Enneagonal duotegum

From Polytope Wiki
Jump to navigation Jump to search
Enneagonal duotegum
Rank4
TypeNoble
Notation
Bowers style acronymEdit
Coxeter diagramm9o2m9o
Elements
Cells81 tetragonal disphenoids
Faces162 isosceles triangles
Edges18+81
Vertices18
Vertex figureEnneagonal tegum
Measures (based on enneagons of edge length 1)
Edge lengthsBase (18): 1
 Lacing (81):
Circumradius
Inradius
Central density1
Related polytopes
ArmyEdit
RegimentEdit
DualEnneagonal duoprism
ConjugatesEnneagrammic duotegum, great enneagrammic duotegum
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryI2(9)≀S2, order 648
ConvexYes
NatureTame

The enneagonal duotegum, also known as the enneagonal-enneagonal duotegum, the 9 duotegum, or the 9-9 duotegum, is a noble duotegum that consists of 81 tetragonal disphenoids and 18 vertices, with 18 cells joining at each vertex. It is also the 18-8 step prism. It is the first in an infinite family of isogonal enneagonal hosohedral swirlchora and also the first in an infinite family of isochoric enneagonal dihedral swirlchora.