A surface generated by the parametric
equations
The above image uses
and
.
The coefficients of the first fundamental form
are
the coefficients of the second fundamental
form are
the area element is
 |
(10)
|
and the Gaussian and mean
curvatures are given by
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References
Naylor,
B. "Steinbach Screw 1." http://www.garlic.com/~bnaylor/raytrace/rtstein1.htmlPickover,
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/Referenced
on Wolfram|Alpha
Steinbach Screw
Cite this as:
Weisstein, Eric W. "Steinbach Screw."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SteinbachScrew.html
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