Search found 5285 matches

by MathAndCode
October 24th, 2026, 11:59 pm
Forum: Patterns
Topic: Synthesising Oscillators
Replies: 2544
Views: 1501527

Re: Synthesising Oscillators

Current synthesis:

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xp4_178cw8o0o8wc871zy0or1x1ro costs 16 gliders (true).
#CLL state-numbering golly
x = 239, y = 31, rule = B3/S23
87bo$88b2o$87b2o$189bobo$190b2o$190bo3$205b2o$138bo3b3o59bo2bo$52b
o86b2o63bo2bo9bo$51bo86b2o65b2o11b2o16bobo ...
by MathAndCode
October 23rd, 2026, 11:59 am
Forum: Patterns
Topic: Thread for your unsure discoveries
Replies: 4107
Views: 1930902

Re: Thread for your unsure discoveries

Termite wrote: October 17th, 2026, 2:42 pmthe start has a population of 24 and a bounding box of 15 x 10.=
I reduced the initial population and the bounding box at the cost of one generation of lifetime.

Code: Select all

x = 15, y = 7, rule = B3/S23
o13bo$b5o3b5o3$7bo$7bo$6b2o!
by MathAndCode
October 23rd, 2026, 12:57 am
Forum: Patterns
Topic: Still Life Synthesis Thread
Replies: 1205
Views: 389691

Re: Still Life Synthesis Thread

The syringe weld can be cheapened by one glider by making a hook with a glider and a blinker instead of with a glider and an LWSS.
x = 1324, y = 60, rule = B3/S23
1137bo$1135b2o$1136b2o2$1096bo$1097b2o$1096b2o2$1086bobo3bo$1087b2o4b
2o42bo$1087bo4b2o41b2o$1136b2o4$1141bo$1142b2o$1141b2o$142bo ...
by MathAndCode
October 22nd, 2026, 4:06 am
Forum: Patterns
Topic: Still Life Synthesis Thread
Replies: 1205
Views: 389691

Re: Still Life Synthesis Thread

I did my usual (improvement, staging, and finding fast components).
x = 828, y = 503, rule = B3/S23
257bo$255b2o$256b2o6$51bo$51bobo$51b2o$362bo$360bobo$361b2o22$617bo$617b
obo$617b2o4$213bo$212bobo$212bobo$213bo$608bo$208b2o7b2o189b2o198bo$207b
o2bo5bo2bo187bo2bo197bo$208b2o7b2o161bo27b2o$381bo ...
by MathAndCode
October 21st, 2026, 11:07 pm
Forum: Patterns
Topic: Synthesising every natural still life
Replies: 75
Views: 3553

Re: Synthesising every natural still life

xs24_cc0s2pb8ozbdw1 in 11G. I'm amused that the 1G "activation" step is literally in the one soup result
x = 365, y = 52, rule = B3/S23
277bo$275b2o$276b2o10$32b2o108b2o108b2o98b2o$33bo109bo109bo99bo$33bob
2o106bob2o106bob2o96bob2o$32b2o2bo105b2o2bo105b2o2bo95b2o2bo$32bo2bo106b
o2bo106bo2bo95bo3bo ...
by MathAndCode
October 20th, 2026, 10:32 pm
Forum: Patterns
Topic: Synthesising every natural still life
Replies: 75
Views: 3553

Re: Synthesising every natural still life

xs30_69baab9qb96zx33 in 14G:

x = 184, y = 132, rule = B3/S23
bo$2bo$3o4$49bo$50bo$48b3o24$44bo$45bo$43b3o9$183bo$181b2o$182b2o6$175b
o$175bobo$175b2o8$168bobo$168b2o$153bo15bo$151b2o$152b2o22$143bo$143b
obo$143b2o3$112bo$110bobo$111b2o15$104bo$103bobo$102bo2bo$103b2o12$152b
2o$152bobo$152bo3 ...
by MathAndCode
October 19th, 2026, 2:53 am
Forum: Patterns
Topic: Synthesising every natural still life
Replies: 75
Views: 3553

Re: Synthesising every natural still life



And another 3G to delete half the bakery. pretty sure cheaper should exist


2g to delete the half-bakery
x = 58, y = 73, rule = B3/S23
48bo$48bobo$48b2o2$53bo$52bo$52b3o3$12bo$10bobo$11b2o26$47b3o$47bo$48b
o7$7b2o$8b2o$7bo3$48bo$47b2o$19b2o26bobo$18bobo$20bo4$55b3o$55bo$43b3o
10bo$43bo$44bo7 ...
by MathAndCode
October 17th, 2026, 6:05 am
Forum: Patterns
Topic: Still Life Synthesis Thread
Replies: 1205
Views: 389691

Re: Still Life Synthesis Thread

Also, I found a couple of reactions that might yield variant still-lives (similarly to but not exactly the same as fast components). How useful do these look?
x = 66, y = 21, rule = B3/S23
3bobo5bo41bobo5bo$2bo4bo44bo4bo$bo9bo39bo9bo$8bo49bo$o6bo42bo6bo$17bo
$2bobo2b2o7bo35bobo2b2o ...
by MathAndCode
October 17th, 2026, 4:28 am
Forum: The Sandbox
Topic: Catalyses (Game)
Replies: 809
Views: 158901

Re: Catalyses (Game)



This shall be the next region. (Getting a ∏ output does not count for obvious reasons.) (It can be eaten with only eight cells.)
x = 10, y = 6, rule = B3/S23
3bo2bo$3bo2bo$3o4b3o2$bobo2bobo$bo6bo!

It collapsed on itself.
x = 18, y = 6, rule = B3/S23
7bo2bo$7bo2bo$2o2b3o4b3o2b2o$2o14b2o ...
by MathAndCode
October 15th, 2026, 2:43 am
Forum: The Sandbox
Topic: Catalyses (Game)
Replies: 809
Views: 158901

Re: Catalyses (Game)


eaten

x = 13, y = 12, rule = B3/S23
o2bo$bo2b4o$b2o4bo$2o2bo$2o4bo$ob6o$5b2o$o2b2obo2$11b2o$10bobo$10b2o!

next

x = 8, y = 6, rule = B3/S23
4bo$4bo$o2b3o$2o4bo$7bo$7bo!



I ate it.
x = 11, y = 9, rule = B3/S23
4bo$4bo$o2b3o$2o4bo$7bob2o$7bob2o2$2b2o$2b2o!
I then worried that maybe the ...
by MathAndCode
October 15th, 2026, 2:18 am
Forum: Patterns
Topic: Synthesising every natural still life
Replies: 75
Views: 3553

Re: Synthesising every natural still life

13G
x = 92, y = 103, rule = B3/S23
3bobo$4b2o$4bo$80bo$80bobo$80b2o$o$b2o$2o6bobo$9b2o$9bo2$88bo$86b2o$87b
2o51$53b2o$53bobo$2b3o48bo$4bo$3bo5$54bo$53b2o$53bobo2$63b3o$63bo$64b
o$22b3o$24bo$23bo9$90b2o$89b2o$91bo3$90bo$89b2o$89bobo$13b2o$14b2o$13b
o!



One of your gliders (the northern glider ...
by MathAndCode
September 22nd, 2026, 4:50 am
Forum: Patterns
Topic: Still Life Synthesis Thread
Replies: 1205
Views: 389691

Re: Still Life Synthesis Thread

However, I thought of an alternative path that might yield a cheaper method.
x = 1256, y = 71, rule = B3/S23
1203bobo$1204b2o$1204bo2$133bo1114bobo$132bo1115b2o$132b3o1114bo2$157b
o$156bo$156b3o4$18bo115bo$16b2o114b2o$17b2o114b2o$128bo$128bobo$128b2o
987bo$109b2o1005bo$109b2o802bo186bobo13b3o ...
by MathAndCode
September 20th, 2026, 4:24 pm
Forum: Patterns
Topic: Still Life Synthesis Thread
Replies: 1205
Views: 389691

Re: Still Life Synthesis Thread

I reduced the cost to 48 by using a fast component to add a block more efficiently.
x = 1340, y = 72, rule = B3/S23
685bo$683bobo517bobo$684b2o518b2o$742bo461bo$741bo199bobo$233bo507b3o
197b2o305bobo$232bo709bo305b2o$232b3o1014bo$1086bobo$257bo829b2o249bo$
256bo830bo249bo$256b3o740bobo335b3o ...
by MathAndCode
September 19th, 2026, 2:07 pm
Forum: Patterns
Topic: Still Life Synthesis Thread
Replies: 1205
Views: 389691

Re: Still Life Synthesis Thread



These are currently the only stable catalysts that are apart of an oscillator. If one is to finish one of these, an oscillator is more than likely synthesizable.
x = 115, y = 88, rule = B3/S23
8b2o16b2o3b2obo25b2o16bo27b2o2b2o$9bo16bo2bo2bob3o23b2o15bobobo2bo21b
2o3bo ...
by MathAndCode
September 18th, 2026, 4:47 am
Forum: Patterns
Topic: Still Life Synthesis Thread
Replies: 1205
Views: 389691

Re: Still Life Synthesis Thread

Completed:
x = 1119, y = 39, rule = B3/S23
79bobo193bo274bo$79b2o192bobo133bo138b2o39bo172bo45bo$22bo57bo80bo101b
o10b2o44bobo86bobo13bo112bo10b2o36bobo155bo14b2o45bo$22bobo45bo88bobo
102b2o54b2o83bo3b2o14bobo111bo48b2o153b2o16b2o44b3o$22b2o44bobo89b2o101b ...
by MathAndCode
September 17th, 2026, 8:34 pm
Forum: Patterns
Topic: Oscillator Discussion Thread
Replies: 6074
Views: 2545628

Re: Oscillator Discussion Thread

Do there exist compatible sparkers (including periods dividing 33 and sufficient clearance) to realize a repeat time=33 bumper from this reaction?
x = 35, y = 88, rule = B3/S23
16b2o$17bo$16bo$16b4o$14b2o4bo$13bo2b3obo$11bo2bobo$11b2obo2b3o$14bo$
14b2o$20b2o$20bo$21b3o$23bo$15bo$14bobo$14bo2bo ...
by MathAndCode
September 7th, 2026, 4:26 am
Forum: Other Cellular Automata
Topic: Larger Than Life rule: Marine
Replies: 29
Views: 8974

Re: Larger Than Life rule: Marine

I found a signal splitter. (It can also make two minnows or two squids.)
x = 55, y = 51, rule = R2,C2,S4,6-9,B6-8,N@03ddef
35b2o$35b2o$33b3ob2o$32b4o2b2o$31bob4ob3o$30b7o3bo$30b4o2bo2b3o$28b6o
2b2ob2o$28b2o2b6ob2o$30bo4b2o2b2o$30b3o6b2o$31b2ob6o$32b7o$34bo6$45b3o
$8b3o35b3o$8b3o32bo2bob3o$8b4o36b3o ...
by MathAndCode
September 5th, 2026, 10:12 pm
Forum: Patterns
Topic: Still Life Synthesis Thread
Replies: 1205
Views: 389691

Re: Still Life Synthesis Thread

An attempt at the "harder one" ( xs34_mk1f8bp6o8a6z1011343 ):
x = 654, y = 36, rule = B3/S23
79bobo$79b2o297bo$22bo57bo295bobo$22bobo45bo218bo87b2o$22b2o44bobo218b
obo$59bo9b2o3bo214b2o44bo44bobo14bobo$18bo41b2o11bo260bo46b2o14b2o$16b
2o41b2o12b3o210bo47b3o44bo16bo$17b2o265b2o45bo106bo ...
by MathAndCode
September 4th, 2026, 2:33 am
Forum: Patterns
Topic: Still Life Synthesis Thread
Replies: 1205
Views: 389691

Re: Still Life Synthesis Thread


Some progress on xs47_oe1e8z2fgjlmzwck542sgzw110oge21 , the catalyst from the p182 B-heptomino shuttle .
x = 277, y = 49, rule = B3/S23
26bo79bo79bo69bo$25bobo77bobo77bobo67bobo$25bobo77bobo77bobo67bobo$24b
2ob2o75b2ob2o75b2ob2o65b2ob2o$24bo79bo79bo69bo$25bob2o76bob2o76bob2o66b
ob2o ...
by MathAndCode
September 2nd, 2026, 5:49 am
Forum: Patterns
Topic: Still Life Synthesis Thread
Replies: 1205
Views: 389691

Re: Still Life Synthesis Thread


However, looking closely, your synthesis is invalid. Take a look at step 5:
x = 9, y = 10, rule = B3/S23
3b2o$4bo2bo$4bobobo$ob2o2bobo$2obobobo$5bo$5b2o$4b3o$4bo$5bo!


While that particular method is not valid, it turns out that that part of the synthesis can be improved. Specifically ...
by MathAndCode
August 21st, 2026, 5:08 am
Forum: Patterns
Topic: Thread for your unsure discoveries
Replies: 4107
Views: 1930902

Re: Queen Bee Shuttle with eater1s


Trans-Queen Bee Shuttle with eater1s
x = 24, y = 11, rule = B3/S23
22b2o$22bo$13bo6bobo$12b2o6b2o$11b2o4b2o$10b3o4b2o$11b2o4b2o$2b2o8b2o
$bobo9bo$bo$2o!
#C [[ GRID THEME BOOK ]]

Cis-Queen Bee Shuttle with eater1s
x = 24, y = 9, rule = B3/S23
13bo$12b2o$11b2o4b2o$10b3o4b2o$11b2o4b2o ...
by MathAndCode
August 21st, 2026, 4:48 am
Forum: Patterns
Topic: Thread For Your Useless Discoveries
Replies: 5197
Views: 2244447

Re: Thread For Your Useless Discoveries

The glider+beehive allision is used in the Silver reflector only requires seven cells.

Code: Select all

x = 12, y = 9, rule = DoubleB3S23
B8.A.A$.2B6.2A$.B8.A2$.2B$.AB$A.A$A.A$.A!
by MathAndCode
August 19th, 2026, 5:30 pm
Forum: The Sandbox
Topic: Catalyses (Game)
Replies: 809
Views: 158901

Re: Catalyses (Game)

Next:
x = 12, y = 7, rule = B3/S23
9b3o$5bo3bobo$o2b2obob4o$o2b2ob2o$o2b2obob4o$5bo3bobo$9b3o!


I got a ∏ output with the help of an unusual hook with tail catalysis.
x = 27, y = 31, rule = B3/S23
6bo$5bobo$5bobo$3b3ob2o$2bo$3b3ob2o$5bob2o6$24b3o$20bo3bobo$2b2o11bo2b
2obob4o$2bo12bo2b2ob2o ...
by MathAndCode
August 19th, 2026, 5:20 pm
Forum: Patterns
Topic: The Hunting of the New Herschel Conduits
Replies: 1449
Views: 1323640

Re: The Hunting of the New Herschel Conduits

Almost a L106 except the herschel can't escape. Maybe a different catalyst could help?

x = 23, y = 36, rule = LifeHistory
18.A$17.A.A$17.A.A$16.2A.3A$22.A$6.A9.2A.3A$5.A.A8.2A.A$6.A$11.3D$12.
D$10.3D8$C$C.C$3C$2.C7$11.D$10.3D$12.D2$16.A$15.A.A$15.A2.A$16.2A!


EDIT: added tub to try and kill ...
by MathAndCode
June 12th, 2026, 5:06 pm
Forum: Patterns
Topic: Thread For Your Useless Discoveries
Replies: 5197
Views: 2244447

Re: Thread For Your Useless Discoveries

It's also a spartan H-to-E - the E-to-H conduits I know about don't quite fit:
x = 29, y = 25, rule = LifeHistory
18.2A$18.2A14$C19.2E3.2A$C.C17.2E3.A.A$3C24.A$2.C24.2A4$9.3D$8.2D$9.2D
!



It also suggests a periodic H-to-E using a middleweight or half-middleweight sparker.
x = 8, y = 9, rule ...