Susan Goldstine

The fabric of this skirt is printed with a tiling of the Poincaré disk model of the hyperbolic plane by 30º–45º–90º triangles. A vertex with 30º angles lies at the center of the disk, and the skirt is formed from eight of the twelve resulting sectors so that it is not as overflowing as a full circle skirt. The fill color of the triangles grows more and more purple as the triangles shrink in size, so that as the triangles become too small to render, they fade into the purple outlines. Fabric printed by Spoonflower.

The dual of the triangular tiling in the skirt is a tiling of the hyperbolic plane by regular quadrilaterals, octagons, and dodecagons. The coordinating top approximates this dual tiling by joining flat squares, octagons, and dodecagons. Just as the skirt trims one third of the disk to manage the bulk of the fabric, the neckline of the top replaces an octagon with a hexagonal opening, excising a quarter wedge of the tiling. Further surgery to the tiling adds the separations between the sleeves and the body, all while following the tiling rule that each vertex has one purple dodecagon, one teal octagon, and one blue square. White running-stitch embroidery with colored stars at the vertices reveals the dual tiling by triangles that approximate the triangles in the skirt without the distortion of the Poincaré disk metric.