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math.MG2023
The density of Meissner polyhedra
Ryan Hynd
We consider Meissner polyhedra in . These are constant width bodies whose boundaries consist of pieces of spheres and spindle tori. We define these shapes by taking a…
math.MG2023
The Blaschke-Lebesgue theorem revisited
Ryan Hynd
We revisit a classic proof of the Blaschke-Lebesgue theorem. It is based on the support function of a convex curve and the approximation of constant width curves by Reuleaux polygo…