Decagonal duotegum

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Decagonal duotegum
Rank4
TypeNoble
SpaceSpherical
Bowers style acronymDedit
Info
Coxeter diagramm10o2m10o
SymmetryI2(10)≀S2, order 800
ArmyDedit
RegimentDedit
Elements
Vertex figureDecagonal tegum
Cells100 tetragonal disphenoids
Faces200 isosceles triangles
Edges20+100
Vertices20
Measures (based on decagons of edge length 1)
Edge lengthsBase (20): 1
 Lacing (100):
Circumradius
Inradius
Central density1
Euler characteristic0
Related polytopes
DualDecagonal duoprism
ConjugateDecagrammic duotegum
Properties
ConvexYes
OrientableYes
NatureTame

The decagonal duotegum or dedit, also known as the decagonal-decagonal duotegum, the 10 duotegum, or the 10-10 duotegum, is a noble duotegum that consists of 100 tetragonal disphenoids and 20 vertices, with 20 cells joining at each vertex. It is also the 20-9 step prism. It is the first in an infinite family of isogonal decagonal hosohedral swirlchora and also the first in an infinite family of isochoric decagonal dihedral swirlchora.

Vertex coordinates[edit | edit source]

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