The Grid is also called The End.
The Grid has cells.
Each cells has zero or infinite elements.
That a cell has infinite elements if it has any, is the first part to show.
An element represents a product, c.
c is the difference of two squares.
ab = c = dd + e = (d+n)(d+n) - (x+n)(x+n)
An element that represents a product c, the difference of two squares has a column coordinate and row coordinate.
The column coordinate is e, the remainder of taking the largest square with sides d.
The row coordinate is n, the amount added to d to make the side of the larger square in the difference of two squares. n is also the amount added to d to make it the mid point of a and b.
Each cell has coordinates (e,n)
Each cell element has coordinates (e,n,t) where t is where the element comes in the cell if ordered by size of c.
Each element c in a cell has the properties (e,n,d,x,a,b)
e is the remainder and column
n is the amount added to d to make the large square
d is the square root of c
x is the difference of a and d
a if the smaller factor of c if not equal to b
b is the larger factor of c if not equal to a
