From Polytope Wiki
Jump to navigation Jump to search
A heptagonal trapezohedron, constructed from a heptagon.

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]