The measure of each internal angle of a regular tridecagon is approximately 152.308 degrees, and the area with side length a is given by As 13 is a Pierpont prime but not a Fermat prime, the regular tridecagon cannot be constructed using a compass and straightedge.
according to Andrew M. Gleason,[1] based on the angle trisection by means of the Tomahawk (light blue).
An approximate construction of a regular tridecagon using straightedge and compass is shown here.
At a circumscribed circle of radius r = 1 billion km (a distance which would take light approximately 55 minutes to travel), the absolute error on the side length constructed would be less than 1 mm.
Cyclic symmetries in the middle column are labeled as g for their central gyration orders.
A regular tridecagon (triskaidecagon) with radius of circumcircle
as an animation (1 min 44 s),
angle trisection by means of the Tomahawk (light blue). This construction is derived from the following equation:
An Approximate Tridecagon Construction.
Tridecagon, approximate construction as an animation (3 min 30 s)
Symmetries of a regular tridecagon. Vertices are colored by their symmetry positions. Blue mirrors are drawn through vertices and edge. Gyration orders are given in the center.