Dodecagonal duotegum

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Dodecagonal duotegum
Rank4
TypeNoble
Notation
Bowers style acronymTwaddit
Coxeter diagramm12o2m12o
Elements
Cells144 tetragonal disphenoids
Faces288 isosceles triangles
Edges24+144
Vertices24
Vertex figureDodecagonal tegum
Measures (based on dodecagons of edge length 1)
Edge lengthsBase (24): 1
 Lacing (144):
Circumradius
Inradius
Central density1
Related polytopes
ArmyTwaddit
RegimentTwaddit
DualDodecagonal duoprism
ConjugateDodecagrammic duotegum
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryI2(12)≀S2, order 1152
ConvexYes
NatureTame

The dodecagonal duotegum or twaddit, also known as the dodecagonal-dodecagonal duotegum, the 12 duotegum, or the 12-12 duotegum, is a noble duotegum that consists of 144 tetragonal disphenoids and 24 vertices, with 24 cells joining at each vertex. It is also the 24-11 step prism. It is the first in an infinite family of isogonal dodecagonal hosohedral swirlchora and also the first in an infinite family of isochoric dodecagonal dihedral swirlchora.

Vertex coordinates[edit | edit source]

The vertices of a dodecagonal duotegum based on 2 dodecagons of edge length 1, centered at the origin, are given by: