This research constructs a dynamical system using self-similar sets on mod-3 Sierpinski gasket, highlighting its mathematical properties.
Classical Sierpinski gasket is one of the fundamental examples of self-similar sets. This set is also named as mod-$2$ Sierpinski gasket. In this study, we mention the mod-$3$ Sierpinski gasket and obtain this self-similar set by using the escape time algorithm with some special mappings. Then, we express a dynamical system on the mod-$3$ Sierpinski gasket with the help of the code representations of its points.
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Aslan et al. (2025) studied this question.
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