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Partitions of points into intersecting tetrahedra

✍ Scribed by Jean-Pierre Roudneff

Publisher: Elsevier Science
Year: 1990
Tongue: English
Weight: 361 KB
Volume: 81
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(90)90180-p

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✦ Synopsis

Reay has conjectured

that any set of (m -l)(d + 1) + k + 1 points in general position in Rd can be partitioned into m disjoint subsets S,, S,, ,

📜 SIMILAR VOLUMES

Twelve general position points always fo

Twelve general position points always form three intersecting tetrahedra

✍ John R. Reay 📂 Article 📅 1979 🏛 Elsevier Science 🌐 English ⚖ 783 KB

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✍ Jean-Pierre Roudneff 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 148 KB

Tverberg's 1966 theorem asserts that every set X of (m -1)(d + 1) + 1 points in R d has a partition X 1 , X 2 , . . . , X m such that m i=1 conv X i = φ. We give a short and elementary proof of a theorem on convex cones which generalizes this result. As a consequence, we deduce several divisibility

The lattice-points of n-dimensional tetr

The lattice-points of n-dimensional tetrahedra

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✍ Jean-Pierre Roudneff 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 236 KB

A longstanding conjecture of Reay asserts that every set X of (m-1)(d +1)+k+1 points in general position in R d has a partition X 1 , X 2 , . . . , X m such that m i=1 conv X i is at least k-dimensional. Using the tools developed in [13] and oriented matroid theory, we prove this conjecture for d =

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✍ G. Marci 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 847 KB

The partitioning point dividing AK into AKo,, denoted/Cop, was determined for AI 7475-T7351 and the Ni-base alloy Nicrofer 5219 Nb annealed. The experimental testing technique used relies only on the fatigue crack, propagation behavior, i.e. whether a fatigue crack can propagate or can not propagate