Great tetradecagram

Great tetradecagram
(OFF file)
Rank	2
Type	Regular
Space	Spherical
Notation
Bowers style acronym	Getag
Coxeter diagram	x14/5o
Schläfli symbol	{14/5}
Elements
Edges	14
Vertices	14
Vertex figure	Dyad, length 2cos(5π/14)
Measures (edge length 1)
Circumradius	$\frac{1}{2\sin\frac{5\pi}{14}} ≈ 0.55694$
Inradius	$\frac{1}{2\tan\frac{5\pi}{14}} ≈ 0.24079$
Area	$\frac{7}{2\tan\frac{5\pi}{14}} ≈ 1.68551$
Angle	$\frac{2\pi}{7} ≈ 51.42857^\circ$
Central density	5
Number of external pieces	28
Level of complexity	2
Related polytopes
Army	Ted, edge length $\frac{\sin\frac{\pi}{14}}{\cos\frac\pi7}$
Dual	Great tetradecagram
Conjugates	Tetradecagon, Tetradecagram
Convex core	Tetradecagon
Abstract & topological properties
Flag count	28
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	I2(14), order 28
Convex	No
Nature	Tame

The great tetradecagram, or getag, is a non-convex polygon with 14 sides. It's created by taking the fourth stellation of a tetradecagon. A regular great tetradecagram has equal sides and equal angles.

It is one of two regular 14-sided star polygons, the other being the tetradecagram.

It is the uniform quasitruncation of the heptagram.

External links

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

• Wikipedia Contributors. "Tetradecagram".