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math.MG2026
A volume formula for Reuleaux polyhedra
Ryan Hynd
A ball polyhedron is a finite intersection of congruent balls in . These shapes arise in various contexts in discrete and convex geometry. We focus on Reuleaux polyhe…
math.MG2025
On extreme constant width bodies in
Ryan Hynd
We consider the family of constant width bodies in which is convex under Minkowski addition. Extreme shapes cannot be expressed as a nontrivial convex combination of…
math.MG2024
The perimeter and volume of a Reuleaux polyhedron
Ryan Hynd
A ball polyhedron is the intersection of a finite number of closed balls in with the same radius. In this note, we study ball polyhedra in which the set of centers d…