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This study proposes a method for producing an infinite number of fractalsusing aperiodic substitution tilings, exemplified by the Ammann Chair tiling.Higher-order substitutions of aperiodic tilings are utilized in relation to theSierpinski carpet concept. The similarity dimensions of the fractals generatedby the Ammann Chair tiling are calculated and shown to be dense. A fractalimage generator was implemented in the Java programming language and is freelyavailable for public use athttps://github.com/KahHengLee/Ammann-Chair-Fractal.git

Fractals Generated by Modifying Aperiodic Substitution Tilings