16-4 gyrochoron

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16-4 gyrochoron
Rank4
TypeIsotopic
Elements
Cells16 ridge-truncated tetragonal antiwedges
Faces16+16 isosceles triangles, 16 kites, 16 mirror-symmetric hexagons
Edges4+16+32+32
Vertices4+16+16
Vertex figure16+16 phyllic disphenoids, 4 square gyrotegums
Measures (edge length 1)
Central density1
Related polytopes
Dual16-4 step prism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryS2(I2(16)-4), order 32
ConvexYes
NatureTame

The 16-4 gyrochoron, also known as the square tetracoil, is a convex isochoric polychoron and member of the gyrochoron family with 16 ridge-truncated tetragonal antiwedges as cells.

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

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