Manfred Pietsch, Two hinged regular n-sided polygons,
Forum Geometricorum, 18 (2018) 39--42.
Abstract. We consider two regular polygons of the same type hinged at a common vertex C. If we further generate two regular polygons of the same type, each on a segment with one neighboring vertex of C from each polygon as endpoints, then these two new polygons must have a common center. The proof is based on two propositions about properties of equidiagonal quadrilaterals.
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