Toroidal polyhedra::Torus


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Toroidal polyhedra {{#invoke:details|details}}

A toroidal polyhedron with 6 × 4 = 24 quadrilateral faces.

Polyhedra with the topological type of a torus are called toroidal polyhedra, and have Euler characteristic VE + F = 0. For any number holes, the formula generalizes to VE + F = 2 − 2N, where N is the number of holes.

The term "toroidal polyhedron" is also used for higher-genus polyhedra and for immersions of toroidal polyhedra.

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Torus sections
Intro  Geometry  Topology  Two-sheeted cover  n-dimensional torus  Flat torus  n-fold torus  Toroidal polyhedra  Automorphisms  Cutting a torus  See also  Notes  References  External links  

Toroidal polyhedra
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