nonconvex polyhedron

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• Nonconvex uniform polyhedron — In geometry, a nonconvex uniform polyhedron, or uniform star polyhedron, is a self intersecting uniform polyhedron. Each can contain either star polygon faces, star polygon vertex figures or both.The complete set of 57 nonprismatic uniform star… …   Wikipedia

• Nonconvex great rhombicosidodecahedron — Type Uniform star polyhedron Elements F = 62, E = 120 V = 60 (χ = 2) Faces by sides 20{3}+30{4}+12{5/2} …   Wikipedia

• Nonconvex great rhombicuboctahedron — Type Uniform star polyhedron Elements F = 26, E = 48 V = 24 (χ = 2) Faces by sides 8{3}+(6+12){4} Wytho …   Wikipedia

• 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

• Uniform star polyhedron — A display of uniform polyhedra at the Science Museum in London …   Wikipedia

• Császár polyhedron — An animation of the Császár polyhedron being rotated and unfolded. Type Toroidal polyhedron Faces 14 triangles Edges 21 Verti …   Wikipedia

• Szilassi polyhedron — Infobox Polyhedron Polyhedron Type= Face List=7 hexagons Edge Count=21 Vertex Count=14 Symmetry Group=? Vertex List=6.6.6 Dual=Császár polyhedron Property List=NonconvexThe Szilassi polyhedron is a nonconvex polyhedron, topologically a torus,… …   Wikipedia

• Uniform polyhedron — A uniform polyhedron is a polyhedron which has regular polygons as faces and is transitive on its vertices (i.e. there is an isometry mapping any vertex onto any other). It follows that all vertices are congruent, and the polyhedron has a high… …   Wikipedia

• Omnitruncated polyhedron — In geometry, an omnitruncated polyhedron is a truncated quasiregular polyhedron. When they are alternated, they produce the snub polyhedra. All omnitruncated polyhedra are zonohedra. They have Wythoff symbol p q r | and vertex figures as 2p.2q.2r …   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

• Semiregular polyhedron — A semiregular polyhedron is a polyhedron with regular faces and a symmetry group which is transitive on its vertices. Or at least, that is what follows from Thorold Gosset s 1900 definition of the more general semiregular polytope. [Thorold… …   Wikipedia