The trisector curve is transcendental
arXiv:1301.7322
Abstract
We show that the distance trisector curve is not an algebraic curve, as was conjectured in the founding paper by T. Asano, J. Matousek and T. Tokoyama: "The distance trisector curve", Advances in Math., 212, 338-360 (2007).
14 pages, 12 figures