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

collaborators

Showing 2022 · math.MGShow all

3 papers · 2 filters

math.MG2022

Surface areas of equifacetal polytopes inscribed in the unit sphere $S^{2}$

Nicolas Freeman, Steven Hoehner, Jeff Ledford +2

This article is concerned with the problem of placing seven or eight points on the unit sphere $S^{2}$ in $R^{3}$ so that the surface area of the convex hull of the p…

math.MG2022★ 2 cited

An intrinsic volume metric for the class of convex bodies in $R^{n}$

Florian Besau, Steven Hoehner

A new intrinsic volume metric is introduced for the class of convex bodies in $R^{n}$ . As an application, an inequality is proved for the asymptotic best approximation of th…

math.MG2022

Extremal arrangements of points on the sphere for weighted cone-volume functionals

Steven Hoehner, Jeff Ledford

Weighted cone-volume functionals are introduced for the convex polytopes in $R^{n}$ . For these functionals, geometric inequalities are proved and the equality conditions are…

Surface areas of equifacetal polytopes inscribed in the unit sphere S2

An intrinsic volume metric for the class of convex bodies in Rn

Extremal arrangements of points on the sphere for weighted cone-volume functionals

Surface areas of equifacetal polytopes inscribed in the unit sphere $S^{2}$

An intrinsic volume metric for the class of convex bodies in $R^{n}$