15-4 gyrochoron

15-4 gyrochoron
Rank	4
Type	Isotopic
Space	Spherical
Elements
Cells	15 paratetratruncated rhombic prisms
Faces	30 isosceles triangles, 30 mirror-symmetric hexagons, 15 rectangular-symmetric hexagons
Edges	30+30+60
Vertices	30+30
Vertex figure	30+30 phyllic disphenoids
Measures (edge length 1)
Central density	1
Related polytopes
Dual	15-4 step prism
Abstract & topological properties
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	S2(I2(15)-4)×2R, order 60
Convex	Yes
Nature	Tame

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.

External links

• Bowers, Jonathan. "Four Dimensional Dice Up To Twenty Sides".