Geodesic
Infinitesimally Flexible Skeleta of Cross-Polytopes and Second-Hypersimplices
Journal for geometry and graphics, Tome 12 (2008) no. 1, p. 1.

Voir la notice de l'article provenant de la source Heldermann Verlag

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/