12-4 gyrochoron

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12-4 gyrochoron
Rank4
TypeIsotopic
Elements
Cells12 tetragonal antiwedges
Faces12+12 isosceles triangles, 12 kites
Edges3+12+24
Vertices3+12
Vertex figure12 phyllic disphenoids, 3 square gyrotegums
Measures (edge length 1)
Central density1
Related polytopes
Dual12-4 step prism
Abstract & topological properties
Flag count480
Euler characteristic0
OrientableYes
Properties
SymmetryS2(I2(12)-4), order 24
ConvexYes
NatureTame

The 12-4 gyrochoron, also known as the trigon tetracoil, is a convex isochoric polychoron and member of the gyrochoron family with 12 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]