Enneagonal triotegum

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Enneagonal triotegum
File:Enneagonal triotegum.png
Rank6
TypeNoble
Notation
Bowers style acronymEttit
Coxeter diagramm9o2m9o2m9o
Elements
Peta729 digonal trisphenoids
Tera2187 tetragonal disphenoidal pyramids
Cells2187 digonal disphenoids, 243 tetragonal disphenoids
Faces486 isosceles triangles, 729 triangles
Edges27+243
Vertices27
Vertex figureEnneagonal duotegmatic tegum
Measures (based on enneagons of edge length 1)
Edge lengthsBase (27): 1
 Lacing (243):
Circumradius
Inradius
Central density1
Related polytopes
ArmyEttit
RegimentEttit
DualEnneagonal trioprism
ConjugatesEnneagrammic triotegum, great enneagrammic triotegum
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryI2(9)≀S3, order 34992
ConvexYes
NatureTame

The enneagonal triotegum or ettit is a noble triotegum that consists of 729 digonal trisphenoids and 27 vertices. 162 facets join at each vertex. It is also the 27-8-10 step prism.