Dodecaswirlic diacositetracontachoron

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Dodecaswirlic diacositetracontachoron
Rank4
TypeIsochoric
SpaceSpherical
Info
SymmetryH3+×40, order 2400
Elements
Vertex figure600 tetragonal disphenoids, 1200 phyllic disphenoids
Cells240 truncated pentagonal prisms
Faces1200 isosceles triangles, 600 rectangular-symmetric octagons, 240 pentambi
Edges1200+2400
Vertices600+1200
Central density1
Euler characteristic0
Related polytopes
DualIcosafold icosaswirlchoron
Properties
ConvexYes
OrientableYes
NatureTame

The dodecaswirlic diacositetracontachoron, also known as the doeswirl 240, is an isochoric polychoron with 240 truncated pentagonal prisms as cells. It is the second in an infinite family of isochoric dodecahedral swirlchora.

Each cell of this polychoron has a chiral pentagonal prismatic symmetry with 2 pentambi (pentagonal-symmetric decagons), 5 rectangle-symmetric octagons, and 10 isosceles triangles for faces.