Small disprismated triacontafold dodecaswirlchoron

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Small disprismated triacontafold dodecaswirlchoron
Rank4
TypeIsogonal
Elements
Cells1800+1800 wedges, 600 triangular prisms, 600 triangular gyroprisms, 360 pentagonal prisms, 360 pentagonal gyroprisms
Faces1200 triangles, 3600+3600 isosceles triangles, 1800+1800+3600 rectangles, 720 pentagons
Edges1800+1800+1800+1800+3600+3600
Vertices3600
Vertex figureIrregular tetragonal antiprism
Measures (edge length 1)
Central density1
Related polytopes
DualSmall crystallized dodecaswirlic triacosihexecontachoron
Abstract & topological properties
Flag count230400
Euler characteristic0
OrientableYes
Properties
SymmetryH3●I2(30), order 3600
ConvexYes
NatureTame

The small disprismated triacontafold dodecaswirlchoron, also known as the small disprismated triacontafold icosaswirlchoron is an isogonal polychoron with 360 pentagonal prisms, 360 pentagonal gyroprisms, 600 triangular prisms, 600 triangular gyroprisms, 3600 wedges of two kinds, and 3600 vertices. 4 wedges and 1 of each of the other cell types join at each vertex. It can be formed by expanding the cells of the pentagonal-gyroprismatic triacosihexecontachoron or its dual triangular-gyroprismatic hexacosichoron outward.