David Bachman, Robert Fathauer, and Henry Segerman
[DB] My design process starts with translating a physical form to a mathematical model, which can be endlessly modified. Truly new objects are then produced from these models by modern digital fabrication techniques.
[RF] I'm endlessly fascinated by certain aspects of our world, including symmetry, chaos, and infinity. Mathematics allows me to explore these topics in distinctive artworks that I feel are an intriguing blend of complexity and beauty.
[HS] My mathematical research is in 3-dimensional geometry and topology, and concepts from those areas often appear in my work. Other artistic interests involve procedural generation, self reference, ambigrams and puzzles.
The design was created using a combination of CAD software (Rhino, Grasshopper) and python code. To create the model, Hilbert curves were constructed on each face of a cube, and joined together. The resulting loops were then mapped onto spheres in such a way so as to keep curvatures as uniform as possible. Loops from successive generations of the construction were placed on spheres of larger radii, and a surface was created by interpolating between them. The inner structure of the spherical model is revealed in the smaller piece, which is exactly one-third of the spherical model.