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Pseudocrosscap

Pseudocrosscap

A surface constructed by placing a family of figure-eight curves into R^3 such that the first and last curves reduce to points. The surface has parametric equations

x(u,v)=(1-u^2)sinv
(1)
y(u,v)=(1-u^2)sin(2v)
(2)
z(u,v)=u.
(3)

See also

Cross-Cap

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References

Gray, A. Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed. Boca Raton, FL: CRC Press, p. 337, 1997.

Referenced on Wolfram|Alpha

Pseudocrosscap

Cite this as:

Weisstein, Eric W. "Pseudocrosscap." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Pseudocrosscap.html

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