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Twelve general position points always form three intersecting tetrahedra

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Publication:1136092
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DOI10.1016/0012-365X(79)90097-9zbMath0426.52004OpenAlexW2066836940MaRDI QIDQ1136092

John R. Reay

Publication date: 1979

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(79)90097-9


zbMATH Keywords

general position pointsthree intersecting tetrahedra


Mathematics Subject Classification ID

Other problems of combinatorial convexity (52A37) Random convex sets and integral geometry (aspects of convex geometry) (52A22) Polytopes and polyhedra (52Bxx)


Related Items (3)

On Reay's relaxed Tverberg conjecture and generalizations of Conway's thrackle conjecture ⋮ Partitions of points into intersecting tetrahedra ⋮ Strong independence and the dimension of a Tverberg set



Cites Work

  • Several generalizations of Tverberg's theorem
  • On a class of convex polytopes
  • An extension of Radon's theorem
  • Radon partitions and a new notion of independence in affine and projective spaces
  • A Generalization of Radon's Theorem


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