Cellular automaton rules

Von Neumann cellular automaton

Von Neumann cellular automata are the original expression of cellular automata, the development of which was prompted by suggestions made to John von Neumann by his close friend and fellow mathematician Stanislaw Ulam. Their original purpose was to provide insight into the logical requirements for machine self-replication, and they were used in von Neumann's universal constructor. Nobili's cellular automaton is a variation of von Neumann's cellular automaton, augmented with the ability for confluent cells to cross signals and store information. The former requires an extra three states, hence Nobili's cellular automaton has 32 states, rather than 29. Hutton's cellular automaton is yet another variation, which allows a loop of data, analogous to Langton's loops, to replicate. (Wikipedia).

Von Neumann cellular automaton
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The Genetics of Cellular Automata

When John von Neumann proposed cellular automata to investigate artificial life, he modeled the part that defines their behavior as a subsystem. This subsystem is embodied in the cellular automata rules. Researchers have investigated these rules throughout the decades to model not only art

From playlist Wolfram Technology Conference 2021

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Coding "Conway's Game of Life" Cellular Automaton in C++/ SFML

Coways Game of life is a very famous cellula automaton, created by John Conway. In this video, I implement it in C++ and SFML. ========= DOWNLOAD: https://github.com/Hopson97/CellularAutomaton/releases/tag/v1.1 SOURCE CODE: https://github.com/Hopson97/CellularAutomaton ========= RESOUR

From playlist Creating Cellular Automaton

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Frank Buss' Hexagonal Cellular Automaton

Frank Buss' Hex Cellular Automaton, initialized with a glider gun and a rake. http://www.frank-buss.de/automaton/hexautomaton.html Generated with Ready: http://code.google.com/p/reaction-diffusion/

From playlist Ready

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7.1: Cellular Automata - The Nature of Code

This video introduces the concepts and algorithms behind Cellular Automata. (If I reference a link or project and it's not included in this description, please let me know!) Read along: http://natureofcode.com/book/chapter-7-cellular-automata/ http://en.wikipedia.org/wiki/Cellular_autom

From playlist The Nature of Code: Simulating Natural Systems

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What We've Learned from NKS Chapter 2: The Crucial Experiment

In this episode of "What We've Learned from NKS", Stephen Wolfram is counting down to the 20th anniversary of A New Kind of Science with [another] chapter retrospective. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or th

From playlist Science and Research Livestreams

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History of Science and Technology Q&A (October 20, 2021)

Stephen Wolfram hosts a live and unscripted Ask Me Anything about the history of science and technology for all ages. Find the playlist of Q&A's here: https://wolfr.am/youtube-sw-qa Originally livestreamed at: https://twitch.tv/stephen_wolfram/ Outline of Q&A 0:00 Stream starts 1:41 S

From playlist Stephen Wolfram Ask Me Anything About Science & Technology

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Coding "Predator And Prey" Cellular Automaton in C++/ SFML

Thanks "Nimmy" from my discord server for the idea! Wanted to try something a bit different for a change, and here it is: A cellular automaton. ========= DOWNLOAD: https://github.com/Hopson97/CellularAutomaton/releases/ SOURCE CODE: https://github.com/Hopson97/CellularAutomaton =======

From playlist Creating Cellular Automaton

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Adam P. Goucher - Evolving Lifeforms on Lattices - G4G13 April 2018

In October 1970, Martin Gardner famously introduced the world to Conway's 'Game of Life', a simple set of rules exhibiting breathtaking emergent complexity. We explore a wide range of lattice-based rules which are more conducive to supporting rich interactions and biological processes such

From playlist G4G13 Videos

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What are Cellular Automata?

Cellular Automata are a fantastic demonstration of how a simple set of rules can elicit a complex emergent behaviour. In this video I show John Conway's Game Of Life implemented in quick and simple C++ at the command line. Github: https://github.com/OneLoneCoder/Javidx9/blob/master/Consol

From playlist Interesting Programming

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Cellular Automata Rule-Generating Polynomials

Cellular Automata rules are represented by integers where we encode the output of the function without knowing the details on how it might be implemented. The CellularAutomaton function in Mathematica only requires these integers, along with the values of r and k, to evolve rules for a giv

From playlist Wolfram Technology Conference 2022

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History of Science and Technology Q&A (October 6, 2021)

Stephen Wolfram hosts a live and unscripted Ask Me Anything about the history of science and technology for all ages. Originally livestreamed at: https://twitch.tv/stephen_wolfram/ Outline of Q&A 0:00 Stream starts 0:31 Stephen begins the stream 1:12 What does history have to say abou

From playlist Stephen Wolfram Ask Me Anything About Science & Technology

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Coding "Empire" Cellular Automaton in C++/SFML

This is a cellular automaton that I came up with. YouTube compression kinda ruins it, so I highly recommended you watch in highest quality you can, and also download the project to see it for yourself :) Source: https://github.com/Hopson97/Empire Download: https://drive.google.com/open?i

From playlist Creating Cellular Automaton

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Can An AI Heal This Image?👩‍⚕️

❤️ Check out Weights & Biases and sign up for a free demo here: https://wandb.com/papers ❤️ Their mentioned post is available here: https://wandb.ai/wandb/getting-started/reports/Debug-Compare-Reproduce-Machine-Learning-Models--VmlldzoyNzY5MDk?utm_source=karoly 📝 The paper "Self-Organisi

From playlist AI and Deep Learning - Two Minute Papers

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This Neural Network Regenerates…Kind Of 🦎

❤️ Check out Weights & Biases here and sign up for a free demo here: https://www.wandb.com/papers The shown blog post is available here: https://www.wandb.com/articles/visualize-xgboost-in-one-line 📝 The paper "Growing Neural Cellular Automata" is available here: https://distill.pub/202

From playlist AI and Deep Learning - Two Minute Papers

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Introduction to a Unified Model of Cellular Automata

This is an introduction to a unified model of Cellular Automata in which a rule is represented not by a single function but by a vector of functions we call genes. These functions can be ordered so that they maintain the same order regardless of the rule space where they are realized. This

From playlist Wolfram Technology Conference 2022

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History of Science and Technology Q&A (July 28, 2021)

Stephen Wolfram hosts a live and unscripted Ask Me Anything about the history of science and technology for all ages. Originally livestreamed at: https://twitch.tv/stephen_wolfram/ Outline of Q&A 0:00 Stream starts 2:07 Stephen begins the stream 2:24 Can you tell about the history of the

From playlist Stephen Wolfram Ask Me Anything About Science & Technology

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Laurent Bartholdi: Amenable groups - Lecture 2

Abstract: I shall discuss old and new results on amenability of groups, and more generally G-sets. This notion traces back to von Neumann in his study of the Hausdorff-Banach-Tarski paradox, and grew into one of the fundamental properties a group may / may not have -- each time with import

From playlist Mathematical Aspects of Computer Science

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7.2: Wolfram Elementary Cellular Automata - The Nature of Code

This video covers the basics of Wolfram's elementary 1D cellular automaton. (If I reference a link or project and it's not included in this description, please let me know!) Read along: http://natureofcode.com/book/chapter-7-cellular-automata/#chapter07_section2 A New Kind of Science: h

From playlist The Nature of Code: Simulating Natural Systems

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Coding Wireworld Cellular Automaton in C++/SFML

Hello everybody! This time, I will be creating Wire World, which is little bit different than some of the other cellular automatons i have made, but still quite cool none the less :) Hope you enjoy! ========= DOWNLOAD: https://github.com/Hopson97/CellularAutomaton/releases/ SOURCE CODE:

From playlist Creating Cellular Automaton

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What We've Learned from NKS Chapter 5: Two Dimensions and Beyond

In this episode of "What We've Learned from NKS", Stephen Wolfram is counting down to the 20th anniversary of A New Kind of Science with [another] chapter retrospective. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or th

From playlist Science and Research Livestreams

Related pages

Bifurcation theory | Von Neumann neighborhood | Conway's Game of Life | Parity (mathematics) | Von Neumann universal constructor | Wireworld | Self-replicating machine | Langton's loops | Codd's cellular automaton | John von Neumann | Stanislaw Ulam