Geodesic
Infinitesimally Flexible Skeleta of Cross-Polytopes and Second-Hypersimplices
Journal for geometry and graphics, Tome 12 (2008) no. 1, p. 1 Cet article a éte moissonné depuis la source Heldermann Verlag

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We study the infinitesimal flexibility of frameworks in Rd with graphs corresponding to the 1-skeleton of a cross-polytope, respectively second-hyper-simplex, of dimension d. Both represent generalizations of the classical case of the octahedron: the former in the regular sense, resulting in 'overbraced' linkages for d ≥ 4, and the latter in the sense of minimally rigid graphs.
Classification : 52C25
Mots-clés : Linkage, rigidity, infinitesimal flexibility, cross-polytope, second-hyper-simplex 
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C. S. Borcea . Infinitesimally Flexible Skeleta of Cross-Polytopes and Second-Hypersimplices. Journal for geometry and graphics, Tome 12 (2008) no. 1, p. 1. http://geodesic.mathdoc.fr/item/JGG_2008_12_1_JGG_2008_12_1_a0/