Dini's surface
In geometry, Dini's surface is a surface with constant negative curvature that can be created by twisting a pseudosphere.^{[1]} It is named after Ulisse Dini^{[2]} and described by the following parametric equations:^{[3]}
Another description is a helicoid constructed from the tractrix.^{[4]}
See also
References
- ^ "Wolfram Mathworld: Dini's Surface". Retrieved 2009-11-12.
- ^ J J O'Connor and E F Robertson (2000). "Ulisse Dini Biography". School of Mathematics and Statistics, University of St Andrews, Scotland. Retrieved 2016-04-12.
- ^ "Knol: Dini's Surface (geometry)". Archived from the original on 2011-07-23. Retrieved 2009-11-12.
- ^ Rogers and Schief (2002). Bäcklund and Darboux transformations: geometry and modern applications in Soliton Theory. Cambridge University Press. pp. 35–36.
This page is based on the copyrighted Wikipedia article "Dini's surface"; it is used under the Creative Commons
Attribution-ShareAlike 3.0 Unported License (CC-BY-SA). You may
redistribute it, verbatim or modified, providing that you comply with
the terms of the CC-BY-SA