Starting with a point drawn on a square piece of paper, folding each of the four vertices so that each corner is placed on the point would create an new polygon with either 4, 5 or 6 sides. Through geometric modelling the shape of the polygon can be derived, whatever the position of the point, (x,y) in the square with a scale, v, and a center, (0,0).
The limit of this representation would be not accounting for the transformations caused by folding. Thus the edges do not represent the optimal result for the number of sides for the polynomial created.
By Group 2B, Students at the University of Exeter; 14th November 2012.