Blendic tetrishecatonicosachoron

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Blendic tetrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymBathi
Elements
Cells120 gissid, 120 doe, 120 raded, 120 quitdid
Faces3600 squares, 1440 pentagons, 1440 pentagrams, 720 decagons, 720 decagrams
Edges1200+3600+3600
Vertices2400
Measures (edge length 1)
Circumradius
Number of external pieces138360
Level of complexity307
Related polytopes
ArmySidpixhi
RegimentSabbadipady
ConjugateBathi
Abstract & topological properties
Euler characteristic1440
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The blendic tetrishecatonicosachoron, or bathi, is a nonconvex uniform polychoron that consists of 120 great stellated dodecahedra, 120 dodecahedra, 120 rhombidodecadodecahedra, and 120 quasitruncated dodecadodecahedra. One great stellated dodecahedron, one dodecahedron, three rhombidodecadodecahedra, and six quasitruncated dodecadodecahedra join at each vertex.

Cross-sections[edit | edit source]

Card with cell counts, vertex figure, and cross-sections.


Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the small blendic disprismatodishecatonicosachoron.

External links[edit | edit source]