Isogonal Mapping

An isogonal mapping is a transformation  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  is a conformal mapping, then  is isogonal but not conformal. This is due to the fact that complex conjugation is not an analytic function.

REFERENCES:

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