Steven Hoehner

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20192021

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math.MG2020

The Maximum Surface Area Polyhedron with Five Vertices Inscribed in the Sphere $S^{2}$

Jessica Donahue, Steven Hoehner, Ben Li

This article focuses on the problem of analytically determining the optimal placement of five points on the unit sphere $S^{2}$ so that the surface area of the convex hull o…

math.MG2019

Intrinsic and Dual Volume Deviations of Convex Bodies and Polytopes

Florian Besau, Steven Hoehner, Gil Kur

We establish estimates for the asymptotic best approximation of the Euclidean unit ball by polytopes under a notion of distance induced by the intrinsic volumes. We also introduce…

The Maximum Surface Area Polyhedron with Five Vertices Inscribed in the Sphere S2

Intrinsic and Dual Volume Deviations of Convex Bodies and Polytopes

The Maximum Surface Area Polyhedron with Five Vertices Inscribed in the Sphere $S^{2}$