Brooks-Matelski Set

2010 Jan 29.

The interior of the Mandelbrot Set was imaged by Brooks and Matelski a year or two before Mandelbrot himself saw it, and so it is sometimes referred to as the "Brooks-Matelski Set".


* **** ****** ***** * ********* *** **************** ******************** ** ************************* **************************** ******************************* ****************************** * ***** ******************************** ********** ******************************** ************ ******************************* ** ************* ****************************** *************************************************************** ** ************* ****************************** ************ ******************************* ********** ******************************** * ***** ******************************** ****************************** ******************************* **************************** ************************* ******************** ** *** **************** * ********* ***** ****** **** * The Mandelbrot set, as imaged by Brooks and Matelski


(0,1.2) * *** **** * **** * ******** **** * *** ******* *********** **** ********** ************* * ****** ****** * * ** * ************ **** *************** ******************** ********************* ******************************************** ******** ************************************ *** * * *********************************** * ***** ***************************** *** ** ** **** **** ********************************* ** *********************************** ******************************** *************************** * ** ******************************* **************************** ********** *************** **** * ************************ ** * *********************** ************************* *********************** * ** ************************ * **** *************** ********** **************************** ******************************* **** *************************** ******************************** ********************************** ** ******************************** **** **** ** ** *** ***************************** ***** * *********************************** * * *** ************************************ ******** ******************************************** ********************* ******************** *************** **** ************ * ** * * ****** ****** * ************* ********** **** *********** ******** *** * **** ********* * **** * **** *** * (0,-1.2) A Julia set as imaged by Brooks and Matelski

This Julia set image is from their 1978 paper (see reference below).

See History.


Robert Brooks and J. Peter Matelski, The dynamics of 2-generator subgroups of PSL(2,C), Riemann Surfaces and Related Topics: Proceedings of the 1978 Stony Brook Conference, Princeton University Press, 1980. (0-691-08264-2/80/000065-07).


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