Petrial hexagonal tiling honeycomb

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Petrial hexagonal tiling honeycomb
Rank4
Dimension3
SpaceHyperbolic
Notation
Schläfli symbol{6,3,3}π
Elements
Cells3 {6,4∣6}
Faces12N  hexagons
Edges36N 
Vertices18N 
Vertex figurePetrial tetrahedron
Measures (edge length 1)
Circumradius
Related polytopes
ArmyHexah
RegimentHexah
CompanyHexah
Petrie dualHexagonal tiling honeycomb
Convex hullHexagonal tiling honeycomb
Abstract & topological properties
Flag count144N 
Schläfli type{6,4,3}
OrientableNo
Properties
Symmetry[6,3,3]
ConvexNo
Dimension vector(2,1,2,2)

The Petrial hexagonal tiling honeycomb is a paracompact regular skew honeycomb in 3-dimensional hyperbolic space. It has three {6,4∣6} cells. It is the Petrie dual of the hexagonal tiling honeycomb.