Benjamin Trube

This piece uses flexible Truchet tiles first described by Bosch and Colley. I loosened their original constraints to allow the tile to flex to its extremes. The degree of flexing is determined using the Julia set described by Z_(n+1)=Z_n^2+c with c=0.32+0.043i. In the top-left and bottom-right quadrants, bound points are colored black, and the black area of the tile flexes based on how fast a point escapes the bound. The top-right and bottom-left quadrants invert the colors. Tile orientation is determined by applying a modulus of 4 to the iterations it took to escape the bound. This creates orbits around the outside of the set. My goal was to apply a color constraint and a simple tile yet still draw out key properties of the Julia set.

This piece uses flexible Truchet tiles first described by Bosch and Colley. I loosened their original constraints to allow the tile to flex to its extremes and chose to use only Truchet’s B and D tiles (randomly selected for each point). The degree of flexing is determined using the Julia set described by Z_(n+1)=Z_n^4+c with c=-0.794375+0.056875i. The black area of the tile flexes based on how fast a point escapes the bound, with bound points colored white for contrast. The random tiles form a pattern that looks to me like watercolor paper or a pencil etching. For this piece I wanted to create something where the beauty of the Julia set could be appreciated at distance, and the tile detailing could be enjoyed up close.