Noble faceting of decachoron

Noble faceting of decachoron
Rank	4
Type	Noble
Space	Spherical
Elements
Cells	40 facetings of triangular cupola with 3 bowties and 2+6 triangles
Faces	40 equilateral triangles, 120 isosceles triangles, 60 bowties
Edges	60+120 4-fold
Vertices	30
Vertex figure	Polyhedron with 4 butterflies and 8 irregular tetragons
Measures (based on decachoron with edge length 1)
Edge length	120× $\sqrt3 \approx 1.73205$ 60× $\sqrt7 \approx 2.64575$
Circumradius	$\sqrt2 \approx 1.41421$
Volume	$0$
Related polytopes
Army	Deca
Dual	Decachoric noble 4b
Convex core	Biapiculatodecachoron
Abstract & topological properties
Orientable	Yes
Properties
Symmetry	A4×2, order 240
Convex	No
Nature	Tame

Gallery

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  Cross-sections

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  Cell