Eric Weeks - personal pages - computer-generated pictures Cellular Automata on a QuasiCrystal

weeks/physics.emory.edu

Description

This picture was generated on a quasi-periodic tiling of the plane possessing 5-fold symmetry.

This picture has 86,036 tiles, 200,000 iterations were done, and a depth-5 neighborhood was used.

For detailed information on the algorithm, click here or the picture below.

For this 200,000 iteration run, I made a histogram of the number of randomly chosen cells that had a given depth-5 neighborhood size. In the graph below, "dat0" is fat tiles (solid line, diamond symbol) and "dat1" is skinny tiles (dashed line, plus symbol).

Two examples of depth-5 neighborhoods (of the green tiles):

Curious what the Earth would look like from space if we had a 3-party system world government? Click here for more information. Or, perhaps it's just a 3-party majority rule CA run on a quasi crystal ...

A CA rule that's different for the two types of tiles

Links...

• CLICK HERE FOR INFORMATION ABOUT SOFTWARE USED TO MAKE QUASICRYSTALS
• Software I've written -- some functional, some fun
• Research I do
• Various simple algorithms for making simple pictures
• Graphics techniques (some used to make these pictures)
• Questions? Comments? Send me email; email address below.