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.

[1] However, it is constructible using neusis with use of the angle trisector,[2] or with a marked ruler,[3] as shown in the following two examples.

Coxeter states that every zonogon (a 2m-gon whose opposite sides are parallel and of equal length) can be dissected into m(m-1)/2 parallelograms.

The list OEIS: A006245 defines the number of solutions as 24698, including up to 14-fold rotations and chiral forms in reflection.

A notable application of a fourteen-pointed star is in the flag of Malaysia, which incorporates a yellow {14/6} tetradecagram in the top-right corner, representing the unity of the thirteen states with the federal government.

Deeper truncations of the regular heptagon and heptagrams can produce isogonal (vertex-transitive) intermediate tetradecagram forms with equally spaced vertices and two edge lengths.

Tetradecagon with given circumcircle :
An animation (1 min 47 s) from a neusis construction with radius of circumcircle ,
according to Andrew M. Gleason , [ 2 ] based on the angle trisection by means of the tomahawk .
Tetradecagon with given side length :
An animation (1 min 20 s) from a neusis construction with marked ruler, according to David Johnson Leisk ( Crockett Johnson ). [ 3 ]
Symmetries of a regular tetradecagon. Vertices are colored by their symmetry positions. Blue mirrors are drawn through vertices, and purple mirrors are drawn through edge. Gyration orders are given in the center.
The flag of Malaysia
The flag of Malaysia, featuring a fourteen-pointed star