The Art of Complex Flow Diagrams

Anne Burns
Proceedings of Bridges 2011: Mathematics, Music, Art, Architecture, Culture (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.