Triangular-icosahedral duoprism

{{Infobox polytope The triangular-icosahedral duoprism or trike is a convex uniform duoprism that consists of 3 icosahedral prisms and 20 triangular duoprisms.
 * type=Uniform
 * dim = 5
 * img=
 * off =
 * obsa = Trike
 * terons = 3 icosahedral prisms, 20 triangular duoprisms
 * cells = 3 icosahedra, 30+60 triangular prisms
 * faces = 12+60 triangles, 90 squares
 * edges = 36+90
 * vertices = 36
 * rad = $\sqrt{138+18√5/12 ≈ 1.11258
 * verf = Pentagonal scalene
 * symmetry = A2×H3, order 720
 * dual=Triangular-dodecahedral duotegum
 * conv = Yes
 * orientable=Yes
 * nat=Tame}$

Vertex coordinates
The vertices of a triangular-icosahedral duoprism of edge length 1 are given by all even permutations and all sign changes of the last three coordinates of:
 * (0, $\sqrt{3}$/3, 0, 1/2, (1+$\sqrt{5}$)/4)
 * (±1/2, -$\sqrt{3}$/6, 0, 1/2, (1+$\sqrt{5}$)/4)