A hyperbolic helicoid with torsion τ. The colormap is simply the parameter v.

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The surface is defined by the parametric equations

\begin{align} x &= \frac{ \sinh v \cos \tau u }{ 1 + \cosh u \cosh v } \\ y &= \frac{ \sinh v \sin \tau u }{ 1 + \cosh u \cosh v }\\ z &= \frac{ \cosh v \sinh u }{ 1 + \cosh u \cosh v } \end{align}

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