Cellular Automata

9
Abhranil Das 1 st year, IISER Kolkata

description

On cellular automata, which are artificial systems that develop according to simple rules, but sometimes amazingly emulate nature and life.

Transcript of Cellular Automata

Page 1: Cellular Automata

Abhranil Das

1st year, IISER Kolkata

Page 2: Cellular Automata

Definition

adj. consisting of or containing a cell or cells

  n. pl. au·tom·a·tons or au·tom·a·ta

1. A self-operating machine or mechanism, especially a robot.

2. One that behaves or responds in a mechanical way.

cel·lu·lar au·tom·a·ton

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Definition

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John Conway

Born in 1973 in England, inventor of the Game of Life. Currently Professor of Mathematics, Princeton University.

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The Game of Life1. Any live cell with one or zero

neighbours dies from underpopulation.

2. Any live cell with four or more neighbours dies from overcrowding.

3. Any live cell with two or three neighbours stays alive.

4. Any blank cell with exactly three live neighbours becomes a new live cell.

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The Game of Life1. Any live cell with one or zero

neighbours dies from underpopulation.

2. Any live cell with four or more neighbours dies from overcrowding.

3. Any live cell with two or three neighbours stays alive.

4. Any blank cell with exactly three live neighbours becomes a new live cell.

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Common ObjectsBlock (still life)

Blinker (2-phase oscillator)

Glider (continuous progress)

r-pentomino

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The Termite Automaton1. Each termite moves in a

random direction, just like Brownian motion.

2. If it collides against a woodchip and is not carrying any woodchip at that time, it picks up that woodchip, then again goes off with it in a random direction.

3. If it collides with a woodchip while it’s carrying one, it puts down its woodchip there, then heads off again in a random direction.

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