trapezohedron

{{Infobox polyhedron | name = Set of dual-uniform trapezohedra | image = Pentagonal trapezohedron.svg | caption = Example: dual-uniform pentagonal trapezohedron () | type = dual-uniform in the sense of dual-semiregular polyhedron | euler = | faces = congruent kites | edges = | vertices = | vertex_config = | schläfli = {{math|{ } ⨁ {n}}} | wythoff = | coxeter = | conway = | symmetry = order | rotation_group = order | surface_area = | volume = | dual = (convex) uniform antiprism | properties = convex, face-transitive, regular vertices | vertex_figure = | net = }}

In geometry, an trapezohedron, -trapezohedron, -antidipyramid, -antibipyramid, -deltohedron, or -antitegum, is the dual polyhedron of an antiprism. The faces of an are congruent and symmetrically staggered; they are called twisted kites. With a higher symmetry, its faces are kites (sometimes also called trapezoids, or deltoids). They are topologically related to the scalenohedra, which are half-symmetry variants with irregular trigons.