A Simplex Contained in a Sphere
نویسنده
چکیده
Let Δ be an n-dimensional simplex in Euclidean space E contained in an n-dimensional closed ball B. The following question is considered. Given any point x ∈ Δ, does there exist a reflection r : E → E in one of the facets of Δ such that r(x) ∈ B? Mathematics Subject Classification (2000). 51M04, 51M16, 51B11.
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