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The surfaces in this family, which is named after Ulisse Dini, have a constant negative curvature and can be created by twisting a pseudosphere. They are parametrized by the equations

, where

and

. You can view different members of this family by adjusting the values of

, and

Contributed by: Lorena Cruz Pino

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Dini's Surface (Wolfram MathWorld)

Lorena Cruz Pino

"Dini's Surface"
http://demonstrations.wolfram.com/DinisSurface/
Wolfram Demonstrations Project
Published: August 31, 2012

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Dini's Surface

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