Architecture Professor Robert Krawczyk has been selected for the upcoming juried exhibition: Mathematical Art Exhibition of JMM 2016, Joint Mathematics Meeting, the Mathematical Association of America (MAA) and the American Mathematical Society (AMS), from January 6-9, 2016 at the Seattle Convention Center. One of his two pieces selected, More Paths 06_0313_2, was also selected for the cover of the exhibition catalog.
These pieces were inspired by the wall drawings of Sol LeWitt and the findings of Father Sebastien Truchet (1657-1729). In 1704, Truchet considered all possible patterns formed by the tiling of right triangles oriented at the four corners of a square. Each tile was identical but could be placed, rotated, and tiled to form interesting random non-repeating patterns. Since every edge is connected to every other edge, paths are generated. LeWitt on his wall drawings used drawn arcs producing similar patterns. LeWitt instructed his crew to draw the arc in any orientation they wanted. The viewer then finds the paths. The ones included here randomly use two different tiles. Usually these patterns are rendered black and white, these are not.