RecordNumber
3848
Author
Fathauer, Robert W.
Crop_Body
Robert W. Fathauer
Title of Article
A Method for Creating Dendritic Fractal Tiles
Title Of Journal
Bridges
Publication Year
2020
Abstract
I describe a process for creating dendritic fractal tiles that admit monohedral two-color tilings. At each iteration of
the construction small untiled spaces are present. These decrease in density with each iteration, disappearing in the
fractal limit. I present dendritic fractal tiles based on regular square and hexagonal tilings. Some of these tiles are
closely related to well-known fractal curves.