Abstract
In this paper, we discuss the circumradius of reduced convex polygons and Reuleaux polygons. We prove that from amongst all reduced convex n-gons of a fixed thickness, only the regular n-gon has the minimal circumradius. For Reuleaux polygons, we show that from amongst all n-th Reuleaux polygons, only the regular n-th Reuleaux polygon has the minimal circumradius.
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Chen, Q., Chen, B. & Jin, H. The circumradius of planar reduced convex bodies. J. Geom. 114, 6 (2023). https://doi.org/10.1007/s00022-023-00667-5
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DOI: https://doi.org/10.1007/s00022-023-00667-5