# conway

Published articles for conway.

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## Conway's Game of Life in Conway's Game of Life

DevFeed: [Conway's Game of Life in Conway's Game of Life](<https://devfeed.tech/articles/conway-s-game-of-life-in-conway-s-game-of-life-40246.md>)

Original publisher: [Read original article](<https://www.jeremykun.com/2011/11/03/conways-game-of-life-in-conways-game-of-life/>)

Published: 2011-11-03T17:48:30Z

Content type: opinion

Language: en

Sources: [Jeremy Kun](<https://devfeed.tech/sources/jeremy-kun.md>)

Topics: [implementation](<https://devfeed.tech/topics/implementation.md>)

Tags: [conway](<https://devfeed.tech/tags/conway.md>), [gallery](<https://devfeed.tech/tags/gallery.md>), [game](<https://devfeed.tech/tags/game.md>), [implementation](<https://devfeed.tech/tags/implementation.md>), [life](<https://devfeed.tech/tags/life.md>)

### AI overview

The article presents an implementation of Conway's Game of Life running within Conway's Game of Life. It notes that the demonstration does not establish the intended proof and may instead belong in a proof gallery.

### Source excerpt

Recalling our series on Conway's Game of Life, here is an implementation of Life within Life. Unfortunately, it does not "prove" what I hoped it might, so unless a reader has a suggestion on what this demonstration proves, it doesn't belong in the proof gallery. But it sure is impressive.

## Turing Machines and Conway's Dreams

DevFeed: [Turing Machines and Conway's Dreams](<https://devfeed.tech/articles/turing-machines-and-conway-s-dreams-40215.md>)

Original publisher: [Read original article](<https://www.jeremykun.com/2011/06/30/turing-machines-and-conways-dreams/>)

Published: 2011-06-30T20:50:04Z

Content type: tutorial

Language: en

Sources: [Jeremy Kun](<https://devfeed.tech/sources/jeremy-kun.md>)

Topics: [Automaton](<https://devfeed.tech/topics/automaton.md>)

Tags: [cellular](<https://devfeed.tech/tags/cellular.md>), [cellular-automata](<https://devfeed.tech/tags/cellular-automata.md>), [computability-theory](<https://devfeed.tech/tags/computability-theory.md>), [computational-complexity](<https://devfeed.tech/tags/computational-complexity.md>), [conway](<https://devfeed.tech/tags/conway.md>), [infinite](<https://devfeed.tech/tags/infinite.md>), [life](<https://devfeed.tech/tags/life.md>), [mathematics](<https://devfeed.tech/tags/mathematics.md>), [patterns](<https://devfeed.tech/tags/patterns.md>), [period](<https://devfeed.tech/tags/period.md>), [programming](<https://devfeed.tech/tags/programming.md>), [recursion](<https://devfeed.tech/tags/recursion.md>), [theory](<https://devfeed.tech/tags/theory.md>), [turing-machine](<https://devfeed.tech/tags/turing-machine.md>), [turing-machines](<https://devfeed.tech/tags/turing-machines.md>)

### AI overview

The article examines Conway's Game of Life patterns that do not stabilize, including Gosper's glider gun and puffers that produce continuing activity. It connects these patterns to computability, explaining that infinite looping is necessary for Turing-complete computation.

### Source excerpt

Additional Patterns Last time we left the reader with the assertion that Conway's game of life does not always stabilize. Specifically, there exist patterns which result in unbounded cell population growth. Although John Conway's original conjecture was that all patterns eventually stabilize (and offered $50 to anyone who could provide a proof or counterexample), he was proven wrong. Here we have the appropriately named glider gun, whose main body oscillates, expelling a glider once per period.

## Introduction to Cellular Automata

DevFeed: [Introduction to Cellular Automata](<https://devfeed.tech/articles/the-wild-world-of-cellular-automata-40214.md>)

Original publisher: [Read original article](<https://www.jeremykun.com/2011/06/29/conways-game-of-life/>)

Published: 2011-06-29T21:08:45Z

Content type: tutorial

Language: en

Sources: [Jeremy Kun](<https://devfeed.tech/sources/jeremy-kun.md>)

Topics: [Cellular automaton](<https://devfeed.tech/topics/cellular-automaton.md>), [Automaton](<https://devfeed.tech/topics/automaton.md>), [Finite-state machine](<https://devfeed.tech/topics/finite-state-machine.md>)

Tags: [cellular-automata](<https://devfeed.tech/tags/cellular-automata.md>), [computability-theory](<https://devfeed.tech/tags/computability-theory.md>), [conus](<https://devfeed.tech/tags/conus.md>), [conway](<https://devfeed.tech/tags/conway.md>), [life](<https://devfeed.tech/tags/life.md>), [mathematica](<https://devfeed.tech/tags/mathematica.md>), [mathematics](<https://devfeed.tech/tags/mathematics.md>), [patterns](<https://devfeed.tech/tags/patterns.md>), [programming](<https://devfeed.tech/tags/programming.md>), [rules](<https://devfeed.tech/tags/rules.md>), [simulation](<https://devfeed.tech/tags/simulation.md>), [turing-machine](<https://devfeed.tech/tags/turing-machine.md>)

### AI overview

An introductory tutorial on cellular automata, explaining cells, states, transition rules, simultaneous updates, and a one-dimensional binary example.

### Source excerpt

Cellular Automata There is a long history of mathematical models for computation. One very important one is the Turing Machine, which is the foundation of our implementations of actual computers today. On the other end of the spectrum, one of the simpler models of computation (often simply called a system) is a cellular automaton. Surprisingly enough, there are deep connections between the two. But before we get ahead of ourselves, let's see what these automata can do.