Isogonal Mapping


An isogonal mapping is a transformation w=f(z) that preserves the magnitudes of local angles, but not their orientation. A few examples are illustrated above.

A conformal mapping is an isogonal mapping that also preserves the orientations of local angles. If w=f(z) is a conformal mapping, then w=f(z^_) is isogonal but not conformal. This is due to the fact that complex conjugation is not an analytic function.

See also

Complex Conjugate, Conformal Mapping, Indirectly Conformal Mapping

This entry contributed by John Renze

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Churchill, R. V. and Brown, J. W. Complex Variables and Applications, 5th ed. New York: McGraw-Hill, 1990.

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Isogonal Mapping

Cite this as:

Renze, John. "Isogonal Mapping." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.

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