Sphenoidal-pyramidal triacosihexecontateron

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Sphenoidal-pyramidal triacosihexecontateron
Rank5
TypeUniform dual
Notation
Coxeter diagramm3m3m3m3o ()
Elements
Tera360 sphenoidal pyramids
Cells180+180+180 sphenoids, 360 irregular tetrahedra
Faces60+60+90 isosceles triangles, 120+120+180+180 scalene triangles
Edges15+30+30+60+60+60+60
Vertices6+6+15+20
Vertex figure6 disphenoidal hecatonicosachora, 6 sphenoidal hexecontachora, 15 triakis tetrahedral tegum, 20 triangular-hexagonal duotegums
Measures (edge length 1)
Central density1
Related polytopes
DualGreat prismated hexateron
Abstract & topological properties
Flag count43200
Euler characteristic2
OrientableYes
Properties
SymmetryA5, order 720
Flag orbits60
ConvexYes
NatureTame

The sphenoidal-pyramidal triacosihexecontateron is a convex isotopic 5-polytope with 360 identical sphenoidal pyramids as facets. It can be obtained as the dual of the great prismated hexateron.