Triangular triotegum

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Triangular triotegum
File:Triangular triotegum.png
Rank6
TypeNoble
Notation
Bowers style acronymTrittit
Coxeter diagramm3o2m3o2m3o
Elements
Peta27 digonal trisphenoids
Tera81 tetragonal disphenoidal pyramids
Cells81 digonal disphenoids, 27 tetragonal disphenoids
Faces54 isosceles triangles, 27 triangles
Edges9+27
Vertices9
Vertex figureTriangular duotegmatic tegum
Measures (based on triangles of edge length 1)
Edge lengthsLacing (27):
 Base (9): 1
Circumradius
Inradius
Central density1
Related polytopes
ArmyTrittit
RegimentTrittit
DualTriangular trioprism
ConjugateTriangular triotegum
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryA2≀S3, order 1296
ConvexYes
NatureTame

The triangular triotegum is a noble triotegum that consists of 27 digonal trisphenoids and 9 vertices. 18 facets join at each vertex. It is also the 9-2-4 step prism.

The ratio between the longest and shortest edges is 1: ≈ 1:1.22474.