Search found 1415 matches

by toroidalet
August 31st, 2023, 3:27 pm
Forum: Other Cellular Automata
Topic: Thread for basic non-CGOL questions
Replies: 925
Views: 281138

Re: Thread for basic non-CGOL questions

I've seen a lot of use of signal loops to prove that all periods exist above the loop mechanism's minimum period. Wouldn't you also need a signal delay mechanism so that some periods aren't skipped? If the spaceship or signal is symmetric or glide-reflective, we don't need a separate delay because ...
by toroidalet
August 31st, 2023, 3:45 am
Forum: Patterns
Topic: Thread For Your Accidental Discoveries
Replies: 2046
Views: 1412661

Re: Thread For Your Accidental Discoveries

Very nice! It implies this edgy 4-glider synthesis, though I don't know if that's an improvement: x = 26, y = 21, rule = B3/S23 12bo$11bo$11b3o2$bo$2bo$3o2$15b3o$15bo$16bo8$24b2o$23b2o$25bo! There may also be some fast components: x = 17, y = 15, rule = B3/S23 4bo$5b2o$5b2o$7b2o$8b2o$2b2o6bo$2bo8bo$...
by toroidalet
July 22nd, 2023, 3:01 pm
Forum: General Discussion
Topic: Unproven conjectures
Replies: 335
Views: 132330

Re: Unproven conjectures

B2a/S and B2c/S only have even-period oscillators, and B3i/S2i probably has only a p2 and p4. Finally, I think B2aci/S can only have oscillators of period 4n.
However, it seems very hard to prove non-omniperiodicity for all but the simplest rules. How would you prove that B3/S has no p1000 oscillator?
by toroidalet
July 21st, 2023, 10:14 pm
Forum: Patterns
Topic: (Engineered) diehards
Replies: 315
Views: 46976

Re: (Engineered) diehards

Alright, I give up. Loaf arithmetic completely stumps me. I can't even figure out that repeated 78. Anyway, another improvement thanks to calcyman's suggestion: x = 109, y = 91, rule = LifeSuper 18.8Q20.12Q4.5Q2.Q15.2M15.Q$19.Q4.Q22.Q3.2Q8.2Q.Q.4Q.Q13.2M8.2Q5.Q$ 41.2M4.Q4.2Q9.4Q27.Q2.Q4.Q$42.M4.2Q46...
by toroidalet
July 21st, 2023, 2:01 am
Forum: Patterns
Topic: (Engineered) diehards
Replies: 315
Views: 46976

Re: (Engineered) diehards

Another tiny improvement: x = 109, y = 91, rule = LifeSuper 18.8Q20.12Q4.5Q2.Q15.2M15.Q$19.Q4.Q22.Q3.2Q8.2Q.Q.4Q.Q13.2M8.2Q5.Q$ 41.2M4.Q4.2Q9.4Q27.Q2.Q4.Q$42.M4.2Q46.2Q8.2Q$42.M.M8.Q3.M24.2M21.Q.Q$ 43.2M3.Q.2Q.Q2.M25.2M22.Q$48.2Q6.3M3.2M$37.3O8.2Q12.2M21.2M8.M$28.2Q 6.3O46.2M6.3M4.2M$28.2Q13.pA9.3M3...
by toroidalet
July 19th, 2023, 3:02 am
Forum: Patterns
Topic: (Engineered) diehards
Replies: 315
Views: 46976

Re: (Engineered) diehards

Alright, now we have 633,254,105,373,391,511,862,848,046,372 (6.33*10^29) loaves: x = 111, y = 90, rule = LifeSuper 21.6Q23.8Q.Q$19.10Q21.2Q.Q.Q4.3Q24.2M15.Q$21.2Q2.2Q26.Q3.2Q28.2M8.2Q 5.Q$43.2M13.2Q2.Q33.Q2.Q4.Q$44.M12.Q39.2Q8.2Q$44.M.M5.2M4.Q.Q.Q21.2M 21.Q.Q$45.2M7.M29.2M22.Q$48.2M5.M8.2M$39.3O6.2...
by toroidalet
July 19th, 2023, 1:24 am
Forum: Patterns
Topic: (Engineered) diehards
Replies: 315
Views: 46976

Re: (Engineered) diehards

Just out of interest, what was the rationale for replacing a toad with a pair of mangoes? While they fit in the same space as a toad, the mangoes consume one more glider: x = 89, y = 41, rule = LifeSuper 58.M$58.M.M$58.2M5$58.M$56.2M$57.2M11$8.M29.M39.M$8.M.M27.M.M37.M.M$ 8.2M28.2M38.2M5$8.M29.M39....
by toroidalet
July 19th, 2023, 12:34 am
Forum: Other Cellular Automata
Topic: Rule request thread
Replies: 946
Views: 382993

Re: Rule request thread

Completed: @RULE honeyfarmer @TABLE n_states:3 neighborhood:Moore symmetries:rotate4reflect var a={1,2} var b=a var c=a var d=a var f={0,1,2} var g=f var h=f var i=f var j=f var k=f var l=f var m=f a,b,c,0,0,0,0,0,0,a a,b,0,c,0,0,0,0,0,a a,b,0,0,c,0,0,0,0,a a,b,0,0,0,c,0,0,0,a a,0,b,0,c,0,0,0,0,a a,...
by toroidalet
July 19th, 2023, 12:20 am
Forum: Patterns
Topic: Thread For Your Useless Discoveries
Replies: 4510
Views: 1749926

Re: Thread For Your Useless Discoveries

It's the wrong boat!

Code: Select all

x = 42, y = 34, rule = B3/S23
28b2o$28b2o10b2o$33b3o3bobo$32bo3bobobo$32b2ob2ob2o$27b2o$26bobo$25bob
o$24bobo$23bobo$22bobo$21bobo$20bobo$19bobo$18bobo$17bobo$16bobo$15bob
o$14bobo$13bobo$12bobo$11bobo$10bobo$9bobo$8bobo$7bobo$6bobo$5bobo$4bo
bo$3bobo$2bobo$bobo$obo$bo!
by toroidalet
July 19th, 2023, 12:14 am
Forum: Patterns
Topic: (Engineered) diehards
Replies: 315
Views: 46976

Re: (Engineered) diehards

Wow. Here's 5,233,505,003,085,880,263,329,322,673: x = 111, y = 90, rule = LifeSuper 21.6Q23.8Q.Q$19.10Q21.2Q.Q.Q4.3Q24.2M15.Q$21.2Q2.2Q26.Q3.2Q28.2M8.2Q 5.Q$43.2M13.2Q2.Q33.Q2.Q4.Q$44.M12.Q39.2Q8.2Q$44.M.M5.2M4.Q.Q.Q21.2M 21.Q.Q$45.2M7.M29.2M22.Q$48.2M5.M8.2M$39.3O6.2M5.M8.2M21.2M8.M$30.2Q 6.3O7.2M...
by toroidalet
July 18th, 2023, 1:17 am
Forum: Patterns
Topic: (Engineered) diehards
Replies: 315
Views: 46976

Re: (Engineered) diehards

3 more layers thanks to EvinZL's idea: x = 110, y = 90, rule = LifeSuper 6.2W.2W.W.W5.6Q23.8Q.Q$10.2W2.W3.10Q21.2Q.Q.Q4.3Q24.2M$6.W.W11.Q4.Q 26.Q3.2Q28.2M8.2Q4.3Q$9.3W30.2M13.2Q2.Q33.Q2.Q$9.2W2.3W27.M12.Q39.2Q 8.2Q$6.2W4.W.2W27.M.M6.M4.Q.Q.Q21.2M21.Q.Q$10.W2.W30.2M6.2M29.2M22.Q$ 6.W.W.W3.2W23.O7.2M4...
by toroidalet
July 15th, 2023, 5:34 pm
Forum: Patterns
Topic: POTY 2022 Voting Thread
Replies: 46
Views: 6501

Re: POTY 2022 Voting Thread

#01 *****
#02 *****
#03 ****
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#06 ***
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#09 *
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#18 *
#19 ****
#20 *
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#25 **
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#27 *
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#29 *****
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#32 ***
by toroidalet
July 9th, 2023, 5:13 pm
Forum: Patterns
Topic: Construction Challenges and Ideas
Replies: 68
Views: 11955

Re: Construction Challenges and Ideas

I think it would be easier to make something similar to the stable storage spaceship, where meta-gliders build the meta-version of the pattern and then lift the data tape into the meta-realm (metaverse?). So we would only directly construct a meta-gun that fires a glider pair like the one in the RCT...
by toroidalet
July 9th, 2023, 1:59 pm
Forum: Patterns
Topic: (Engineered) diehards
Replies: 315
Views: 46976

Re: (Engineered) diehards

One more layer! x = 107, y = 93, rule = LifeSuper 6.2W2.W6.6Q23.8Q.Q$3.W.W.2W.W4.10Q21.2Q.Q.Q4.3Q24.2M$17.Q4.Q26.Q3.2Q 28.2M8.2Q4.3Q$5.W2.W2.W27.2M13.2Q2.Q33.Q2.Q$5.2W2.2W.W27.M12.Q39.2Q8. 2Q$6.4W2.W27.M.M11.Q.Q.Q21.2M21.Q.Q$3.W2.W.W.W30.2M5.4M28.2M22.Q$5.W. W2.3W23.O10.4M9.2M$3.W.W2.W2.2W21.O2.O9.M...
by toroidalet
July 8th, 2023, 3:46 am
Forum: Other Cellular Automata
Topic: Rule request thread
Replies: 946
Views: 382993

Re: Rule request thread

Here's one I made last September:

Code: Select all

@RULE QuadlifeWithoutDeath
@TABLE
n_states:5
neighborhood:Moore
symmetries:permute
var a={1,2,3,4}
var b=a

0,a,a,b,0,0,0,0,0,a
0,1,2,3,0,0,0,0,0,4
0,1,2,4,0,0,0,0,0,3
0,1,3,4,0,0,0,0,0,2
0,2,3,4,0,0,0,0,0,1
It's very simple. You could have done it yourself.
by toroidalet
June 5th, 2023, 7:30 pm
Forum: Other Cellular Automata
Topic: Harvest Moon (B3-ckr5y/S2-i3-aek4ci5c)
Replies: 156
Views: 34764

Re: Harvest Moon (B3-ckr5y/S2-i3-aek4ci5c)

Here is a 10-glider slow salvo which makes a return glider for the top half: x = 338, y = 369, rule = B3-ckr5y/S2-i3-aek4ci5c 316bo$315bobo$314bobobo$313bobobobo$314bobobo$315bobo$316bo10$334bo$ 333bobo$332bobobo$289bo41bobobobo$288bobo41bobobo$287bobobo31b3o7bobo$ 286bobobobo32bo8bo$287bobobo32bo$2...
by toroidalet
June 2nd, 2023, 10:32 pm
Forum: Other Cellular Automata
Topic: HatLife
Replies: 20
Views: 2871

Re: HatLife

Is it possible for a rule in HatLife to have a single pattern that can have an arbitrarily long lifespan depending on where it is placed? One option would be to make a rule on the meta-tiles that scales itself up to meta-meta-tiles and so on until the final meta^n simulation discovers it is in a par...
by toroidalet
May 30th, 2023, 2:38 pm
Forum: Other Cellular Automata
Topic: OCA Discovery of the Year 2022 Nominations
Replies: 10
Views: 1501

Re: OCA Discovery of the Year 2022 Nominations

If nominations are still open, I would like to add one more: this 6803c/403840 diagonal spaceship by Dani (based on a rule by AforAmpere).
by toroidalet
May 29th, 2023, 11:06 pm
Forum: Other Cellular Automata
Topic: Harvest Moon (B3-ckr5y/S2-i3-aek4ci5c)
Replies: 156
Views: 34764

Re: Harvest Moon (B3-ckr5y/S2-i3-aek4ci5c)

Is there a 45-degree collision between a 6c/12o and a glider that produces a perpendicular glider? There are three, none of them clean: x = 89, y = 13, rule = B3-ckr5y/S2-i3-aek4ci5c 3bo21bo61bo$4bo21bo61bo$2b3o19b3o59b3o6$2b3o17bo59b3o$bo3bo17b3o55bo3b o$o4bo14bo4bo54bo4bo$3b3o15bo3bo57b3o$2bo19b3...
by toroidalet
May 24th, 2023, 1:30 am
Forum: Other Cellular Automata
Topic: Harvest Moon (B3-ckr5y/S2-i3-aek4ci5c)
Replies: 156
Views: 34764

Re: Harvest Moon (B3-ckr5y/S2-i3-aek4ci5c)

It is possible to produce two gliders on the same lane, but yikes! x = 1307, y = 1030, rule = B3-ckr5y/S2-i3-aek4ci5c 719bo$718bo$718b3o2$742bo$740b2o$741b2o35$678bo$677bobo$676bobobo$675b obobobo$676bobobo$677bobo$678bo6$692bo$691bobo$690bobobo$689bobobobo$ 690bobobo$691bobo$692bo5$647bo$646bobo$64...
by toroidalet
April 23rd, 2023, 2:04 am
Forum: General Discussion
Topic: Thread for basic questions
Replies: 4725
Views: 1219502

Re: Thread for basic questions

Is there a way to find out which part of a large (millions of cells across) pattern is running very slowly and causing difficulties for HashLife?
by toroidalet
April 20th, 2023, 3:57 am
Forum: General Discussion
Topic: Thread for basic questions
Replies: 4725
Views: 1219502

Re: Thread for basic questions

Is it possible to construct a pattern that has a growth rate asymptotic to O(t^sqrt(2)) or some other irrational number? Any Sierpinski triangle builder has a growth rate asymptotic to t^(log_2(3)). There are infinitely many generations for which the growth rate is exact (i.e. powers of 2), but I'm...
by toroidalet
April 20th, 2023, 2:58 am
Forum: The Sandbox
Topic: Rule Table Thread
Replies: 39
Views: 17407

Re: Rule Table Thread

I made a naive rule that simulates Life: @RULE cynicallife @TABLE n_states:7 neighborhood:Moore symmetries:none var a={0,1,2,3,4,5} var b={4,5} var c={0,1,2,3} var d=c var e=a var f=c var g=c var h=c var i={0,1} var j=i var k=i var l=i var m={0,2} var n=m var o=m var p=m var q={2,3} var r=q var s=q ...
by toroidalet
April 5th, 2023, 3:09 am
Forum: The Sandbox
Topic: Dueling Patterns (Game)
Replies: 57
Views: 1720

Re: Dueling Patterns (Game)

43 blocks and 35 blinkers, population 445: x = 186, y = 177, rule = B3/S23 79b2o$78bobo$78b2o15bo$95bo$95bo2$91b3o3b3o2$95bo19b2o$95bo19b2o$95bo$ 92bo28b2o$91bobo26bo2bo$91bobo27b2o$92bo3$96b2o$96b2o3$67bo$66bobo$66b obo$67bo5$74b2o$31b3o40b2o10b2o16b2o$49b3o34b2o16b2o3$43b3o7$56b2o$56b 2o24b2o$82b2...
by toroidalet
April 5th, 2023, 2:30 am
Forum: The Sandbox
Topic: Thread for your miscellaneous posts and discussions
Replies: 223
Views: 22304

Explanation of the new single-cell ship

Elsewhere , I posted the following rule, where a single cell is a spaceship: @RULE 1C3SShip2 @TABLE n_states:3 neighborhood:Moore symmetries:none #delay 2,0,0,0,0,0,1,0,0,1 1,0,0,0,0,0,1,0,0,0 2,0,0,0,0,0,2,0,0,1 1,0,0,0,0,0,2,0,0,0 0,2,1,2,2,0,0,0,1,2 #leftward expansion 0,0,0,1,0,0,0,0,0,2 0,0,0,...