Tetradecagon

Tetradecagon
(OFF file)
Rank	2
Type	Regular
Space	Spherical
Notation
Bowers style acronym	Ted
Coxeter diagram	x14o
Schläfli symbol	{14}
Elements
Edges	14
Vertices	14
Vertex figure	Dyad, length 2cos(π/14)
Measures (edge length 1)
Circumradius	$\frac{1}{2\sin\frac{\pi}{14}} ≈ 2.24698$
Inradius	$\frac{1}{2\tan\frac{\pi}{14}} ≈ 2.19064$
Area	$\frac{7}{2\tan\frac{\pi}{14}} ≈ 15.33450$
Angle	$\frac{6\pi}{7} ≈ 154.28571°$
Central density	1
Number of pieces	14
Level of complexity	1
Related polytopes
Army	Ted
Dual	Tetradecagon
Conjugates	Tetradecagram, great tetradecagram
Abstract properties
Euler characteristic	0
Topological properties
Orientable	Yes
Properties
Symmetry	I2(14), order 28
Convex	Yes
Nature	Tame

The tetradecagon is a polygon with 14 sides. A regular tetradecagon has equal sides and equal angles.

It has two non-compound stellations, these being the tetradecagram and the great tetradecagram.

It is the uniform truncation of the heptagon.

Vertex coordinates

Coordinates for a regular tetradecagon of edge length 2sin(π/14), centered at the origin, are:

• (±1, 0),
• (±cos(π/7), ±sin(π/7)),
• (±cos(2π/7), ±sin(2π/7)),
• (±cos(3π/7), ±sin(3π/7)).

Stellations

• Stellated tetradecagon (compound of 2 heptagons)
• Tetradecagram
• Stellated tetradecagram (compound of 2 heptagrams)
• Great tetradecagram
• Stellated great tetradecagram (compound of 2 great heptagrams)

External links

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

• Wikipedia Contributors. "Tetradecagon".