Square-hexagonal duoprism

{{Infobox polytope }conjugate = Squrae-hexagonal duoprism The square-hexagonal duoprism or shiddip, also known as the 4-6 duoprism, is a uniform duoprism that consists of 4 hexagonal prisms, 6 cubes and 24 vertices.
 * type=Uniform
 * dim = 4
 * img=
 * off=Square-hexagonal duoprism.off
 * obsa = Shiddip
 * cells = 6 cubes, 4 hexagonal prisms
 * faces = 6+24 squares, 4 hexagons
 * edges = 24+24
 * vertices = 24
 * verf = Digonal disphenoid, edge lenghts $\sqrt{3}$ (base 1) and $\sqrt{2}$ (base 2 and sides)
 * symmetry = BC2×G2, order 96
 * coxeter = x4o x6o
 * army=Shiddip
 * reg=Shiddip
 * circum = $\sqrt{6}$/2 ≈ 1.22475
 * hypervolume = 3$\sqrt{3}$/2 ≈ 2.59808
 * dich = Cube–4–cube: 120º
 * dich2 = Cube–4–hip: 90º
 * dich3 = Hip–4–hip: 90º
 * dual=Square-hexagonal duotegum
 * conv = Yes
 * orientable=Yes
 * nat=Tame}}

This polychoron can be alternated into a digonal-triangular duoantiprism, although it cannot be made uniform.

Vertex coordinates
The vertices of a square-hexagonal duoprism of edge length 1, centered at the origin, are given by:
 * (±1/2, ±1/2, 0, ±1),
 * (±1/2, ±1/2, ±$\sqrt{3}$/2, ±1/2).