Cellular automaton rules

Conway's Game of Life

The Game of Life, also known simply as Life, is a cellular automaton devised by the British mathematician John Horton Conway in 1970. It is a zero-player game, meaning that its evolution is determined by its initial state, requiring no further input. One interacts with the Game of Life by creating an initial configuration and observing how it evolves. It is Turing complete and can simulate a universal constructor or any other Turing machine. (Wikipedia).

Conway's Game of Life
Video thumbnail

Game of Life: Logic gates

The logic gates NOT, AND and OR in the Game of Life. The Game of Life is a cellular automaton invented by John Conway in the late 1960s. I write about it in my book Alex Through the Looking-Glass: How Life Reflects Numbers and Numbers Reflect Life: http://www.amazon.co.uk/dp/1408817772

From playlist The Game of Life

Video thumbnail

Conway's Game of Life on a Torus

Conway's Life rule is often run on a flat grid with wrap-around. Here we do the same thing but with the sides joined together to make an actual 3D torus. Generated with open source software: http://code.google.com/p/reaction-diffusion/

From playlist Ready

Video thumbnail

Generalized Conway Game of Life - SmoothLifeC

with smooth time-stepping.

From playlist SmoothLife

Video thumbnail

Generalized Conway Game of Life - SmoothLifeY

with smooth time-stepping.

From playlist SmoothLife

Video thumbnail

Calm Programming - Conway's Game of Life

Turn on captions to see additional explanations. In this episode, I created the Conway's Game of Life cellular automata in Python. Chill programming. Play your favorite music while watching. Leave comments if you want me to add more captions explaining any part of the code. You can downloa

From playlist Calm Programming

Video thumbnail

Game of Life: Eater

The eater is a pattern in the Game of Life. See it devour some spaceships. The Game of Life is a cellular automaton invented by John Conway in the late 1960s. I write about it in my book Alex Through the Looking-Glass: How Life Reflects Numbers and Numbers Reflect Life: http://www.amazon

From playlist The Game of Life

Video thumbnail

Game of Life: R-pentomino

Hey, thanks for popping by! Check out the crazy behaviour of the R-pentomino, a pattern in the Game of Life. The Game of Life is a cellular automaton invented by John Conway in the late 1960s. I write about it in my book Alex Through the Looking-Glass: How Life Reflects Numbers and Numb

From playlist The Game of Life

Video thumbnail

Generalized Conway Game of Life - SmoothLifeB

with smooth time-stepping. Code available at sourceforge: http://sourceforge.net/projects/smoothlife/files/

From playlist SmoothLife

Video thumbnail

Game of Life: Gosper's breeder

Gosper's Breeder is a pattern in the Game of Life. The Game of Life is a cellular automaton invented by John Conway in the late 1960s. I write about it in my book Alex Through the Looking-Glass: How Life Reflects Numbers and Numbers Reflect Life: http://www.amazon.co.uk/dp/1408817772 Th

From playlist The Game of Life

Video thumbnail

Remembering John Conway - Full Video

Bay Area Artists and Mathematicians - BAAM! with Gathering 4 Gardner - G4G present Remembering John Conway Mathematician John Horton Conway died of COVID-19 on April 11, 2020. On April 25th, the Bay Area Artists and Mathematicians (BAAM!) hosted an informal Zoom session to share memories

From playlist Tributes & Commemorations

Video thumbnail

The Legendary John Conway (1937-2020) - Numberphile Podcast

We pay tribute to John Horton Conway - with clips from the man himself, plus contributions from Siobhan Roberts, David Eisenbud, Colm Mulcahy and Tony Padilla. Genius at Play by Siobhan Roberts - https://amzn.to/34ExQ4I John Conway Numberphile Playlist - https://www.youtube.com/playlist?

From playlist The Numberphile Podcast

Video thumbnail

Remembering John Conway - Part 3

Bay Area Artists and Mathematicians - BAAM! with Gathering 4 Gardner - G4G present Remembering John Conway Mathematician John Horton Conway died of COVID-19 on April 11, 2020. On April 25th, the Bay Area Artists and Mathematicians (BAAM!) hosted an informal Zoom session to share memories

From playlist Tributes & Commemorations

Video thumbnail

32: What is Life? The Amazing R.H. Conway - Richard Buckland UNSW

This is an extension lecture for interested students - nothing examinable, it's just for fun. Lecture 32 "Computing 2" Comp1927 (This upload attempts to fix the audio sync problem in my first attempt.)

From playlist CS2: Data Structures and Algorithms - Richard Buckland

Video thumbnail

A Tribute to Berlekamp, Conway, Guy, Graham, and Randi - G4G14 Apr 2022

In the long four years between G4G13 and G4G14, we lost some towering figures from the G4G community. It is hard for many of us to see how we can go on without them, but their legacy will live on. In this tribute session, we honor Elwyn Berlekamp, John Conway, Richard Guy, Ron Graham, and

From playlist G4G14 Videos

Video thumbnail

Remembering John Conway - Part 4

Bay Area Artists and Mathematicians - BAAM! with Gathering 4 Gardner - G4G present Remembering John Conway Mathematician John Horton Conway died of COVID-19 on April 11, 2020. On April 25th, the Bay Area Artists and Mathematicians (BAAM!) hosted an informal Zoom session to share memories

From playlist Tributes & Commemorations

Video thumbnail

Cambridge has a new mathsy train station

Cambridge North is the new train station in Cambridge which features a mathematical design. The architects said the design was "derived from John Conway's Game of Life". Except it's not the Game of Life. It is Stephen Wolfram's Rule 135. Find out more about Rule 135 (or Rule 30, which is

From playlist My Maths Videos

Video thumbnail

Remembering John Conway - Part 6

Bay Area Artists and Mathematicians - BAAM! with Gathering 4 Gardner - G4G present Remembering John Conway Mathematician John Horton Conway died of COVID-19 on April 11, 2020. On April 25th, the Bay Area Artists and Mathematicians (BAAM!) hosted an informal Zoom session to share memories

From playlist Tributes & Commemorations

Video thumbnail

Remembering John Conway - Part 7

Bay Area Artists and Mathematicians - BAAM! with Gathering 4 Gardner - G4G present Remembering John Conway Mathematician John Horton Conway died of COVID-19 on April 11, 2020. On April 25th, the Bay Area Artists and Mathematicians (BAAM!) hosted an informal Zoom session to share memories

From playlist Tributes & Commemorations

Video thumbnail

Generalization of Conway's Game of Life - SmoothLife - presentation

In this presentation I give a detailed description of how SmoothLife works. Everyone should be able to program it after that. Please use the pause function of the player to view the slides at your own speed. code available at sourceforge: http://sourceforge.net/projects/smoothlife/files/

From playlist SmoothLife

Related pages

Finite-state machine | Still life (cellular automaton) | Rule 90 | Undecidable problem | Replicator (cellular automaton) | Negation | Von Neumann universal constructor | Counter (digital) | Glider (Conway's Life) | Tetris | Möbius strip | Aperiodic tiling | Universal Turing machine | John Horton Conway | Oscillator (cellular automaton) | Lua (programming language) | Elementary cellular automaton | Life-like cellular automaton | Zero-player game | Logic gate | Go (game) | Methuselah (cellular automaton) | Gun (cellular automaton) | Logical disjunction | Breeder (cellular automaton) | Spaceship (cellular automaton) | Torus | Tessellation | John von Neumann | Moore neighborhood | Phase transition | Hashlife | Asymptotically optimal algorithm | Highlife (cellular automaton) | Constructive proof | Graph paper | Turing machine | Rake (cellular automaton) | Square tiling | Speed of light (cellular automaton) | Halting problem | Quadratic growth | Seeds (cellular automaton) | Golly (program) | Mathematical beauty | Emergence | Puffer train | Cellular automaton | Martin Gardner | Logical conjunction | Fractal | Pentomino | Algorithm | Stanislaw Ulam | Von Neumann neighborhood