Tetracontatetragon

Tetracontatetragon
Rank	2
Type	Regular
Space	Spherical
Notation
Coxeter diagram	x44o
Schläfli symbol	{44}
Elements
Edges	44
Vertices	44
Vertex figure	Dyad, length 2cos(π/44)
Measures (edge length 1)
Circumradius	$\frac{1}{2\sin\frac{\pi}{44}} ≈ 7.00877$
Inradius	$\frac{1}{2\tan\frac{\pi}{44}} ≈ 6.99091$
Area	$\frac{11}{\tan\frac{\pi}{44}} ≈ 153.80010$
Angle	$\frac{21\pi}{22} ≈ 171.81818°$
Central density	1
Related polytopes
Army	{44}
Dual	Tetracontatetragon
Abstract properties
Euler characteristic	0
Topological properties
Orientable	Yes
Properties
Symmetry	I2(44), order 88
Convex	Yes
Nature	Tame

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.

External links

• Bowers, Jonathan. "Regular Polygons and Other Two Dimensional Shapes".