On dendrites generated by symmetric polygonal systems: The case of regular polygons

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Abstract

We define G-symmetric polygonal systems of similarities and study the properties of symmetric dendrites, which appear as their attractors. This allows us to find the conditions under which the attractor of a zipper becomes a dendrite.

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Samuel, M., Mekhontsev, D., & Tetenov, A. (2018). On dendrites generated by symmetric polygonal systems: The case of regular polygons. In Trends in Mathematics (pp. 27–35). Springer International Publishing. https://doi.org/10.1007/978-3-030-01120-8_4

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