Henry Segerman is a postdoctoral mathematician. His mathematical research is in 3 dimensional geometry and topology, and concepts from those areas often appear in his work. Other artistic interests involve procedural generation, self reference, ambigrams and puzzles.
The surface of this self-referential sphere is tessellated with 20
copies of the word "SPHERE". The design was sketched on paper (at
Bridges 2009), then a single copy of the word recreated in
Illustrator and imported into Rhinoceros 3D. The flat design was then projected onto a sphere, modified to account for the curvature of the sphere, then copied to form the tessellation. Finally, pipes were constructed around the curves, converted to a mesh and then the mesh sent to Shapeways.com for 3D printing.
The surface of this self-referential torus is tessellated with 16 copies of the word "TORUS". The design was originally intended for display on a torus with a flat Euclidean metric. However, that design, made from curves in Adobe Illustrator and imported into Rhinoceros 3D, was projected onto the usual embedding of a torus in 3 dimensional space, using Rhinoceros 3D's "Sporph" command. Finally, pipes were constructed around the curves, converted to a mesh and then the mesh sent to Shapeways.com for 3D printing.