Search found 778 matches

by PHPBB12345
October 15th, 2020, 6:18 am
Forum: Website Discussion
Topic: Pattern viewer for forum threads
Replies: 1733
Views: 438476

Re: Pattern viewer for forum threads

Suggestion: Margolus Generation (multi-state)
e.g. M0,8,4,3,2,5,9,7,1,6,10,11,12,13,14,15,3 is 3-state rule
by PHPBB12345
October 15th, 2020, 5:44 am
Forum: The Sandbox
Topic: Random posts
Replies: 5340
Views: 740127

Re: Random posts

Javascript agm: function agm(a,b){var c,max_diff=Infinity,diff;for(;;){diff=Math.abs(a-b);c=(a+b)/2;if(diff>=max_diff)return c;max_diff=diff;b=Math.sqrt(a*b);a=c;}} e.g. agm(1,2)=1.4567910310469068 PARI lambertw: W(y)=if(y<0,solve(x=-1,0,x*exp(x)-y),lambertw(y)) e.g. W(-1/4)=-0.357402956181388903068...
by PHPBB12345
August 9th, 2020, 9:12 am
Forum: The Sandbox
Topic: Rule Table Thread
Replies: 29
Views: 10162

Re: Rule Table Thread

7-state, whatever fractal generating rule #C Modulo2 x = 1, y = 1, rule = W90 o! @RULE Modulo3 @TABLE n_states:3 neighborhood:Moore symmetries:none var a={0,1,2} var b={a} var c={a} var d={a} var e={a} var f={a} var g={a} 0,a,0,b,c,d,e,f,g,g 0,a,g,b,c,d,e,f,0,g 0,a,1,b,c,d,e,f,1,2 0,a,2,b,c,d,e,f,2...
by PHPBB12345
August 1st, 2020, 6:58 pm
Forum: The Sandbox
Topic: Random posts
Replies: 5340
Views: 740127

Re: Random posts

Keiji wrote:
August 18th, 2010, 2:44 pm
calcyman wrote:
August 18th, 2010, 12:07 pm
And if you need help choosing a moderator at random, try the following procedure:
Or, just click this link.
http://www.randomnumbers.info/content/Download.htm
by PHPBB12345
August 1st, 2020, 6:19 pm
Forum: The Sandbox
Topic: Rule Table Thread
Replies: 29
Views: 10162

Re: Rule Table Thread

@RULE WireWorldVonNeumann WireWorldVonNeumann By Lode Vandevenne (2020): wireworld but with 4 instead of 8 neighbors @TABLE n_states:4 #0: bg, 1: head, 2: tail, 3" wire neighborhood:vonNeumann symmetries:permute #variables: anything (don't care) var xa = {0,1,2,3} var xb = {xa} var xc = {xa} var xd...
by PHPBB12345
July 23rd, 2020, 10:49 pm
Forum: The Sandbox
Topic: Random posts
Replies: 5340
Views: 740127

Re: Random posts

[An p23 pre-pulsar agar] x = 30, y = 26, rule = B3/S23:T30,26 3bo7bo6bo7bo$3bo7bo2$3bobo3bobo$3b3o3b3o$3b3o3b3o3$3b3o3b3o$3b3o3b3o$ 3bobo3bobo2$3bo7bo$3bo7bo6bo7bo$18bo7bo2$18bobo3bobo$18b3o3b3o$18b3o3b 3o3$18b3o3b3o$18b3o3b3o$18bobo3bobo2$18bo7bo! Can we stabilize it with something like half of a ...
by PHPBB12345
July 22nd, 2020, 2:06 am
Forum: The Sandbox
Topic: Random posts
Replies: 5340
Views: 740127

Sum of two squares

2 = 1^2 + 1^2 5 = 1^2 + 2^2 13 = 2^2 + 3^2 17 = 1^2 + 4^2 29 = 2^2 + 5^2 37 = 1^2 + 6^2 41 = 4^2 + 5^2 53 = 2^2 + 7^2 61 = 5^2 + 6^2 73 = 3^2 + 8^2 89 = 5^2 + 8^2 97 = 4^2 + 9^2 101 = 1^2 + 10^2 109 = 3^2 + 10^2 113 = 7^2 + 8^2 137 = 4^2 + 11^2 149 = 7^2 + 10^2 157 = 6^2 + 11^2 173 = 2^2 + 13^2 181 ...
by PHPBB12345
July 21st, 2020, 9:34 pm
Forum: The Sandbox
Topic: Random posts
Replies: 5340
Views: 740127

Finite fields

function umulmod(a, b, m) { var c = a >>> 16; a &= 65535; b >>>= 0; if (!m) throw RangeError("Division by zero"); c = ((b * c) % m) * 65536; return (a * b + c) % m; } function upowmod(a, b, m) { var c = 1; while (b) { if (b & 1) c = umulmod(a, c, m); b >>>= 1; a = umulmod(a, a, m); } return c; } fu...
by PHPBB12345
July 20th, 2020, 10:40 pm
Forum: The Sandbox
Topic: RLE copy/paste thread - PHPBB12345
Replies: 100
Views: 41879

Re: RLE copy/paste thread - PHPBB12345

x = 72, y = 72, rule = B3/S23 48b2o$48bobo$50bo$46b4ob2o$46bo2bobobo$51bobo$39b2o10bo2b2o$40bo9b2o4b o$40bobo9b5o$21bo19b2o9bo4b2o$21b3o23bo7b2o2bo$24bo21bobo7bob2o$10b2o 11b2o21bobo7bo$9bobo35bo7b2o$9bo8b2o$7b2ob4o4b2o$6bobobo2bo$6bobo$4b2o 2bo41bo5b2o$3bo4b2o38b3o5b2o$3b5o23b2o15bobo$b2o4bo10b3o1...
by PHPBB12345
July 15th, 2020, 12:32 am
Forum: The Sandbox
Topic: RLE copy/paste thread - PHPBB12345
Replies: 100
Views: 41879

Re: RLE copy/paste thread - PHPBB12345

Code: Select all

 x = 0, y = 0, rule = B1357/S1357
!
#C [[ TRACK 2 0 PASTEMODE 6 PASTEDELTA 2 0 PASTET EVERY 1 0 8192 PASTE o! ]]

Code: Select all

 x = 0, y = 0, rule = B1357/S02468
!
#C [[ TRACK 2 0 PASTEMODE 6 PASTEDELTA 2 0 PASTET EVERY 1 0 8192 PASTE o! ]]
by PHPBB12345
July 15th, 2020, 12:18 am
Forum: Other Cellular Automata
Topic: Thread For Your Unrecognised CA
Replies: 1994
Views: 647127

Re: Thread For Your Unrecognised CA

Any side rakes? x = 32, y = 26, rule = B2en3-ar/S23akny 16bo4bo4b2o$15bobo2bobo2bo2bo$15bobo2bobo2bo2bo2$15b16o$14bo16bo$31bo$ 15bo$27bo$17bo$19b2o$bo3bo14bo$obobobo13bo5bo$21bo4bo$bobobo14bo4bo$ 21bo$2b3o17bo$2b3o3$2b3o$b5o$b2ob2o$b2ob2o$b5o$2b3o! x = 43, y = 26, rule = B2en3-ar/S23akny 16bo4bo4b2...
by PHPBB12345
July 9th, 2020, 10:38 pm
Forum: The Sandbox
Topic: Random posts
Replies: 5340
Views: 740127

Re: Random posts

a(0)=2=1^0+1^0=1^0+2^0
a(1)=2=0^1+2^1=1^1+1^1
a(2)=25=0^2+5^2=3^2+4^2
a(3)=1729=1^3+12^3=9^3+10^3
a(4)=635318657=59^4+158^4=133^4+134^4.
a(5)>1.02*10^26 if exists
by PHPBB12345
July 6th, 2020, 8:03 pm
Forum: The Sandbox
Topic: Ultra-complex logic gates [GAME]
Replies: 24
Views: 2215

Re: Ultra-complex logic gates [GAME]

Hi! I don't have enough time to post a new logic gate, but here is the leaderboard: Moosey: 44 points PkmnQ, EvinZL, bubblegum: 18 points EDIT: Here is the new logic gate (Easy) RLE x = 62, y = 44, rule = WireWorld 2.C$.C.2C$2.B2.C$6.9C$4.C10.3C$3.C.2C3.C.C.C3.C$4.B2.C.C.3C4.C$7.C.C 2.C.C.C.C$8.C6....
by PHPBB12345
July 6th, 2020, 12:43 am
Forum: The Sandbox
Topic: Random posts
Replies: 5340
Views: 740127

Re: Random posts

Inverse(ProductLog(x)) = x*e^x
Inverse(ProductLog(e^x)) = x+ln(x)
Inverse(e^ProductLog(x)) = x*ln(x)
Inverse(e^ProductLog(ln(x))) = x^x
Inverse(x-ProductLog(e^x)) = x+e^x
by PHPBB12345
July 3rd, 2020, 9:28 pm
Forum: Patterns
Topic: Caterloopillar WIP (all speeds < c/4)
Replies: 156
Views: 163031

Re: Caterloopillar WIP (all speeds < c/4)

yujh wrote:
July 3rd, 2020, 9:25 pm
100c/9300 use in golly, not lv

Code: Select all

Incompleted RLE
by PHPBB12345
June 30th, 2020, 9:04 am
Forum: The Sandbox
Topic: Random posts
Replies: 5340
Views: 740127

Re: Random posts

http://oeis.org/A059923/b059923.txt
a(301)=221919095473636555373329715437350019059039490567200027801
a(302)=341500491935765796367892469244602929790811216765676371980
1.538851315191734898742089155195066817888240617677857278408^n
by PHPBB12345
June 29th, 2020, 9:23 pm
Forum: The Sandbox
Topic: Talk to Transformer
Replies: 174
Views: 30586

Re: Talk to Transformer

GUYTU6J wrote:
January 2nd, 2020, 2:01 am
What if we do calculus with T2T? I tried to put these into T2T but I cannot connect.

Code: Select all

Evaluate the following integrals.
    ∫xdx= (1/2)x²+C
    ∫cos xdx= sin x+C
    ∫e^{x}dx= e^{x}+C
    ∫1/(x)dx= ln x+C
    ∫e^{x}/xdx=
∫e^(x)/xdx=Ei(x)+C
by PHPBB12345
June 28th, 2020, 11:33 pm
Forum: Other Cellular Automata
Topic: Miscellaneous Discoveries in Other Cellular Automata
Replies: 2016
Views: 439455

Re: Miscellaneous Discoveries in Other Cellular Automata

Ok, here's a nice one x = 70, y = 20, rule = B2ekn3-aci4-antwy5-ar6-ek78/S1c2-i3-n4-ny5-jk6-e7c8 41b3o10b3o$41b3o10b3o$39b20o$39b20o$39b20o$19b3o19b3o10b3o$19b3o19b3o 10b3o$19b3o19b3o10b3o$19b3o19b3o10b3o$19b3o19b3o10b3o$19b3o19b3o10b3o$ b6o6bob13o13b3o10b3o$ob5o6b2ob12o13b3o10b3o$b6o6bob13o13b3o10...
by PHPBB12345
June 26th, 2020, 9:55 pm
Forum: The Sandbox
Topic: Random posts
Replies: 5340
Views: 740127

Re: Random posts

sqrt(2) = 5,18 (mod 23) sqrt(3) = 7,16 (mod 23) sqrt(2)+sqrt(3) = 2,11,12,21 (mod 23) sqrt(6) = 11,12 (mod 23) 2*sqrt(6) = 1,22 (mod 23) 5+2*sqrt(6) = 4,6 (mod 23) sqrt(5+2*sqrt(6)) = 2,11,12,21 (mod 23) 2^(1/3) = 16 (mod 23) 2^(1/4) = 8,15 (mod 23) 2^(1/5) = 6 (mod 23) 2^(1/6) = 4,19 (mod 23) 2^(1/...
by PHPBB12345
June 25th, 2020, 9:37 pm
Forum: Other Cellular Automata
Topic: LeapLife (B2n3/S23-q)
Replies: 796
Views: 71209

Re: LeapLife (B2n3/S23-q)

x = 36, y = 18, rule = B2n3/S23-q 12bo21bo$11bo21bo$11b3o19b3o7$4b2o20b2o$3bobo19bobo$3b2o20b2o$b2o20b2o $obo19bobo$2o20b2o$20b2o$19bobo$19b2o! Fuse: x = 152, y = 153, rule = B2n3/S23-q 150bo$149bo$149b3o7$142b2o$141bobo$141b2o$139b2o$138bobo$138b2o$136b2o $135bobo$135b2o$133b2o$132bobo$132b2o$130b...
by PHPBB12345
June 23rd, 2020, 1:59 am
Forum: The Sandbox
Topic: Random posts
Replies: 5340
Views: 740127

Re: Random posts

by PHPBB12345
June 22nd, 2020, 3:17 am
Forum: The Sandbox
Topic: Random posts
Replies: 5340
Views: 740127

Continued fraction repeated part

2 1,2 3 1,1,3 1,3 4 2,4 1,1,1,4 1,4 5 2,1,2,5 1,1,5 1,2,2,1,5 1,5 6 3,6 2,6 1,1,1,1,6 1,2,1,6 1,6 7 3,1,1,1,3,7 2,2,7 1,1,7 1,1,1,7 1,3,2,1,1,2,3,1,7 1,7 8 4,8 2,1,3,1,2,8 2,8 1,1,2,1,1,8 1,2,4,2,1,8 1,3,1,8 1,8 9 4,1,1,1,1,4,9 3,9 2,2,1,4,4,1,2,2,9 1,1,9 1,1,1,1,1,9 1,2,1,1,2,1,9 1,4,2,2,4,1,9 1,9...
by PHPBB12345
June 21st, 2020, 2:23 am
Forum: The Sandbox
Topic: Random posts
Replies: 5340
Views: 740127

Re: Random posts

Input:
sqrt(a+sqrt(b))=sqrt(x1)+sqrt(x2)
Solution:
x1=(a+sqrt(a^2-b))/2
x2=(a-sqrt(a^2-b))/2
by PHPBB12345
June 20th, 2020, 3:08 am
Forum: The Sandbox
Topic: Random posts
Replies: 5340
Views: 740127

Re: Random posts

Image