Steven Hoehner

activity

20152026

most citedThe Surface Area Deviation of the Euclidean Ball and a Polytope

14 citations · 35 across the 21 of their papers we have counts for

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Showing 2026 · math.MGShow all

3 papers · 2 filters

math.MG2026

The maximum volume polytope with nine vertices inscribed in the sphere

Steven Hoehner, Jeff Ledford

A classical problem in convex and discrete geometry asks for the convex polyhedron of greatest volume whose vertices are chosen from the unit sphere $S^{2}$ . For a prescribe…

math.MG2026

Dual volume approximation of the Euclidean ball by polytopes with a fixed number of $k$ -faces

Steven Hoehner, Carsten Schütt, Elisabeth M. Werner

We study dual volume approximation of the Euclidean ball by polytopes with a prescribed number of $k$ -dimensional faces. This continues the authors' previous work on intrinsic volu…

math.MG2026

Simultaneous random polytope approximation characterizes the Euclidean ball

Steven Hoehner

In this work, we present a new geometric characterization of the Euclidean ball based on approximation by random polytopes. We investigate when a single boundary sampling density i…

The maximum volume polytope with nine vertices inscribed in the sphere

Dual volume approximation of the Euclidean ball by polytopes with a fixed number of k-faces

Simultaneous random polytope approximation characterizes the Euclidean ball

Dual volume approximation of the Euclidean ball by polytopes with a fixed number of $k$ -faces