15-2 gyrochoron

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15-2 gyrochoron
15die mobius.png
Rank4
TypeIsotopic
SpaceSpherical
Info
SymmetryI2(15)+×2×I, order 30
Elements
Vertex figure15+15+15+15+15+15 phyllic disphenoids
Cells15 ridge-quadritruncated edge-truncated tetrahedra
Faces15 isosceles triangles, 15+15+15+15+15 kites, 15 mirror-symmetric tridecagons
Edges15+15+30+30+30+30+30
Vertices15+15+15+15+15+15
Central density1
Euler characteristic0
Related polytopes
Dual15-2 step prism
Properties
ConvexYes
OrientableYes
NatureTame

The 15-2 gyrochoron, also known as mobius 15, is a convex isochoric polychoron and member of the gyrochoron family with 15 ridge-quadritruncated edge-truncated tetrahedra as cells. It can also be constructed as the 15-7 gyrochoron.

Each cell of this polychoron has mirror symmetry, with 2 tridecagons, 10 tetragons, and 2 triangles for faces, and shares a face with every other cell.

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