Tubing Sculpture

For a few years, I’ve been playing with tubing sculptures, like these, with the aim of illustrating symmetries of the hypersphere, described in the final chapter of The Symmetries of Things. Here are some in

A Woven Klein Quartic

Curvature is determined by local geometry, and this can be controlled. A pattern with a particular symmetry is often in an infinite family of patterns, all with the same underlying motif, but of varied curvature