  This study proposes a method for producing an infinite number of fractals
using aperiodic substitution tilings, exemplified by the Ammann Chair tiling.
Higher-order substitutions of aperiodic tilings are utilized in relation to the
Sierpinski carpet concept. The similarity dimensions of the fractals generated
by the Ammann Chair tiling are calculated and shown to be dense. A fractal
image generator was implemented in the Java programming language and is freely
available for public use at
https://github.com/KahHengLee/Ammann-Chair-Fractal.git
