Hexagonal duocomb

Hexagonal duocomb
Rank	3
Dimension	4
Type	Regular
Notation
Schläfli symbol	{4,4∣6} $\{4,4\}_{(6,0)}$
Elements
Faces	36 squares
Edges	72
Vertices	36
Vertex figure	Skew square
Petrie polygons	12 dodecagonal-square coils $\left\{{\frac {12}{1,2}}\right\}$
Measures (edge length 1)
Circumradius	${\sqrt {2}}\approx 1.41421$
Surface area	36
Dihedral angle	${\frac {2\pi }{3}}=120^{\circ }$
Related polytopes
Army	Hiddip
Regiment	Hiddip
Dual	Hexagonal duocomb
Petrie dual	Petrial hexagonal duocomb
Halving	Halved hexagonal duocomb
Convex hull	Hexagonal duoprism
Abstract & topological properties
Flag count	288
Euler characteristic	0
Schläfli type	{4,4}
Surface	Flat torus
Orientable	Yes
Genus	1
Properties
Symmetry	G2≀S2, order 288
Convex	No
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.

External links

• Hartley, Michael. "{4,4}*288".