Small icosicosidodecahedral alterprism

From Polytope Wiki
Jump to navigation Jump to search
Small icosicosidodecahedral alterprism
Rank4
TypeScaliform
Notation
Bowers style acronymSiida (also Siidcup)
Coxeter diagram
Elements
Cells2 small icosicosidodecahedra, 12 pentagrammic antiprisms, 40 triangular cupolae
Faces40+120 triangles, 60 squares, 24 pentagrams, 40 hexagons
Edges120+120+120
Vertices120
Vertex figureSkewed wedge
Measures (edge length 1)
Circumradius
Height
Number of external pieces174
Related polytopes
ArmySemi-uniform sriddip
RegimentSiidcup
ConjugateNo real conjugate
Abstract & topological properties
OrientableYes
Properties
SymmetryH3×A1, order 240
ConvexNo
NatureTame

The small icosicosidodecahedral alterprism, small icosicosidodecahedral cupoliprism, or siidcup, is a scaliform polychoron. It consists of two small icosicosidodecahedra as bases, joined by 12 pentagrammic antiprisms and 40 triangular cupolae. 1 small icosicosidodecahedron, 1 pentagrammic antiprism, and 3 triangular cupolae join at each vertex. It can be formed by alternated faceting of the rhombicosidodecahedral prism. It can also be formed by partial Stott expansion of the small ditrigonary icosidodecahedral alterprism, expanding to .

It is also a segmentochoron, as siid atop siid.

External links[edit | edit source]