# Mapping a Square by Complex Functions

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Functions of the form , where and are complex numbers, are difficult to visualize; their domains and ranges generally have two real dimensions, so the graph of the function lives in four-dimensional Euclidean space. In this Demonstration you can see how a few simple such functions transform a square of the plane.

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Contributed by: Chris Boucher (March 2011)

Open content licensed under CC BY-NC-SA

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"Mapping a Square by Complex Functions"

http://demonstrations.wolfram.com/MappingASquareByComplexFunctions/

Wolfram Demonstrations Project

Published: March 7 2011