Cellular automaton rules

Cyclic cellular automaton

A cyclic cellular automaton is a kind of cellular automaton rule developed by and studied by several other cellular automaton researchers. In this system, each cell remains unchanged until some neighboring cell has a modular value exactly one unit larger than that of the cell itself, at which point it copies its neighbor's value. One-dimensional cyclic cellular automata can be interpreted as systems of interacting particles, while cyclic cellular automata in higher dimensions exhibit complex spiraling behavior. (Wikipedia).

Cyclic cellular automaton
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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 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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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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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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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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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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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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What We've Learned from NKS Chapter 11: The Notion of Computation

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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What We've Learned from NKS Chapter 3: The World of Simple Programs

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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What We've Learned from NKS Chapter 6: Starting from Randomness

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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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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Ville Salo: Nilpotent endomorphisms of expansive group actions

We say a pointed dynamical system is asymptotically nilpotent if every point tends to zero. We study group actions whose endomorphism actions are nilrigid, meaning that for all asymptotically nilpotent endomorphisms the convergence to zero is uniform. We show that this happens for a large

From playlist Dynamical Systems and Ordinary Differential Equations

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The Autonomic Nervous System: Sympathetic and Parasympathetic Divisions

We've learned quite a bit about the peripheral nervous system, which has a sensory division and a motor division. The latter is the one that tells the body what to do, and this is divided into the somatic nervous system, which involves voluntary motion, and the autonomic nervous system, wh

From playlist Anatomy & Physiology

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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

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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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History of Science and Technology Q&A (November 30, 2022)

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 If you missed the original livestream of thi

From playlist Stephen Wolfram Ask Me Anything About Science & Technology

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The Curtis-Hedlund-Lyndon Theorem | Nathan Dalaklis | math academic talks

This is the second seminar talk that I have given as a math phd student. It is an expository academic talk that I gave as a Math PhD student during my second semester of my second year in my PhD program. The talk concerns the Factors of Symbolic Dynamical Systems and is focused on the Curt

From playlist Academic Talks

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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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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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