Partially-rectified small swirlprism

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Partially-rectified small swirlprism
File:Partially-rectified small swirlprism.png
Rank4
TypeIsogonal
Elements
Cells120 pentagonal prisms, 120 chiral rectified pentagonal prisms
Faces600 isosceles triangles, 600 rectangles, 240 pentagons
Edges600+1200
Vertices600
Vertex figureBilaterally-symmetric wedge
Measures (edge length 1)
Central density1
Related polytopes
DualPartially-joined small swirlprism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryH3●I2(10), order 1200
ConvexYes
NatureTame

The partially-rectified small swirlprism, also known as the amboprismatic transitional didecafold icosidodecaswirlchoron, is an isogonal polychoron that consists of 120 chiral rectified pentagonal prisms, 120 pentagonal prisms, and 600 vertices. 3 rectified pentagonal prisms and 2 pentagonal prisms join at each vertex. It can be constructed by general rectification of a transitive set of 600 edges of a small swirlprism.

It can also be constructed as a subsymmetrical faceting of the rectified hecatonicosachoron.

The ratio between the longest and shortest edges is 1: ≈ 1:1.61803.