S. Louise Gould

With a nod to MC Escher this miniature quilt displays a portion of a quasi periodic tiling of the plane by two similar kite-shaped tiles with a scaling ratio of √(3). The irregularities in the tiling pattern appear random but the quilt reveals a transformation of the plane that maps every shape to a similar one with three times the area. The mapping rotates 150 degrees about a point inside the singled-out white tile while mapping each primitive small tile to a larger one, and each primitive large tile to a similar kite tiled with 2 large and 3 small primitive tiles. This 5-tile kite is called an "irreptile" (to distinguish it from a "reptile", which is tiled with smaller similar tiles all congruent to each other).