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


Creative Commons License This work is licensed under a Creative Commons Attribution 2.5 License .
WWW: http://www.mrob.com/
EMail: mrob at mrob com (If you aren't a spambot you can rewrite this yourself)
© 1996-2008 Robert P. Munafo.s.13