16-6 gyrochoron

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16-6 gyrochoron
Rank4
TypeIsotopic
Elements
Cells16 edge-laterostellated hexagonal prisms
Faces16+16 kites, 8 rhombi, 16 mirror-symmetric pentagons, 16 mirror-symmetric hexagons
Edges16+32+32+32
Vertices8+16+16+16
Vertex figure16+16+16 phyllic disphenoids, 8 rhombic disphenoids
Measures (edge length 1)
Central density1
Related polytopes
Dual16-6 step prism
Abstract & topological properties
Flag count1344
Euler characteristic0
OrientableYes
Properties
SymmetryS2(I2(16)-6), order 32
Flag orbits42
ConvexYes
NatureTame

The 16-6 gyrochoron, also known as funky 16, is a convex isochoric polychoron and member of the gyrochoron family with 16 edge-laterostellated hexagonal prisms as cells. It is also the hexagonal funk prism.

Each cell of this polychoron has bilateral symmetry, with 2 mirror-symmetric hexagons, 2 mirror-symmetric pentagons, 1 rhombus, and 4 kites for faces.

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