19-7 gyrochoron

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19-7 gyrochoron
19die funky.png
Rank4
TypeIsotopic
SpaceSpherical
Elements
Cells19 edge-laterostellated heptagonal prisms
Faces19+19+19 kites, 19 mirror-symmetric pentagons, 19 mirror-symmetric heptagons
Edges19+19+38+38+38+38
Vertices19+19+19+19
Vertex figure19+19+19+19 phyllic disphenoids
Measures (edge length 1)
Central density1
Related polytopes
Dual19-7 step prism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryS2(I2(19)-7), order 38
ConvexYes
NatureTame

The 19-7 gyrochoron, also known as funky 19, is a convex isochoric polychoron and member of the gyrochoron family with 19 edge-laterostellated heptagonal prisms as cells. It can also be constructed as the 19-8 gyrochoron. It is also the heptagonal funk prism.

Each cell of this polychoron has bilateral symmetry, with 2 mirror-symmetric heptagons, 2 mirror-symmetric pentagons, and 6 kites for faces.

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