Pentachoric trischilliaoctacositetracontateron

From Polytope Wiki
Jump to navigation Jump to search
Pentachoric trischilliaoctacositetracontateron
Rank5
TypeUniform dual
Notation
Coxeter diagramm4m3m3m3m ()
Elements
Tera3840 irregular pentachora
Cells5×1920 irregular tetrahedra
Faces480+3×640+6×960 scalene triangles
Edges80+160+160+240+240+4×320+480
Vertices10+32+40+80+80
Vertex figure10 tetrahedral triacosioctacontatetrachora, 32 disphenoidal hecatonicosachora, 40 disdyakis dodecahedral tegums, 80 tetrakis hexahedral tegums, 80 hexagonal-octagonal duotegums
Measures (edge length 1)
Central density1
Related polytopes
DualGreat cellipenteractitriacontaditeron
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
SymmetryB5, order 3840
ConvexYes
NatureTame

The pentachoric trischilliaoctacositetracontateron is a convex isotopic 5-polytope with 3840 identical irregular pentachora as facets. It can be obtained as the dual of the great cellipenteractitriacontaditeron.