Biapiculatotetrahedral 1-bitritetrahedral swirlprism

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Biapiculatotetrahedral 1-bitritetrahedral swirlprism
Rank4
TypeIsogonal
Elements
Cells48+48 irregular tetrahedra, 48 isosceles trapezoidal pyramids, 24 bi-apiculated tetrahedra
Faces48+48+48+48+48+48+48+48 scalene triangles, 24 isosceles trapezoids
Edges24+24+48+48+48+48+48
Vertices48
Vertex figure12-vertex polyhedron with 13 triangles, 2 tetragons, and 1 pentagon
Measures (edge length 1)
Central density1
Related polytopes
DualEdge-truncated tetrahedral intersected 1-bitritetrahedral swirltegum
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryA3●K2, order 48
ConvexYes
NatureTame

The biapiculatotetrahedral 1-bitritetrahedral swirlprism is a convex isogonal polychoron, formed as a convex hull of two icositetrachora in a way that leaves six corealmic vertices corresponding to a bi-apiculated tetrahedron. It consists of 24 bi-apiculated tetrahedra, 48 isosceles trapezoidal pyramids, and 96 irregular tetrahedra of two kinds. 3 bi-apiculated tetrahedra, 5 isosceles trapezoidal pyramids, and 8 irregular tetrahedra join at each vertex.