A Note on Affinely Regular Polygons

TL;DR

This paper characterizes affinely regular polygons within specific planar sets, demonstrating their applicability to cyclotomic model sets and implications for discrete tomography.

Contribution

It provides a new characterization of affinely regular polygons in certain planar sets and extends these results to cyclotomic model sets with applications in discrete tomography.

Findings

Characterization of affinely regular polygons in specific planar sets

Application of results to cyclotomic model sets

Implications for discrete tomography of these sets

Abstract

The affinely regular polygons in certain planar sets are characterized. It is also shown that the obtained results apply to cyclotomic model sets and, additionally, have consequences in the discrete tomography of these sets.