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Skew Quadrilateral

A four-sided Quadrilateral not contained in a plane. The problem of finding the minimum bounding surface of a skew quadrilateral was solved by Schwarz (1890) in terms of Abelian Integrals and has the shape of a Saddle. It is given by solving


See also Quadrilateral


Isenberg, C. The Science of Soap Films and Soap Bubbles. New York: Dover, p. 81, 1992.

Forsyth, A. R. Calculus of Variations. New York: Dover, p.  503, 1960.

Schwarz, H. A. Gesammelte Mathematische Abhandlungen, 2nd ed. New York: Chelsea.

© 1996-9 Eric W. Weisstein