Hexagonal-hexagonal antiprismatic duoprism

{{Infobox polytope The hexagonal-hexagonal antiprismatic duoprism or hahap is a convex uniform duoprism that consists of 6 hexagonal antiprismatic prisms, 2 hexagonal duoprisms and 12 triangular-hexagonal duoprisms.
 * type=Uniform
 * dim = 5
 * img=
 * off =
 * obsa = Hahap
 * terons = 6 hexagonal antiprismatic prisms, 2 hexagonal duoprisms, 12 triangular-hexagonal duoprisms
 * cells = 6 hexagonal antiprisms, 12+12+12 hexagonal prisms, 72 triangular prisms
 * faces = 12+12 hexagons, 72+72 squares, 72 triangles
 * edges = 72+72+72
 * vertices = 72
 * rad = $\sqrt{7+[{radic|3}}$}/2 ≈ 1.47750
 * verf = Isosceles-trapezoidal scalene
 * symmetry = G2×I2(12)×A1+, order 288
 * dual=Hexagonal-hexagonal trapezohedral duotegum
 * conv = Yes
 * orientable=Yes
 * nat=Tame}}

Vertex coordinates
The vertices of a hexagonal-hexagonal antiprismatic duoprism of edge length 1 are given by:
 * (0, ±1, 0, ±1, $\sqrt{{{radic|3}}-1}$/2)
 * (0, ±1, ±$\sqrt{3}$/2, ±1/2, $\sqrt{{{radic|3}}-1}$/2)
 * (0, ±1, ±1, 0, -$\sqrt{{{radic|3}}-1}$/2)
 * (0, ±1, ±1/2, ±$\sqrt{3}$/2, -$\sqrt{{{radic|3}}-1}$/2)
 * (±$\sqrt{3}$/2, ±1/2, 0, ±1, $\sqrt{{{radic|3}}-1}$/2)
 * (±$\sqrt{3}$/2, ±1/2, ±$\sqrt{3}$/2, ±1/2, $\sqrt{{{radic|3}}-1}$/2)
 * (±$\sqrt{3}$/2, ±1/2, ±1, 0, -$\sqrt{{{radic|3}}-1}$/2)
 * (±$\sqrt{3}$/2, ±1/2, ±1/2, ±$\sqrt{3}$/2, -$\sqrt{{{radic|3}}-1}$/2)