Substitution Tilings and Fractal Designs

Gallery of Substitution Tilings

Introduction to Square-Triangle Tilings

Filling-the-Gaps method to generate a symmetric substitution tiling for any n with inflation factor < 2

Also see my pinterest page for additional original work.

Gallery of Fractal Designs

How to make fractal designs

Mathematics behind the fractal designs

Most designs were created using ptile.(Some Fill-In-The-Gaps n-fold were created using inkscape.)

Bonus: Create any number using one four.

Copyright 1998-2020 by Jim Millar