Clothoid helices obtained via the Lie-Darboux method
arXiv:2604.06577
Abstract
The clothoid helices that have both curvature and torsion directly proportional to the arclength are obtained via the Lie-Darboux method and analyzed in some detail. Shifted counterparts are also introduced and studied within the same framework.
8 pages, 6 figures, 12 references, misprints corrected and style improved