13-3 gyrochoron

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13-3 gyrochoron
Rank4
TypeIsotopic
Elements
Cells13 16-vertex decahedra
Faces13+13 isosceles triangles, 13 kites, 13 mirror-symmetric hexagons, 13 mirror-symmetric octagons
Edges13+13+26+26+26
Vertices13+13+13+13
Vertex figure13+13+13+13 phyllic disphenoids
Measures (edge length 1)
Central density1
Related polytopes
Dual13-3 step prism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryS2(I2(13)-3), order 26
ConvexYes
NatureTame

The 13-3 gyrochoron, also known as rocky 13, is a convex isochoric polychoron and member of the gyrochoron family with 13 identical cells. It can also be constructed as the 13-4 gyrochoron.

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

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