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math.MG2022
Surface areas of equifacetal polytopes inscribed in the unit sphere
Nicolas Freeman, Steven Hoehner, Jeff Ledford +2
This article is concerned with the problem of placing seven or eight points on the unit sphere in so that the surface area of the convex hull of the p…
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 . For these functionals, geometric inequalities are proved and the equality conditions are…