# Pentagonal duocomb

Pentagonal duocomb
Rank3
Dimension4
TypeRegular
Notation
Schläfli symbol{4,4∣5}
${\displaystyle \{4,4\}_{(5,0)}}$
Elements
Faces25 squares
Edges50
Vertices25
Petrie polygons10 decagonal-pentagonal coils
${\displaystyle \left\{{\dfrac {10}{1,2}}\right\}}$
Measures (edge length 1)
Circumradius${\displaystyle {\sqrt {\frac {5+{\sqrt {5}}}{5}}}\approx 1.20300}$
Surface area25
Dihedral angle${\displaystyle {\frac {3\pi }{5}}=108^{\circ }}$
Related polytopes
ArmyPedip
RegimentPedip
DualPentagonal duocomb
Petrie dualPetrial pentagonal duocomb
HalvingHalved pentagonal duocomb
ConjugatePentagrammic duocomb
Convex hullPentagonal duoprism
Abstract & topological properties
Flag count200
Euler characteristic0
Schläfli type{4,4}
SurfaceFlat torus
OrientableYes
Genus1
Properties
SymmetryH2≀S2, order 200
ConvexNo
Dimension vector(3,2,3)

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∣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.