Question

Proof of the Curtis-Hedlund Theorem: Why is there a function $\mu\colon A^S\to A$ such that $\tau(x)(1_G)=\mu(x_{|S})$ for all $x\in A^G$?

score 232 · Answer 1 · 2014-12-26 09:45:44

Proof of the Curtis-Hedlund Theorem: Why is there a function $\mu\colon A^S\to A$ such that $\tau(x)(1_G)=\mu(x_{|S})$ for all $x\in A^G$?

score 31 · Answer 2 · 2015-01-02 15:57:06

31

Views

Why does follow that $\eta_n\to 0$ in distribution as $n\to\infty$?

Published on 02 Jan 2015 - 15:57

score 34 · Answer 3 · 2019-11-07 19:25:35

34

Views

Trouble understanding proof in "Aperiodicity in One-Dimensional Cellular Automata" paper by Erica Jen

Published on 07 Nov 2019 - 19:25

score 119 · Answer 4 · 2019-12-08 08:23:44

119

Views

Finding Life-Like Cellular Automata Rules and Initial States with Guaranteed Still End States

Published on 08 Dec 2019 - 8:23

score 76 · Answer 5 · 2019-12-08 22:00:55

76

Views

Prove that a recurrence for Rule 30 is: B2=MOD(A1+B1+(1+B1)*C1,2)

Published on 08 Dec 2019 - 22:00

score 126 · Answer 6 · 2019-12-09 23:19:09

126

Views

Are there any symmetries in rules of Life-Like Cellular Automata?

Published on 09 Dec 2019 - 23:19

score 84 · Answer 7 · 2019-12-10 00:09:23

84

Views

How does On/Off Reversal work in Life-Like Cellular Automata

Published on 10 Dec 2019 - 0:09

score 131 · Answer 8 · 2020-02-27 20:44:10

131

Views

Name of these Sierpinski-like fractals?

Published on 27 Feb 2020 - 20:44

score 1.4k · Answer 9 · 2020-04-04 03:21:54

1.4k

Views

Fractal Pattern from Queen's Move Construction

Published on 04 Apr 2020 - 3:21

score 200 · Answer 10 · 2020-04-17 03:05:16

Is there any 3D patterns, if we are to stack up each generation of "Conway's game of life" on top of each other?

score 48 · Answer 11 · 2020-04-19 16:08:36

48

Views

What is a periodic pattern in 1D Cellular Automata

Published on 19 Apr 2020 - 16:08

score 137 · Answer 12 · 2020-04-20 11:44:28

137

Views

Elementary cellular automaton showing eventually periodic behavior after large number of iterations.

Published on 20 Apr 2020 - 11:44

score 137 · Answer 13 · 2020-04-21 03:40:34

137

Views

A basic transition automaton of ECA 30

Published on 21 Apr 2020 - 3:40

score 100 · Answer 14 · 2020-05-21 14:15:42

100

Views

is it possible to embed a fractal inside another fractal

Published on 21 May 2020 - 14:15

score 576 · Answer 15 · 2020-06-07 11:13:33

576

Views

How to create a non-square 2D grid with spherical topology.

Published on 07 Jun 2020 - 11:13

List Question

Proof of the Curtis-Hedlund Theorem: Why is there a function $\mu\colon A^S\to A$ such that $\tau(x)(1_G)=\mu(x_{|S})$ for all $x\in A^G$?

Why does follow that $\eta_n\to 0$ in distribution as $n\to\infty$?

Trouble understanding proof in "Aperiodicity in One-Dimensional Cellular Automata" paper by Erica Jen

Finding Life-Like Cellular Automata Rules and Initial States with Guaranteed Still End States

Prove that a recurrence for Rule 30 is: B2=MOD(A1+B1+(1+B1)*C1,2)

Are there any symmetries in rules of Life-Like Cellular Automata?

How does On/Off Reversal work in Life-Like Cellular Automata

Name of these Sierpinski-like fractals?

Fractal Pattern from Queen's Move Construction

Is there any 3D patterns, if we are to stack up each generation of "Conway's game of life" on top of each other?

What is a periodic pattern in 1D Cellular Automata

Elementary cellular automaton showing eventually periodic behavior after large number of iterations.

A basic transition automaton of ECA 30

is it possible to embed a fractal inside another fractal

How to create a non-square 2D grid with spherical topology.

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