# Trapezohedron

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A **trapezohedron** (also called an **antitegum**) is a polyhedron constructed as the dual of an antiprism. An *n*-gonal trapezohedron generally has *2n* kites as faces (if *n* is equal to 3, the faces are rhombi instead). The digonal trapezohedron is a tetragonal disphenoid with extra vertices in the middle of the base edges, while the triangular trapezohedron is a variant of the cube.

They are topologically related to the scalenohedra, which are half-symmetry variants with irregular tetragons.

As there is no consistent analog in higher dimensions to the 3D antiprisms, there is similarly no general generalization of 3D antitegums either.

## External links[edit | edit source]

- Wikipedia contributors. "Trapezohedron".
- Weisstein, Eric W. "Trapezohedron" at MathWorld.

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