Search found 5114 matches

by MathAndCode
November 30th, 2023, 9:07 pm
Forum: Patterns
Topic: Soup search results
Replies: 2578
Views: 1873667

Re: Soup search results

We've finally got a new longest-lived C1 diehard, messless_14h : I manually decreased the bounding box area by 16 and increased the lifetime by 1. x = 15, y = 16, rule = B3/S23 3o$o7bobo$7b2ob2o$7bo4bobo$10bo2b2o$10bo3bo$10bo2b2o$13b2o$12bobo$14b o$5bo7b2o$5bo7b2o$5b3o3bo2bo$14bo$13bo$12bobo! 21-ce...
by MathAndCode
September 3rd, 2023, 5:02 pm
Forum: Patterns
Topic: Thread For Your Useless Discoveries
Replies: 4310
Views: 1721528

Re: Thread For Your Useless Discoveries

Two p4 fountain sparkers can hassle a block predecessor. x = 16, y = 29, rule = B3/S23 5b2o$4bobo$3bo2bob2obo$b3obobobob3o$o4bobobo4bo$ob3obobob3obo$4bo5bo$ 2bobobobobobo$bo4b3o4bo$2b11o$2b2o7b2o2$7bo$6bo$6bo2bo$8b2o2$7b3o$5b7o $2b2ob2obob2ob2o$3bob2o3b2obo$2bobo7bobo$2bo2bobobobo2bo$b2ob2ob3ob2o b2...
by MathAndCode
September 3rd, 2023, 4:22 pm
Forum: Patterns
Topic: Small predecessors of common objects and evolutionary sequences
Replies: 48
Views: 12131

Re: Small predecessors of common objects and evolutionary sequences

Is a skewed paperclip common enough that this ten-cell predecessor should be added to the first post?

Code: Select all

x = 4, y = 8, rule = B3/S23
o$b2o2$2b2o$2o2$b2o$3bo!
by MathAndCode
August 19th, 2023, 1:39 pm
Forum: Patterns
Topic: Poll: Should the term "dependent reflector" be made to include reflectors that accept a range of timings?
Replies: 21
Views: 2147

Re: Poll: Should the term "dependent reflector" be made to include reflectors that accept a range of timings?

Why must we have such a binary mindset? Why not call them semidependent reflectors or something?
by MathAndCode
August 18th, 2023, 3:23 pm
Forum: The Sandbox
Topic: Absolutely Useless Patterns Not Worthy Of Patterns Thread
Replies: 810
Views: 283205

Re: Absolutely Useless Patterns Not Worthy Of Patterns Thread

A switch engine made from three gliders can be stabilized earlier (in terms of when the fourth glider starts interacting) than one might think.

Code: Select all

x = 16, y = 24, rule = B3/S23
o$b2o$2o4$3bo$4b2o$3b2o2$10bobo$10b2o$11bo9$13b2o$13bobo$13bo!
There is also an intermediate fishhook.
by MathAndCode
August 18th, 2023, 12:01 pm
Forum: Patterns
Topic: Binary slow salvos
Replies: 258
Views: 64066

Re: Binary slow salvos

Mentioned in the RCT thread , I did a search to find 4-glider syntheses of glider producing switch engine s, with the condition that none of them produce any non-forward-facing gliders, and 1347 of them showed up. I'd guess this list is complete in terms of hitting a 3G unstable switch engine synth...
by MathAndCode
August 17th, 2023, 11:51 pm
Forum: Patterns
Topic: Thread for your fast components
Replies: 35
Views: 6516

Re: Thread for your fast components

Sure it is. I think the next step would be going for a 3o$o2bo$obo$bo! and a b3o$o2bo$obo$2o! but I have no clue how. The canoe at moth ( xs17_c48n9aczx23 ) synthesis labelled as #278 here consumes 13 gliders, five for the canoe and eight for the expensive moth. I managed to improve it slightly. x ...
by MathAndCode
August 17th, 2023, 11:09 pm
Forum: Patterns
Topic: Still Life Synthesis Thread
Replies: 520
Views: 167355

Re: Still Life Synthesis Thread

xs32_g88611688gz122cggx1iiczy23443 (a 32-cell lake) in 14G from soup, down from 24G. x = 237, y = 55, rule = B3/S23 97bobo$98b2o$98bo10$98bo$99b2o108bo$22bo75b2o110bo$20b2o186b3o$21b2o$ o$b2o210b2o$2o142bo68b2o$143bo$143b3o59bo15b2o$206bo13bo2bo$204b3o13b o2bo$218b2o4b2o$29b2o98b2o86bo8bo$28bo2bo96...
by MathAndCode
August 17th, 2023, 3:09 pm
Forum: Patterns
Topic: Synthesising Oscillators
Replies: 1746
Views: 1105550

Re: Synthesising Oscillators

Here is a way to make the canonical eater/block frob with eight gliders, tying it with the (previously uniquely) cheapest variant : x = 111, y = 23, rule = B3/S23 obo$2o$bo102bo$103bo$103b3o$93bo$93b3o$96bo$88bo6b2o$89bo$87b3o$103b3o $103bo$104bo$2b3o103b2o$2bo105bobo$3bo98b2o4bo$101b2o$103bo2$89b2o...
by MathAndCode
August 16th, 2023, 8:04 pm
Forum: General Discussion
Topic: Thread for basic questions
Replies: 4428
Views: 1180356

Re: Thread for basic questions

Are there any finite phoenixes where some of the deaths are from overpopulation? ( Venetian blinds is an infinite phoenix where all of the deaths are from overpopulation, but this cannot be the case for finite phoenixes because if the northernmost cell in the northeastern most diagonal dies from ove...
by MathAndCode
August 16th, 2023, 11:40 am
Forum: Patterns
Topic: Synthesising Oscillators
Replies: 1746
Views: 1105550

Re: Synthesising Oscillators

p30 LOM+block hassler in 20G. x = 143, y = 73, rule = B3/S23 130bo$130bobo$130b2o3$100bo$98bobo25bobo$99b2o25b2o$127bo$93bobo44bo$ 94b2o43bo$94bo44b3o$99bo$100bo$90bobo5b3o$91b2o48bo$91bo48bo$140b3o2$ 8bo$9b2o$8b2o36bo$45bo$45b3o7$2o98b2o$bo99bo$bobo97bobo$2b2o98b2o6$127b 2o$127bobo$129bo$129b2o13$...
by MathAndCode
August 15th, 2023, 8:11 pm
Forum: Patterns
Topic: Synthesising Oscillators
Replies: 1746
Views: 1105550

Re: Synthesising Oscillators

Obscure p8 variant in 27G (assuming 18G xs22_2eg8o1vgc453 ), based on a final step found by mvr: x = 160, y = 19, rule = B3/S23 96bo$97b2o49bo$bo55bo38b2o17bo33bo8bo$2bo9bo42b3o55b3o31b3o6b3o$3o7b3o 41bo57bo42bo$9bo45bo37bo19bo42bo$10bo39b2o2b2o38bo13b2o2b2o37b2o2b2o$ 9b2o39b2o6bo33b3o13bobo5bo34bo...
by MathAndCode
August 15th, 2023, 6:02 pm
Forum: Patterns
Topic: Still Life Synthesis Thread
Replies: 520
Views: 167355

Re: Still Life Synthesis Thread

I was trying to complete a partial hook with tail→long ship converter and found a way of perturbing a grate to make something that almost stabilizes. x = 13, y = 12, rule = B3/S23 3o$o2bo$2ob2o2$8b2o$9bo$9bob2o$10bobo$5b3o$4bo$4bo$6bo! #C [[ STOP 23 ]] Can it be stabilized into a still-life? Edit: H...
by MathAndCode
August 14th, 2023, 8:17 pm
Forum: Patterns
Topic: Thread for your fast components
Replies: 35
Views: 6516

Re: Thread for your fast components

But wait, they are compatible with another fast component! x = 430, y = 176, rule = B3/S23 60bo119bo119bo119bo$60bobo117bobo117bobo117bobo$6bobo51b2o64bobo51b2o 64bobo51b2o64bobo51b2o$7b2o12bo105b2o12bo105b2o12bo105b2o12bo$7bo11bob o105bo11bobo105bo11bobo105bo11bobo$20b2o39bo78b2o39bo78b2o39bo78b2o...
by MathAndCode
August 14th, 2023, 8:01 pm
Forum: Patterns
Topic: Synthesising Oscillators
Replies: 1746
Views: 1105550

Re: Synthesising Oscillators

Two blonkers can support a p18 reaction in jslife/osc-supported. x = 11, y = 30, rule = B3/S23 8bo$8bo$8bo$2b3obo$3bob2o$2b2obo$2bo2bo$b2obo$2bo$2b2o$2b2o$2b2o2$5b2o 2b2o$4bo2bob2o$2o3b2o$2o2$7b2o$7bo$9bo2$7bobo$6b2o$3b2ob2o2$3bo4bo$2bo 5bo$2b2o3bo$2b2o! I have synthesized it. x = 1678, y = 60, rul...
by MathAndCode
August 14th, 2023, 1:17 am
Forum: The Sandbox
Topic: Thread for your unusual catalyses
Replies: 91
Views: 14134

Re: Thread for your unusual catalyses

The block performs an unusual catalysis just after forming.

Code: Select all

x = 10, y = 24, rule = B3/S23
6bo$7b2o$6b2o3$2bo$3bo$b3o3b2o$8b2o$7bo12$bo$b2o$obo!
by MathAndCode
August 14th, 2023, 1:16 am
Forum: The Sandbox
Topic: Banned (Game)
Replies: 125
Views: 20734

Re: Banned (Game)

pcallahan wrote:
August 13th, 2023, 1:29 pm
Banned for distorting the aspect ratio of life cells.
banned for distorting the shapes of cells via the creation of moats that Conway never specified⸮
by MathAndCode
August 13th, 2023, 1:32 am
Forum: Patterns
Topic: Thread for your fast components
Replies: 35
Views: 6516

Re: Thread for your fast components

Would it be possible to attach R-loaf/wing or R-mango/dove this way? I know of a way for a wing but not a dove. x = 1516, y = 132, rule = B3/S23 7bo111bo100bobo2bo95bobo677bo98bobo101bo$5bobo109b2o101b2o3bobo93b2o679b o98b2o6bo95b2o$6b2o106bo3b2o101bo3b2o95bo677b3o13bo84bo8b2o92b2o18bo$ 112b2o115b2...
by MathAndCode
August 12th, 2023, 6:58 pm
Forum: Patterns
Topic: The Hunting of the Elementary Conduits
Replies: 798
Views: 383498

Re: The Hunting of the Elementary Conduits

Oops! I meant are there any R-G conduits which can be connected to HRx65R and have a repeat time of 61 or below? I posted all of the R→Gs that I know of in an attachment to a recent post , clearly separated from the other conduits. Here are the ones with a repeat time of at most 61; I'll let you ch...
by MathAndCode
August 12th, 2023, 6:31 pm
Forum: Patterns
Topic: Synthesising Oscillators
Replies: 1746
Views: 1105550

Re: Synthesising Oscillators

Snakes on heart ( xp5_kc0v17acoz110c95d11 ) in 12G: x = 36, y = 36, rule = B3/S23 33bobo$33b2o$34bo4$32bo$30b2o$31b2o5$33bobo$19b2o12b2o$19b2o13bo4$14b 2o$14b2o$23bo5b2o$22bobo3b2o$21bo2bo5bo$22b2o4$22bo$21b2o$7bo13bobo$7b 2o$6bobo$2o11b2o$b2o11b2o$o12bo! I found a niche fast component to make a sh...
by MathAndCode
August 6th, 2023, 12:49 pm
Forum: Patterns
Topic: Still Life Synthesis Thread
Replies: 520
Views: 167355

Re: Still Life Synthesis Thread

xs28_39c8a6z2552s0cczw321 in 30G if I counted correctly: x = 1315, y = 57, rule = B3/S23 799bo$799bobo$799b2o102bo$904bo$902b3o$917bo190bo$192bo723bo191bobo97b o$193bo722b3o189b2o97bo$191b3o1013b3o$893b2o98b2o98b2o$892bo2bo96bo2bo 96bo2bo$892bobo97bobo97bobo$893bo99bo16b2o81bo16b2o84b2o98b2o$290bo ...
by MathAndCode
August 5th, 2023, 8:11 pm
Forum: Patterns
Topic: The Hunting of the Elementary Conduits
Replies: 798
Views: 383498

Re: The Hunting of the Elementary Conduits

HLx81B, not great clearance but it still can be useful. x = 30, y = 32, rule = LifeHistory 13.A$12.A.A$12.A.A$10.3A.2A$9.A4.B$10.3AB2AB3.2B$12.A.2AB.5B$5.A10.7B $5.3A8.7BD$8.A7.6B3D$7.2A3.B3.5B2DBDB$7.8B.10B.2B$9.19B2A$9.17B.B2A$8. 18B2.B$6.20B$4.22B$4.2BC18B$3.3BCBC15B$4.2B3C15B$3.5BC14B$2.10B.9B$...
by MathAndCode
August 2nd, 2023, 12:45 pm
Forum: The Sandbox
Topic: Thread for your unusual catalyses
Replies: 91
Views: 14134

Re: Thread for your unusual catalyses

Here is an unusual fishhook catalysis:

Code: Select all

x = 11, y = 10, rule = B3/S23
2o$bo$bobo$2b2o$5bo$5bo$5bo$6b2o$10bo$8b2o!
by MathAndCode
July 31st, 2023, 11:03 pm
Forum: Patterns
Topic: Synthesis components
Replies: 193
Views: 51287

Re: Synthesis components

Tinkering with this a bit more, I came up with a 4-glider feather-to-block converter, and one incomplete (and probably difficult to complete) more exotic converter: x = 138, y = 43, rule = B3/S23 11bo$10bo$5bobobb3o$6boo$6bo9boo18boo$10bo6bo19bo$9bobobb3o11boobobb3o $5bobbobb4o13boob4o$3bobobboo$4b...
by MathAndCode
July 31st, 2023, 1:35 am
Forum: Patterns
Topic: Thread for your fast components
Replies: 35
Views: 6516

Re: Thread for your fast components

It turns out that the 4-glider reaction responsible for the upper long snake motif can be substituted for one making a long long snake instead. There are two available 4G routes, one employing a octohash seed and the other a spark-search.py result; the former is preferred for having two stages and ...