Bigger and Smaller II Limited Edition of 5

The title refers to Escher's 1956 engraving and woodcut, Smaller and Smaller. This tiling uses a 5-fold geometry, as is obvious from the pentagonal profile, and is based on the same kite-shaped tile as that used in the P2 Penrose tiling. The tiles emerge and disappear into numerous singularities.

This fractal is not shown at its limits, although in this arrangement, it will approach a decagonal limit, which has sides in the proportion of the Golden Ratio. However, in order to proceed to the limit, another tile is necessary to resolve an anomaly where the tiles do not tile the plane without gaps or overlaps.

The tiling uses a single tile, in normal and mirrored form. It only has a single edge profile, which due to the requirements of the arrangement, is symmetrical. The same profile is used in two different scales to match the sides of the kite, which are scaled by the Golden Ratio.

The mirroring is necessary in order to flip the tiling from enlargement to diminishment.

As in the Penrose tiling, the colouring with minimal number of colours does not relate to the geometry, instead it applies a kind of camouflage distribution, which to a large degree visually masks the rotational symmetry. This combination of symmetry and randomness is something I find very attractive.

Bigger and Smaller I is the paper version in blue and orange. This version is in yellows and browns, the "Lemon Tea" version.