Penrose tiling A Penrose tiling is an example of an aperiodic tiling . Here, a tiling is a covering of the plane by non-overlapping polygons or other shapes, and aperiodic means that shifting any tiling with these shapes by any finite distance, without rotation, cannot produce the same tiling. However, despite their lack of translational symmetry , Penrose tilings may have both reflection symmetry and fivefold rotational symmetry . Penrose tilings are named after mathematician and physicist Roger Penrose , who investigated them in the 1970s. Impossible Cookware and Other Triumphs of the Penrose Tile Infinite patterns that never repeat have moved from fantasy to reality. By Patchen Barss Collage by Francesco Izzo February 7, 2019 Theosophical Wizard of Oz by John Algeo - USA I am on a mission to cure Carole Zoom's muscular dystrophy. Consider: Organic