Petrial order-4 hexagonal tiling honeycomb

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Petrial order-4 hexagonal tiling honeycomb
Rank4
Dimension3
SpaceHyperbolic
Notation
Schläfli symbol{6,3,4}π
Elements
Cells4 {6,6∣6}
Faces4N  hexagons
Edges12N 
Vertices4N 
Vertex figurePetrial octahedron
Measures (edge length 1)
Circumradius
Related polytopes
Petrie dualOrder-4 hexagonal tiling honeycomb
Abstract & topological properties
Flag count48N 
Schläfli type{6,6,4}
OrientableNo
Properties
Symmetry[6,3,4]
ConvexNo
Dimension vector(2,1,2,2)

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