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On the area of ordinary hyperbolic reduced polygons (2403.11360v2)

Published 17 Mar 2024 in math.MG

Abstract: A convex body $R$ in the hyperbolic plane is reduced if any convex body $K\subset R$ has a smaller minimal width than $R$. We examine the area of a family of hyperbolic reduced $n$-gons, and prove that, within this family, regular $n$-gons have maximal area.

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