# A Cellular Automaton Mapped on the Surface of a Cylinder

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This Demonstration maps a cellular automaton (CA) onto the surface of a cylinder. To make it a little fancier, instead of elementary automata, a 1-dimensional, range-2 semi-totalistic CA is used. The periodicity of the boundary condition is emphasized by the gray dots located where the stitching of the opposite edges of the array meet. According to the common convention, the CA evolves from top to bottom.

Contributed by: Machi Zawidzki (January 2012)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

References

[1] M. Zawidzki, "Implementing Cellular Automata for Dynamically Shading a Building Facade," *Complex
Systems*, 18(3), 2009 pp. 287–305.

[2] M. Zawidzki and I. Fujieda, "The Prototyping of a Shading Device Controlled by a Cellular Automaton,"
*Complex Systems*, 19(2), 2010 pp. 157–175.

## Permanent Citation

"A Cellular Automaton Mapped on the Surface of a Cylinder"

http://demonstrations.wolfram.com/ACellularAutomatonMappedOnTheSurfaceOfACylinder/

Wolfram Demonstrations Project

Published: January 19 2012