Cellular Chess I

Cellular Chess I

Cellular Chess I, II and III

These 3 prints are based on 5, 7, 9-fold geometry, and use a similar tile design to create a pattern that makes a flowing checkerboard. Cellular Chess I is based on 7-fold geometry and uses 3 rhombi, Cellular Chess II is based on 9-fold geometry and has 4-rhombi, while Cellular Chess III uses the 5-fold geometry of the Penrose Tiles. It would be interesting to see what kind of chess game could be played on such a complex board. The gold version of the print has a circle of gold in each alternate cell.

In each case I used a substitution technique to generate the patch of tiles, then selected a portion of the tiling that has a regular outline, but is quite irregular on the inside, without rotational symmetry. For the set of prints, I looked for a shape that would give me cells of approximately the same size, and then find a regular shape of similar sizes for the overall design.

What is interesting, is that each tile-set has its own “gestalt” despite having the same basic pattern. The 5-fold is quite axial and feel stiffer, while the 9-fold is much more flowing.

On a recent trip to the deep south of Western Australia, I came across the most beautiful ripples in the soft powdery sand, and they struck me with their similarity to these patterns.

Ripple photo for web

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Cellular Chess III based on five-fold geometry

\MacHomeDesktopgeometry work on travelnonagons for cellular

Cellular Chess II based on nine-fold geometry