View source for Truncated great icosahedral prism

{{Infobox polytope
|type = [[Uniform]]
|img = Tiggipe.png
|off = Truncated great icosahedral prism.off
|rank = 4
|obsa = {{BSAhelp|T|truncated|i||g|great|g||i|icosahedral|p|prism|e|}}
|cells =
  {{hlist
  | 12 [[pentagrammic prism]]s
  | 20 [[hexagonal prism]]s
  | 2 {{pl|truncated great icosahedron}}
  }}
|faces = 30+60 [[square]]s, 24 [[pentagram]]s, 40 [[hexagon]]s
|edges = 60+60+120
|vertices = 120
|flags = 2880
|verf = [[Sphenoid]], edge lengths ({{radic|5}}–1)/2, {{radic|3}}, {{radic|3}} (base), {{radic|2}} (legs)
|coxeter = {{ACD|x o5/2x3x|both=yes}}
|symmetry = [[H3×A1|H{{sub|3}}×A{{sub|1}}]], order 240
|orbits = 12
|army=[[Semi-uniform]] [[Sriddip]]
|reg='''Tiggipe'''
|circum = <math>\sqrt{\frac{31-9\sqrt5}{8}} \approx 1.16594</math>
|height = 1
|hypervolume = <math>\frac{125-43\sqrt5}{4} \approx 7.21227</math>
|density = 7
|euler = 0
|dich = Stip–4–hip: <math>\arccos\left(-\sqrt{\frac{5-2\sqrt5}{15}}\right) \approx  100.81232^\circ</math>
|dich2 = Tiggy–5/2–stip: 90°
|dich3 = Tiggy–6–hip: 90°
|dich4 = Hip–4–hip: <math>\arccos\left(\frac{\sqrt5}{3}\right) \approx  41.81031^\circ</math>
|pieces = 1194
|dual = [[Great stellapentakis dodecahedral tegum]]
|conjugate = [[Truncated icosahedral prism]]
|conv = No
|orientable = Yes
|nat = Tame
}}
The '''truncated great icosahedral prism''' ([[OBSA]]: '''{{BSAhelp|t|truncated|i||g|great|g||i|icosahedral|p|prism|e|}}''') is a prismatic [[uniform polychoron]] that consists of 2 {{pl|truncated great icosahedron}}, 12 [[pentagrammic prism]]s, and 20 [[hexagonal prism]]s. Each vertex joins 1 truncated great icosahedron, 1 pentagrammic prism, and 2 hexagonal prisms. As the name suggests, it is a [[prism]] based on the [[truncated great icosahedron]]. 

==Vertex coordinates==
Coordinates for the vertices of a truncated great icosahedral prism of edge length 1 are given by all even permutations of the first three coordinates of:
*<math>\left(0,\,\pm \frac12,\,\pm 3\frac{\sqrt5-1}{4},\,\pm \frac12\right)</math>,
*<math>\left(\pm \frac12,\,\pm \frac{5-\sqrt5}{4},\,\pm \frac{\sqrt5-1}{2},\,\pm \frac12\right)</math>,
*<math>\left(\pm \frac{\sqrt5-1}{4},\,\pm 1,\,\pm \frac{\sqrt5-2}{2},\,\pm \frac12\right)</math>.

==External links==
*{{Bowers|prisms|Category 19: Prisms|904}}
*{{Incmats|tiggipe}}

[[Category:4D uniform prisms]]
[[Category:H3×A1 symmetry]]
[[Category:Sriddip army]]
[[Category:Polychora with 34 cells]]