Triangular-square tetraswirltegum

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Triangular-square tetraswirltegum
Rank4
TypeIsotopic
Elements
Cells48 16-vertex dodecahedra
Faces48+48 isosceles triangles, 48+48+48 kites, 48 mirror-symmetric octagons
Edges12+16+96+96+96+96
Vertices12+16+48+48+48
Vertex figure48+48+48 phyllic disphenoids, 16 triangular gyrotegums, 12 square gyrotegums
Measures (edge length 1)
Central density1
Related polytopes
DualTriangular-square tetraswirlprism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
Symmetry(I2(12)×I2(16))+/4, order 96
ConvexYes
NatureTame

The triangular-square tetraswirltegum is a convex isochoric polychoron and member of the duoprismatic swirltegum family with 48 identical cells.

Each cell of this polychoron has bilateral symmetry, with 2 mirror-symmetric octagons, 6 kites, and 4 isosceles triangles for faces.