Tetradecagon

Template:Even polygon stat table In geometry, a tetradecagon (or tetrakaidecagon) is a polygon with 14 sides and angles.

Regular tetradecagon

The area of a regular tetradecagon of side length a is given by

$A={\frac {14}{4}}a^{2}\cot {\frac {\pi }{14}}\simeq 15.3345a^{2}$

Numismatic use

The regular tetradecagon is used as the shape of some commemorative gold and silver Malaysian coins, the number of sides representing the 14 states of the Malaysian Federation.

Construction

A regular tetradecagon cannot be constructed using a compass and straightedge. The animation below gives an approximation of about 0.05° on the center angle:

Construction of an approximated regular tetradecagon

Petrie polygons

The regular tetradecagon is the Petrie polygon for many higher dimensional polytopes, shown in these skew orthogonal projections, including:

A13	13-simplex
BC7	7-orthoplex	Rectified 7-orthoplex	Birectified 7-orthoplex	Trirectified 7-cube	Birectified 7-cube	Rectified 7-cube	7-cube
BC7	(421)	t1(421)	t2(421)	t3(421)	(241)	t1(241)	(142)
D8	t6(151)	t5(151)	t4(151)	t3(151)	t2(151)	t1(151)	(151)

External links

• Weisstein, Eric W. "Tetradecagon". MathWorld.