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On equilateral simplices in normed spaces

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Publication:1567450
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zbMath0961.51016MaRDI QIDQ1567450

Peter Brass

Publication date: 18 June 2000

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/225134


zbMATH Keywords

Cayley-Menger determinantequilateral simplicesPetty's problem


Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20)


Related Items (14)

Minkowski Geometry—Some Concepts and Recent Developments ⋮ Pyramids in three-dimensional normed spaces ⋮ Maximal equilateral sets ⋮ On large equilateral point-sets in normed spaces ⋮ Large Banach spaces with no infinite equilateral sets ⋮ Equilateral dimension of the Heisenberg group ⋮ Unnamed Item ⋮ The geometry of Minkowski spaces -- a survey. I ⋮ A lower bound for the equilateral number of normed spaces ⋮ Equilateral simplices in normed 4-space ⋮ Sphere packings revisited ⋮ Isometric embeddings of a class of separable metric spaces into Banach spaces ⋮ Equilateral sets in infinite dimensional Banach spaces ⋮ Large equilateral sets in subspaces of \(\ell_\infty^n\) of small codimension




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