Siberian Mathematical Journal

, Volume 55, Issue 5, pp 961–967 | Cite as

On a class of inflexible polyhedra

  • I. Kh. SabitovEmail author


We consider a class of polyhedra that we call pyramids and prove under some simple but rather general conditions on the extrinsic structure that the pyramids are inflexible. Moreover, this inflexibility property can be established also in multidimensional spaces of arbitrary constant curvature under appropriate conditions.


pyramid main vertex existence topological genus condition on the extrinsic structure flexibility inflexibility 


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© Pleiades Publishing, Ltd. 2014

Authors and Affiliations

  1. 1.Lomonosov Moscow State UniversityMoscowRussia

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