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Image: Rectangular domain to be mapped into helicoid
The region $\dlr$ described by $0 \le \spfv \le 1$ and $0 \le \spsv \le 2\pi$ is mapped by the function $\dlsp(\spfv,\spsv) = (\spfv\cos \spsv, \spfv\sin \spsv, \spsv)$ into a helicoid.