Hexagonal triotegum

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Hexagonal triotegum
File:Hexagonal triotegum.png
Rank6
TypeNoble
Notation
Bowers style acronymHittit
Coxeter diagramm6o2m6o2m6o
Elements
Peta216 digonal trisphenoids
Tera648 tetragonal disphenoidal pyramids
Cells648 digonal disphenoids, 108 tetragonal disphenoids
Faces216 isosceles triangles, 216 triangles
Edges18+108
Vertices18
Vertex figureHexagonal duotegmatic tegum
Measures (based on hexagons of edge length 1)
Edge lengthsBase (18): 1
 Lacing (108):
Circumradius1
Inradius
Central density1
Related polytopes
ArmyHittit
RegimentHittit
DualHexagonal trioprism
ConjugateHexagonal triotegum
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryG2≀S3, order 10368
ConvexYes
NatureTame

The hexagonal triotegum is a noble triotegum that consists of 216 digonal trisphenoids and 18 vertices. 72 facets join at each vertex. It is also the 18-5-7 step prism.

The ratio between the longest and shortest edges is 1: ≈ 1:1.41421.