Modulo 7 Fibonacci Pattern

Contents

The Unit Cell

The Pattern

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

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=7 are shown below.

Seed Sequence No.
(0,0) [0], [0], [0], [0], ... 1
(1,1) [1, 1, 2, 3, 5, 1, 6, 0, 6, 6, 5, 4, 2, 6, 1, 0], [1, 1, 2, 3, ... 16
(2,2) [2, 2, 4, 6, 3, 2, 5, 0, 5, 5, 3, 1, 4, 5, 2, 0], [2, 2, 4, 6, ... 16
(3,3) [3, 3, 6, 2, 1, 3, 4, 0, 4, 4, 1, 5, 6, 4, 3, 0], [3, 3, 6, 2, ... 16
Total 49