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Steinbach Screw

A Surface generated by the parametric equations

$\displaystyle x(u,v)$ $\textstyle =$ $\displaystyle u\cos v$  
$\displaystyle y(u,v)$ $\textstyle =$ $\displaystyle u\sin v$  
$\displaystyle z(u,v)$ $\textstyle =$ $\displaystyle v\cos u.$  

The above image uses $u\in[-4,4]$ and $v\in[0,6.25]$.


References

Naylor, B. ``Steinbach Screw 1.'' http://www.garlic.com/~bnaylor/raytrace/rtstein1.html.

Pickover, C. A. Mazes for the Mind: Computers and the Unexpected. New York: St. Martin's Press, 1992.

Wang, P. ``Renderings.'' http://www.ugcs.caltech.edu/~peterw/portfolio/renderings/.




© 1996-9 Eric W. Weisstein
1999-05-26