A pseudocrosscap is a surface constructed by placing a family of figure-eight curves into 
such that the first and last curves reduce to points. The surface has parametric
equations
 |  |  |
(1)
|
 |  |  |
(2)
|
 |  |  |
(3)
|
Pseudocrosscap
See also
Cross-CapExplore with Wolfram|Alpha
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
PseudocrosscapCite this as:
Weisstein, Eric W. "Pseudocrosscap." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Pseudocrosscap.html