Mapping a Square by Complex Functions

Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
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.
Contributed by: Chris Boucher (March 2011)
Open content licensed under CC BY-NC-SA
Snapshots
Details
detailSectionParagraphPermanent Citation
"Mapping a Square by Complex Functions"
http://demonstrations.wolfram.com/MappingASquareByComplexFunctions/
Wolfram Demonstrations Project
Published: March 7 2011