User:AndrewDressel/Dini's surface

Dini's surface with 0 <= u <= 4pi and 0.01 <= v <= 1 and constants a = 1.0 and b = 0.2.

Dini's surface is a surface with constant negative curvature which can be created by twisting a pseudosphere. It is named after Ulisse Dini and described by the following parametric equations:

x = a cos(u) sin(v)

y = a sin(u) sin(v)

z = a (cos(v) + log(tan(v/2))) + b u

Reditions of Dini's surface have appeared on the covers of Western Kentucky University's Graduate Study in Mathematics, Gray's Modern Differential Geometry of Curves and Surfaces with Mathematica, Second Edition, and volume 2, number 3 of La Gaceta de la Real Sociedad Matemática Española.

See also

• Dini derivative
• Dini test
• Dini's theorem
• List of surfaces

References

Category:Surfaces