Random points on spheres: a graphics conjecture "proved"

David Naugler · Proceedings of the 17th conference on ACM Annual Computer Science Conference · 1989

Alan Schoen, a graphics expert at Southern Illinois University at Carbondale, has observed that the following result is true empirically:If 4 points are selected randomly on the unit sphere in Euclidean 3 space, then the probability that the tetrahedron with these points as vertices contains the origin is 1/23.

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