Noble faceting of small prismatodecachoron 1

Noble faceting of small prismatodecachoron 1
Rank	4
Type	Noble
Space	Spherical
Elements
Cells	60 crossed butterfly wedges
Faces	120 isosceles triangles 60 bowties
Edges	60 4-fold 60 6-fold
Vertices	20
Vertex figure	Polyhedron with 12 scalene triangles and 6 butterflies
Measures (based on small prismatodecachoron with edge length 1)
Edge lengths	60× $\sqrt3 \approx 1.73205$ (4-fold)
	60× $\sqrt2 \approx 1.41421$ (6-fold)
Circumradius	$1$
Volume	$0$
Related polytopes
Army	Spid
Dual	Decachoric noble 1b
Abstract & topological properties
Orientable	Yes
Properties
Symmetry	A4×2, order 240
Convex	No
Nature	Tame

This noble polychoron is the vertex figure of an Euclidean tetracomb in the cyclopentachoric tetracomb regiment. The edges are then verfs of squares and hexagons, the triangles verfs of hexagonal prisms, the bowties verfs of cubohemioctahedra, and the cells verfs of grand rhombic prismatopentachora.