Trapezohedron

Set of dual-uniform n-gonal trapezohedra
Example: dual-uniform pentagonal trapezohedron (n = 5)
Type	dual-uniform in the sense of dual-semiregular polyhedron
Faces	2n congruent kites
Edges	4n
Vertices	2n + 2
Vertex configuration	V3.3.3.n
Schläfli symbol	{ } ⨁ {n}[1]
Conway notation	dAn
Coxeter diagram
Symmetry group	Dnd, [2+,2n], (2*n), order 4n
Rotation group	Dn, [2,n]+, (22n), order 2n
Dual polyhedron	(convex) uniform n-gonal antiprism
Properties	convex, face-transitive, regular vertices[2]

In geometry, an n-gonal trapezohedron, n-trapezohedron, n-antidipyramid, n-antibipyramid, or n-deltohedron^[3],[4] is the dual polyhedron of an n-gonal antiprism. The 2n faces of an n-trapezohedron are congruent and symmetrically staggered; they are called twisted kites. With a higher symmetry, its 2n faces are kites (sometimes also called trapezoids, or deltoids).^[5]

The "n-gonal" part of the name does not refer to faces here, but to two arrangements of each n vertices around an axis of n-fold symmetry. The dual n-gonal antiprism has two actual n-gon faces.

An n-gonal trapezohedron can be dissected into two equal n-gonal pyramids and an n-gonal antiprism.