15-6 gyrochoron

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15-6 gyrochoron
15die 15-6 gyro.png
Rank4
TypeIsotopic
SpaceSpherical
Info
SymmetryI2(15)+×2×I, order 30
Elements
Vertex figure5 trigonal trapezohedra, 15+15 phyllic disphenoids
Cells15 monolaterotriangulated pentagonal prisms
Faces15 isosceles triangles, 15+15 kites, 15 mirror-symmetric pentagons
Edges5+15+30+30
Vertices5+15+15
Central density1
Euler characteristic0
Related polytopes
Dual15-6 step prism
Properties
ConvexYes
OrientableYes
NatureTame

The 15-6 gyrochoron, also known as the pentagonal funk, is a convex isochoric polychoron and member of the gyrochoron family with 15 monolaterotriangulated pentagonal prisms as cells.

Each cell of this polychoron has mirror symmetry, with 2 pentagons, 4 tetragons, and 2 triangles for faces.

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