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Double-normal pairs in the plane and on the sphere

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Publication:747563
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DOI10.1007/s13366-014-0211-9zbMath1328.51007arXiv1404.2624OpenAlexW3124527033MaRDI QIDQ747563

János Pach, Konrad J. Swanepoel

Publication date: 16 October 2015

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

Full work available at URL: https://arxiv.org/abs/1404.2624


zbMATH Keywords

sphereplanedouble-normal pairs


Mathematics Subject Classification ID

Euclidean geometries (general) and generalizations (51M05)


Related Items (1)

The number of double-normals in space



Cites Work

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  • Unit distances and diameters in Euclidean spaces
  • Lower bounds for the numbers of antipodal pairs and strictly antipodal pairs of vertices in a convex polytope
  • Antipodality properties of finite sets in Euclidean space
  • Strictly antipodal sets
  • DOUBLE‐NORMAL PAIRS IN SPACE
  • The Beginnings of Geometric Graph Theory
  • On Sets of Distances of n Points


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