Aperiodic Tiling

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.

 

Exhibitions

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

 

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Subspaces, The Wolf Museum of Exploration and Innovation (MOXI). Santa Barbara, CA. June 2017.

Subspaces, The Wolf Museum of Exploration and Innovation (MOXI). Santa Barbara, CA. June 2017.

Subspaces, Rehabituation: MAT End of Year Show. UC Santa Barbara. May 2017.

Subspaces, Rehabituation: MAT End of Year Show. UC Santa Barbara. May 2017.