Continuous deformations of polyhedra that do not alter the dihedral angles

Author:

Alexandrov Victor

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Reference11 articles.

1. Andreev, E.M.: On convex polyhedra in Lobachevskij spaces (in Russian). Mat. Sb., N. Ser. 81, 445–478 (1970). An English translation in Math. USSR, Sb. 10, 413–440 (1970)

2. Berger, M.: Geometry. I, II. Corrected 4th Printing. Universitext. Springer, Berlin (2009)

3. Connelly, R.: A counterexample to the rigidity conjecture for polyhedra. Publ. Math. IHES. 47, 333–338 (1977)

4. Dolbilin, N., Frettlöh, D.: Properties of Böröczky tilings in high-dimensional hyperbolic spaces. Eur. J. Comb. 31(4), 1181–1195 (2010)

5. Dupont, J.L., Sah, C.-H.: Three questions about simplices in spherical and hyperbolic 3-space. In: The Gelfand Mathematical Seminars, 1996–1999, pp. 49–76. Birkhäuser, Boston (2000)

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