Stuff

Contents

• The Unit cell.
• The Pattern.
• The Numbers.

The Unit Cell

The 6 x 6 pattern incorporates those from 2 x 2 and 3 x 3 as shown in the illustration.

N = 6	N = 2	N = 3

The Pattern

A number of unit cells are tiled to show the overall pattern.

The Numbers

The points are generated using an algorithm where the only input is the number of cells across the pattern. The resulting series for N=6 are shown below.

Seed	Sequence	No.
(0,0)	[0], [0], [0], [0], ...	1
(1,1)	[1, 1, 2, 3, 5, 2, 1, 3, 4, 1, 5, 0, 5, 5, 4, 3, 1, 4, 5, 3, 2, 5, 1, 0], [1, 1, 2, 3, ...	24
(2,2)	[2, 2, 4, 0, 4, 4, 2, 0], [2, 2, 4, 0, ... = 2 * [1, 1, 2, 0, 2, 2, 1, 0], ..., the corresponding series in the order 3 pattern.	8
(3,3)	[3, 3, 0], [3, 3, 0], [3, ... = 3 * [1, 1, 0], the corresponding series in the order 2 pattern.	3
Total		36