Brooks and Matelski

2008 Feb 20.

Robert Brooks and Peter Matelski are credited with being the first to publish an image of the Mandelbrot set. Their article concerns discreteness criteria for Kleinian groups. The illustration, which appears on the last page of their article, looks roughly like this:

(-.07,.96) * **** ****** ***** * ********* *** **************** ******************** ** ************************* **************************** ******************************* ****************************** * ***** ******************************** *********** ******************************** ************* ******************************* ** ************** ****************************** **************************************************************** (1/4,0) (-2,0) ** ************** ****************************** ************* ******************************* *********** ******************************** * ***** ******************************** ****************************** ******************************* **************************** ************************* ******************** ** *** **************** * ********* ***** ****** **** * Fig. 2. The set of C's such that f(z)=z^2+C has a stable periodic orbit.

author

Cited works include:

abbrev	citation	Google query	notes
Brooks1978	The dynamics of 2-generator subgroups of PSL(2,C), in "Riemann Surfaces and Related Topics", ed. Kra and Maskit, Ann. Math. Stud. 97, 65-71, ISBN 0-691-08264-2	not online	history

From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo. Mu-ency index

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