2014 Joint Mathematics Meetings
John Critchett
Artists
Statement
This work is a cellular automata design employing equilateral triangles in an isometric grid. The design grew "organically" from a single hexagon composed of unit triangles. For each successive generation, triangles were coded as being either "on" or "off" based on a simple rule regarding the status of neighboring triangles. A triangle was turned on if it shared exactly one side with a triangle that was turned on in the previous generation; otherwise, it was left off. The process was terminated when the outline of a hexagon was produced. As such, this work represents a type of algorithmic (generative) art. TurboCAD was used to create the design. The final artwork is a framed, archival digital print that measures 16" x 16".
Artworks

Hexagon Tree
16" x 16"
archival digital print
2012