17-3 gyrochoron

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17-3 gyrochoron
Rank4
TypeIsotopic
Elements
Cells17 20-vertex dodecahedra
Faces17 isosceles triangles, 17+17+17 kites, 17 mirror-symmetric pentagons, 17 mirror-symmetric decagons
Edges17+17+34+34+34+34
Vertices17+17+17+17+17
Vertex figure17+17+17+17+17 phyllic disphenoids
Measures (edge length 1)
Central density1
Related polytopes
Dual17-3 step prism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryS2(I2(17)-3), order 34
ConvexYes
NatureTame

The 17-3 gyrochoron, also known as gyrus 17, is a convex isochoric polychoron and member of the gyrochoron family with 17 identical cells. It can also be constructed as the 17-6 gyrochoron.

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

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