Great triangular-antitegmatic pyramidal hexacositetracontateron

From Polytope Wiki
Jump to navigation Jump to search
Great triangular-antitegmatic pyramidal hexacositetracontateron
Rank5
TypeUniform dual
Notation
Coxeter diagramm4m3o3o3m
Elements
Tera640 triangular antitegmatic pyramids
Cells960+960 kite pyramids, 320 triangular antitegums
Faces640+640+960 scalene triangles, 240+480 kites
Edges80+160+160+240+320+320+320
Vertices10+32+40+80+80
Vertex figure10 tetrakis hexadecachora, 32 triangular-antitegmatic icosachora, 40 triakis octahedral tegums, 40 tetrahedral tegums, 80 triangular-octagonal duotegums
Measures (edge length 1)
Central density1
Related polytopes
DualCelliprismated triacontaditeron
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
SymmetryBC5, order 3840
ConvexYes
NatureTame

The great triangular-antitegmatic pyramidal hexacositetracontateron is a convex isoteric polyteron with 640 identical triangular antitegmatic pyramids as tera. It can be obtained as the dual of the celliprismated triacontaditeron.