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- W2907511278 abstract "We study the relation between the set of n + 1 vertices of an n-simplex S having (mathbb {S}^{n-1}) as circumsphere, and the set of n + 1 unit outward normals to the facets of S. These normals can in turn be interpreted as the vertices of another simplex (hat {S}) that has (mathbb {S}^{n-1}) as circumsphere. We consider the iterative application of the map that takes the simplex S to (hat {S}), study its convergence properties, and in particular investigate its fixed points. We will also prove some statements about well-centered simplices in the above context." @default.
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- W2907511278 date "2019-01-01" @default.
- W2907511278 modified "2023-09-23" @default.
- W2907511278 title "Simplicial Vertex-Normal Duality with Applications to Well-Centered Simplices" @default.
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- W2907511278 doi "https://doi.org/10.1007/978-3-319-96415-7_71" @default.
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