For discussion of other cellular automata.
A for awesome
Posts: 1901
Joined: September 13th, 2014, 5:36 pm
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Pi-to-H+G converter in LifeHistory:

Code: Select all

x = 98, y = 104, rule = LifeHistory
63.B7.B$62.B2D4.4B$62.DBD10B$60.2B2D13B$56.2B.19B$54.25B$51.8B.19B$50.29B$50.30B$50.32B$50.33B$50.34B$50.22B2D11B$50.22B2D12B$50.32B.4B$50.10B.21B2.4B$50.8B4.19B4.4B$50.6B4.20B6.4B$51.4B4.12B.6B9.4B$59.12B 4.3B10.4B$59.9B2DB18.4B$59.8B.2D20.4B$59.7B25.4B$59.7B26.4B$59.6B28.
4B$58.7B29.BDBD$57.8B30.B2D$56.8B32.D$55.9B$54.4B.6B$53.4B.7B$52.4B2. 6B$51.4B3.6B$50.4B5.B2D2B$49.4B5.2B2D2B$48.4B6.6B3.4B$47.4B6.15B$45. 5B3.B.F17B$45.5B.F22B$46.19BF8BF$46.F28B$47.22B3C4B.F$46.23BCBC5B$45. F23BCBC5B$46.31B$47.30B$49.F27B$50.22B3.B$51.19B$52.10BF2B$52.10B$51. 11B$50.4B2.7B$49.4B3.6B$48.4B5.4B$47.4B8.F$46.4B$45.4B$44.4B$43.4B$
42.4B$41.4B$40.4B$39.4B$38.4B$37.4B$36.4B$35.4B$34.4B$33.4B$32.4B$31. 4B$30.4B$29.4B$28.4B$27.4B$26.4B$25.4B$24.4B$23.4B$22.4B$21.4B$20.4B$19.4B$18.4B$17.4B$16.4B$15.4B$14.4B$13.4B$12.4B$11.4B$10.4B$9.4B$8.4B
2o$3bo2bo$3o4b3o$o8bo!  x₁=ηx V ⃰_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt) $$x_1=\eta x$$ $$V^*_\eta=c^2\sqrt{\Lambda\eta}$$ $$K=\frac{\Lambda u^2}2$$ $$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$ http://conwaylife.com/wiki/A_for_all Aidan F. Pierce glider_rider Posts: 88 Joined: February 20th, 2013, 5:41 pm Location: CA ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL Some c/7 spaceships in Diamoeba. Code: Select all x = 545, y = 213, rule = B35678/S5678 538b2o$538b2o$536b6o$536b6o$534b10o$536b6o$535b8o$536b6o$538b2o$536bob
2obo2$536bo4bo$536b6o$534b4o2b4o$535b8o$534b4o2b4o$535b8o$533b5o2b5o$
535b8o$514b2o17b5o2b5o$514b2o19b8o$512b6o16b4o2b4o$513b4o18b8o$511b8o 15b4o2b4o$514b2o19b8o$511b3o2b3o15b4o2b4o$535b8o$510b3o4b3o13b5o2b5o$
535b8o$511b3o2b3o16b3o2b3o$489b2o20b3o2b3o15b10o$487bo4bo17b10o14b3o4b 3o$486b8o16b3o4b3o13bob2o4b2obo$485b4o2b4o14bob3o2b3obo13b2obo2bob2o$
485b10o15b2o6b2o16b6o$485b3o4b3o17b2o2b2o16b3o4b3o$484bob3o2b3obo14b4o
2b4o15b3o2b3o$485b2o6b2o16b3o2b3o17bob2obo$487b2o2b2o21b2o21bo2bo$485b 4o2b4o17bob2obo19b4o$486b3o2b3o20b2o21b4o$489b2o23b2o22b2o$487bob2obo
20b4o21b2o$489b2o23b2o20b6o$489b2o22b4o21b2o$488b4o22b2o21b4o$489b2o
21b6o20b2o$488b4o22b2o20b6o$489b2o22b4o21b2o$487b6o21b2o21b4o$489b2o
22b4o21b2o$464bo8bo14b4o22b2o20b6o$489b2o22b4o21b2o$463b2obo4bob2o13b 4o22b2o21b4o$466bo4bo17b2o21b6o20b2o$463b5o2b5o13b4o22b2o20b6o$465b3o
2b3o16b2o22b4o21b2o$463b12o12b6o21b2o21b4o$465b3o2b3o16b2o22b4o21b2o$464b10o14b4o21b4o20b4o$489b2o21b6o19b4o$488b4o20b6o17b8o$445b2o41b4o
19b8o17b6o$445b2o20b4o16b6o19b6o16b10o$443b6o19b2o17b6o17b10o16b6o$443b6o17b6o14b8o18b6o17b8o$441b10o16b4o16b6o17b10o16b6o$443b6o16b8o12b 10o17b6o16b10o$441b10o15b6o15b6o17b10o16b6o$443b6o15b10o11b10o17b6o16b 10o$442b8o16b6o15b6o18b8o17b6o$443b6o16b8o12b10o17b6o16b10o$442b8o16b
6o15b6o18b8o17b6o$443b6o16b8o13b8o18b6o16b10o$442b8o16b6o15b6o17b10o
16b6o$443b6o15b10o12b8o18b6o17b8o$442b8o16b6o15b6o17b10o15b8o$443b6o 15b10o11b10o16b8o15b10o$441b10o15b6o15b6o17b10o15b8o$443b6o15b10o11b 10o16b8o14b12o$441b10o14b8o13b8o16b10o15b8o$443b6o14b12o10b10o16b8o14b 12o$441b10o14b8o13b8o15b12o14b8o$442b8o14b10o11b10o16b8o16b8o$441b10o
14b8o13b8o17b8o15b10o$442b8o15b8o11b12o14b10o15b8o$441b10o13b10o12b8o
17b8o14b12o$441b10o14b8o13b8o15b12o14b8o$443bo4bo15b10o11b10o16b8o15b
10o$443b2o2b2o16b8o13b8o15b12o14b8o$463b12o9b12o15b8o15b10o$444bo2bo 17b8o13b8o15b12o14b8o$444b4o16b10o10b12o15b8o15b10o$444b4o17b8o13b8o 17b8o17b6o$444b4o16b10o10b12o16b6o17b8o$443b6o16b8o13b8o17b8o17b6o$
444b4o16b10o12b8o18b6o17b8o$424b2o16b8o16b6o15b6o18b8o17b6o$424b2o18b
4o18b6o14b8o19b4o19b6o$422b6o14b8o17b4o16b6o19b6o19b4o$422b6o16b4o18b
6o14b8o19b4o19b6o$420b10o13b6o18b4o17b4o19b8o18b4o$421b8o15b4o18b6o15b
6o20b4o19b6o$422b6o15b6o18b4o17b4o20b6o19b4o$420b10o14b4o18b6o14b8o19b
4o19b6o$424b2o16b8o17b4o17b4o19b8o18b4o$421b8o15b4o17b8o14b6o20b4o18b
8o$442b8o17b4o17b4o20b6o19b4o$422b6o16b4o17b8o13b8o19b4o18b8o$404b2o 37b6o18b4o17b4o20b6o18b6o$402bo4bo12bobo4bobo14b4o17b8o14b6o19b6o16b
10o$401b8o34b6o17b6o16b4o18b10o16b6o$355bo8bo35b4o2b4o10b4o2b4o13b6o
16b8o14b6o19b6o17b8o$378b4o18b10o13b4o15b8o16b6o15b6o18b8o17b6o$354b2o
bo4bob2o8b4o4b4o14b3o4b3o11b8o14b6o16b8o12b10o17b6o16b10o$357bo4bo11b 12o13bob3o2b3obo12b4o14b10o15b6o15b6o17b10o16b6o$354b5o2b5o10b2o4b2o
16b2o6b2o11bobo2bobo14b6o15b10o12b8o18b6o18b6o$356b3o2b3o10b12o16b2o2b 2o14bob2obo13b10o15b6o15b6o19b6o19b4o$354b12o10b2o4b2o16b4o2b4o9b4o4b
4o12b6o17b6o13b10o18b4o18b8o$356b3o2b3o10b12o15b3o2b3o12b8o13b8o17b4o 16b6o16bob8obo16b4o$336b2o17b10o11b2o4b2o20b2o14b4o2b4o14b4o16b10o13b
6o20b4o17b10o$336b2o18b3o2b3o11b10o17bob2obo12b10o11bob6obo16b4o17b4o 17b12o17b2o$334b6o15b10o11b2o4b2o20b2o14b4o2b4o14b4o15b12o9bob8obo18b
2o17b4o4b4o$314b2o19b4o17b3o2b3o11b10o19b2o13b12o9b12o15b4o17b4o18b3o 4b3o17bo2bo$333b8o15b8o12b2o4b2o19b4o12b5o2b5o13b4o15b4o4b4o9b12o17b4o
$311bob4obo16b4o17b3o2b3o11b10o19b2o16b6o13b4o2b4o17b2o19b2o20b3o2b3o 19b2o$334b6o18b4o14b2o4b2o19b4o12b5o2b5o13bo2bo17b3o2b3o12b3o4b3o19b2o
20b2o2b2o$309bob8obo14b4o16bo2bo2bo2bo10b10o18b4o17b2o16b2o4b2o18b2o 18b4o$310b2o6b2o14b6o36b2o4b2o19b4o14bo6bo16b2o19bo4bo14b3o2b3o20b2o
21bo2bo$310b10o16b2o19b6o11b12o15bo6bo34bo4bo19b2o19b2o22b4o$309b4o4b
4o14b4o17bo6bo12b2o4b2o20b2o16b6o16b4o18b2o2b2o64b6o$311b8o17b2o19b6o 11b12o14b2o6b2o11b3o2b3o60b2o20b8o18b4o$311b2o4b2o36b4o2b4o11b2o4b2o
19b4o14b8o37b2o2b2o16b4o21b4o19b6o$312b6o16b6o16b8o10b12o15b2o4b2o10b 5o2b5o12b6o18b4o40b8o18b4o$273b2o17bob2obo12b3o4b3o13bo6bo13b5o2b5o10b
2o4b2o17b8o12b8o16b2o18b8o13b8o19b4o18b8o$273b2o15b2o6b2o12b6o15b8o15b 8o10b12o13b4o4b4o9b4o2b4o12b8o17b4o17b4o21b4o20b4o$271b6o14b8o12b2o4b
2o13b3o4b3o12b5o2b5o10b2o4b2o17b8o12b8o15b4o17b8o13b8o19b4o20b4o$248b 2o6b2o14b4o13b4o4b4o11b6o14b10o14b8o12b8o16b3o4b3o9b5o2b5o12b6o18b4o 17b4o21b4o19b6o$248b3o4b3o13b6o12b12o9b3o4b3o13b2o4b2o14b4o2b4o11b2o4b
2o17b8o13b6o16b4o19b4o17b4o20b6o18b6o$248b10o14b4o15b2o4b2o13b6o15b8o 17b4o14b8o15b4o4b4o11b2o2b2o16b4o18b6o16b4o20b6o20b2o$248b3o4b3o12b8o
13b8o11b3o4b3o12b3o4b3o15b2o2b2o12b3o4b3o16b8o14b4o16b6o17b6o16b4o44b
6o$249b8o15b4o14b3o4b3o11b8o14b8o17b4o14b8o16b3o4b3o12b2o2b2o16b4o20b 2o17b6o19b6o$226bo8bo11b4o4b4o12b6o14b8o10b4o4b4o11b3o4b3o15b2o2b2o11b
4o4b4o15b8o14b4o18b2o20b4o16b6o45b2o$249b8o15b4o13b4o4b4o10b8o14b8o17b 4o14b8o16b3o4b3o12b2o2b2o15b6o64b4o18bo6bo$225b2obo4bob2o11b3o4b3o13b
6o14b8o11b3o4b3o11b4o4b4o13b3o2b3o10b4o4b4o15b8o14b4o41b2o17b6o18bo6bo
16bob4obo$228bo4bo15b8o16b2o14b4o4b4o10b8o14b8o17b4o14b8o16b3o4b3o11b 3o2b3o15b4o61b3ob4ob3o13b4o2b4o$225b5o2b5o11b3o4b3o33b8o11b3o4b3o12b3o
4b3o14b3o2b3o11b3o4b3o16b8o14b4o39b6o16b4o18b4o2b4o14b10o$227b3o2b3o 14b8o16b2o14b4o4b4o10b8o14b8o17b4o14b8o16b3o4b3o12b2o2b2o13bo3b2o3bo 14b3o2b3o13bo6bo16b10o14b4o2b4o$187b2o36b12o11b3o4b3o12bo6bo13b8o11b3o
4b3o12b3o4b3o14b3o2b3o11b3o4b3o16b8o13b6o14b2o4b2o14b10o10b3ob4ob3o14b
4o2b4o14b10o$227b3o2b3o14b8o14b6o12b4o4b4o10b8o14b8o16b6o13b8o16b3o4b 3o10b4o2b4o10b12o12b4o2b4o11b4o2b4o15b10o13b5o2b5o$184bob4obo12bob2obo
16b10o12b3o4b3o11b3o4b3o12b8o11b3o4b3o12b3o4b3o14b3o2b3o10b4o4b4o15b8o
13b6o13b4o2b4o13b10o11b10o14b5o2b5o14b8o$202b2o6b2o37b8o13b8o11b4o4b4o 10b8o14b8o16b6o13b8o15b4o4b4o9b4o2b4o11b10o12b5o2b5o10b4o2b4o16b8o16b 3o2b3o$182bob8obo9b8o37b3o4b3o10b4o4b4o11b8o11b3o4b3o11b4o4b4o13b3o2b
3o10b4o4b4o15b8o13b6o12b5o2b5o13b8o12b10o16b3o2b3o17b6o$183b2o6b2o8b4o 4b4o36b8o13b8o11b4o4b4o10b8o14b8o16b6o13b8o16b3o4b3o10b4o2b4o12b8o15b 3o2b3o11b5o2b5o16b6o16b4o2b4o$166bo4bo11b10o10b8o18b4o14b4o4b4o9b4o4b
4o11b8o10b4o4b4o11b3o4b3o13b4o2b4o10b3o4b3o16b8o13b6o13b4o2b4o15b6o14b
8o16b4o2b4o16b6o$166bo4bo10b4o4b4o8b3o4b3o18b2o17b8o13b8o11b4o4b4o10b 8o14b8o16b6o13b8o15b4o4b4o10b3o2b3o14b6o16b3o2b3o13b3o2b3o18b6o17b3o2b 3o$163b12o9b8o11b8o17b6o14b3o4b3o10b4o4b4o11b8o11b3o4b3o12b3o4b3o13b4o
2b4o10b3o4b3o16b8o13b6o13b4o2b4o15b6o15b6o17b4o2b4o16b6o$163b5o2b5o7b 4o4b4o8b3o4b3o17b4o16b8o13b8o12b3o4b3o11b8o14b8o16b6o13b8o16b3o4b3o10b 4o2b4o13b6o15b4o2b4o11b4o2b4o17b6o17b3o2b3o$165b8o11b8o11b8o16b8o12b4o
4b4o9b4o4b4o11b8o10b4o4b4o11b3o4b3o13b4o2b4o10b3o4b3o16b8o13b6o14b3o2b
3o16b6o15b6o17b4o2b4o16b6o$143bo8bo12b3o2b3o10b3o4b3o9b3o4b3o16b6o15b 8o13b8o11b4o4b4o10b8o14b8o16b6o13b8o15b4o4b4o10b3o2b3o14b6o16b3o2b3o 12b4o2b4o17b6o17b3o2b3o$166b6o12b8o11b8o15b10o12b3o4b3o10b4o4b4o11b8o
11b3o4b3o12b3o4b3o14b3o2b3o10b4o4b4o15b8o13b6o13b4o2b4o15b6o15b6o17b4o
2b4o16b6o$111b2o16b2o11b2obo4bob2o11b3o2b3o10b3o4b3o9b3o4b3o16b6o15b8o 13b8o11b4o4b4o10b8o14b8o16b6o13b8o15b4o4b4o10b3o2b3o14b6o16b3o2b3o12b 4o2b4o17b6o17b3o2b3o$109bo4bo14b2o14bo4bo15b6o12b8o11b8o16b8o12b4o4b4o
10b3o4b3o12b8o10b4o4b4o10b4o4b4o13b3o2b3o10b4o4b4o15b8o13b6o14b3o2b3o
16b6o15b6o17b4o2b4o16b6o$108b8o11b6o9b5o2b5o10b4o2b4o8b4o4b4o7b4o4b4o 15b6o15b8o13b8o11b4o4b4o10b8o14b8o16b6o13b8o15b4o4b4o10b3o2b3o14b6o16b 3o2b3o12b4o2b4o17b6o17b3o2b3o$107b4o2b4o10b6o11b3o2b3o14b6o12b8o11b8o
16b8o12b4o4b4o10b3o4b3o12b8o10b4o4b4o11b3o4b3o14b3o2b3o11b3o4b3o15b10o
12b6o13b4o2b4o15b6o15b6o17b4o2b4o16b6o$107b10o8b10o7b12o11b3o2b3o10b3o 4b3o9b3o4b3o17b4o16b8o12b10o11b3o4b3o11b8o14b8o16b6o13b8o17b2o4b2o12b 3o2b3o14b6o15b4o2b4o11b4o2b4o17b6o16b4o2b4o$107b3o4b3o10b6o11b3o2b3o
14b6o11b10o10b8o18b4o14b4o4b4o9b4o4b4o10b10o9b4o4b4o11b3o4b3o14b3o2b3o
10b4o4b4o13b2obo4bob2o11b6o14b3o2b3o16b6o15b6o17b4o2b4o16b6o$106bob3o 2b3obo7b10o8b10o12b3o2b3o10b3o4b3o9b3o4b3o18b2o16b10o10b12o9b4o4b4o9b 10o12b10o15b6o12b10o15bo8bo11b3o2b3o14b6o16b3o2b3o12b4o2b4o17b6o17b3o 2b3o$107b2o6b2o10b6o12b2o2b2o15b6o10b12o8b10o15b8o14b2o4b2o13bo6bo12b
10o11b2o4b2o13b3o4b3o13b4o2b4o11b2o4b2o15b2o8b2o11b6o13b4o2b4o15b6o15b
6o18b3o2b3o17b6o$109b2o2b2o11b8o10b8o13b3o2b3o13bo2bo12b3o4b3o18b2o15b 2obo4bob2o9bo10bo10b3o4b3o9b2obo4bob2o10b2o2b4o2b2o14b6o11bobo2b2o2bob o14b3o4b3o10b4o2b4o13b6o16b3o2b3o12b4o2b4o17b6o16b4o2b4o$107b4o2b4o11b
4o13b2o2b2o15b6o10bobo6bobo7b2o2b4o2b2o14b8o13bo8bo12bo6bo11bobo2b2o2b
obo9bo8bo12bo8bo13b4o2b4o34b4o4b4o11b6o14b3o2b3o16b6o15b6o17b4o2b4o16b
6o$89bo4bo13b3o2b3o11b2o2b2o10b10o11b4o2b4o10b2o4b2o10bo8bo18b2o15b2o 8b2o9b3o6b3o12bo4bo11b2o8b2o10b2o8b2o14b6o11b2obo4bob2o14b4o2b4o11b3o 2b3o14b6o16b3o2b3o13b3o2b3o18b6o17b3o2b3o$89bo4bo16b2o32b2o2b2o15b6o
10b3obo2bob3o7b2o8b2o15b6o14b3o4b3o11b3o4b3o10b2o8b2o9b3o4b3o12b2o6b2o
13b4o2b4o10b3o4b3o14b3o2b2o2b3o11b6o14b3o2b3o16b6o15b6o17b4o2b4o16b6o$86b12o11bob2obo11b3o2b3o9b10o12b3o2b3o10b4o2b4o9b2o6b2o18b2o15b4o4b4o 9b4ob2ob4o10b3o4b3o9b4o4b4o10b3obo2bob3o14b6o11b4o4b4o16b2o2b2o12b4o2b 4o13b6o16b3o2b3o12b4o2b4o17b6o18b2o2b2o$86b5o2b5o13b2o13bo6bo11b2o2b2o
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7b10o9b4o14b4o16b4o12b3o2b3o10b8o14bob2obo14b4o14b6o19b4o19b2o18b4o17b
4o17b2o20b2o19b6o15b4o18bob6obo11b8o14b6o16bob4obo13b8o19bo2bo$5b2o15b 2o14bo4bo26b8o12b4o16b4o12b8o52b4o16b2o19b8o15b6o15b6o16b4o15b6o16b6o 15bob6obo11b8o18b6o13b8o13b8o16bo4bo15b6o$4b4o12b6o12bob2obo12b4o12b4o
13b6o13b8o30b4o16b6o12b8o12b6o18b6o16b6o15b6o15b6o14b6o17b4o18b6o14b6o
20bo2bo14bob4obo14bob2obo37bob4obo$4b4o14b2o33b2o12b6o12b6o13b8o11b6o 13b4o17b4o13b8o13b4o18b8o13bob6obo12bob4obo14b6o12bob6obo13b8o17bo2bo 14b8o40b2o19b2o41bo2bo$3b6o11b6o12b6o12b4o12b4o13b6o13bob4obo13b2o14b
6o15b6o12bob4obo11b8o17bob2obo16b6o15bo4bo15b6o14b6o16b6o37bob2obo$4b 4o12b6o13b4o13b4o10b8o11b6o16b2o14b6o12b6o15b6o15b2o15b6o20b2o19bo2bo 37b6o15bo2bo18b4o40b2o$2b8o9b8o11b6o10b8o9b6o12bo4bo32b6o12b6o14bob4ob
o32b4o83bo4bo$3b6o11b6o12b6o10b8o10b4o50b8o11b6o15bo4bo$4b4o11bob4obo
10bob4obo9bob4obo65b6o12bo4bo$21bo2bo13bo4bo13b2o67bob4obo$128bo2bo!

Nico Brown

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

A small 2c/205 spaceship in a Generations rule.

Code: Select all

x = 3, y = 4, rule = 2378/34/3
3A$2BA$2BA$3A! Freywa Posts: 589 Joined: June 23rd, 2011, 3:20 am Location: Singapore Contact: ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL Tropylium wrote: Code: Select all x = 3, y = 4, rule = 2378/34/3 3A$2BA$2BA$3A!
It feels like the large-spark version of the twin bee shuttle, only moving. Unfortunately it's probably the only gem in the very class-3-ish rule.
Princess of Science, Parcly Taxel

wildmyron
Posts: 1274
Joined: August 9th, 2013, 12:45 am

Adding an extra history state results in a very different behaviour.

Code: Select all

x = 71, y = 64, rule = 2378/34/4
33.3A$32.2AC2A$31.2ACAC2A$32.BAB2.2A$37.C2A$36.BACA$36.AC2A$36.B2A$
37.A12$.A35.3A$A.A35.BA$.A34.CA.BA$36.A.BA$36.C2BA$37.2A14$36.CB$38.
2A$35.C2.BA$36.CA.BA$38.BA$35.B2.2A$34.A2CA$34.3A$35.A13$.5A$A2.3BA2. 2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A$A2.3BA
2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A$.5A! The further addition of B5 gives B345/S2378/C4, a rule with a knightship explored here. The latest version of the 5S Project contains over 221,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki. Lewis Posts: 320 Joined: March 17th, 2009, 5:26 pm Location: UK Contact: ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL Unusual natural P32 oscillator in B3/S2456: Code: Select all x = 8, y = 5, rule = B3/S2456 5bo$4bobo$o2bo3bo$ob3obo$bo3bo! A for awesome Posts: 1901 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 Contact: ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL 3-cell, 431-gen methuselah in Life On The Slope: Code: Select all x = 3, y = 3, rule = LifeOnTheSlope B$.B$2.B!  x₁=ηx V ⃰_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt) $$x_1=\eta x$$ $$V^*_\eta=c^2\sqrt{\Lambda\eta}$$ $$K=\frac{\Lambda u^2}2$$ $$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$ http://conwaylife.com/wiki/A_for_all Aidan F. Pierce velcrorex Posts: 339 Joined: November 1st, 2009, 1:33 pm ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL Smallish p64 oscillator in B35/S238 Code: Select all x = 26, y = 20, rule = B35/S238 4$11bo4bo$11bo4bo$10bob4obo2$9b3o4b3o$9b3o4b3o2$10bob4obo$11bo4bo$11bo 4bo! -Josh Ball. strake Posts: 26 Joined: October 8th, 2014, 7:47 am Location: Mountain View, California Contact: ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL Common speed-8/22 orthogonal ship in B3/S23/C7: Code: Select all x = 9, y = 7, rule = 23/3/7 .2A3.2A$2A2F.2F2A$.ACBFBCA$2.ACDCA$3.3A$4.A!

Common p32 spinning oscillator in B3/S23/C8:

Code: Select all

x = 6, y = 7, rule = 23/3/8
4.D$2.BCFE$.AC2F$A2C$.ACFA$2.3A$3.A!


gameoflifeboy
Posts: 474
Joined: January 15th, 2015, 2:08 am

Speaking of P32 spinning oscillators, I found this one yesterday in DryLife. Has it been seen before?

Code: Select all

x = 5, y = 5, rule = B37/S23
2bo$bob2o$2ob2o$3b2o$o!


gameoflifeboy
Posts: 474
Joined: January 15th, 2015, 2:08 am

Quadratically growing puffer in LifeOnTheEdge. The puffer can be widened indefinitely, but this length gives obvious quadratic (but chaotic) growth.

Code: Select all

x = 8, y = 1, rule = LifeOnTheEdge
B6AC!


Dets65
Posts: 23
Joined: May 7th, 2013, 8:20 am

A puffer that I found in a rule that is a derivative of a "nearly exploding" rule I saw here on the forums.
It's extremely common, but since the rule is just barely exploding (the chaos looks a lot like life soup before it stabilizes) I can't find anything else of note immediately, because there is no ash to find still lifes/oscillators

Code: Select all

x = 24, y = 19, rule = B356/S23
$20bo$19bobo2$18bo3bo$17bo5bo$18bobobo3$3bo$2bobo$5bo$bo2bo5b2o$3obo3b
o3bo$b2o4bo3bobo$10bo2bo$11b2o$7bo3bo$9b2o!  velcrorex Posts: 339 Joined: November 1st, 2009, 1:33 pm ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL @Dets65 That puffer is used in this spaceship. -Josh Ball. Dets65 Posts: 23 Joined: May 7th, 2013, 8:20 am ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL velcrorex wrote:@Dets65 That puffer is used in this spaceship. Oh, woops. Sorry! I don't know how you can instantly pool this information, but hey. It's the only thing I found on that rule (and honestly, since I have other projects, I couldn't be bothered to find more). It is amazingly common. Not very often you see non-exploding life-like rules have a puffer as the most common spaceship. A for awesome Posts: 1901 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 Contact: ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL Dets65 wrote:Not very often you see non-exploding life-like rules have a puffer as the most common spaceship. In B3/0135, these two puffers are the top 2 most common moving objects: Code: Select all x = 20, y = 11, rule = B3/S0135 3bo13bo$2b3o11b3o$2bobo11bobo$bo3bo9bo$2bobo10bo$bo3bo2$o5bo12bo3$o5bo
8bo!

x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

Dets65
Posts: 23
Joined: May 7th, 2013, 8:20 am

I found this strangely complex (and natural) puffer in a star wars variant I'm working on.

Code: Select all

x = 252, y = 60, rule = 34/24/4
9$10.AB$9.BC.C$8.AC9.A.A$8.B10.AB2A$9.C8.A2BAC2.BC.ABC.ABC.ABC.ABC.AB C.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC .ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC. ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.A$19.2A.C
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BC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.A$12.B 2A13.2A$12.C3B3.C2.CB4.BA$14.2ABC2.C.C4.C.CB$11.CB2.A2.CB10.3A$13.CB 11.C3A.BA$14.C8.BC.C2BA.2C$20.C.A.C.2ACAB3C2A$23.BA.C.B.A.2C3A157.CBA
$21.AC2ABC.C3.2C3A159.CBA$17.C3.2B9.AB162.CBA$16.B.C2.CA3.AC3.A2B2A 157.BC.A$16.AC2.B5.2B2CAB2.AC13.ABC13.ABC13.ABC13.ABC13.ABC13.ABC13.A
BC13.ABC13.ABC9.C2.A.CBA$11.B5.B2C7.A2C3ABC13.ABC13.ABC13.ABC13.ABC 13.ABC13.ABC13.ABC13.ABC13.ABC6.B6.A2B2.BC.ABC.ABC.ABC.ABC.ABC.ABC.AB C.A$10.C.C4.AB9.5AC13.ABC13.ABC13.ABC13.ABC13.ABC13.ABC13.ABC13.ABC
13.ABC7.2C4.ABC2.BC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.AB2A$18.2A7.5ABC13.AB C13.ABC13.ABC13.ABC13.ABC13.ABC13.ABC13.ABC13.ABC13.ABC.ABC.ABC.ABC.A BC.ABC.ABC.ABC.ABC.AB2A$19.B8.2A2.ABC13.ABC13.ABC13.ABC13.ABC13.ABC
13.ABC13.ABC13.ABC13.ABC7.C5.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.A$18.C.C2$18.ACA$18.2BCB$19.A2C$20.2AB$19.3A$11.B8.2A$10.CAC$9.B.BA.B$
7.C2.CA.AC$11.A2BA$9.ABC2A.C.BC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.A
BC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.AB
C.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC
.ABC.ABC.ABC.ABC.A$7.ABC.A.C2.AC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC. ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.A BC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.AB C.ABC.ABC.ABC.ABC.AB2A$7.ABC2.BC2.BC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.
ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.A
BC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.AB
C.ABC.ABC.ABC.ABC.ABC.AB2A$8.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC. ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.A BC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.ABC.AB C.ABC.ABC.ABC.ABC.ABC.ABC.A!  I also found this still life puffer in another rule I made. Pretty simple, might have already been found in another rule. Code: Select all x = 6, y = 9, rule = 045/2/4 2.CBA$2.CBA2$.2A$.2BA$.A.CBA$3.CBA$.CBA$CBA!


Gustavo6046
Posts: 646
Joined: December 7th, 2013, 6:26 pm
Location: South of Brazil.

A for awesome wrote:
Dets65 wrote:Not very often you see non-exploding life-like rules have a puffer as the most common spaceship.
In B3/0135, these two puffers are the top 2 most common moving objects:

Code: Select all

x = 20, y = 11, rule = B3/S0135
3bo13bo$2b3o11b3o$2bobo11bobo$bo3bo9bo$2bobo10bo$bo3bo2$o5bo12bo3$o5bo 8bo!  Well they're the top 2 most common moving objects because they are probably very rare (and the other moving objects even rarer) in that rule (I named it Puffer Kingdom so I can access it everytime in Golly when I want), so I went messing in Golly (that what you call "soup search", more like "soup mess") and the result was: Code: Select all #CXRLE Pos=-113,-76 Gen=769700 x = 145, y = 110, rule = B3/S0135 49bo$54bob2o$35bo15bo2$29bo16b2o11bo7bo3bo$35bo3bo$31bo30bo2$40bo4bo 18bo24bo$41bo6bo28bo10b2o$49bo2bo34bobo$71b2o14bo$52bo$40bo7bo31bo10b
2o$35bo3bo52bo$34bobo11bo39b2obo$34b2o4bo49bob2o$30bo2b2obo18bo28b2obo
$28bo8bo41bo8bo2bo$35b3o49bob3o$36b2o13bo2bo2bo30bob2o$36bo8b3o7bobo
28b2ob2o$28bo6bo9bo3bo37bo$30b2o2b3ob2o7bo3bo3b2o29bo5bo2bo$27b2o4b2ob 2o2bo2bo3b2o8bo26b2o6bo4bo$24b2o3b5o9b2obo9bo28bo$24bo3bobo3bob3o4b2o 7bobo2bo25b2o3b2o2bo$25bob2o2bo2bo2bo5bo2bo5bo2b2o27bo3b2ob3o$26bo3bo 3bo3bo4b2o3b2obobobo3bo25bo7b2o$22b3o3b2o4bo3bo4bo8b3o4bo29bobobo$28b 2o3b2o2b2o7b2o2b4o34b2o$24bob3o3bo2bo11bo2b3o6bo28bob2o2bo$28b2o4bo4bo 7bo4b2o30bo5bo4bo$26bo2bo16bo5b2o29bo5bob2ob2o$30b2o9bo8b2obo35bo3bo$
26bobob2o9bo48bo$49b2o5b3o22bo6bo2bo$38bo2bo3bo6bo14bo20b2o2bo$51b4ob 3o5bo24bo5bo$38bo3bo11bo2b3o29bo2b2o$47b2obo3bobob2o24bobo$29bo17b4ob
3o3b2ob2o24b2obo$34bo12b2obobo2b5o2bo24bo$36bo10bo7bobob3o27bob2o$46bo 3bo2b2o2bo4bo26b3o4bobo13bo$37bo11bo3bo4bo2b2o28bo7bo4bo6bo$29bo8bo14b 3o21bo8b2obo4bo6bo8bo$29b2o6bo8b2ob3ob2o2b4o14bo13bo18b2o$30bo7bo7b2o 7bobo4bo18bo8bo6bo10bo6bo$47bo3bobo7b2o18bo7b2o12bo11bob2o$20b3o14bo5b 7obobo3b3obo5bo13bo3bo5bo10b4o4b2obobo2b2o$20b2o21b2ob5o3b2o4bo6bo12bo
bo21b2o8b2o2b2o$19bo2b2o2b2o15bob3obo4b2obo18bo4bo8bo6bo7b2o3bobobob2o bo$16bob4o2b2o7bo15bo8bo22bo6bob2o5bo4bobo2b3o4b2ob2o4bo$18bo8bo18bob 2o7b2o16bo16bo4b3ob2o2b4o3b3o2b2o3bo$8bo5bo3bobo9b2o26bo36b3ob2ob2o3bo
b2o4bobo8bo5bo$16b2obo4b2o4b2o62b3o3bobo5bobo2b2o15b2o$17bo2bo5bo15bo
21bo2bo20bo5bo6bo2b2o6bobo$20bobo2b2o7bo16bo5b2o12bo16bo8bo2bob3ob2o3b o2bo$18b2o6bo7bo27bo14bo20bo2b2o4bo24b2o$10bo5bobo42bo9bo29b4obo$16b2o
22bo7bo53bo5bo$7bo20bo35bo38b2o2b2o$8bo34b2obo9bo7b2o13bo23bobo34bo$30bo34bo8b2o28b3o7b2o2bo$73bo$24bo13bo$o9bo12bobobo11b2o22bo32bo$9bo3b o9bo3b2o19bo15bobo5bo23bo$7bo17bo3bo25bo2bo2b2o$21bobo3bob2o25bo2bo2b 3o16bo10bo18bo32bo$24bob2obo24bo3bo4bo3bo31bo$19bo4b2o2bo14bo4bo4bo6b 3o18bo3bo19bo$52bo3bo3bob2obo32bo39bo$61b2ob2o24bo6bo$49b2o13b3o2bo15b
o5bobo21bo$64b2o18bo29bo$38bo6bo18bo3bo4bo62bo$17bo19bo14bo2bobo43bo 18bo$48bo5b2o59bo3bo$21bo20bo9bo19bo21bo15bo$24bo17bo2bob3obo3b2o3bo
14bo25bo$45b3obo$25bobo17bob2o3bob2o12bo6bo32bo$45b3o6bo2bo10bo$28bobo
18bo58bo$38b2o6b3o9bo9bo43bo$31bo3bo2b2o7b2o8b4o14bo34b2o$58b3obo$60bo
$33bo7bo$34bo6bo34bo3bo$70bobo2bo18bo$69bo29bo$98bo$98bo$102bo$87bo8bo
8bo2$107bo$84bo21bo3bo$106bo2$79b2obo2$86b2o4$86b2o!

Sorry but so far NO PUFFER and a ton of dots and some few frog-like patterns in the middle. Resuming in Morse...
*yawn* What a nothing-to-do day! Let's be the only person in the world to do CGOL during boring times.

Gustavo6046
Posts: 646
Joined: December 7th, 2013, 6:26 pm
Location: South of Brazil.

I don't let this topic die due to time frame!
*yawn* What a nothing-to-do day! Let's be the only person in the world to do CGOL during boring times.

Freywa
Posts: 589
Joined: June 23rd, 2011, 3:20 am
Location: Singapore
Contact:

Probably has been discovered before, but I hard-lolled at this:

Code: Select all

x = 15, y = 11, rule = B36/S23
2b2o$3b2o$ob2o$3o$bo$13bo$13bo$12bobo$13bo$13bo$4b3o!
Princess of Science, Parcly Taxel

Alexey_Nigin
Posts: 323
Joined: August 4th, 2014, 12:33 pm
Location: Ann Arbor, MI
Contact:

Freywa wrote:Probably has been discovered before, but I hard-lolled at this:

Code: Select all

x = 15, y = 11, rule = B36/S23
2b2o$3b2o$ob2o$3o$bo$13bo$13bo$12bobo$13bo$13bo$4b3o!
This pattern is called bomber.
There are 10 types of people in the world: those who understand binary and those who don't.

Gustavo6046
Posts: 646
Joined: December 7th, 2013, 6:26 pm
Location: South of Brazil.

### HighLife is high in puffers!

I discovered an way of placing an bomber near an replicator such that it reproduces an puffer. (Bomber Breeder 1)

Code: Select all

#CXRLE Pos=-55,-84 Gen=438
x = 16, y = 30, rule = B36/S23
5b3o$4bo2bo$3bo3bo$3bo2bo$3b3o4$13b3o$12bo2bo$11bo3bo$11bo2bo$11b3o3$
2b3o$bo2bo$o3bo$o2bo$3o$9b3o7$6b3o$6bobo$6b3o!

Putting another replicator increases the debris (Bomber Breeder 2):

Code: Select all

#CXRLE Pos=-78,-84 Gen=438
x = 39, y = 30, rule = B36/S23
28b3o$27bo2bo$26bo3bo$26bo2bo$26b3o4$36b3o$35bo2bo$2b3o29bo3bo$bo2bo
29bo2bo$o3bo29b3o$o2bo$3o$25b3o$24bo2bo$23bo3bo$10b3o10bo2bo$9bo2bo10b
3o$8bo3bo19b3o$8bo2bo$8b3o5$29b3o$29bobo$29b3o!

Though we may also use a glider stream to surpress the debris to make another of these puffer-based spaceships.
It doesn't matter whether it is notable or not - is yet an cool puffer, nice to watch and have an good challenge/proposal, that is, to turn into a puffer-based spaceship.
*yawn* What a nothing-to-do day! Let's be the only person in the world to do CGOL during boring times.

codeholic
Moderator
Posts: 1142
Joined: September 13th, 2011, 8:23 am
Location: Hamburg, Germany

I think this is a known pattern, but I'll leave it here anyway. An almost (7,4)c/38 spaceship:

Code: Select all

x = 4, y = 7, rule = B36/S23
3o2$obo$o$b2o$2obo$b2o! By the way, does anyone have a script that generates a boolean life function for gencols for different rules? I've got a feeling I saw something once, but I cannot find it. Ivan Fomichev Gustavo6046 Posts: 646 Joined: December 7th, 2013, 6:26 pm Location: South of Brazil. ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL codeholic wrote:I think this is a known pattern, but I'll leave it here anyway. An almost (7,4)c/38 spaceship: Code: Select all x = 4, y = 7, rule = B36/S23 3o2$obo$o$b2o$2obo$b2o!
By the way, does anyone have a script that generates a boolean life function for gencols for different rules? I've got a feeling I saw something once, but I cannot find it.
Sorry but boolean life functions are only for Wolfram 1D automatons as far as I know, and any binary (boolean) code function could be generated like the following:
# knowing 10 is 2 and 11 is 3,
## B3/S23 would be the decimal equivalent to B11/S10,11 and
## if therefore you want something that's purely binary,
### then Unicodes are your solution.
# examplis gratias: (seriously it's hard to remember that xitty phrase, lol)
## B3S23 = 0100001000110011010100110011001000110011
(as confirms this self-promoted converter...)
and things unfortunately gets just harder the more complex is the code (i.e. the more chars it has)
like:
01000010001100110011011001010011001100010011001000110101001110100101010001011000001100100011000001010100010110010011010100110000
which is the same as B36S125:TX20TY50. it is the code for (B36S125 (2x2): torus-behavior width 20, torus-behavior height 50)... that is pretty much only an B36/S125 in a 20x50 torus!
ugh... *rooonc*
*yawn* What a nothing-to-do day! Let's be the only person in the world to do CGOL during boring times.

Scorbie
Posts: 1388
Joined: December 7th, 2013, 1:05 am

Probably already known, but a cute puffer in caterpilars

Code: Select all

x = 10, y = 5, rule = Caterpillars
7.A.A$AB.AC2A2.A$5AB$5AC$AB.B!

And a dirty breeder that shoots caterpillars and growing spaceships.

Code: Select all

x = 13, y = 12, rule = Caterpillars
2$8.A$.AB.AC2A$.5AB$.5AC$.AB.B4.ABA$9.3A$9.3A$9.AB!

Edit: a small tagalong

Code: Select all

 x = 7, y = 18, rule = Caterpillars
2A3.2A$2.A.A$.A3.A2$.A3.A$2.A.A$2.ABA$2.CAC$2.3A$2.CAC$2.3A$3.A$.CBA$
.2AC$B3A$.2A$B2AB$4A!

Last edited by Scorbie on February 17th, 2015, 2:49 am, edited 1 time in total.
Best wishes to you, Scorbie