# Petrial hexagonal duocomb

Petrial hexagonal duocomb
Rank3
Dimension4
TypeRegular
Notation
Schläfli symbol
• {4,4∣3}π
• {12,4}4,6
Elements
Faces12 dodecagonal-dodecagrammic coils
Edges72
Vertices36
Vertex figureSkew square, edge length ${\displaystyle {\sqrt {2}}}$, length 1 between opposite vertices
Petrie polygons36 squares
Measures (edge length 1)
Circumradius${\displaystyle {\sqrt {2}}\approx 1.41421}$
Related polytopes
ArmyHiddip
RegimentHiddip
Petrie dualHexagonal duocomb
Convex hullHexagonal duoprism
Abstract & topological properties
Flag count288
Euler characteristic-24
Schläfli type{12,4}
OrientableYes
Genus13
Properties
SymmetryG2≀S2, order 72
Flag orbits1
ConvexNo
Dimension vector(2,2,3)

The Petrial hexagonal duocomb is a regular skew polyhedron in 4-dimensional Euclidean space.

## Vertex coordinates

The vertex coordinates of the Petrial hexagonal duocomb are the same as those of the hexagonal duoprism.

## Related polytopes

Since the Petrial hexagonal duocomb has rational coordinates its apeir, the Petrial apeir hexagonal duocomb, is discrete.