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Except for convex polygons, every simple polygon has at least one mouth.
A random polygon is a polygon generated in some random way. Kendall conjectured that the shape of a random polygon is close to a disk as the area of the polygon becomes large ...
A conformal mapping from the upper half-plane to a polygon.
The edge of a polygon or face of a polyhedron are sometimes called sides.
Except for triangles, every simple polygon has at least two nonoverlapping ears.
The regular polygon of 17 sides is called the heptadecagon, or sometimes the heptakaidecagon. Gauss proved in 1796 (when he was 19 years old) that the heptadecagon is ...
A tiling of regular polygons (in two dimensions), polyhedra (three dimensions), or polytopes (n dimensions) is called a tessellation. Tessellations can be specified using a ...
Alexandrov's theorem addresses conditions under which a polygon will fold into a convex polyhedron (Malkevitch).
The apeirogon is an extension of the definition of regular polygon to a figure with an infinite number of sides. Its Schläfli symbol is {infty}. The apeirogon can produce a ...
The digon is the degenerate polygon (corresponding to a line segment) with Schläfli symbol {2}.
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