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

Nicolas FreemanSteven HoehnerJeff LedfordDavid PackBrandon Walters
Dec 2022
摘要
This article is concerned with the problem of placing seven or eight pointson the unit sphere $\mathbb{S}^2$ in $\mathbb{R}^3$ so that the surface area ofthe convex hull of the points is maximized. In each case, the solution is givenfor convex hulls with congruent isosceles or congruent equilateral triangularfacets.
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