# Hexagonal duocomb

Hexagonal duocomb Rank3
Dimension4
TypeRegular
Notation
Schläfli symbol{4,4∣6}
$\{4,4\}_{(6,0)}$ Elements
Faces36 squares
Edges72
Vertices36
Vertex figureSkew square
Petrie polygons12 dodecagonal-square coils
$\left\{{\frac {12}{1,2}}\right\}$ Measures (edge length 1)
Circumradius${\sqrt {2}}\approx 1.41421$ Surface area36
Dihedral angle${\frac {2\pi }{3}}=120^{\circ }$ 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
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.