Dini's surface
![](http://upload.wikimedia.org/wikipedia/commons/thumb/3/30/Mathematica_dinis_surface.png/350px-Mathematica_dinis_surface.png)
![](http://upload.wikimedia.org/wikipedia/commons/thumb/6/66/Dini_Surface.png/350px-Dini_Surface.png)
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]
![](http://upload.wikimedia.org/wikipedia/commons/thumb/e/eb/Dini%27s_Surface.svg/350px-Dini%27s_Surface.svg.png)
Another description is a generalized helicoid constructed from the tractrix.[4]
See also
- Breather surface
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. Archived from the original on 2012-06-09. 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.