Great tetradecagram

Great tetradecagram
(OFF file)
Rank	2
Type	Regular
Notation
Bowers style acronym	Getag
Coxeter diagram	x14/5o ()
Schläfli symbol	{14/5}
Elements
Edges	14
Vertices	14
Vertex figure	Dyad, length $2\cos(5\pi /14)$
Measures (edge length 1)
Circumradius	${\frac {1}{2\sin {\frac {5\pi }{14}}}}\approx 0.55694$
Inradius	${\frac {1}{2\tan {\frac {5\pi }{14}}}}\approx 0.24079$
Area	${\frac {7}{2\tan {\frac {5\pi }{14}}}}\approx 1.68551$
Angle	${\frac {2\pi }{7}}\approx 51.42857^{\circ }$
Central density	5
Number of external pieces	28
Level of complexity	2
Related polytopes
Army	Ted, edge length ${\frac {\sin {\frac {\pi }{14}}}{\cos {\frac {\pi }{7}}}}$
Dual	Great tetradecagram
Conjugates	Tetradecagon, Tetradecagram
Convex core	Tetradecagon
Abstract & topological properties
Flag count	28
Euler characteristic	0
Schläfli type	{14}
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".