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polyhedron dimension

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  • Polyhedron — Polyhedra redirects here. For the relational database system, see Polyhedra DBMS. For the game magazine, see Polyhedron (magazine). For the scientific journal, see Polyhedron (journal). Some Polyhedra Dodecahedron (Regular polyhedron) …   Wikipedia

  • 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

  • Kepler–Poinsot polyhedron — In geometry, a Kepler–Poinsot polyhedron is any of four regular star polyhedra. They may be obtained by stellating the regular convex dodecahedron and icosahedron, and differ from these in having regular pentagrammic faces or vertex figures.… …   Wikipedia

  • Star polyhedron — In geometry, a star polyhedron is a polyhedron which has some repetitive quality of nonconvexity giving it a star like visual quality.There are two general kinds of star polyhedron: *Polyhedra which self intersect in a repetitive way. *Concave… …   Wikipedia

  • Kepler-Poinsot polyhedron — The Kepler Poinsot polyhedra is a popular name for the regular star polyhedra. Each has faces which are congruent regular convex polygons or star polygons and has the same number of faces meeting at each vertex (compare to Platonic solids).There… …   Wikipedia

  • Polytope — Not to be confused with polytrope. In elementary geometry, a polytope is a geometric object with flat sides, which exists in any general number of dimensions. A polygon is a polytope in two dimensions, a polyhedron in three dimensions, and so on… …   Wikipedia

  • Regular polytope — In mathematics, a regular polytope is a polytope whose symmetry is transitive on its flags, thus giving it the highest degree of symmetry. All its elements or j faces (for all 0≤ j ≤ n , where n is the dimension of the polytope) cells, faces and… …   Wikipedia

  • Duality (mathematics) — In mathematics, a duality, generally speaking, translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one to one fashion, often (but not always) by means of an involution operation: if the dual… …   Wikipedia

  • Prism (geometry) — For other uses, see Prism (disambiguation). Set of uniform prisms (A hexagonal prism is shown) Type uniform polyhedron Faces 2+n total: 2 {n} n {4} Edges …   Wikipedia

  • Polyhedral combinatorics — is a branch of mathematics, within combinatorics and discrete geometry, that studies the problems of counting and describing the faces of convex polyhedra and higher dimensional convex polytopes.A key question in polyhedral combinatorics is to… …   Wikipedia

  • Polyèdre — Un polyèdre est une forme géométrique à trois dimensions ayant des faces planes polygonales qui se rencontrent selon des segments de droite qu on appelle arêtes. Le mot « polyèdre »[1] provient du grec classique πολύεδρον (polyedron)… …   Wikipédia en Français

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