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.
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Křížek, M. (2010). Five-Dimensional Euclidean Space Cannot be Conformly Partitioned into Acute Simplices. In: Kreiss, G., Lötstedt, P., Målqvist, A., Neytcheva, M. (eds) Numerical Mathematics and Advanced Applications 2009. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11795-4_58
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DOI: https://doi.org/10.1007/978-3-642-11795-4_58
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