Enneagonal trioprism

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Enneagonal trioprism
Rank6
TypeUniform
Notation
Bowers style acronymEttip
Coxeter diagramx9o x9o x9o
Elements
Peta27 enneagonal duoprismatic prisms
Tera243 square-enneagonal duoprisms, 27 enneagonal duoprisms
Cells729 cubes, 486 enneagonal prisms
Faces2187 squares, 243 enneagons
Edges2187
Vertices729
Vertex figureDigonal trisphenoid
Measures (edge length 1)
Circumradius
Inradius
Hypervolume
Dipetal anglesEep–edip–eep: 140°
 Eep–sendip–eep: 90°
Central density1
Number of external pieces27
Level of complexity15
Related polytopes
ArmyEttip
RegimentEttip
DualEnneagonal triotegum
ConjugatesEnneagrammic trioprism, great enneagrammic trioprism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryI2(9)≀S3, order 34992
ConvexYes
NatureTame

The enneagonal trioprism or ettip is a convex uniform trioprism that consists of 27 enneagonal duoprismatic prisms as facets. 6 facets join at each vertex. It is also the 27-8-10 gyropeton.