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, (c) 1987-2017.     Mu-ency index


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