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9
votes
2answers
769 views

Can you apply the Cellular Automata function to a grid containing numbers?

Im attempting to simulate a simple evacuation model using cellular automata theory.My study aims to determine whether Cellular Automata can effectively represent how people would behave in a fire ...
8
votes
2answers
986 views

Implementation of a new Game of Life Rule

I need to implement a new "game of life" in Mathematica: I have three states — black, red and white. Black means go forward, red go back and white take no action. I would like to implement the ...
7
votes
2answers
162 views

Is it possible to find a CellularAutomaton behind a sequence of 2D Tables

Maybe this is a hard question, maybe not. Whoever knows the answer can help me a lot starting working on CA theory. Let's suppose I have a sequence ...
6
votes
1answer
602 views

Game of Life in 3D

Is there a three-dimensional cellular automaton that in some sense generalizes Conway's Game of Life? If so, how might we use the CellularAutomaton command to ...
4
votes
3answers
253 views

Graph Coloring based on neighboring vertices? Cellular Automata

I would like to apply a majority rule cellular automata to graphs. Specifically, I would like to take a graph as input, and then define two functions, InitialColoring[graph] and MajorityRule[graph]. ...
3
votes
1answer
187 views

Cellular Automata Neighborhood as Node connections

Can I use the CellularAutomation[] function where the neighborhood is defined by the connections between nodes? For example, if 1 -> 2, 1 -> 3, 1 -> 8, 1 ->1, then the neighborhood of node 1 is the ...
3
votes
1answer
559 views

How can I forecast time series data with cellular automata?

I have a time series data, for example data = FinancialData["JK:ADRO", "July 16 2012"] Can I use CellularAutomaton to ...
3
votes
1answer
134 views

Using ParallelMap to run multiple Game of Life simulations simultaniously

My Assignment and Code As an exercise in Parallel computing I've been tasked with implementing Conway's GoL in a way such that at every iteration only a fraction of cells are updated. I'm then to run ...
2
votes
2answers
325 views

What does rule 30 mean in this example? [closed]

This starts with the list given, then evolves rule 30 for four steps. ...
2
votes
1answer
220 views

A Sierpinski-ish structure, via 2D automata

The project is originally based on a puzzle proposed by EIORU at http://www.ptt.cc/bbs/puzzle/M.1342451949.A.00F.html (若您懂得讀中文 / if anyone happen to read Chinese^^) last July. The descriptions, ...
2
votes
0answers
44 views

Issues reproducing reversible CA from NKS

I want to recreate the output of the reversible cellular automaton described in this page of the NKS book. The book specifies that this is a modified version of R214, where the new state (step+1) ...
2
votes
0answers
500 views

Is it possible to extract the rules of cellular automata as Mathematica code?

I would like to run cellular automata in the vertical direction if row index is greater than column index and in the horizontal direction if row index is less than column index, in a square array ...
1
vote
0answers
61 views

Computing Reversible CA with CellularAutomaton

This computes and plots 127 steps of the evolution of 150R (the reversible version of rule 150). ...
1
vote
0answers
50 views

How to create a cylinder with where the walls represent the output of a cellular automaton [duplicate]

So i'm trying to do this implementation of cellular automaton which replicates some random patterns generated by 3D printers like the ones below. I'd basically like to create a model which looks ...
0
votes
2answers
280 views

2D Cellular Automaton: Initial conditions

I'm trying to write in Mathematica for a 20x20 grid, with 100 colours, with 4 neighbours. I want the initial conditions to be a 20x20 matrix consisting mainly of zeros. ...