Five-Dimensional Euclidean Space Cannot be Conformly Partitioned into Acute Simplices

Michal Křížek ()
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Michal Křížek: Academy of Sciences, Institute of Mathematics

A chapter in Numerical Mathematics and Advanced Applications 2009, 2010, pp 543-549 from Springer

Abstract: Abstract We prove that a point in the Euclidean space ℝ 5 cannot be surrounded by a finite number of acute simplices. This fact implies that there does not exist a face-to-face partition of ℝ 5 into acute simplices.

Keywords: Dihedral Angle; Convex Polytope; Triangular Face; Nonlinear Elliptic Problem; Discrete Maximum Principle (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-11795-4_58

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DOI: 10.1007/978-3-642-11795-4_58

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