Search found 566 matches

March 10th, 2018, 3:40 pm
Forum: Patterns
Topic: Elementary knightship
Replies: 136
Views: 254068

Re: Elementary knightship

calcyman wrote: I'm pleased that this work has come to fruition!
It's awesome, this was the Holy Grail that inspired my screen name
March 10th, 2018, 2:59 pm
Forum: Patterns
Topic: Elementary knightship
Replies: 136
Views: 254068

Re: Elementary knightship

Thanks, calcyman, this is the "White Knight" that saved the day for elementary knightships. (I know it is too late to suggest a name). This sparks my interest in CA again.
July 30th, 2017, 9:30 pm
Forum: Other Cellular Automata
Topic: Larger than Life
Replies: 401
Views: 182601

Re: Larger than Life

Also, who can find the first bug in Bugs Range 50? (Convert using my script/Dean Hickerson's algorithm) Here's one: #C Symmetric spaceship that moves southeast with speed 3000/929 ~ 3.229 x = 92, y = 92, rule = R50,C0,M1,S2866..4890,B2866..3794,NM:T10000,10000 36b14o\$33b20o\$31b24o\$... Merging two o...
May 9th, 2017, 8:41 pm
Forum: Patterns
Replies: 2032
Views: 1002327

Can this be done with 4 gliders?

Code: Select all

``````x = 109, y = 95, rule = B3/S23
obo\$b2o\$bo44\$106bo\$106bobo\$106b2o11\$74bo\$72bobo\$73b2o\$69b2o\$68bobo\$70b
o28\$53b2o\$52bobo\$54bo!
``````
September 11th, 2016, 10:33 pm
Forum: Patterns
Replies: 2587
Views: 1089440

8-cells, 17x11 bounding box: x = 17, y = 11, rule = B3/S23 15b2o\$14b2o\$15bo8\$3o! Lasts 8268 generations but starts as two objects, R plus blinker I prefer methuselahs where all cells are connected orthogonally and/or diagonally (polyplet) Challenge: find a long lasting methuselah that is a single or...
September 11th, 2016, 9:24 pm
Forum: Patterns
Replies: 2587
Views: 1089440

8-cell 4x5 bounding box:

Code: Select all

``````x = 5, y = 4, rule = B3/S23
3bo\$4bo\$4bo\$5o!
``````
601 gen "methuselah"
July 18th, 2015, 11:44 pm
Forum: Other Cellular Automata
Topic: A spaceship in Langtons Ant!?
Replies: 46
Views: 23923

Re: A spaceship in Langtons Ant!?

A diagonal line "runs over" a domino: x = 28, y = 11, rule = Langtons-Ant 2A8\$13.2D\$13.2D\$5.A21.A! Pattern recovers from stray dot collision sometimes: x = 42, y = 100, rule = Langtons-Ant 12.A8\$8.2D\$8.2D\$A31.A47\$A3\$13.2D\$13.2D\$5.A19.A27\$A8\$13.2D\$13.2D\$5.A 35.A! EDIT: more complex recovery: x = 32, ...
April 3rd, 2015, 9:13 pm
Forum: Other Cellular Automata
Topic: Universality proof question
Replies: 59
Views: 22759

Re: Universality proof question

Universality can be reached with the following gates: x = 162, y = 163, rule = BTCA1 33.BA92.B\$3.B28.3BA90.BA2B\$2.BA2B27.3B89.BA2B30.B\$.BA2B29.B91.3B28.2B AB\$2.3B121.B31.2BAB\$2.B155.3B\$160.B6\$29.A\$27.3A\$28.3A\$28.A9\$13.A\$13. 3A8.A\$12.3A7.3A107.A\$14.A8.3A104.3A\$23.A107.3A\$131.A36\$127.B\$126.BA2B \$125.B...
March 15th, 2015, 5:34 pm
Forum: Other Cellular Automata
Topic: Universality proof question
Replies: 59
Views: 22759

Re: Universality proof question

This glider duplicator can duplicate glider streams: x = 86, y = 52, rule = BTCA1 34.AB\$33.A3B\$33.3B\$34.B4\$13.A\$11.3A\$12.3A\$12.A2\$19.A\$17.3A6.A\$18.3A5. 3A\$18.A6.3A\$27.A\$.A30.A\$.3A26.3A28.A\$3A28.3A25.3A\$2.A28.A28.3A4.A\$60. A4.3A\$66.3A\$66.A5.A\$38.A31.3A\$36.3A32.3A\$37.3A31.A\$37.A2\$74.A\$72.3A\$ 73.3A\$73....
February 25th, 2015, 12:48 am
Forum: Other Cellular Automata
Topic: Universality proof question
Replies: 59
Views: 22759

Re: Universality proof question

Found a true p2 glider duplicator: x = 44, y = 34, rule = BTCA1 11.B\$10.BA2B\$9.BA2B\$10.3B\$10.B2\$28.A\$28.3A\$27.3A\$5.A23.A\$5.3A\$5.A26.A \$30.3A\$31.3A\$31.A\$3A\$.A\$.A\$38.A\$38.3A\$37.3A\$39.A3\$13.A28.A\$13.3A24.3A \$12.3A9.A16.3A\$14.A7.3A16.A\$23.3A\$23.A\$29.A\$29.A6.A\$28.3A5.A\$35.3A! One output is an exact 180 r...
February 22nd, 2015, 5:37 pm
Forum: Other Cellular Automata
Topic: Universality proof question
Replies: 59
Views: 22759

Re: Universality proof question

A backrake (needs cleanup) turns into a clean p72 rake by adding 2 gliders to the floatilla: x = 48, y = 87, rule = BTCA1 29.BA14.A.A\$29.3A14.2A\$30.A4.A.A4.B2.3A\$36.2A3.2B.B\$35.3A5.2B\$42.3B\$ 39.A.A\$40.2A\$39.3A40\$.A\$AB2A\$.2A\$.A8\$17.A\$16.AB2A\$17.2A\$17.A16\$8.BA 14.A.A\$8.3A14.2A\$9.A4.A.A4.B2.3A\$15.2A3.2...
February 22nd, 2015, 4:47 pm
Forum: Other Cellular Automata
Topic: Universality proof question
Replies: 59
Views: 22759

Re: Universality proof question

Here is a 180 degree p2 reflector: x = 83, y = 85, rule = BTCA1 7.A\$7.A6.A\$6.3A5.A\$13.3A4\$.A\$.3A\$3A\$2.A4\$4.A\$2.3A\$3.3A\$3.A24.A\$26.3A\$ 27.3A\$10.A16.A\$10.3A\$10.A8\$16.3A\$17.A\$17.A19\$50.B\$49.BA2B\$48.BA2B\$49. 3B12.3A\$49.B15.A\$65.A7\$71.A\$71.3A\$54.A16.A\$54.3A\$53.3A\$55.A22.A\$78.3A \$77.3A\$79.A4\$81.A\$79.3A\$80...
February 15th, 2015, 3:17 pm
Forum: Other Cellular Automata
Topic: Universality proof question
Replies: 59
Views: 22759

Re: Universality proof question

Found a simple 90 degree reflector! x = 33, y = 35, rule = BTCA1 26.A\$24.3A\$18.A6.3A\$18.3A4.A\$17.3A\$19.A\$32.A\$30.3A\$32.A4\$28.A\$28.3A\$ 27.3A\$29.A5\$24.A\$22.3A\$24.A8\$.B\$.3B\$BA2B\$.BA2B\$2.B! EDIT: This 90 degree reflector converts big glider to small glider and is even simpler: x = 35, y = 34, rule = BTC...
February 15th, 2015, 2:40 pm
Forum: Other Cellular Automata
Topic: Universality proof question
Replies: 59
Views: 22759

Re: Universality proof question

Found a p108 gun: x = 45, y = 43, rule = BTCA1 27.B\$27.3B\$27.B2\$34.B\$34.3B\$33.3B\$35.B5\$26.A\$24.2AB2A\$24.2AB3A\$23.3AB 3A\$18.3A6.3BA\$19.2A.4A.3A\$18.2AB5A.3A4.B7.A\$20.A2.3A.A6.3B4.AB2A\$19. 4A.2A7.3B4.AB2A\$18.5A.A10.B5.3A\$19.AB3AB2A14.A\$17.6A.3A\$17.3A.A2.A.A\$ 17.3A5\$2.B\$3B\$.3B\$.B6\$10.B\$10.3B\$9.3B\$11.B! ...
February 8th, 2015, 6:51 pm
Forum: Other Cellular Automata
Topic: Universality proof question
Replies: 59
Views: 22759

Re: Universality proof question

Found (many) pinwheel terminations for p108 oscillator and a p108 wick: x = 204, y = 374, rule = BTCA1 11.B\$9.3B\$10.3B\$10.B6\$.B\$.3B\$3B\$2.B4\$17.3A\$16.4A\$16.3AB\$16.2AB3A\$19. 2A\$19.A24\$47.A\$46.2A\$45.3AB2A\$47.B3A\$47.4A\$47.3A20\$71.3A\$70.4A\$70.3AB \$70.2AB3A\$73.2A\$73.A24\$101.A\$100.2A\$99.3AB2A\$101.B3A\$101.4...
January 4th, 2015, 5:21 pm
Forum: Patterns
Topic: Soup search results
Replies: 2276
Views: 1419207

Re: Soup search results

28-bit still life from honeyfarms and blocks with glider cleanup:

Code: Select all

``````x = 36, y = 9, rule = B3/S23
17b2o\$obo7bo6b2o6bo7bobo\$b2o6b3o12b3o6b2o\$bo6b2ob2o10b2ob2o6bo\$7b3ob3o
8b3ob3o\$8b2ob2o10b2ob2o\$9b3o12b3o\$10bo6b2o6bo\$17b2o!
``````
January 4th, 2015, 4:31 pm
Forum: General Discussion
Topic: Why I Fail at Making Discoveries
Replies: 32
Views: 11241

Re: Why I Fail at Making Discoveries

There is the accidental discovery and then there is the engineering feat. Either way you may need a little luck!
January 4th, 2015, 2:47 pm
Forum: Other Cellular Automata
Topic: Universality proof question
Replies: 59
Views: 22759

Re: Universality proof question

Make oscillator with 7 times gun period: x = 49, y = 54, rule = BTCA1 13.A\$11.3A\$12.3A\$.A10.A\$.3A\$3A2.B\$2.A2.3B\$4.3B12.A\$6.B10.3A\$18.3A\$18. A7\$8.A\$6.3A\$7.3A\$7.A2\$43.A\$43.3A\$42.3A\$44.A5\$39.A\$37.3A\$38.3A\$38.A\$ 26.B18.3B\$22.A3.3B15.2BA2B\$22.3A.2B16.BABAB\$21.3A3.B16.2BA2B\$23.A15. 3B3.3B\$38.3B\$38.3B\$38.B...
January 4th, 2015, 1:29 pm
Forum: General Discussion
Topic: Why I Fail at Making Discoveries
Replies: 32
Views: 11241

Re: Why I Fail at Making Discoveries

It is still possible to make discoveries by being extremely observant and being able to recognize patterns that can be ignored because they are commonplace. Endless patience and trial and error are necessary if searching manually, which is what I have preferred to do so far, just because it's more f...
January 4th, 2015, 2:14 am
Forum: General Discussion
Topic: apgsearch: a high-performance soup searcher
Replies: 147
Views: 110812

Re: apgsearch: a high-performance soup searcher

2 pi + blinker ----> 52-bit still life:

Code: Select all

``````x = 26, y = 47, rule = B3/S23
2bo\$obo\$b2o2\$23bo\$23bobo\$23b2o8\$9bobo\$10b2o\$10bo7bo\$16b2o\$17b2o22\$23b
2o\$23bobo\$23bo2\$b2o\$obo\$2bo!
``````
December 31st, 2014, 4:30 pm
Forum: Other Cellular Automata
Topic: Universality proof question
Replies: 59
Views: 22759

Re: Universality proof question

A wierd way to make a big glider from two small ones: (normally 2 small gliders can't make a big one with a simple collision) x = 54, y = 45, rule = BTCA1 16.3B\$14.7B\$13.9B\$12.3B2AB2A3B\$12.2BA.B.B.A2B\$11.3BA5BA3B\$11.4B.BAB. 4B\$11.3BA5BA3B\$12.2BA.B.B.A2B\$12.3B2AB2A3B\$13.9B\$14.7B\$16.3B29\$52.B\$. B49.3B...
December 31st, 2014, 2:19 pm
Forum: Other Cellular Automata
Topic: Universality proof question
Replies: 59
Views: 22759

Re: Universality proof question

A compound p270 big-glider gun I made is used to quintuple a small-glider gun's period from p54 to p270 to make a matching p270 small-glider gun: x = 94, y = 125, rule = BTCA1 72.B\$70.5B\$69.3BA3B\$68.2BABABA2B\$68.3B3.3B\$67.2B2A3.2A2B\$68.3B3.3B7.A \$60.A7.2BABABA2B7.3A\$59.2A8.3BA3B7.3A\$61.A8.5B10.A\$72....
December 31st, 2014, 5:13 am
Forum: Other Cellular Automata
Topic: Universality proof question
Replies: 59
Views: 22759

Re: Universality proof question

I found this very unusual converter with a delay element: x = 40, y = 24, rule = BTCA1 AB\$3B\$.B7\$32.B\$32.B\$30.5B\$30.5B\$31.3B\$27.2B2.ABA2.2B\$27.3BA3BA3B\$25. 15B\$27.3BA3BA3B\$27.2B2.ABA2.2B\$31.3B\$30.5B\$30.5B\$32.B\$32.B! The small glider becomes a p2 pinwheel (what I call it) for a few gens then becomes ...
December 29th, 2014, 12:08 am
Forum: General Discussion
Topic: How to assess how far a pattern is from randomness
Replies: 8
Views: 3647

Re: How to assess how far a pattern is from randomness

Assuming CGOL and randomness per bit (therefore 50% density) I find that the simple population metric is enough to tell the first few generations (even 50 gen) because there is a consistent monotonic decrease in the population with a large enough sample size. The population drops by certain percenta...
December 28th, 2014, 9:51 pm
Forum: Patterns
Topic: (23,5)c/79 knightship caterpillar complete!
Replies: 49
Views: 35364

Re: (23,5)c/79 knightship caterpillar complete!

Awesome! Congrats to Ivan Fomichev for finding the means to the end. Pattern of the Year should be revived as this is a great year for awesome patterns. Now I need to get going with my next discovery since I'm done with overtime and have some extra time.