# Hexagonal duocomb

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Hexagonal duocomb
Rank3
Dimension4
TypeRegular
Notation
Schläfli symbol{4,4∣6}
${\displaystyle \{4,4\}_{(6,0)}}$
Elements
Faces36 squares
Edges72
Vertices36
Vertex figureSkew square
Petrie polygons12 dodecagonal-dodecagrammic coils
${\displaystyle \left\{{\dfrac {12}{1,5}}\right\}}$
Measures (edge length 1)
Circumradius${\displaystyle {\sqrt {2}}\approx 1.41421}$
Surface area36
Dihedral angle${\displaystyle {\frac {2\pi }{3}}=120^{\circ }}$
Related polytopes
ArmyHiddip
RegimentHiddip
DualHexagonal duocomb
Petrie dualPetrial hexagonal duocomb
HalvingHalved hexagonal duocomb
Convex hullHexagonal duoprism
Abstract & topological properties
Flag count288
Euler characteristic0
Schläfli type{4,4}
SurfaceFlat torus
OrientableYes
Genus1
Properties
SymmetryG2≀S2, order 288
Flag orbits1
ConvexNo
Dimension vector(3,2,3)

The hexagonal duocomb is a regular skew polyhedron found within four-dimensional Euclidean space. It can be formed as the comb product of two hexagons, or the from the extended Schläfli symbol {4,4∣6}. It is a self-dual polyhedron.

## Vertex coordinates

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