orientable polyhedron

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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

• 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

• 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

• 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

• Octahemioctahedron — Type Uniform star polyhedron Elements F = 12, E = 24 V = 12 (χ = 0) Faces by sides 8{3}+4{6} Wythoff symbol …   Wikipedia

• Tetrahemihexahedron — In geometry, the tetrahemihexahedron is a nonconvex uniform polyhedron, indexed as U4. It has 6 vertices and 12 edges, and 7 faces: 4 triangular and 3 square. It has the same vertices and edges as the regular octahedron. It also shares 4 of the 8 …   Wikipedia

• Hemipolyhedron — In geometry, a hemipolyhedron is a uniform star polyhedron some of whose faces pass through its center. These hemi faces lie parallel to the faces of some other symmetrical polyhedron, and their count is half the number of faces of that other… …   Wikipedia

• Gauss–Bonnet theorem — The Gauss–Bonnet theorem or Gauss–Bonnet formula in differential geometry is an important statement about surfaces which connects their geometry (in the sense of curvature) to their topology (in the sense of the Euler characteristic). It is named …   Wikipedia

• Solid modeling — The geometry in solid modeling is fully described in 3‑D space; objects can be viewed from any angle. Modeled and ray traced in Cobalt Solid modeling (or modelling) is a consistent set of principles for mathematical and computer modeling of three …   Wikipedia

• Cycle double cover — Unsolved problems in mathematics Does every bridgeless graph have a multiset of cycles covering every edge exactly twice? …   Wikipedia

• Four color theorem — Example of a four colored map A four colori …   Wikipedia