# Tetracontatetragon

Tetracontatetragon
Rank2
TypeRegular
SpaceSpherical
Notation
Coxeter diagramx44o
Schläfli symbol{44}
Elements
Edges44
Vertices44
Measures (edge length 1)
Circumradius${\displaystyle \frac{1}{2\sin\frac{\pi}{44}} ≈ 7.00877}$
Inradius${\displaystyle \frac{1}{2\tan\frac{\pi}{44}} ≈ 6.99091}$
Area${\displaystyle \frac{11}{\tan\frac{\pi}{44}} ≈ 153.80010}$
Angle${\displaystyle \frac{21\pi}{22} ≈ 171.81818°}$
Central density1
Related polytopes
Army{44}
DualTetracontatetragon
Abstract properties
Euler characteristic0
Topological properties
OrientableYes
Properties
SymmetryI2(44), order 88
ConvexYes
NatureTame

The tetracontatetragon is a polygon with 44 sides. A regular tetracontatetragon has equal sides and equal angles.

A circle with radius 7 centered at the center of the tetracontatetragon intersects its sides. This is related to the fact that 44/7 ≈ 2π.