Generalized 4-gons are also called generalized quadrangles, and, certainly in the finite case, they are considered as being the main players in the class of generalized n-gons, and one of the most studied types of incidence geometries.

See also [13] for a detailed discussion regarding parameters of generalized n-gons.

Work counterclockwise on that N-gon through the next N-1 vertices (to [N-1, N-1]), then move to [N-2, N-1] on the next outer N-gon.

The procedure can be summarized as jump from the beginning point on the first N-gon encountered to the most inside N-gon, work counterclockwise, fall back one N-gon, work counterclockwise, etc.

n] denote the space of twisted

n-gons modulo projective equivalence.

Simpson (1990) suggests looking for convex lattice

n-gons which have minimal area for given n.

For over 2000 years no other constructible

n-gons were known.