21-8 gyrochoron

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21-8 gyrochoron
Rank4
TypeIsotopic
Elements
Cells21 16-vertex decahedra
Faces42 kites, 42 mirror-symmetric pentagons, 21 rectangular-symmetric hexagons
Edges42+42+84
Vertices42+42
Vertex figure42+42 phyllic disphenoids
Measures (edge length 1)
Central density1
Related polytopes
Dual21-8 step prism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryS2(I2(21)-8)×2R, order 84
ConvexYes
NatureTame

The 21-8 gyrochoron, also known as the triswirl 21, is a convex isochoric polychoron with 21 identical cells.

Each cell of this polychoron has chiral digonal prismatic symmetry, with 2 rectangular-symmetric hexagons, 4 mirror-symmetric pentagons, and 4 kites for faces.

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