Noble faceting of small prismatodecachoron 2

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Revision as of 00:18, 19 August 2022 by Galoomba (talk | contribs) (Created page with "{{Infobox polytope |type=Noble |dim = 4 |cells = 120 skewed bowtie pyramids |faces = 120+120 isosceles triangles <br> 60 bowties |edges = 120 4-fold <br> 60 8-fold |vertices = 20 |army=Spid |symmetry = A<sub>4</sub>×2, order 240 |custom_measure = (based on small prismatodecachoron with edge length 1) |circum = <math>1</math> |el = 60× <math>\sqrt3 \approx 1.73205</math> |el2 = 120× <math>\sqrt2 \approx 1.41421</math> |volum...")
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Noble faceting of small prismatodecachoron 2
Rank4
TypeNoble
Elements
Cells120 skewed bowtie pyramids
Faces120+120 isosceles triangles
60 bowties
Edges120 4-fold
60 8-fold
Vertices20
Measures (based on small prismatodecachoron with edge length 1)
Edge lengths60×
 120×
Circumradius
Volume
Related polytopes
ArmySpid
DualDecachoric noble 2b
Abstract & topological properties
OrientableYes
Properties
SymmetryA4×2, order 240
ConvexNo
NatureTame

This fissary 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 and truncated octahedra, the bowties verfs of cubohemioctahedra, and the cells verfs of rhombiprismic dispentachora.