This PREP workshop was made possible by the NSF grant DUE: 0341481

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Generalized helicoid of constant positive curvature. A helicoid is generated by taking a line and rotating it about the z-axis, moving it up along the z-axis as it rotates. We can create an \emph{generalized helicoid} by taking any plane curve in the xy-plane rotating it about the z-axis while simultaneously moving it up the z-axis. In this way we create a surface that can slide over itself when subjected to a screw-like motion. Originally, this model was sold with a metal slider to demonstrate this fact.

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current13:11, 27 June 2008Thumbnail for version as of 13:11, 27 June 20081,536×2,048 (262 KB)Angela (Talk | contribs) (Generalized helicoid of constant positive curvature. A helicoid is generated by taking a line and rotating it about the z-axis, moving it up along the z-axis as it rotates. We can create an \emph{generalized helicoid} by taking any plane curve in the xy-p)

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