Pentagonal duocomb

Pentagonal duocomb
Rank	3
Type	Regular
Space	Spherical, 4-dimensional
Notation
Schläfli symbol	$\{4,4\mid 5\}$ $\{4,4\}_{(5,0)}$
Elements
Faces	25 squares
Edges	50
Vertices	25
Measures (edge length 1)
Circumradius	$\sqrt{\frac{5+\sqrt{5}}{5}} \approx 1.20300$
Surface area	25
Dihedral angle	$\frac{3\pi}{5} = 108^\circ$
Related polytopes
Army	Pedip
Regiment	Pedip
Dual	Pentagonal duocomb
Conjugate	Pentagrammic duocomb
Abstract properties
Flag count	200
Euler characteristic	0
Schläfli type	{4,4}
Topological properties
Surface	Flat torus
Orientable	Yes
Genus	1
Properties
Convex	No

The pentagonal duocomb is a regular skew polyhedron found within four-dimensional Euclidean space. It can be formed as the comb product of two pentagons, or the from the extended Schläfli symbol $\{4,4\mid 5\}$. It has 25 square faces, 50 edges, and 25 vertices. It is a self-dual polyhedron.

Vertex coordinates

Its vertex coordinates are the same as those of the pentagonal duoprism.

External links

• Hartley, Michael. "{4,4}*200".