Search found 5141 matches

by MathAndCode
March 23rd, 2024, 12:29 am
Forum: Patterns
Topic: Small Spaceship Syntheses
Replies: 730
Views: 559429

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: 4447
Views: 1670422

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: 1862
Views: 1124139

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: 1862
Views: 1124139

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: 2046
Views: 1412827

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: 3210
Views: 1483878

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: 4517
Views: 1750249

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: 3210
Views: 1483878

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: 37744

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: 1862
Views: 1124139

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: 4447
Views: 1670422

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...
by MathAndCode
February 21st, 2024, 1:11 am
Forum: Patterns
Topic: Synthesising Oscillators
Replies: 1862
Views: 1124139

Re: Synthesising Oscillators

I cheapened 46P10 . x = 805, y = 67, rule = B3/S23 804bo$802b2o$803b2o12$562bo$560bobo$561b2o2$412bobo104bo44bo205bo27bo $413b2o104bobo42bobo7bo196bo24b2o$413bo101bo3b2o43b2o7bo195b3o25b2o$420b obo93bo56b3o$368bo52b2o3bo87b3o$366bobo52bo3bo$367b2o10bo45b3o193bo58b o61bo23bo$378bo186bo10b2o44b2o57b2o...
by MathAndCode
February 20th, 2024, 9:39 pm
Forum: Patterns
Topic: Still-life 'factories'
Replies: 192
Views: 132838

Re: Still-life 'factories'

Here's some H to Block, Hive, Long Boat and less common H to Eater 1 + Block (unfortunately) : Nice find! There is another conduit that also makes an E-heptomino via the same boat+traffic light reaction, which can be modified in the same way to make a fishhook (and block). x = 21, y = 52, rule = B3...
by MathAndCode
February 20th, 2024, 9:25 pm
Forum: Patterns
Topic: Thread For Your Useless Discoveries
Replies: 4517
Views: 1750249

Re: Thread For Your Useless Discoveries

C28 wrote:
February 20th, 2024, 11:16 am
HL106B

Code: Select all

x = 20, y = 26, rule = B3/S23
2o$obo$b2o3$7bo$6bobo$6bobo$7bo13$3b3o$4bo11b2o$4b3o9bobo$18bo$18b2o!
Here is an even more useless way to turn it into a pi.

Code: Select all

x = 20, y = 33, rule = B3/S23
2o$obo$b2o3$7bo$6bobo$6bobo$7bo13$3b3o$4bo11b2o$4b3o9bobo$18bo$18b2o4$
6b2o$6bo$7bo$6b2o!
by MathAndCode
February 20th, 2024, 9:23 pm
Forum: Patterns
Topic: Synthesising Oscillators
Replies: 1862
Views: 1124139

Re: Synthesising Oscillators

Are there any ways that a single clock can be synthesised in a two-sided or three-sided way? Trying to synthesise this double-suppressed unix variant: x = 15, y = 15, rule = B3/S23 2bo$obo$bobo2b2o$bo4b2o3$5b3o$5b2obo2b2o$7b2o2b2o$7b2o2$12bo$13b2o$11b 2o$13bo! This should help: Stray electrical cur...
by MathAndCode
February 18th, 2024, 9:12 pm
Forum: Patterns
Topic: Thread For Your Useless Discoveries
Replies: 4517
Views: 1750249

Re: Thread For Your Useless Discoveries

Five gliders from two directions make two almost-synchronized century sequences that converge relatively late for the century sequence.

Code: Select all

x = 41, y = 29, rule = B3/S23
obo$b2o$bo9$38bobo$38b2o$39bo3$21bo$19b2o$20b2o5$22bobo$22b2o$23bo$18bo$19bo$17b3o!
by MathAndCode
February 18th, 2024, 4:05 pm
Forum: Patterns
Topic: Thread for your fast components
Replies: 37
Views: 7906

Re: Thread for your fast components

Here are some fast components based on the relatively new synthesis of xs19_caab8oz3156 : x = 788, y = 784, rule = B3/S23 o149bo149bo149bo149bo149bo$b2o148b2o148b2o148b2o148b2o148b2o$2o148b2o 122bobo23b2o148b2o148b2o148b2o$275b2o$275bo$bo149bo149bo149bo149bo149b o$2b2o27bo120b2o27bo120b2o27bo120b2o2...
by MathAndCode
February 18th, 2024, 12:11 am
Forum: Patterns
Topic: Thread for your unsure discoveries
Replies: 3210
Views: 1483878

Re: Thread for your unsure discoveries

Is this slow component known?

Code: Select all

x = 15, y = 28, rule = B3/S23
o$b2o$2o8$5bo$6b2o$5b2o5$14bo$6bo5b2o$4bobo6b2o$5b2o6$9b2o$9b2o!
It turns a block into trans-mirrored bookends.
by MathAndCode
January 30th, 2024, 3:34 am
Forum: Patterns
Topic: Small Spaceship Syntheses
Replies: 730
Views: 559429

Re: Small Spaceship Syntheses

Edit : Full synthesis: x = 5067, y = 83, rule = B3/S23 5052bo$5021bobo27bo$5024bo26b3o$5024bo$5021bo2bo$5022b3o$5044bobo9bobo $5028b2o14b2o10b2o$2323bo2667bobo33b3o15bo11bo$2301bobo17b2o2669b2o33b 3o$2302b2o18b2o2668bo34b2obo$2302bo2725b3o$4988bobo38bo$2318bobo1176bo 1491b2o73bo$2318b2o1178b2o1489b...
by MathAndCode
January 25th, 2024, 11:56 pm
Forum: Patterns
Topic: Synthesising Oscillators
Replies: 1862
Views: 1124139

Re: Synthesising Oscillators

Pseudo-barberpole in C4_1, found on July 6 by TechnobladeNeverDies: x = 31, y = 31, rule = B3/S23 booobboobobobboobobboboobbobbbb$ bbobobobbobbooboobooboobbooobbo$ bbbobooobbooooboboooooooboboboo$ boobobobbbboboooobbbobobooobobo$ oobobbobobooobobbbboooobbobobob$ booooobbbooboobbbooobobooobbobb$ bbb...
by MathAndCode
January 22nd, 2024, 12:52 am
Forum: Patterns
Topic: The Hunting of the Elementary Conduits
Replies: 873
Views: 395864

Re: The Hunting of the Elementary Conduits

If only... x = 46, y = 37, rule = B3/S23 36bo$8bo26bobo$9b2o25bo$8b2o$34b5o$34bo4bo$29bo7bo2bo$27b3o7b2obo$26b o7bo5bob2o$26b2o5bobo4bob2o$33bo2bo2b2o$34b2o4bo$40bobo$39b2ob3o$bo43b o$obo36b2ob3o$obo22b2o12b2obo$bo22bo2bo$24bo2bo$25b2o10$23b2o$23bo3b2o $24bo2bobo$21b3o4bo$21bo2b4o$24bo$25bo$24b2o! ...
by MathAndCode
January 19th, 2024, 6:58 pm
Forum: Patterns
Topic: Synthesising Oscillators
Replies: 1862
Views: 1124139

Re: Synthesising Oscillators

Finally, I have a successful synthesis of a couple hybrids of gourmet+popover ( number 1, 3/4 gourmet , number 2, 1/2 gourmet , number 3, 1/4 gourmet ). Unfortunately not a synthesis of the canonical form of either. Turns out a single glider colliding with a clock put the pi in the right spot with ...
by MathAndCode
January 14th, 2024, 10:22 pm
Forum: The Sandbox
Topic: Thread for your unusual catalyses
Replies: 95
Views: 15663

Re: Thread for your unusual catalyses

hotcrystal0 wrote:
January 14th, 2024, 9:38 pm

Code: Select all

x = 9, y = 8, rule = B3/S23
4o$bo2bo$bo2bo$b3o$bo2bo2b2o$bo2bo2b2o$bo2bo$5bo!
just making sure that people viewing this thread can appreciate this unusual block catalysis that hotcrystal0 found
by MathAndCode
January 13th, 2024, 2:32 am
Forum: Patterns
Topic: Thread for your chaos-edgeshooting reactions that can probably yield new conduits
Replies: 129
Views: 33951

Re: Thread for your chaos-edgeshooting reactions that can probably yield new conduits

Here is a mildly chaos-edgeshooting Galumpher variant. x = 41, y = 32, rule = B3/S23 bo20b2o$2bo19b2o$3o27b2o$29bobo3bo$29bo4bobo$28b2o4bobo$33b2ob3o$39bo $33b2ob3o$33b2obo2$2b2o$3bo$3bobo$4b2o2$39b2o$39b2o8$21b2o$21b2o4$18b 2o$18b2o! So far, the only best that I have been able to get from it is a B...
by MathAndCode
January 13th, 2024, 12:12 am
Forum: Patterns
Topic: Small Spaceship Syntheses
Replies: 730
Views: 559429

Re: Small Spaceship Syntheses

Frustratingly, this method allows construction of all 35P12H6V0-with-pufferfish-tagalong ships except the minimal-length one: You didn't try the 3-glider HWSS synthesis, did you? (This was meant to be humorous, not insulting, but I am including this clarification because I can see the possibility f...