This relevant paper was just released: > Howard Resnikoff. "On Curves and Surfaces of Constant Width." Apr. 2015. ([arXiv abstract](http://arxiv.org/abs/1504.06733).) >"...we provide a Fourier series-based construction that produces arbitrarily many new surfaces of constant width." <hr /> ![ConstWidth][1] <hr /> [1]: https://i.sstatic.net/Az8Ef.png