rigidity of polyhedral

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• Flexible polyhedron — In geometry, a flexible polyhedron is a polyhedral surface that allows continuous non rigid deformations such that all faces remain rigid. The Cauchy rigidity theorem shows that in dimension 3 such a polyhedron cannot be convex (this is also …   Wikipedia

• Изгибаемый многогранник — Многогранник (точнее многогранная поверхность) называется изгибаемым, если его пространственную форму можно изменить такой непрерывной во времени деформацией, при которой каждая грань не изменяет своих размеров (то есть движется как твёрдое тело) …   Википедия

• Cauchy's theorem (geometry) — Cauchy s theorem is a theorem in geometry, named after Augustin Cauchy. It states that convex polytopes with congruent corresponding faces are congruent. This is a foundational result in rigidity theory. tatementLet P, Q subset Bbb R^3 be… …   Wikipedia

• Коннелли, Роберт — Роберт Коннелли (англ. Robert Connelly) (род. 15 июля 1942(19420715), Сеуикли, Пенсильвания, США)  американский математик, специалист по комбинаторной геометрии и теории структурной жёсткости (англ. Structural rigidity).… …   Википедия

• Circle packing theorem — Example of the circle packing theorem on K5, the complete graph on five vertices, minus one edge. The circle packing theorem (also known as the Koebe–Andreev–Thurston theorem) describes the possible tangency relations between circles in the plane …   Wikipedia

• Crystal growth — Crystallization Concepts …   Wikipedia

• Discrete geometry — A collection of circles and the corresponding unit disk graph Combinatorial geometry redirects here. The term combinatorial geometry is also used in the theory of matroids to refer to a simple matroid, especially in older texts. Discrete geometry …   Wikipedia

• DuPont Central Research — In 1957, the research organization of the Chemicals Department of E. I. du Pont de Nemours and Company was renamed Central Research Department, beginning the history of the premier scientific organization within DuPont and one of the foremost… …   Wikipedia

• James W. Cannon — (b. January 30, 1943) is an American mathematician working in the areas of low dimensional topology and geometric group theory. He is an Orson Pratt Professor of Mathematics at the Brigham Young University.Biographical dataJames W. Cannon was… …   Wikipedia

• Combinatorics — is a branch of mathematics concerning the study of finite or countable discrete structures. Aspects of combinatorics include counting the structures of a given kind and size (enumerative combinatorics), deciding when certain criteria can be met,… …   Wikipedia

• Geodesic dome — Spaceship Earth at Epcot, Walt Disney World, a geodesic sphere A geodesic dome is a spherical or partial spherical shell structure or lattice shell based on a network of great circles (geodesics) on the surface of a sphere. The geodesics… …   Wikipedia