RecordNumber
3701
Author
Dunham, Douglas
Crop_Body
Douglas Dunham, John Shier
Title of Article
Repeating Fractal Patterns with 4-Fold Symmetry
Title Of Journal
Bridges
Publication Year
2016
Abstract
Previously we described an algorithm that can fill a region with an infinite sequence of randomly placed
and progressively smaller shapes, producing a fractal pattern. In this paperwe extend this algorithmto fill
a fundamental region for the “wallpaper” group p4, then we tile the plane with copies of that region. This
produces artistic patterns which have a pleasing combination of local randomness and global symmetry.