Search found 5155 matches

by MathAndCode
Today, 4:32 am
Forum: Patterns
Topic: The Hunting of the Elementary Conduits
Replies: 878
Views: 400048

Re: The Hunting of the Elementary Conduits

H-to-X partial x = 27, y = 30, rule = B3/S23 18b2o$7b2o4b2o3b2o$7bo2b2o2bo$8b3ob2o2$6b5ob2o$5bo4bob2o11b2o$4bo2bo17b 2o$bo2bob2o$obobo5bo$bo2bo4bobo$4b2o2bo2bo$9b2o6$9bo$9bobo$9b3o$11bo4$ 3b2o$4bo$b3o$bo6b2o$8b2o! I almost got a glider. I just need a fishhook replacement that recovers more slowly. ...
by MathAndCode
Today, 4:27 am
Forum: The Sandbox
Topic: Catalyses (Game)
Replies: 368
Views: 44853

Re: Catalyses (Game)

This was tough It shouldn't have been. Here are a B-sequence, Herschel without its first natural glider, and an extra glider. x = 30, y = 15, rule = B3/S23 5b2o$6bo$5bo$5b2o22bo$2o25b3o$o2b4o19bo$bobo2bo10bo9bo$2o2b2o10b2o8b2o $2bobo10bobo$2bo2bo8b2o$3b2o10bo$9b2o$10bo$7b3o$7bo! Next: x = 20, y = 2...
by MathAndCode
May 11th, 2024, 7:13 pm
Forum: The Sandbox
Topic: Wrong answers only thread
Replies: 599
Views: 28056

Re: Wrong answers only thread

b-engine wrote:
May 11th, 2024, 6:57 pm
Q: Oldest CA
Marine



Question: What is the simplest rule that is not omniperiodic?
by MathAndCode
May 11th, 2024, 5:21 pm
Forum: Patterns
Topic: Still Life Synthesis Thread
Replies: 633
Views: 183352

Re: Still Life Synthesis Thread

I saw the following synthesis in https://catagolue.hatsya.com/readsynth: x = 0, y = 0, rule = B3/S23 151$168.A$166.2A$167.2A2$150.A.A$151.2A10.A$151.A10.A$162.3A3$157.2A$158.2A$157.A2$164.3A$164.A$165.A2$154.2A$155.2A$154.A! I made the following fast components with it: x = 1534, y = 625, rule = B3/...
by MathAndCode
May 8th, 2024, 1:57 am
Forum: The Sandbox
Topic: The Near-Anagram Game
Replies: 297
Views: 42817

Re: The Near-Anagram Game

Value1 wrote:
May 7th, 2024, 10:01 am
histone
notices
by MathAndCode
May 6th, 2024, 11:42 pm
Forum: The Sandbox
Topic: The Near-Anagram Game
Replies: 297
Views: 42817

Re: The Near-Anagram Game

rutabaga wrote:
May 6th, 2024, 9:01 pm
oysters
stories
by MathAndCode
May 6th, 2024, 11:38 pm
Forum: The Sandbox
Topic: Catalyses (Game)
Replies: 368
Views: 44853

Re: Catalyses (Game)

Next: Don't eat and only interact until generation 20 x = 4, y = 5, rule = B3/S23 3bo$2b2o$bobo$2o$bo! I made an R-sequence. x = 17, y = 9, rule = B3/S23 15b2o$15bo$13bobo$13b2o$7bo$6b2o$5bobo$2o2b2o$2o3bo! Let's use the same sequence, again with no eating, but this time, the catalysts may only int...
by MathAndCode
May 6th, 2024, 8:34 pm
Forum: The Sandbox
Topic: The Near-Anagram Game
Replies: 297
Views: 42817

Re: The Near-Anagram Game

rutabaga wrote:
May 6th, 2024, 6:18 pm
corsets
forests
by MathAndCode
May 6th, 2024, 4:56 pm
Forum: The Sandbox
Topic: The Near-Anagram Game
Replies: 297
Views: 42817

Re: The Near-Anagram Game

rutabaga wrote:
May 6th, 2024, 12:52 pm
Roast ice
coarsest
(I would like to keep these to single words if possible to prevent the length from getting too long for practical mental rearrangement of letters.)
by MathAndCode
May 5th, 2024, 1:43 am
Forum: The Sandbox
Topic: Thread for your unusual catalyses
Replies: 99
Views: 15966

Re: Thread for your unusual catalyses

My first ever salvo-thing (?). 25G-to-G x = 203, y = 207, rule = B3/S23 2$198b2o$198b2o5$195b3o$197bo$196bo4$189b3o$191bo$190bo14$173b3o$175bo $174bo5$166b3o$168bo$167bo$163bo$163b2o$162bobo12$149b3o$151bo$150bo5$ 142b3o$144bo$143bo9$131b2o$132b2o$131bo10$118b3o$120bo$119bo7$109bo$ 109b2o$108bobo2$...
by MathAndCode
May 5th, 2024, 1:17 am
Forum: Other Cellular Automata
Topic: HoneyBomb Life
Replies: 48
Views: 7173

Re: HoneyBomb Life

HoneyBomb Life is actually explosive. This is the current smallest unbounded growth pattern I'd found: x = 4, y = 4, rule = B2i3/S23 bo$b2o$o2bo$b3o! It has (at least) two seven-cell parents. x = 25, y = 6, rule = B2i3/S23 2bo2$2o18b3o$2b2o18bo$b2o18b2o$24bo! Also, there is this completely unrelate...
by MathAndCode
May 1st, 2024, 10:47 pm
Forum: The Sandbox
Topic: Thread for your unusual catalyses
Replies: 99
Views: 15966

Re: Thread for your unusual catalyses

The block survives with help from friends. (It's fun to type iambicly.)

Code: Select all

x = 15, y = 14, rule = B3/S23
13b2o$7b2o5bo$7bobob3o$9bobo$9b2o2$2o2b2o$2b4o$4b2o2b2o$4b2o2b2o$3bo$4bo$7b2o$7b2o!
by MathAndCode
April 20th, 2024, 3:38 am
Forum: Patterns
Topic: Synthesising Oscillators
Replies: 1873
Views: 1132253

Re: Synthesising Oscillators

The first p3 billiard table in jslife ( xp3_8e1mk4oz9f0egp ) in 44G. x = 736, y = 50, rule = B3/S23 704bo$705b2o$704b2o$710bo$711b2o$710b2o5$703bo$701bobo$702b2o25bo4bo$ 727b2o4bo$728b2o3b3o4$701bo$659bo42b2o$354bobo300bobo41b2o$313bo41b2o 301b2o3bo41b3o20b3o$313bobo39bo305b2o44bo20bo$238bo74b2o347...
by MathAndCode
April 14th, 2024, 6:16 pm
Forum: Other Cellular Automata
Topic: B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8
Replies: 29
Views: 4454

Re: B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8

I came back to this rule and found a p28 snowflake hassler fairly quickly. x = 17, y = 17, rule = B2ci3aik4c5ry6a7e/S1e2aei3-cnry4eiyz5aeir6ei8 10bo$10bo$8bo$4b2o2b2o$13bo$8bo4bo$2o6bo$3bo2bo$2b2o9b2o$7bo5bo$6b3o6b 2o$3bo3bo$3bo$7b2o2b2o$8bo$6bo$6bo! There's probably a bunch of interesting stuff lef...
by MathAndCode
March 23rd, 2024, 12:29 am
Forum: Patterns
Topic: Small Spaceship Syntheses
Replies: 731
Views: 566384

Re: Small Spaceship Syntheses

I found a way of adding that small component (muzik called it a "crotchet" a few posts up) onto the edge of an appropriate c/3 spaceship, so that entire family of c/3 ships should now have syntheses: x = 53, y = 39, rule = B3/S23 41bo$39b2o$39b2o$41bo$39bo$38b3o$38bo$37b2o$38bo$39bo2bo$43bo$bo38b2o...
by MathAndCode
March 15th, 2024, 2:02 am
Forum: Patterns
Topic: Oscillator Discussion Thread
Replies: 4543
Views: 1700264

Re: Oscillator Discussion Thread

P16 pi-heptomino hassler and one of its higher-clearance variants : x = 72, y = 31, rule = B3/S23 66bo$66b2o$65b2obo$64bo2b3o$63bobobo$62bobobo$60b3o2bo$2b2o13b2o42bob 2o$b3o13b3o42b2o$obo2bo2b2ob2o2bo2bobo42bo$2o2b2o2b2ob2o2b2o2b2o33b2o 11b2o$4b2o9b2o38bo11bo$55bobo7bobo$56b2o7b2o2$10bo50bo$9bobo4...
by MathAndCode
March 15th, 2024, 1:51 am
Forum: Patterns
Topic: Synthesising Oscillators
Replies: 1873
Views: 1132253

Re: Synthesising Oscillators

There's a symmetrical oscillator in this as that doesn't appear to have been synthesized so far: x = 17, y = 36, rule = B3/S23 3bo$2bobo$bo3bo$2bobo2$2b3o$2b3o6$3b2o$2bo2b2o4b3o$b2o2b4o2b3o$bo4b3ob 3o$2o6b2ob3o$ob12o$b9o$2b6o3$14bo$9b3o3bo$8b4o$7bo3bo4bo$7bobo$8bobobo 2bo$7b2ob2ob2o$7b2obo$8bo$8b2o...
by MathAndCode
March 12th, 2024, 8:26 pm
Forum: Patterns
Topic: Synthesising Oscillators
Replies: 1873
Views: 1132253

Re: Synthesising Oscillators

3-gliders reduction: x = 39, y = 22, rule = B3/S23 35bo$35bobo$35b2o3$36bo$36bobo$36b2o2$23b2o$23bo$24b3o$13b3o10bo$5b2o 6b3o$5bobo4bo3bo13b2o$6b2o3bo2b2o3bo10bo$2b2o6b2o3bob2obo7bobo$bobo7b ob2obo3b2o6b2o$bo10bo3b2o2bo3b2o$2o13bo3bo4bobo$16b3o6b2o$16b3o! I improved it by two more gliders. x = 1993...
by MathAndCode
March 12th, 2024, 1:59 pm
Forum: Patterns
Topic: Thread For Your Accidental Discoveries
Replies: 2058
Views: 1422479

Re: Thread For Your Accidental Discoveries

I accidentally found an interchange predecessor-hassling reaction. x = 16, y = 7, rule = B3/S23 14bo$5b3o5bo$13b3o$b2obo$bo2bo$o$5b3o! I couldn't find any p14 oscillators that can support it (although 42P14 comes kind of close), so here is a glider stabilization: x = 270, y = 244, rule = B3/S23 230b...
by MathAndCode
March 12th, 2024, 1:18 am
Forum: Patterns
Topic: Thread for your unsure discoveries
Replies: 3263
Views: 1497790

Re: Thread for your unsure discoveries

Chopping one third of traffic light results in a c/14 partial: # "FIxed" using commands x = 5, y = 4, rule = B3/S23 o$o3bo$o3bo$b3o! #C [[ PASTEDELTA -1 0 PASTEMODE X PASTET EVERY 14 PASTE 5b$o4b$o3bo$o3bo$b3o! ]] It can be sustained with gliders. x = 49, y = 122, rule = B3/S23 40bobo3bo$40b2o4bobo...
by MathAndCode
March 12th, 2024, 1:05 am
Forum: Patterns
Topic: Thread For Your Useless Discoveries
Replies: 4568
Views: 1762883

Re: Thread For Your Useless Discoveries

Four gliders convert a difficult motif to something easier (specifically siamese python to dock). x = 23, y = 37, rule = B3/S23 4bobo$5b2o$5bo11$5bo$6b2o$5b2o4$bo$b2o7bo$obo7b2o$9bobo7$19b2o$20bo$ 19bo$18bo$18b2o$19bo$19bob2o$20bobo! I'm not even sure that it's new. Edit: I generalized it, and some ...
by MathAndCode
March 7th, 2024, 1:22 am
Forum: Patterns
Topic: Thread for your unsure discoveries
Replies: 3263
Views: 1497790

Re: Thread for your unsure discoveries

Were these slow components known? x = 78, y = 23, rule = B3/S23 14bo$12b2o61bobo$13b2o53bo6b2o$3bo62bobo7bo$4b2o61b2o$3b2o$15bo59bo$13b 2o58b2o$2bo11b2o46bo11b2o$obo57bobo$b2o58b2o5$5bo3bo55bo3bo$4bobobobo 53bobobobo$5b2obobo54b2obobo$8b2o58b2o$5b2o58b2o$5bo59bo$6b3o57b3o$8b o59bo! Edit: They can do...
by MathAndCode
March 6th, 2024, 2:01 am
Forum: Patterns
Topic: Smallest Known Oscillators to p106 (and Beyond)
Replies: 190
Views: 38411

Re: Smallest Known Oscillators to p106 (and Beyond)

For p88, flipping the figure eight yields a smaller bounding box, which I think should be the tiebreaker if the period is the same. x = 22, y = 15, rule = B3/S23 8b2o$8bo$9bo4b2o$8b2o$12bo3bo$12bo4bo$14bobobo$5b2o8bobobo$5bob2o7bo4b o$2obobobobo7bo3bo$ob2obobo$6bo2b3o6b2o$7b2o3bo$9b3o$9bo! Here is t...
by MathAndCode
March 6th, 2024, 1:47 am
Forum: Patterns
Topic: Synthesising Oscillators
Replies: 1873
Views: 1132253

Re: Synthesising Oscillators

I reduced the glider cost of xp8_y9mm1ozya3c6wgzgw8808og137y1233xggo0ooz0330311xoo8y1sog132022w1zy61wc6ozy93gdd from 52 to 40. x = 3624, y = 216, rule = B3/S23 1675bo$1673b2o$1674b2o2$1533bo$1534b2o$1533b2o14$1691bo$1689b2o$1690b 2o3$1521bobo$1522b2o$1522bo5$1710bobo$1710b2o$1711bo1542bo$3253bo$ 325...
by MathAndCode
March 2nd, 2024, 3:46 pm
Forum: Patterns
Topic: Oscillator Discussion Thread
Replies: 4543
Views: 1700264

Re: Oscillator Discussion Thread

One more period off the list! x = 36, y = 24, rule = B3/S23 12b2o$12b2o$6bo$6b2o$5b2obo3b2o$4bo2b3o2bob2o$3bobobo5b3o$2bobobo$3o2b o23b2o$bob2o6bo7bo9bobo$2b2o6bobo5b3o5b2obobo$3bo7bo5b2obo5bobobo$28b o$27bo2bo$27bo$21b2o4bo$15b2o5b2o3bo4bo$21b2o4bo3bobo$21bo6bo2b2obo$32b obo$16b2o10b4ob3o$17bo9bo7...