Aperiodic tilings are geometric subdivisions of a surface with no large scale repetition. The most famous example is the Penrose tiling, but many more exist through substitution rules and cut-and-project methods. Aperiodic tilings have been observed in the quasicrystalline atomic lattice of certain materials.
These tilings are based in part on the substitution rules found in the Tilings Encyclopedia. In some cases, surfaces are perturbed by blending the colors of shared vertices, creating a bas-relief foundation for refraction. In others, overlapping tubular geometry from increasing substitution iterations illustrate the parameterization and affine transformations of the prototiles while highlighting self-similarity.
2017 The MOXI Museum. Santa Barbara, CA
2017 Rehabituation. Santa Barbara, CA
2016 Computation and Expression. Santa Barbara, CA
2016 Experience Workshop. Finland and Hungary
2016 Bridges Mathematical Art Conference. Jyvӓskylӓ, Finland
2016 White Noise. Santa Barbara, CA