Quasitruncated small stellated dodecahedral prism

The quasitruncated small stellated dodecahedral prism or quit sissiddip is a prismatic uniform polychoron that consists of 2 quasitruncated small stellated dodecahedra, 12 pentagonal prisms, and 12 decagrammic prisms. Each vertex joins 1 quasitruncated small stellated dodecahedron, 1 pentagonal prism, and 2 decagrammic prisms. As the name suggests, it is a prism based on the quasitruncated small stellated dodecahedron.

Quasitruncated small stellated dodecahedral prism
Rank4
TypeUniform
Notation
Bowers style acronymQuit sissiddip
Coxeter diagramx x5/3x5o ()
Elements
Cells12 pentagonal prisms, 12 decagrammic prisms, 2 quasitruncated small stellated dodecahedra
Faces30+60 squares, 24 pentagons, 24 decagrams
Edges60+60+120
Vertices120
Vertex figureSphenoid, edge lengths (1+5)/2, 5–5)/2, (5–5)/2 (base), 2 (legs)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesStiddip–4–stiddip:
 Quit sissid–5–pip: 90°
 Quit sissid–10/3–stiddip: 90°
 Stiddip–4–pip:
Height1
Central density9
Number of external pieces110
Related polytopes
ArmySemi-uniform Sriddip
RegimentQuit sissiddip
DualGreat pentakis dodecahedral tegum
ConjugateTruncated great dodecahedral prism
Abstract & topological properties
Euler characteristic–8
OrientableYes
Properties
SymmetryH3×A1</ub>, order 240
ConvexNo
NatureTame

Vertex coordinates edit

Coordinates for the vertices of a quasitruncated small stellated dodecahedral prism of edge length 1 are given by all even permutations of the first three coordinates of:

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External links edit