Small disprismated dodecafold cubiswirlchoron

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Small disprismated dodecafold cubiswirlchoron
Rank4
TypeIsogonal
Elements
Cells288+288 wedges, 96 triangular prisms, 96 triangular gyroprisms, 72 square prisms, 72 square gyroprisms
Faces192 triangles, 576+576 isosceles triangles, 144 squares, 288+288+576 rectangles
Edges288+288+288+288+576+576
Vertices576
Vertex figureIrregular tetragonal antiprism
Measures (edge length 1)
Central density1
Related polytopes
DualSmall crystallized cubiswirlic heptacontadichoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryB3●I2(12), order 576
ConvexYes
NatureTame

The small disprismated dodecafold cubiswirlchoron, also known as the small disprismated dodecafold octaswirlchoron, is an isogonal polychoron with 72 square prisms, 72 square gyroprisms, 96 triangular prisms, 96 triangular gyroprisms, 576 wedges of two kinds, and 576 vertices. 4 wedges and 1 each of the other cell types join at each vertex. It can be formed by expanding the cells of the square-gyroprismatic heptacontadichoron or its dual triangular-gyroprismatic enneacontahexachoron outward.