Cellular automaton patterns

Sawtooth (cellular automaton)

In a cellular automaton, a finite pattern is called a sawtooth if its population grows without bound but does not tend to infinity. In other words, a sawtooth is a pattern with population that reaches new heights infinitely often, but also infinitely often drops below some fixed value. Their name comes from the fact that their plot of population versus generation number looks roughly like an ever-increasing sawtooth wave. (Wikipedia).

Sawtooth (cellular automaton)
Video thumbnail

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

Video thumbnail

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

Video thumbnail

Motorolla Cell Phone: Equipment Autopsy #35

Chris and Dan autopsy an old Motorola cellular phone.

From playlist Equipment Autopsies

Video thumbnail

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

Video thumbnail

Linear Desface

Here we show a quick way to set up a face in desmos using domain and range restrictions along with sliders. @shaunteaches

From playlist desmos

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

Searching for a 3D Cellular Automaton - Live from the Wolfram Summer School

Stephen goes on a hunt in the computational universe for interesting cellular automata live at the Wolfram Summer School. For upcoming live streams by Stephen Wolfram, please visit: http://www.stephenwolfram.com/livestreams/

From playlist Stephen Wolfram Livestreams

Video thumbnail

What We've Learned from NKS Chapter 10: Processes of Perception and Analysis

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

Video thumbnail

Quick Look at Google Voice Apps for iOS

Apple recently approved several Google Voice apps on the App Store. We explain why that's rad.

From playlist Quick Looks

Related pages

Sawtooth wave | Elementary cellular automaton | Still life (cellular automaton) | Rule 90 | Conway's Game of Life | Replicator (cellular automaton) | Cellular automaton | Highlife (cellular automaton) | Self-similarity | Gould's sequence