Regular tetradecagon  

A regular tetradecagon


Type  Regular polygon 
Edges and vertices  14 
Schläfli symbol  {14}, t{7} 
Coxeter diagram  
Symmetry group  Dihedral (D_{14}), order 2×14 
Internal angle (degrees)  ≈154.2857° 
Dual polygon  Self 
Properties  Convex, cyclic, equilateral, isogonal, isotoxal 
A tetradecagon or 14gon is a shape with 14 sides and 14 corners.
Regular tetradecagon
A regular tetradecagon has Schläfli symbol {14} and can be constructed as a quasiregular truncated heptagon, t{7}, which alternates two types of edges.
Area
The amount of space a regular tetradecagon takes up is
The area of a regular tetradecagon of side length a is given by
a is the length of one of its sides.
Dissection
Coxeter states that every parallelsided 2mgon can be divided into m(m1)/2 rhombs. For the regular tetradecagon, m=7, and it can be divided into 21: 3 sets of 7 rhombs. This decomposition is based on a Petrie polygon projection of a 7cube, with 21 of 672 faces. The list A006245 defines the number of solutions as 24698, including up to 14fold rotations and chiral forms in reflection.
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.
 Eric W. Weisstein, Tetradecagon at MathWorld.
