Bridges 2012 Regular Paper
Simple Rules for Incorporating Design Art into Penrose and Fractal Tiles
(Proceedings pages 259–266)
Incorporating designs into the tiles that form tessellations presents
an interesting challenge for artists. Creating a viable M.C.
Escher-like image that works esthetically as well as functionally
requires resolving incongruencies at a tile's edge while constrained
by its shape. Escher was the most well known practitioner in this
style of mathematical visualization, but there are significant
mathematical objects to which he never applied his artistry including
Penrose Tilings and fractals. In this paper, we show that the rules
of creating a traditional tile extend to these objects as well. To
illustrate the versatility of tiling art, images were created with
multiple figures and negative space leading to patterns distinct
from the work of others.