18-6 gyrochoron

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18-6 gyrochoron
Rank4
TypeIsotopic
Elements
Cells18 tetragonal antiwedges
Faces18+18 isosceles triangles, 18 kites
Edges3+18+36
Vertices3+18
Vertex figure18 phyllic disphenoids, 3 hexagonal gyrotegums
Measures (edge length 1)
Central density1
Related polytopes
Dual18-6 step prism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryS2(I2(18)-6), order 36
ConvexYes
NatureTame

The 18-6 gyrochoron, also known as the trigon hexacoil, is a convex isochoric polychoron and member of the gyrochoron family with 18 tetragonal antiwedges as cells.

Each cell of this polychoron has bilateral symmetry, with 2 kites and 4 isosceles triangles for faces.

Isogonal derivatives[edit | edit source]

Substitution by vertices of these following elements will produce these convex isogonal polychora:

External links[edit | edit source]