14-4 gyrochoron

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14-4 gyrochoron
Rank4
TypeIsotopic
Elements
Cells14 14-vertex enneahedra
Faces14 isosceles triangles, 14 kites, 7 rhombi, 14+14 mirror-symmetric hexagons
Edges14+28+28+28
Vertices7+14+14+14
Vertex figure14+14+14 phyllic disphenoids, 7 rhombic disphenoids
Measures (edge length 1)
Central density1
Related polytopes
Dual14-4 step prism
Abstract & topological properties
Flag count1176
Euler characteristic0
OrientableYes
Properties
SymmetryS2(I2(14)-4), order 28
Flag orbits42
ConvexYes
NatureTame

The 14-4 gyrochoron, also known as rocky 14, is a convex isochoric polychoron and member of the gyrochoron family with 14 identical cells.

Each cell of this polychoron has bilateral symmetry, with 4 mirror-symmetric hexagons, 1 rhombus, 2 kites, and 2 isosceles triangles for faces.

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