Simulations: Cellular Automata

ROBERT ALVAREZ, DAKOTA BOYD, HYDER HUSSAIN, JONATHAN MARTIN

Simulations: Cellular Automata

Mechanism

Defines rand() NxN domain.Generates MxM grid of filters based on an

MxM tensor field.Updates the domain via 2D correlation of the

filter matrices with segments of the full domain.

Updates the domain with a smoothing filter

Forces

0 2 4 6 8 10 12

-4

-2

0

2

4

6

x 10-3

Distance

Forc

e

Forces

AttractionTotalRepulsion

Forces

0 2 4 6 8 10 12

-4

-2

0

2

4

6

x 10-3

Distance

Forc

e

Forces

AttractionTotalRepulsion

Sample Filters

Tensor Filter0 -0.0026 -0.0065 -0.0026 00.0026 0 -0.0130 0 0.00260.0065 0.0130 0 0.0130 0.00650.0026 0 -0.0130 0 0.00260 -0.0026 -0.0065 -0.0026 0

Smoothing Filter0 -0.0150 -0.0117 -0.0150 0-0.0150 0.0046 0.0371 0.0046 -0.0150-0.0117 0.0371 0 0.0371 -0.0117-0.0150 0.0046 0.0371 0.0046 -0.01500 -0.0150 -0.0117 -0.0150 0

Implementation of Force Filter

Implementation of Force Filter

Version 1.0

finalinitial

Elapsed time is 5.037525 seconds.

Version 3.0initial

Elapsed time is 9.191040 seconds.

Version 4.0

initial

Elapsed time is 5.250095 seconds.

Version 5.0

initial

Elapsed time is 5.551649 seconds.

Version 8.0

Version 9.0

Version 10.0

Version 11.0

Version 12.0 Tensor

Version 12.0

Questions?

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