Walk 6

Homage to the self-avoiding walk on a 6x6 grid. In each of the 144 cells, the boundary between the white and non-white areas is the walk. Taken together, the walks form an early stage in the progression toward a space-filling curve. Six types of walks were used and carefully aligned according to the pattern of a seventh type. The background colors in each quadrant reveal this last walk and serve as a guide to help you follow the larger curve. Although it may appear so, nothing in this image was placed randomly.

 © 2002 Kerry Mitchell