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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