD3B2.4B$
125.E2.E.E2.B3D4B2.B2A14.B.BABA3BD7B$126.2E.B3.2BD4B3.BA.A9.2A.2A3BA
2B3D6B$124.E.E2.2B2.2B3D2B6.A7.A2.A.2A14B$122.3E.E.BC2B.6B7.2A6.2A3.
15B$121.E4.E.E.C8B19.4B4.4BAB$122.3E.E.2E.8B19.BA2.A2.4BABA$124.2E7.
5B20.B4A3.3BABAB$132.6B18.A9.4BAB$133.6B17.5A6.5B$132.7B21.A7.3B$132.
6B20.A8.5B$132.6B20.2A6.B2AB2A$125.A7.B2A2B7.2A16.2A2.2A.AB2.2A$125.
3A5.B2A3B2.2A2.A.A15.A2.B3.A.A2.A$128.A3.7B2.A.A.A2.A15.7A.2A$121.2A
4.2A4.6B3.BA.AB2A22.A$122.A4.5B.7B2.2ABA20.4A.A$122.A.AB3.10B3.3BA.2A
17.A2.2A$123.2AB.11B.4B.BABA2.A$125.15B2A2B.BA2.2A$125.B2A10B.A2BA2B$
125.A2BA11B2A2B.BA2.2A$125.BABA9B.4B.BABA2.A$125.2BA10B4.3BA.2A$124.
14B4.2ABA$120.2A2.4B4.5B5.BA.AB2A$120.A2.AB2A6.4B4.A.A.A2.A$121.3ABAB
A6.4B3.2A2.A.A$125.A.A7.4B6.2A$121.5A.3A6.4B$121.A4.A3.A6.B3D$124.A.A
2.2A7.D3B$124.2A13.D3B$140.4B$141.4B$142.4B$143.4B$144.4B$145.4B$146.
4B$147.4B$148.4B$149.4B$150.4B$151.4B$152.4B$153.4B$154.4B$155.4B$
156.4B$157.4B$158.4B$159.4B$160.4B$161.4B$162.4B$163.4B$164.4B$165.4B
$166.4B$167.4B$168.4B$169.4B$159.A10.4B$157.3A11.4B$141.A14.A15.4B12.
2A8.2A$141.3A12.2A15.4B12.A8.A$144.A7.2B.3B3.7B.B4.2B2A11.A.2A2.BA.A$
143.2A6.5B5.13B.2A2B11.AB.A.B2A$143.5B2.27BA8B5.B2A2B$145.42B5.5B$
144.2A41B2.B.BA4B2.A$144.2A17B2A22B.3B3A3B.A.A$145.B.16B2A25B2ABA3B2.
A$147.23B3.2B2.11B3A2BABAB$148.9B2.10B11.11BA4BA$149.8B3.6B16.5BA2B3A
2BAB$150.7B4.3B19.4B4AB3A2B$147.11B3.B20.2A13B$146.12B2.2A20.2A12B$
137.2A7.12B2.A21.14B$136.A2.A2.2A2.11B4.3A18.15B$137.2A2.A.A2.8B.4B4.
A19.15B$139.2A.B3.7B4.2A24.15B$139.A2.2B2.7B4.A25.16B$136.2A.A.BA2B.
6B6.3A21.17B$136.A.2A.A.A8B8.A20.17B$140.A.A.8B28.4B2.11B$137.2A2.A4.
5B28.4B5.10B$135.3A.2A4.6B27.4B8.8B$134.A4.B6.6B25.4B9.7B$135.3AB2AB
3.7B24.4B10.6B$137.A.2AB.8B24.4B12.4B$141.10B23.4B8.2A2.A2B.2B$141.6B
2A3B21.4B9.A2.ABA.A2.A$141.6B2A2B21.4B12.2A.AB4A$141.10B20.4B16.A$
140.12B7.2A9.4B14.2A.A.2A$140.14B.2A3.A8.4B15.2A.2A.A$139.16BA2.A9.4B
$138.17B2.3A7.4B$135.2B.16B6.A5.4B$134.2A18B5.2A4.4B$134.2AB.17B4.9B$
135.B.4B.8B2.4B5.6B$142.7B4.4B2.8B$143.6B5.15B$145.4B6.14B$147.3BA5.
13B$148.BA.A5.10B.B2A$149.A.A7.3B2AB3.BA.A$150.A8.3B2AB6.A$151.3A7.4B
6.2A$153.A7.3B$158.AB.2B$157.A.AB2AB$157.A.ABABAB$154.2A.A.A.A.A2.A$
154.A2.A2.2A.4A$156.2A4.A$162.A.A$163.2A!
Hint: 103739 = 457x227
It is not your usual mechanism to high period multiplication, but it work with any 2 period that share no common factor, (though each needs to be > 220 or so). One needs to be strictly faster than the other to work properly, there is then 4 gliders released with every combination of period, which can trivially be brought back to 1. In all case, as long as no period share any common factor, such multiplicators can be combined arbitrarily, but using the above as a "x227 multiplicator" unit twice will not work, unlike your usual period multipliers in this thread.

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

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

Post by Kazyan » February 13th, 2023, 6:46 pm

Jormungant wrote:
February 13th, 2023, 6:08 pm
I dropped this earlier without any explanation, it might have some interest to be posted here instead:
Jormungant wrote:
November 3rd, 2022, 9:22 am
p103739 gun:

Code: Select all

x = 216, y = 288, rule = LifeHistory
7$43.A.2A.3B$43.2A.A5B$48.5B14.A.2A$49.4B14.2A.A$30.A19.4B22.2A$30.3A
12.B.3B.4B12.3A5.A.A$33.A10.9BAB2A5B4.BA2.A4.A$16.2A14.2A3.B5.2B2A6B
4A6B4.2B2A3.2A$15.B2AB13.8B3.2B2A6BA3BA5B2.3B.B4.B6.2A$16.2B16.8B.11B
3A6B.7B2.2B6.A$11.B3.2B17.20B3A13B2.5B.BA.A$10.2AB.4B15.15B.2B2.BA22B
.B2A$10.2A8B11.17B8.23B$11.B.B2A6B2.2B2.19B11.21B$14.2A31B12.20B$14.
24B.7B12.22B$10.37B11.22B6.2A$10.38B8.2AB.3B4.12B7.A$9.2A26B2.8B8.A.A
B8.12B4.BA.A$9.2A14B.4B11.6B8.A11.13B3.B2A$10.B.11B2.4B12.5B8.2A12.
12B.3B$12.10B2.4B14.4B20.5B3.10B$13.14B15.3B21.2A6.5B2A2B$12.14B17.4B
4.A15.A6.6B2A$13.13B19.2A4.3A10.3A7.5BA2B.2B$13.13B9.A9.A8.A9.A9.13B$
15.2B.2BA5B7.3A10.3A4.2A19.13B$18.2A6B6.A15.A4.4B17.14B$17.2B2A5B6.2A
21.3B15.14B$16.10B3.5B20.4B14.4B2.10B$16.3B.12B12.2A8.5B12.4B2.11B.B$
14.2AB3.13B11.A8.6B11.4B.14B2A$13.A.AB4.12B8.BA.A8.8B2.26B2A$13.A7.
12B4.3B.B2A8.38B$12.2A6.22B11.37B$20.22B12.7B.24B$21.20B12.31B2A$21.
21B11.19B2.2B2.6B2AB.B$21.23B8.17B11.8B2A$19.2AB.22BAB2.2B.15B15.4B.B
2A$18.A.AB.5B2.13B3A20B17.2B3.B$18.A6.2B2.7B.6B3A11B.8B16.2B$17.2A6.B
4.B.3B2.5BA3BA6B2A2B3.8B13.B2AB$24.2A3.2A2B4.6B4A6B2A2B5.B3.2A14.2A$
24.A4.A2.AB4.5B2ABA9B10.A$22.A.A5.3A12.4B.3B.B12.3A$22.2A22.4B19.A$
29.A.2A14.4B$29.2A.A15.4B$49.4B$50.4B$51.4B$52.4B$53.4B$54.4B$55.4B$
56.4B$57.4B$58.4B$59.4B$60.4B$61.4B$62.4B$63.4B$64.4B$65.4B$66.4B$67.
4B$68.4B$69.4B$70.4B$71.4B$72.4B$73.4B$74.4B$75.4B$76.4B$77.4B17.2A.
2A35.2A$78.4B17.A.A35.B2A2B$79.4B11.2A.A5.A.2A31.4B$80.4B9.A.A.2A3.2A
.A.A25.3B3.4B$81.4B7.A2.B2.BA.AB2.B2.A24.9B$82.4B6.7AB.B7A24.9B$83.4B
9.3B.B.3B27.9B$84.4B6.3AB.3B.B3A25.8B5.2A$85.4B4.A.BA3BA3BAB.A18.B4.
9B5.A$86.4B3.2A3.BABAB3.2A17.3B3.10B.BA.A$87.3BD7.BABAB20.6B2.10B.B2A
$88.DBDB6.2BA2B.B12.4B2.7B.12B$89.2D2B6.B.B.5B3.2B2.28B$90.BABA2.22BD
24B$91.B2A24BDBD23B11.A$92.A14B2A9B3DB2A21B8.3A$93.14B2A11BDB2A22B6.A
$94.53B5.2A$95.9B2.B2.3B.B5.10BA18B2.4B$96.9B16.B2.6BA17B.3B$89.2A5.
9B18.7BA18B2AB$89.A.A4.9B17.26B2ABA$91.A4.2B2A3B.B2A15.29BA2B$91.3A.
2BA2BA2B.BA.A12.2AB2.25B2ABA$89.2A2.BA3BABAB5.A11.A.AB2.4B.20BA5B$88.
A2.4A4BA4B3.2A10.A10.16B2A9B$88.2A.A.4B5.2A14.2A10.15B2ABA3BA4B$91.A.
2A7.A28.14B6A7B$91.A.A9.3A26.16B6A4B$90.2A.A.A9.A27.3B2A14BA4B$94.2A
39.B2A7BA10B$135.10BA2BA2BA4B$135.10BA2B2AB2A2BDB$136.14B2A3B3D$136.
10B.8BDB$137.18B$138.6B2.8B$138.15B$138.2B2A11B$139.B2A11B$141.10B.B
2A$143.5B4.BA.A$144.3D8.A$137.2A4.2BDB8.2A$138.A4.2BD$138.A.AB.4B$
139.2AB.2D3B$141.2B2D4B$141.9B$141.5B.4B$141.6B.4B$140.6B3.4B$140.7B
3.4B$124.2A15.6B4.4B$125.A8.B4.8B5.4B$125.A.AB3.4B.6B2AB7.4B$126.2AB.
13B2A2B7.4B$128.18B9.4B$128.16B12.4B$129.13B15.4B$131.12B15.4B$133.
10B16.4B10.A$133.11B16.4B7.3A$134.2B.7B17.4B5.A$134.11B17.4B4.2A5.2C$
133.11B19.9B4.CBC$133.11B20.6B5.3BC$125.2E2.2E2.11B19.BA3BD3B2.4B$
125.E2.E.E2.B3D4B2.B2A14.B.BABA3BD7B$126.2E.B3.2BD4B3.BA.A9.2A.2A3BA
2B3D6B$124.E.E2.2B2.2B3D2B6.A7.A2.A.2A14B$122.3E.E.BC2B.6B7.2A6.2A3.
15B$121.E4.E.E.C8B19.4B4.4BAB$122.3E.E.2E.8B19.BA2.A2.4BABA$124.2E7.
5B20.B4A3.3BABAB$132.6B18.A9.4BAB$133.6B17.5A6.5B$132.7B21.A7.3B$132.
6B20.A8.5B$132.6B20.2A6.B2AB2A$125.A7.B2A2B7.2A16.2A2.2A.AB2.2A$125.
3A5.B2A3B2.2A2.A.A15.A2.B3.A.A2.A$128.A3.7B2.A.A.A2.A15.7A.2A$121.2A
4.2A4.6B3.BA.AB2A22.A$122.A4.5B.7B2.2ABA20.4A.A$122.A.AB3.10B3.3BA.2A
17.A2.2A$123.2AB.11B.4B.BABA2.A$125.15B2A2B.BA2.2A$125.B2A10B.A2BA2B$
125.A2BA11B2A2B.BA2.2A$125.BABA9B.4B.BABA2.A$125.2BA10B4.3BA.2A$124.
14B4.2ABA$120.2A2.4B4.5B5.BA.AB2A$120.A2.AB2A6.4B4.A.A.A2.A$121.3ABAB
A6.4B3.2A2.A.A$125.A.A7.4B6.2A$121.5A.3A6.4B$121.A4.A3.A6.B3D$124.A.A
2.2A7.D3B$124.2A13.D3B$140.4B$141.4B$142.4B$143.4B$144.4B$145.4B$146.
4B$147.4B$148.4B$149.4B$150.4B$151.4B$152.4B$153.4B$154.4B$155.4B$
156.4B$157.4B$158.4B$159.4B$160.4B$161.4B$162.4B$163.4B$164.4B$165.4B
$166.4B$167.4B$168.4B$169.4B$159.A10.4B$157.3A11.4B$141.A14.A15.4B12.
2A8.2A$141.3A12.2A15.4B12.A8.A$144.A7.2B.3B3.7B.B4.2B2A11.A.2A2.BA.A$
143.2A6.5B5.13B.2A2B11.AB.A.B2A$143.5B2.27BA8B5.B2A2B$145.42B5.5B$
144.2A41B2.B.BA4B2.A$144.2A17B2A22B.3B3A3B.A.A$145.B.16B2A25B2ABA3B2.
A$147.23B3.2B2.11B3A2BABAB$148.9B2.10B11.11BA4BA$149.8B3.6B16.5BA2B3A
2BAB$150.7B4.3B19.4B4AB3A2B$147.11B3.B20.2A13B$146.12B2.2A20.2A12B$
137.2A7.12B2.A21.14B$136.A2.A2.2A2.11B4.3A18.15B$137.2A2.A.A2.8B.4B4.
A19.15B$139.2A.B3.7B4.2A24.15B$139.A2.2B2.7B4.A25.16B$136.2A.A.BA2B.
6B6.3A21.17B$136.A.2A.A.A8B8.A20.17B$140.A.A.8B28.4B2.11B$137.2A2.A4.
5B28.4B5.10B$135.3A.2A4.6B27.4B8.8B$134.A4.B6.6B25.4B9.7B$135.3AB2AB
3.7B24.4B10.6B$137.A.2AB.8B24.4B12.4B$141.10B23.4B8.2A2.A2B.2B$141.6B
2A3B21.4B9.A2.ABA.A2.A$141.6B2A2B21.4B12.2A.AB4A$141.10B20.4B16.A$
140.12B7.2A9.4B14.2A.A.2A$140.14B.2A3.A8.4B15.2A.2A.A$139.16BA2.A9.4B
$138.17B2.3A7.4B$135.2B.16B6.A5.4B$134.2A18B5.2A4.4B$134.2AB.17B4.9B$
135.B.4B.8B2.4B5.6B$142.7B4.4B2.8B$143.6B5.15B$145.4B6.14B$147.3BA5.
13B$148.BA.A5.10B.B2A$149.A.A7.3B2AB3.BA.A$150.A8.3B2AB6.A$151.3A7.4B
6.2A$153.A7.3B$158.AB.2B$157.A.AB2AB$157.A.ABABAB$154.2A.A.A.A.A2.A$
154.A2.A2.2A.4A$156.2A4.A$162.A.A$163.2A!
Hint: 103739 = 457x227
It is not your usual mechanism to high period multiplication, but it work with any 2 period that share no common factor, (though each needs to be > 220 or so). One needs to be strictly faster than the other to work properly, there is then 4 gliders released with every combination of period, which can trivially be brought back to 1. In all case, as long as no period share any common factor, such multiplicators can be combined arbitrarily, but using the above as a "x227 multiplicator" unit twice will not work, unlike your usual period multipliers in this thread.
Very cool! As far as I'm aware, that's the only other exact-timing AND gate we have besides this one:

Code: Select all

x = 254, y = 156, rule = LifeHistory
204.A$197.A5.A.A$197.3A4.A11.2B$200.A13.5B.2B$199.2A.9B2.10B3.2A$199.
25B.B.A$201.25B.A.2A$200.2A23B.2A.A$199.A.A24B.B2.A$199.A2B.23B5A$
200.A3.20B.AB$197.3A3.18B5.2A.2A$197.A6.17B6.A.2A$205.15B5.A$202.18B
5.2A$201.18B$201.18B$201.19B$201.8B.4B3.3BA$201.7B10.ABAB$201.7B11.2A
2B$201.6B13.4B$200.7B14.4B$199.8B15.4B$198.8B17.4B$197.9B18.4B$196.4B
.6B18.4B$195.4B.7B19.4B$194.4B2.6B21.4B13.A$193.4B3.6B22.4B10.3A$192.
4B4.6B23.4B8.A$191.4B4.8B23.4B7.2A$190.4B6.8B23.4B3.5B$189.4B6.9B24.
4B2.3B$188.4B7.9B25.9B7.2A$187.4B8.10B25.8B8.A$186.4B9.5B2A3B26.10B3.
B.A.2A$185.4B10.5B2A4B3.2A20.7B2A2B.B3A2.A$184.4B11.11B3.A21.7B2A3BAB
2.2A$183.4B12.12BA.A21.12B4A$182.4B15.8B2.2A4.2A10.2A2.2AB.7B3.2B.A$
181.4B10.2A4.7B9.A11.A2.A.AB.7B2.B3A$180.4B12.A4.6B7.BA.A13.2A5.4B4.A
$179.4B13.A.AB.6B3.3B.B2A15.A5.4B5.5A$178.ABAB15.2AB.14B15.A6.4B10.A$
177.B2AB18.16B15.2A4.4B9.A$176.3BA20.14B17.2B2.4B10.2A$175.4B20.16B
15.8B6.2A$85.2A87.4B21.18B13.7B7.A$81.2A.A.A9.A76.4B23.20B2.2B2.B2.7B
5.2A.A$82.A.A9.3A53.2A.2A17.4B25.35B4.A2.A$82.A.2A7.A57.A.A17.4B27.7B
.27B3.B2A$79.2A.A.4B5.2A51.2A.A5.A.2A11.4B28.6B2.16B2A14B$79.A2.4A4BA
4B3.2A22.2A11.2A8.A.A.2A3.2A.A.A9.4B28.6B3.16B2A13B$80.2A2.BA3BABAB5.
A.A18.2A2.A11.A8.A2.B2.BA.AB2.B2.A7.4B29.4B6.29B$82.3A.2BA2BA2B.BA.A.
3A14.3A.2A9.BA.A8.7AB.B7A6.4B30.2B2AB12.2B.B.17B$82.A4.2B2A3B.B2A5.A
12.A4.B6.3B.B2A13.3B.B.3B9.4B29.2AB.2A12.3B4.15B$80.A.A4.9B6.2A13.3AB
2A3.7B13.3AB.3B.B3A6.4B29.A.AB11.2A.2BA5.15B$80.2A5.9B6.4B13.A.2A.9B
12.A.BA3BA3BAB.A4.4B30.A14.A.2BA.A5.13B$87.9B8.3B14.3B.7B13.2A3.BABAB
3.2A3.4B30.2A15.A2.BA.A2.13B$86.9B2.B2.3B.4B2.2B11.10B17.BABAB7.D3B
49.A3.A.A.2A4.8B$85.30B2.B4.13B13.B.2BA2B6.BDBD48.A.4A2.AB2A6.6B$84.
14B2A11BD7B3.16B2.2B3.5B.B.B6.2B2D48.A.A3.A.A2.B8.5B$83.15B2A9B3D7B3.
12BD22B2.4B49.A.A2.A2.2A.2A9.B.B$82.27BDBD15B.4BDBD27B51.A3.2A2.A.A9.
3B$81.4B2.22BD11B2.4B.4B3D9B2A15B60.A.A9.B2AB$80.2D2B6.B.B.5B3.2B2.
14BAB2.8BD11B2A14B62.A11.2A$79.DBDB6.2BA2B.B12.11BABA3.34B$78.3BD7.BA
BAB17.8BABA4.4B6.4B.3B2.B2.9B$77.4B3.2A3.BABAB3.2A13.8BA6.4B6.3B8.9B$
76.4B4.A.BA3BA3BAB.A12.10B7.4B6.4B6.9B5.2A$75.4B6.3AB.3B.B3A13.9B9.4B
7.2A6.9B4.A.A$74.4B9.3B.B.3B15.8B11.4B6.A5.2AB.3B2A2B4.A$73.4B6.7AB.B
7A12.7B12.4B6.3A.A.AB.2BA2BA2B.3A$72.4B7.A2.B2.BA.AB2.B2.A13.5B14.4B
7.A.A5.BABA3BAB2.2A$71.4B9.A.A.2A3.2A.A.A15.2B17.4B7.2A3.4BA4B4A2.A$
70.3AB11.2A.A5.A.2A36.4B11.2A5.4B.A.2A$69.3BA17.A.A42.4B11.A7.2A.A$
68.3BA17.2A.2A42.4B7.3A9.A.A$67.4B66.4B6.A9.A.A.2A$66.4B68.4B15.2A$
65.4B70.4B$64.4B72.4B$63.4B74.4B$62.4B76.4B$61.4B$60.4B$59.4B$58.4B$
57.4B$56.4B$55.4B$54.4B$53.4B$52.4B$51.4B$50.4B$49.4B$48.4B105.2C$47.
4B106.C$46.4B108.3C$45.4B111.C$44.4B$43.4B$42.4B$41.4B$40.4B$20.2A.A
15.4B$20.A.2A14.4B$13.2A22.4B19.A$13.A.A5.3A12.4B.3B.B12.3A$15.A4.A2.
AB4.18B10.A$15.2A3.2A2B4.16B2A2B5.B3.2A14.2A$8.2A6.B4.B.3B2.16B2A2B3.
8B13.B2AB$9.A6.2B2.7B.20B.8B16.2B$9.A.AB.5B2.32B3AB17.2B3.B$10.2AB.
24B2.2B.9B2ABA2B15.4B.B2A$12.23B8.8B2ABA5B11.8B2A$12.21B11.8BABA8B2.
2B2.6B2AB.B$12.20B12.9B2A4BA15B2A$11.22B12.7B.4BABA17B$3.2A6.22B11.
14B2A21B$4.A7.12B4.3B.B2A8.38B$4.A.AB4.12B8.BA.A8.8B2.26B2A$5.2AB3.
13B11.A8.6B11.4B.14B2A$7.3B.12B12.2A8.5B12.4B2.11B.B$7.10B3.5B20.4B
14.4B2.10B$8.9B6.2A21.3B15.14B$9.8B6.A15.A4.4B17.14B$6.2B.8B7.3A10.3A
4.2A19.13B$4.13B9.A9.A8.A9.A9.13B$4.13B19.2A4.3A10.3A7.8B.2B$3.14B17.
4B4.A15.A6.8B$4.14B15.3B21.2A6.9B$3.10B2.4B14.4B20.5B3.10B$.B.11B2.4B
12.5B8.2A12.12B.3B$2A14B.4B11.6B8.A11.13B3.B2A$2A26B2.8B8.A.AB8.12B4.
BA.A$.38B8.2AB.3B4.12B7.A$.21B2A14B11.22B6.2A$5.17BABA4B.7B12.22B$5.
2A15BA4B2A9B12.20B$2.B.B2A6B2.2B2.8BABA8B11.21B$.2A8B11.5BAB2A8B8.23B
$.2AB.4B15.2BAB2A9B.2B2.24B.B2A$2.B3.2B17.B3A32B2.5B.BA.A$7.2B16.8B.
20B.7B2.2B6.A$6.B2AB13.8B3.2B2A16B2.3B.B4.B6.2A$7.2A14.2A3.B5.2B2A16B
4.2B2A3.2A$24.A10.18B4.BA2.A4.A$21.3A12.B.3B.4B12.3A5.A.A$21.A19.4B
22.2A$40.4B14.2A.A$39.BA3B14.A.2A$34.2A.ABABAB$34.A.2A.2AB!
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dvgrn
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Re: I'm looking for period multiplicating Herschel Tracks.

Post by dvgrn » February 13th, 2023, 11:40 pm

Kazyan wrote:
February 13th, 2023, 6:46 pm
Very cool! As far as I'm aware, that's the only other exact-timing AND gate we have besides this one...
Well, let's see... I think that this other thing (asynchronous AND gate) would work fine as an exact-timing AND gate, provided a RESET A (glider) followed by RESET B (LWSS) was wired up to it. Basically split the A signal such that A is followed by RESET A, and similarly split the B signal such that B is followed by RESET B... and pick the relative times totally arbitrarily, with the stipulation that RESET A comes safely after both A and B, and then RESET B comes safely after RESET A.

But that would be kind of a strange use of that mechanism, and not nearly as elegant.

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confocaloid
Posts: 2723
Joined: February 8th, 2022, 3:15 pm

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

Post by confocaloid » February 14th, 2023, 4:13 pm

Jormungant wrote:
February 13th, 2023, 6:08 pm
I dropped this earlier without any explanation, it might have some interest to be posted here instead:
Jormungant wrote:
November 3rd, 2022, 9:22 am
p103739 gun:

Code: Select all

rle
Hint: 103739 = 457x227
It is not your usual mechanism to high period multiplication, but it work with any 2 period that share no common factor, (though each needs to be > 220 or so). One needs to be strictly faster than the other to work properly, there is then 4 gliders released with every combination of period, which can trivially be brought back to 1. In all case, as long as no period share any common factor, such multiplicators can be combined arbitrarily, but using the above as a "x227 multiplicator" unit twice will not work, unlike your usual period multipliers in this thread.
Kazyan wrote:
February 13th, 2023, 6:46 pm
Very cool! As far as I'm aware, that's the only other exact-timing AND gate we have besides this one:

Code: Select all

rle
Here is another way (p8955 = 199 x 45 in the shown pattern), assuming there is some reasonable way to generate the two colliding sparks:

Code: Select all

x = 219, y = 153, rule = LifeHistory
187.2A13.2B5.2A$186.B2AB12.4B2.A.A$187.4B10.8BA$150.2A11.A24.2B11.7B
6.B$149.B2AB9.A.A22.3B12.5BA5.3B$150.3B9.A.A21.5B5.2A5.5BA4.3B$149.B.
B9.2A.3A2.2A15.6B4.A5.4BABA3.2BA2B$149.5B8.B4.A2.A15.6B.BA.A5.5BAB3.B
3AB$119.2A28.6B6.2AB3A3.A.AB2.4B3.9B.B2A7.6B2.B2AB2AB$119.A.A27.8B4.
2A.A6.2AB2.5B.12B6.2B.2B3AB2.3AB3A$121.A4.2A22.13B10.8B.12B5.2A10B3AB
3AB$117.4A.2A2.A2.A18.13B12.21B5.2AB.2BA2BA2B3AB3AB$117.A2.A.A.A.A.2A
17.15B12.19B7.B2.3B3AB.3AB3A$119.BABABA.A20.15B10.B2.3A16B8.10B2AB2AB
$120.B2ABA.A19.17B.B5.5B4A17B6.9B.B3AB$121.2B.BA20.28B4ABA17B6.6B3.2B
A2B$120.3B22.13B2A9BA3BAB3AB2A15B7.6B4.3B$111.2A6.4B21.14B2A9BA2BA4B
3A18B4.7B4.3B$112.A6.B2A3B18.2AB3.19B2A2BA5BA19B4.7B5.B$112.A.AB3.B2A
3B17.A2.A4.22B3A22B6.6B$113.2AB.10B14.A.2A5.6B3.B2.2B2.2B3A25B6.6B$
115.13B13.A7.6B13.B2AB2.22B6.B2C3B$115.14B11.2A6.9B17.21B7.6B$115.15B
17.4B4.2A19.19B2.2B4.2C2B$117.8B2.4B7.4A4.4B5.A20.25B.3BC$117.6B5.2BA
B5.A3.A3.4B7.3A17.24B2C3B$116.9B4.2B2A4.2A5.4B10.A17.24B3C3B$115.4B4.
2A5.2A7B4.4B30.22B3C5B$114.4B5.A7.6B5.4B31.22BCB3.4B$113.4B7.3A4.8B2.
4B32.14B.2B.B9.4B$112.4B10.A2.15B34.10B2.2B14.4B$111.4B14.14B34.3B2.B
2.2B2.4B14.4B$110.4B15.13B36.2B2AB5.4B16.4B$97.2A10.4B14.2AB.10B35.2A
B.2A5.4B18.4B$98.A9.4B14.A.AB3.B2A3B36.A.AB7.4B20.4B$96.A10.4B15.A6.B
2A3B36.A9.4B22.4B$96.5A5.4B5.2A8.2A6.4B37.2A8.4B24.4B$101.A4.4B5.A18.
3B46.4B26.4B$98.3AB2.7B.BA.A19.2B.BA42.4B28.4B$97.A.2B3.7B.B2A19.B2AB
A.A40.4B30.3BD$97.4A12B20.BABABA.A39.4B32.DBD$95.2A2.BA3B2A7B18.A2.A.
A.A.A.2A35.4B34.2D$94.A2.3AB.2B2A7B18.4A.2A2.A2.A34.4B$94.2A.A.B3.10B
22.A4.2A35.4B$97.A8.8B19.A.A40.4B$97.2A7.9B18.2A40.4B$107.3B2.4B58.4B
$105.5B3.4B10.2A44.4B$105.2A7.4B9.A44.4B$106.A8.4B10.A41.4B$103.3A3.
2A5.4B5.5A40.4B$80.2A21.A6.A5.4B4.A44.4B$79.B2AB11.2A.A.2A9.A.AB.7B2.
B3A40.4B$80.3B4.A.2A.A2.A.2A2.A4.A4.2AB.7B3.2B.A38.4B$79.B.B5.2A.A.2A
.A4.A.A3.3A4.12B4A37.4B$79.5B8.B2.5A.A7.A3.7B2A3BAB2.2A34.4B$79.6B6.
2ABA4.A8.2A.9B2A2B.B3A2.A32.4B$79.8B4.2A.A.AB2.A7.4B2A9B3.B.A.2A31.4B
$80.13B2.A.A2B.A8.2ABA6B8.A33.4B$78.13B5.A2B.2A8.10B7.2A32.4B$77.15B
3.3B11.3BA6B41.4B$77.15B3.2B12.ABA3B.5B38.4B$76.17B.4B10.2BA4B4.2A37.
4B$76.29B4.6B4.A37.4B$75.13B2A16B2.7B5.3A33.4B$74.14B2A16B2.2B2A3B7.A
32.4B$73.2AB3.27B.3B2A4B38.4B$72.A2.A4.36B37.4B$71.A.2A5.6B3.B2.2B2.
20B4.B31.4B$71.A7.6B14.10B2A7B.B2A29.4B$70.2A6.9B14.7BA2BABABA4B2A28.
4B$77.4B4.2A15.7B2A2BABA3B.B28.4B$76.4B5.A15.7BA5B3AB30.4B$75.4B7.3A
12.8BA6B2A29.4B$74.4B10.A10.2AB.6BA8B28.4B$73.4B21.A.AB4.3BA8B27.4B$
72.4B22.A9.AB2A7B25.4B$71.2A2B22.2A8.A3B2A7B23.3AB$70.ABAB33.BA2BABA
5B23.3BA$69.3BA35.B2A2B2A3B23.3BA$68.4B37.B2AB2A3B22.4B$67.4B38.2BABA
4B21.4B$66.4B39.3BA5B20.4B$65.4B41.5B22.4B$64.4B42.4B22.4B$63.4B43.4B
21.4B$62.4B43.4B21.4B$61.4B43.4B21.4B$60.4B43.4B21.4B$59.4B43.4B21.4B
$58.4B43.4B21.4B$57.4B43.4B21.4B$56.4B43.4B21.4B$55.4B43.4B21.4B$15.
2A11.A25.4B43.4B21.4B$14.B2AB9.A.A23.4B43.4B21.4B$15.3B9.A.A2.2A3.A3.
A10.4B43.4B21.4B$14.B.B9.2A.2A2.A2.A.A2.3A7.4B43.4B21.4B$14.5B8.B2.A.
A3.A.A5.A5.4B43.4B21.4B$14.6B6.2ABA2.4A.A5.2A.7B43.4B21.4B$14.8B4.2A.
A.A3.A7.9B43.4B21.4B$15.13B2.A.AB2.A8.6B43.4B21.4B$13.13B5.A.A2B.A7.
5B43.4B21.4B$12.10B3ABA5.A2B.2A6.7B27.A13.4B21.4B$12.9BAB4A4.3B10.6B
28.3A10.4B21.4B$11.9BA7B.B.2B10.7B31.A8.4B21.4B$11.10B2A17B4.6B30.2A
7.4B21.4B$10.31B2.7B30.5B3.4B21.4B$9.32B2.7B32.3B2.4B21.4B$8.2AB3.27B
.9B21.2A7.9B21.4B$7.A2.A4.36B21.A8.8B21.4B$6.A.2A5.6B3.B2.2B2.20B4.B
13.2A.A.B3.10B21.4B$6.A7.6B14.19B.B2A12.A2.3AB.2B2A7B20.4B$5.2A6.9B
14.19B2A13.2A2.BA3B2A7B19.4B$12.4B4.2A15.17B.B16.4A12B18.4B$11.4B5.A
15.17B19.A.2B3.7B.B2A15.4B$10.4B7.3A12.17B20.3AB2.7B.BA.A2.2A9.4B$9.
4B10.A10.2AB.15B23.A4.4B5.A2.A9.4B$8.4B21.A.AB4.12B18.5A5.4B5.3A2.A6.
4B$8.4B21.A9.11B17.A10.4B7.3A5.4B$7.5B20.2A8.13B18.A9.4B5.A7.4B$4.9B
29.12B18.2A10.4B4.2A5.4B$4.9B30.10B32.9B4.4B$4.9B31.9B33.4BAB5.4B$4.
10B30.9B33.2B5AB2.4B$3.12B29.9B31.4B2A5B2A2B$2.13B8.2A20.5B34.4BABA7B
$3.11B9.A21.4B35.3B2A2BA4BA$4.12B4.BA.A21.4B33.2AB.2ABA4B2A$4.15B.B2A
10.A10.4B33.A.AB3.5AB$4.17B12.3A7.4B34.A6.ABABAB$4.17B15.A5.4B34.2A6.
4B$.B.17B15.2A4.4B44.ABA$2A19B14.9B6.2A38.2B.BA$2AB.19B14.6B7.A38.A3B
A.A$.B4.20B2.2B2.B3.6B5.2A.A37.BABABA.A$6.36B4.A2.A36.A2.A.A.A.A.2A$
6.9B.27B3.B2A37.4A.2A2.A2.A$7.7B2.32B42.A4.2A$7.7B2.31B41.A.A$7.6B4.
17B2A10B42.2A$7.7B10.2B.B.7BA9B$7.6B10.3B4.4ABA9B$6.7B6.2A.2BA5.AB3A
10B$7.6B6.A.2BA.A5.13B$8.5B7.A2.BA.A2.13B$8.6B7.A3.A.A.2A4.8B$10.4B5.
A.4A2.AB2A6.6B$9.B2A2B4.A.A3.A.A2.B8.5B$10.2A6.A.A2.A2.2A.2A9.B.B$19.
A3.2A2.A.A9.3B$27.A.A9.B2AB$28.A11.2A!
There's a point where the collision creates a block, but the block is safely removed by the top spark if it repeats earlier than the other one.

(Here's the same reaction in the form of a p2790 = 62 x 45 gun in another rule behaving in a similar way to CGoL, where there's a small p62 sparker that can replace the engineered glider-to-spark above:)
confocaloid wrote:
August 16th, 2022, 11:37 pm
Another period-2790 glider gun using the p45 pi-heptomino hassler:

Code: Select all

x = 46, y = 42, rule = B3/S234c
o$3o$3bo33bo$2b2o32b3o$31bo3b2obo$32bo$31bo2$35bo$25b2o8b2o4bobo$24b2o
16bo$25b2o4bo$26bo3b2o$38b2o3bo$38bo4b2o$27bo16b2o$26bobo4b2o8b2o$34bo
2$38bo$37bo$31bob2o3bo$31b3o$32bo3$4bo$4bo$3bobo$4bo7bo$4bo7b2o4b2o$4b
o8b2o3b2o$4bo7b2o$3bobo6bo$4bo$4bo4$9bo$8bobo$8b2o!
Last edited by confocaloid on August 30th, 2023, 9:44 am, edited 1 time in total.
127:1 B3/S234c User:Confocal/R (isotropic rules, incomplete)
Unlikely events happen.
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dvgrn
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Re: I'm looking for period multiplicating Herschel Tracks.

Post by dvgrn » February 14th, 2023, 6:09 pm

confocaloid wrote:
February 14th, 2023, 4:13 pm
Here is another way (p8955 = 199 x 45 in the shown pattern), assuming there is some reasonable way to generate the two colliding sparks:

Code: Select all

x = 219, y = 153, rule = LifeHistory...
That can be simplified a bit -- no need for two trombone slides when there's room to adjust the longer one to make up for the absence of the other one (-128 ticks):

Code: Select all

x = 164, y = 98, rule = LifeHistory
132.2A13.2B5.2A$131.B2AB12.4B2.A.A$132.4B10.8BA$95.2A11.A24.2B11.7B6.
B$94.B2AB9.A.A22.BAB12.6B5.3B$95.3B9.A.A21.B3AB5.2A5.6B4.3B$94.B.B9.
2A.3A2.2A15.ABABAB4.A5.7B3.5B$94.5B8.B4.A2.A15.A3B2A.BA.A5.7B3.B3AB$
94.6B6.2AB3A3.A.AB2.4B3.B2A6B.B2A7.2B2A2B2.2BABA2B$94.8B4.2A.A6.2AB2.
5B.BA4BA5B6.2B.BABA2B2.2B3A2B$95.13B10.8B.5BABA4B5.2A3BA8B3A3B$93.13B
12.10BAB4A3BAB5.2AB.BABA6B3A3B$92.15B12.4B2A3B3A6BA7.B2.2B2A3B.2B3A2B
$92.15B10.B2.2BA2BA2BA7BA2B8.11BABA2B$91.17B.B5.8B2A10B2A4B6.9B.B3AB$
91.42BAB2A5B6.6B3.5B$90.13B2A13B2A11B3AB2A4B7.6B4.3B$89.14B2A13B2A6BA
5BABA8B4.7B4.3B$88.2AB3.33B2A3B2A9B4.7B5.B$87.A2.A4.33B2A2B3A7B6.6B$
86.A.2A5.6B3.B2.2B2.19B2AB2A6B6.6B$55.2A29.A7.6B13.4B2.12B3A7B6.B2D3B
$54.B2AB11.2A.A.2A9.2A6.9B17.13BA7B7.6B$55.3B4.A.2A.A2.A.2A2.A4.A10.
4B4.2A19.19B2.2B4.2D2B$54.B.B5.2A.A.2A.A4.A.A3.3A7.4B5.A20.25B.3BD$
54.5B8.B2.5A.A7.A3.B.4B7.3A17.24B2D3B$54.6B6.2ABA4.A8.2A.3BA3B10.A17.
24B3D3B$54.8B4.2A.A.AB2.A7.6B2AB30.22B3D5B$55.13B2.A.A2B.A8.3BABA31.
22BDB3.4B$53.13B5.A2B.2A8.5B32.19B9.4B$52.15B3.3B11.7B32.10B2.4B12.4B
$52.15B3.2B12.6B32.3B2.B2.2B2.4B14.4B$51.17B.4B10.7B33.2B2AB5.4B16.4B
$51.29B4.6B31.2AB.2A5.4B18.4B$50.13B2A16B2.7B30.A.AB7.4B20.4B$49.14B
2A16B2.7B30.A9.4B22.4B$48.2AB3.27B.3B2A4B28.2A8.4B24.4B$47.A2.A4.36B
37.4B26.4B$46.A.2A5.6B3.B2.2B2.12B6A2B4.B31.4B28.3BA$15.2A11.A17.A7.
6B14.9BAB3AB2A2B.B2A29.4B30.ABA$14.B2AB9.A.A15.2A6.9B14.7BABA3B2A4B2A
28.4B32.2A$15.3B9.A.A2.2A3.A3.A10.4B4.2A15.9B5A3B.B28.4B$14.B.B9.2A.
2A2.A2.A.A2.3A7.4B5.A15.12BABA2B30.4B$14.5B8.B2.A.A3.A.A5.A5.4B7.3A
12.13B2A2B29.4B$14.6B6.2ABA2.4A.A5.2A.7B10.A10.2AB.11BA3B28.4B$14.8B
4.2A.A.A3.A7.5B2A2B21.A.AB4.12B27.4B$15.13B2.A.AB2.A8.4B2A22.A9.11B
25.4B$13.13B5.A.A2B.A7.3BAB22.2A8.13B23.4B$12.15B5.A2B.2A6.7B31.6BA5B
23.4B$12.15B4.3B10.6B33.5B2A3B23.4B$11.17B.B.2B10.7B34.2BA2B2A2B22.4B
$11.29B2.8B34.BA7B21.4B$10.13B2A25B34.ABA6B20.4B$9.14B2A20B2A3B35.4A
2B21.4B$8.2AB3.31B2A4B34.B3AB21.4B$7.A2.A4.31B2A3B34.2BAB21.4B$6.A.2A
5.6B3.B2.2B2.12BA3B2A2B4.B28.4B21.4B$6.A7.6B14.9BA3BABA3B.B2A12.A13.
4B21.4B$5.2A6.9B14.7BA3BABA5B2A12.3A10.4B21.4B$12.4B4.2A15.10B3A4B.B
16.A8.4B21.4B$11.4B5.A15.12BAB2AB18.2A7.4B21.4B$10.4B7.3A12.6BA4BABA
3B18.5B3.4B21.4B$9.4B10.A10.2AB.3BABA9B20.3B2.4B21.2A2B$8.4B21.A.AB4.
12B10.2A7.9B21.ABAB$8.B2AB21.A9.11B9.A8.8B21.3BA$7.B2ABA20.2A8.13B5.
2A.A.B3.10B21.4B$4.3B2A3BA29.12B6.A2.3AB.2B2A7B20.4B$4.2BABAB2AB30.4B
3A3B8.2A2.BA3B2A7B19.4B$4.3B3A3B31.3B3A3B10.4A12B18.4B$4.3B3A4B30.B2A
BABA2B10.A.2B3.7B.B2A15.4B$3.12B29.A3B2A3B11.3AB2.7B.BA.A2.2A9.4B$2.
13B8.2A20.AB2AB17.A4.4B5.A2.A9.4B$3.11B9.A21.B2AB13.5A5.4B5.3A2.A6.4B
$4.12B4.BA.A21.4B13.A10.4B7.3A5.4B$4.9BABA3B.B2A10.A10.4B16.A9.4B5.A
7.4B$4.3BABA4BA6B12.3A7.4B16.2A10.4B4.2A5.4B$4.B2ABA12B15.A5.4B30.9B
4.4B$.B.4B3A10B15.2A4.4B32.6B5.4B$2A5BABA3BA7B14.9B6.2A25.8B2.4B$2AB.
3BABA3BA9B14.6B7.A24.15B$.B4.2B2A3BA12B2.2B2.B3.6B5.2A.A24.14B$6.3B2A
31B4.A2.A25.13B$6.4B2A3B.27B3.B2A24.2AB.10B$7.3B2A2B2.16B2A14B24.A.AB
3.B2A4B$7.7B2.16B2A13B25.A6.B2A3B$7.6B4.29B25.2A6.5B$7.7B10.2B.B.17B
34.3B$7.6B10.3B4.15B36.2B.BA$6.7B6.2A.2BA5.15B35.B2ABA.A$7.6B6.A.2BA.
A5.13B35.BABABA.A$8.5B7.A2.BA.A2.13B35.A2.A.A.A.A.2A$8.6B7.A3.A.A.2A
4.8B34.4A.2A2.A2.A$10.4B5.A.4A2.AB2A6.6B38.A4.2A$9.B2A2B4.A.A3.A.A2.B
8.5B36.A.A$10.2A6.A.A2.A2.2A.2A9.B.B36.2A$19.A3.2A2.A.A9.3B$27.A.A9.B
2AB$28.A11.2A!

GUYTU6J
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Re: I'm looking for period multiplicating Herschel Tracks.

Post by GUYTU6J » February 15th, 2023, 12:44 am

Relaxing the clearance requirement a bit, no two-signal synchronization is needed at all; a syringe-plus-R49-catalyst combo as was in this post of mine suffices.

Code: Select all

x = 36, y = 27, rule = B3/S23
35bo$33b3o$25b2o5bo$18bo4b3obo4b2o$16b3o3bo4bo$15bo7b3obob2o$15b2o8bob
o2bo$2o26b2o$bo$bob2o$2bo2bo$3b2o9bo16bo$15b2ob2o11bo$14b2o2b2o9bobo6$
25b2o$21b2obobo$21b2obo$25bo$21b2ob2o$22bobo$10b2o10bobo$10b2o11bo!

Code: Select all

x = 90, y = 89, rule = B3/S23
83b2o$82bobo$83bo2$80bo$79bobo$81b2o$87b3o$87bobo$73b2o6bo5b3o$73b2o4b
2o6b3o$80bo2bo3b3o$55b2o11bo12b2o4b3o$55b2o10bobo17bobo$67bobo17b3o$
66b2ob2o$70bo$66b2obo$66b2obobo7bobo$70b2o$78bo2bo$78bo$78bobo$78bobo$
71bob2o4bo$63b2o6b4o$63b2o6bo3bo$48b2o22b3o$47bo2bo21b3o$46bob2o22bo$
15b2o11bo17bo$15b2o10bobo15b2o26b2o$27bobo2b2o3bo3bo18b2o8bobo2bo$26b
2ob2o2bo2bobo2b3o16bo7b3obob2o$30bobo3bobo5bo16b3o3bo4bo$26b2obo2b4obo
5b2o18bo4b3obo4b2o$26b2obobo3bo34b2o5bo$30bobo3bo41b3o$31bobo3bo42bo$
32bo3b2o3$27bobo$23b2o7b3o$23bobo4b2o2bo$8b2o18b4ob2o$7bo2bo19b3o$6bob
2o$6bo48b2o$5b2o48b2o$20b2o$20bo$21b3o$23bo10b2o$33bobo$33bo$32b2o6$
23b2o$23bo$21bobo$21b2o10bo$33b3o$36bo$35b2o$2o48b2o$2o48bo$47b2obo$
24b3o19bo2bo$22b2ob4o18b2o$22bo2b2o4bobo$22b3o7b2o$27bobo3$19b2o3bo$
19bo3bobo$20bo3bobo$21bo3bobob2o$19bob4o2bob2o$10b2o6bobo3bobo$10b2o6b
obo2bo2b2ob2o$19bo3b2o2bobo$27bobo10b2o$28bo11b2o!
Another possibility for the banana spark is to sabotage an xWSS with a functional dot sparker. See gun_315 (=lcm(45,21)) for an example.

Code: Select all

x = 30, y = 6, rule = B3/S23
2b2o10b2o11b2o$2ob2o6b3ob2o6b4ob2o$4o7b5o7b6o$b2o9b3o9b4o2$3bo10bo12bo
!

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