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

References

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.

• Chebyshev Inequality
• Chebyshev Integral
• Chebyshev Integral Inequality
• Chebyshev Phenomenon
• Chebyshev Polynomial of the First Kind
• Chebyshev Polynomial of the Second Kind
• Chebyshev Quadrature
• Chebyshev-Radau Quadrature
• Chebyshev's Theorem
• Chebyshev Sum Inequality
• Chebyshev-Sylvester Constant
• Checkerboard
• Checker-Jumping Problem
• Checkers
• Checksum
• Cheeger's Finiteness Theorem
• Chefalo Knot
• Chen's Theorem
• Chern Class
• Chern Number
• Chernoff Face
• Chess
• Chessboard
• Chevalley Groups
• Chevalley's Theorem