I have been fascinated with geometric tessellations and tilings as long as I can remember. Since 2014, I have been posting interactive computer graphics on shadertoy.com, and since 2021, I have focused on producing tangible mathematical artworks that combine traditional and digital fabrication techniques.
I aim to create works which appeal to viewers on multiple levels beyond the aesthetic. I hope that people who spend time with my work are sparked with curiosity, or are rewarded by thinking in new ways about symmetry and patterns. A recurring theme in my work is the tension between geometric structure and organic variation. Although the forms may be generated by code, the finished artwork should nonetheless reflect human creativity.
Artworks
Spherical Truchet Tilings with Icosahedral Symmetry
10.0 x 10.0 x 10.0 cm
Two spheres of 3D printed stainless steel and nylon, neodymium disc magnets
This work is based on a collection of spherical Truchet tilings that I posted to shadertoy in late 2020. A Truchet tiling is a fixed set of tiles that cover a lattice while affording variation within a visual theme. In my computer graphics pratice, I have enjoyed the geometric and mathematical challenge of creating Truchet tilings of non-Euclidean and space-filling lattices. In producing this work, I enjoyed the additional challenges of designing objects that are manufacturable in practice, reconfigurable, and recognizably similar to the source material.
These tilings are both uniform spherical polyhedra, specifically the truncated icosahedron and the dodecahedron. The tiles attach to two identical underlying lattices via magnets.
Spherical Truchet Tilings with Octahedral Symmetry
10.0 x 10.0 x 10.0 cm
Two spheres of 3D printed nylon, neodymium disc magnets
2025
These are Truchet tilings of the cube and the truncated octahedron, both sharing the same underlying 3D printed lattice.
Each tile is decorated with segments of tori that intersect the edges of tiles at right angles and at specific positions. As a result, any tile can be rotated in-place or swapped with another one of the same shape without "breaking the pattern".
Reconfiguring the tiles to minimize or maximize the number of disjoint paths along the sphere can create different aesthetic effects. The tilings generate interesting mathematical puzzles. For a given set of tiles, is it always possible to cover the sphere with a single unbroken path? How many distinct patterns can be generated by a tileset, up to symmetries?
