The Art of Complex Flow Diagrams

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Anne Burns: The Art of Complex Flow Diagrams. In: Bridges 2011. Pages 51–58



Interpreting a continuous complex valued function as a vector field over its domain provides a wealth of opportunities for producing visually appealing images. Singularities and their multiplicities are easily discerned by plotting the vector field over a rectangular grid where colors are assigned as functions of length and/or direction, Some beautiful images can be produced by plotting the vector field of the function only along certain paths and inventing functions for assigning length and color to each vector produces.

Extended Abstract


Used References

[1] Tyre Newton and Thomas Lofaro, On Using Flows to Visualize Functions of a Complex Variable, Mathematics Magazine, Vol. 69, No. 1 February 1996

[2] Tristan Needham, Visual Complex Analysis, Oxford University Press Inc., New York, 1997, ISBN 019 853446


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