n-Gon arose from that potential opportunity--the opportunity to develop a coordinated, fully integrated and multi-faceted marketing, Internet and print solutions business.

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.

simultaneously inscribed in the outer circle and circumscribed about the inner circle)

n-gon in a circular annulus, then any point of the outer circle is the vertex of some circuminscribed

n-gon.

Perhaps it becomes more persuasive when one considers an

n-gon generalisation of the problem, where each target dog does, to some extent, walk away from (or toward for n < 4) the pursuing dog.

The shape of a poristic

n-gon depends on the location of the initial point [Q.

25 holds also for any convex

n-gon with an interior pivotal point.

Simpson (1990) suggests looking for convex lattice

n-gons which have minimal area for given n.

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.

n] form vertices of a convex

n-gon (with clockwise order of the [p.

This is probably because there is a bijection between triangulations of the

n-gon and binary trees with n - 2 interior nodes.

This includes a nice demonstration of the fact known to Archimedes that the area of the inscribed regular 2

n-gon is numerically the same as half the perimeter of the inscribed regular

n-gon (p.

Let A be a twisted

n-gon indexed by Z, and let y = ([y.

Subsequently Gauss presented this result at the end of Disquistiones Arithmeticae, in which he proves the constructibility of the

n-gon for any n that is a prime of the form

In (1), the two extreme cases, k = n - 1 and k = 2n - 3, correspond to non-crossing spanning trees and

n-gon triangulations respectively.

x] denotes the

n-gon obtained as the convex hull of {[p.