Octadecadiminished pentacontatetrapeton

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Octadecadiminished pentacontatetrapeton
Rank6
TypeScaliform
Notation
Bowers style acronymOddimo
Coxeter diagramxo3ox xo3ox xo3ox&#zx
Elements
Peta54 triangular duoantifastegiums, 18 triangular duoantifastegiaprisms
Tera162 square scalenes, 216 triangular antifastegiums, 18 triangular duoprisms
Cells324 tetrahedra, 324 square pyramids, 108 triangular prisms, 108 octahedra
Faces54+648 triangles, 162 squares
Edges162+216
Vertices54
Vertex figureTrisphenodiminished dodecateron
Measures (edge length 1)
Circumradius1
Hypervolume
Central density1
Related polytopes
DualOctadecastellated bidodecateric heptacontadipeton
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
Symmetry(A2≀S3)×2, order 2592
ConvexYes
NatureTame

The octadecadiminished pentacontatetrapeton or oddimo, also known as the bitriangular trioprism, triangular trioalterprism, or bittip, is a convex scaliform polypeton that consists of 18 triangular duoantifastegiaprisms and 54 triangular duoantifastegiums. 6 triangular duoantifastegiaprisms and 12 triangular duoantifastegiums join at each vertex. It can be formed from deleting the vertices of a hexagonal triotegum from a pentacontatetrapeton, that is, removing 18 dodecateric pyramids. It can equivalently be obtained as the convex hull of two tri-orthogonal triangular trioprisms. It is the second member of the bitrioprisms formed from the convex hull of two rotated trioprisms and the only convex scaliform one. It is the second in an infinite family of isogonal triangular dihedral swirlpeta.

Vertex coordinates[edit | edit source]

The vertices of an octadecadiminished pentacontatetrapeton of edge length 1 are given by:

These coordinates show that an octadecadiminished pentacontatetrapeton can be obtained as the convex hull of two inversely oriented triangular trioprisms.

External links[edit | edit source]