I'm looking for period multiplicating Herschel Tracks.

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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kiho park
Posts: 50
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!

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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:

Code: Select all

x = 334, y = 671, 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.D21BD12B$9.23BD
12B2.B$16.B.15B.11B.3B5.2A$22.B.21B.3B5.A$30.20B.BA.A$19.A.A8.20B.B2A
$19.2A.A4.25B$22.A4.25B$22.2A.27B5.B$24.28B4.2B$24.27B4.3B$24.26B4.4B
$25.25B3.4B$26.24B2.4B$29.20B2.4B$33.10B.4B2.4B$32.13B4.4B$31.15B2.4B
$30.16B.4B$29.21B$30.19B$31.17B$31.5B2A2B.6B$33.3B2A2B2.4B$26.B6.14B$
32.3B3D10B$32.4BD6B2.4B$32.2B3D5B4.4B$32.9B6.4B$21.2A9.8B8.4B$13.A6.B
2AB7.8B10.4B$13.3A5.3B6.10B10.4B$16.A3.B.B7.10B11.4B$15.2A2.6B6.8B7.
2A4.4B$15.10B4.11B5.B2AB4.4B$7.2A8.23B6.2B6.4B$8.A8.23B7.2B6.3B$8.A.A
B6.18B2D2B5.2B2AB6.2B$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$7.2B3C4B
2.6B5.7BD4B$6.5BC4B3.6B5.12B$5.10B6.4B7.5B2.2B2A$4.4B12.B2A2B7.3B4.BA
2BA$4.3B14.2A.B2A5.2AB5.BABA$2.4B18.BA.A3.A.AB5.2BA$2.2A23.A3.2AB$3.A
23.2A3.4B$3A31.2A$A33.A$35.3A$37.A!
Period triplers -- EDIT9: added simsim314's Spartan period tripler, EDIT10: and Kazyan's tremi-Snark:

Code: Select all

x = 260, y = 208, rule = LifeHistory
18.D4.D12.D4.D106.D4.D13.4D$18.D4.D12.D4.D106.D4.D12.D4.D54.4D14.4D$
18.D4.D12.D4.D106.D4.D12.D58.D4.D12.D4.D$18.D4.D6.D5.D4.D106.D4.D6.D
5.D58.D17.D$18.D4.D7.D4.D4.D106.D4.D7.D4.D58.D11.D5.D$18.6D3.6D3.6D
106.6D3.6D3.D2.3D53.D12.D4.D$18.D4.D7.D4.D4.D106.D4.D7.D4.D4.D53.D2.
3D3.6D3.D2.3D$18.D4.D6.D5.D4.D106.D4.D6.D5.D4.D53.D4.D7.D4.D4.D$18.D
4.D12.D4.D106.D4.D12.D4.D53.D4.D6.D5.D4.D$18.D4.D12.D4.D106.D4.D13.4D
54.D4.D12.D4.D$226.4D14.4D14$221.C$220.2BC$220.3CB$164.2D55.4B$164.DB
56.4B$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.A140.10B55.4B10.A6.4B$25.3A140.11B55.4B7.3A5.4B$24.A143.
12B55.4B5.A7.4B$24.2A141.5B2C6B56.4B4.2A5.4B$7.2A12.5B131.2A8.5B2C4B
59.9B4.4B$8.A11.4B134.A9.9B61.6B5.4B$8.A.AB7.6B133.A.AB5.10B61.8B2.4B
$9.2AB.3B3.7B133.2AB.3B.10B59.7BC7B$11.16B28.A105.17B58.5BCBC6B$11.
17B25.3A105.17B58.6B2C5B$12.9B2C6B23.A109.15B57.2AB.10B$11.10B2C6B23.
2A107.15B57.A.AB3.4BA2B$9.18B13.A8.5B105.17B57.A5.4BABA2B$7.7B2D10B
14.3A5.4B100.2B2.20B56.2A6.3BABA2B$7.2BD4B2D9B18.A3.7B97.8BD9B2D5B64.
4BAB$6.3BDBD8B2C4B16.2A2.9B96.8BDBD4B.BD2BD5B64.5B$7.2B3D4B2.2B2C3B
14.B2.3B.11B94.8B3D7B2D5B66.3B$6.5BD4B2.7B13.3B3.13B11.A82.10BD13B66.
5B$5.10B3.7B4.A8.18B2A10.3A80.24B65.B2AB2A$4.4B10.7B4.3A6.18B2A13.A
79.2B.4B5.4B.7B62.2A2.2A.AB2.2A$3.4B12.6B7.A4.18B.B13.2A81.4B5.4B3.4B
64.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.B4.4B66.2A6.4B5.4B
10.A66.4A.A$3A15.6B9.24B2.13B.4B64.B2AB4.4B5.4B12.3A63.A2.2A$A16.8B9.
50B58.3B3.4B5.4B15.A$18.6B8.B2.45BD4B56.B.B3.4B5.4B$18.7B5.48B3D4B55.
10B5.4B$16.45B2A15BDBD4BD52.11B5.4B$14.B.2B2A13B2A26B2A15BD5B2D51.11B
5.4B$13.2A3B2A13B2A21B.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$12.2A4.3B7.4B2.7B.13B4.B55.A.A12.22B$13.A4.B2AB12.6B2.13B3.2A
54.2A.2A10.6B2A14B$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.B
2AB.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$153.8B2C13B
2.B2A$153.23B4.A.2A$154.16B2C4B4.A2.A$154.10B2D3BCBC4B5.2A$154.10B2D
4BC5B$154.5BD15B$154.5BDBD4B.7B$154.5B3D4B2.6B2.B$154.7BD4B2.6B.B2A$
154.11B4.7B2A$154.4B2.2B6.6B.2B$153.4B12.5B$152.4B13.6B$151.4B14.6B$
150.4B15.5B$149.4B16.5B$148.4B18.3B$147.4B19.3B$146.4B21.B$145.4B$
145.DB56.B2D$145.2D56.2BD$201.3B$200.4B$199.4B$198.4B$197.4B$196.4B$
195.4B$171.2A21.4B$162.2A6.B2AB5.A13.4B$163.A7.3B5.3A10.4B$163.A.AB3.
B.B9.A8.4B$164.2AB2.6B6.2A7.4B$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$150.9B3D4B2.6B$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$148.11BABA9B$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:

Code: Select all

x = 339, y = 143, 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.6B16.13B7.7B$30.4BD2B149.3B3C4B2.B.5B13.14B7.6B$30.2B3D2B
149.5BC4B7.2A13.14B7.5B$31.6B148.10B8.A15.12B7.6B$31.7B146.4B16.3A11.
9B11.4B$31.8B145.3B19.A11.4B.3B12.2B2AB$32.8B142.4B30.2AB21.2A$32.9B
141.2A31.A.AB$31.6B.2B2A141.A31.A$31.7B.BA.A137.3A31.2A$32.6B2.B.A
137.A$32.6B4.2A$32.6B$31.8B$30.8B$30.9B$30.9B$29.10B$29.3B2A5B$23.2A
3.4B2A5B$24.A3.11B$24.A.A12B$19.2A4.2A2.8B$.2A17.A9.7B4.2A$2.A17.A.AB
7.6B4.A165.2A25.2A$.A19.2AB.3B3.6B.BA.A165.A.A24.A.A$.2A20.14B.B2A
156.A11.A25.AB4.2A$2.B20.16B158.3A9.2A23.2B5.A$2.3B17.16B162.A9.B23.
3B.BA.A$.6B13.19B148.2A10.2A9.3B19.5B.B2A$10B10.19B149.A10.5B5.6B16.
8B$11B3.2B2.20B150.A.AB9.4B3.10B10.12B$D3B2A15BC7B2D6B152.2AB.3B4.6B
2.11B3.17B$2D2B2A15BCBC5B2D5B155.7B.13B2A15BD8B$B2D18B3C7B2D3B155.21B
2A15BDBD6B$2D13B.7BC7B2D2B157.37B3D5B$31B.5B154.40BD4B$B.13B.14B5.2A
152.46B$9B.B4.3B2D8B7.A150.19B.B3.18B$14.4B2D8B8.3A146.4BC13B7.7B.B4.
4B$13.4B.9B11.A146.4BCBC4B.6B19.4B$12.2BEB.7B.B159.4B3C4B2.B.5B16.4B$
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.A159.4B30.4B$3.3D
3.D3.3D5.A160.2A31.4B$3.D4.D6.D5.2A160.A30.4B$3.3D.D7.D164.3A30.4B$
180.A31.4B$211.4B$210.4B$209.4B$208.4B$207.4B!
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!

MikeP
Posts: 81
Joined: February 7th, 2010, 9:51 am
Location: Cambridge, UK

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!

User avatar
Tropylium
Posts: 406
Joined: May 31st, 2011, 7:12 pm
Location: Finland

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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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)

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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!

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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.

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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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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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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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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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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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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: 369
Joined: March 11th, 2015, 12:03 pm
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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