Cellular automata

Elementary cellular automaton

In mathematics and computability theory, an elementary cellular automaton is a one-dimensional cellular automaton where there are two possible states (labeled 0 and 1) and the rule to determine the state of a cell in the next generation depends only on the current state of the cell and its two immediate neighbors. There is an elementary cellular automaton (rule 110, defined below) which is capable of universal computation, and as such it is one of the simplest possible models of computation. (Wikipedia).

Elementary 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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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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Cellular automata: emergence in not-so-complex systems

In this video we explore the concept of emergence through the lens of cellular automata. 00:00 Intro 02:13 Our model system, the cellular automaton 04:56 Visualizing automata through time 05:12 Types of automata, from periodicity to chaos 08:24 Looking for emergence in cellular automata

From playlist Summer of Math Exposition Youtube Videos

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7E The Elementary Matrix

The elementary matrix.

From playlist Linear Algebra

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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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Elementary matrices

In this tutorial we take a look at elementary matrices. They start life off as identity matrices to which a single elementary row operation is performed. They form the building blocks of Gauss-Jordan elimination. In a future video we will use the to do LU decomposition of matrices.

From playlist Introducing linear algebra

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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 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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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 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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Sabetta Matsumoto - Mobius Cellular Automata Scarves - G4G14 Apr 2022

In 2015, the third author launched a successful Kickstarter campaign to fund the purchase of an industrial knitting machine. The Kickstarter rewards were scarves, each procedurally knitted in a unique two-colour pattern: the output of a elementary cellular automaton. The scarves are double

From playlist G4G14 Videos

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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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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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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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What We've Learned from NKS Chapter 4: Systems Based on Numbers

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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Behind the Scenes Commentary for LiveCoding Challenge

Jesse provides live behind-the-scenes commentary of the LiveCoding competition from the Wolfram Summer School.

From playlist Stephen Wolfram Livestreams

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Systems of linear equations -- Elementary Linear Algebra

This lecture is on Elementary Linear Algebra. For more see http://calculus123.com.

From playlist Elementary Linear Algebra

Related pages

Rule 90 | Rule 110 | Mathematics | Rule 184 | Cellular automaton | Turing completeness | Wolfram code | Rule 30 | Pascal's triangle | Generating function