15-4 gyrochoron

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15-4 gyrochoron
Rank4
TypeIsotopic
Elements
Cells15 paratetratruncated rhombic prisms
Faces30 isosceles triangles, 30 mirror-symmetric hexagons, 15 rectangular-symmetric hexagons
Edges30+30+60
Vertices30+30
Vertex figure30+30 phyllic disphenoids
Measures (edge length 1)
Central density1
Related polytopes
Dual15-4 step prism
Abstract & topological properties
Flag count1440
Euler characteristic0
OrientableYes
Properties
SymmetryS2(I2(15)-4)×2R, order 60
Flag orbits24
ConvexYes
NatureTame

The 15-4 gyrochoron, also known as the triswirl 15, is a convex isochoric polychoron and member of the gyrochoron family with 15 paratetratruncated rhombic prisms as cells.

Each cell of this polychoron has chiral digonal prismatic symmetry, with 2 rectangular-symmetric hexagons, 4 mirror-symmetric hexagons, and 4 isosceles triangles for faces.

Compared to other gyrochora with 15 cells, this polychoron has reflective doubled symmetry, because 15 is a factor of 42-1 = 15.

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