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Finite or discrete collections of geometric objects. Packings, tilings, polyhedra, polytopes, intersection, arrangements, rigidity.

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The existence of $n$-sided cells in regular $m$-gons

For any integer $n >= 3$, does there exist a regular $m$-gon with all diagonals drawn containing a cell with $n$ sides? See A342222 and its cross-references. Regular polygon on the Wiki.           …
Peter Luschny's user avatar