In geometry, a hexagonal trapezohedron or deltohedron is the fourth in an infinite series of trapezohedra which are dual polyhedra to the antiprisms.

More specifically, all faces are not merely congruent but also transitive, i.e. lie within the same symmetry orbit.

Convex isohedral polyhedra are the shapes that will make fair dice.

One degree of freedom within D6 symmetry changes the kites into congruent quadrilaterals with 3 edges lengths.

The dual is an unequal antiprism, with the top and bottom polygons of different radii.