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PSL 020


If you purchased a digital copy of this album you can now download the digital booklet containing the liner notes.

Mandelbrot Eq.

Benoit B. Mandelbrot (20 November 1924 – 14 October 2010) was a Polish-born, French and American mathematician, noted for developing a "theory of roughness" in nature and the field of fractal geometry to help prove it, which included coining the word "fractal". He later discovered the Mandelbrot set of intricate, never-ending fractal shapes, named in his honor.

Cover art by Paul Rolan Perkes

I have always loved and been fascinated with fractal images for their infinite variation and beauty. I once worked on a project in my former existence where I wrote software to calculate the fractal dimension of images of carbonaceous aerosol particles taken with an electron microscope. The fractal dimension was used to identify what combustion source of produced these particles. A reference to the paper we wrote appears below.

This album is dedicated to Benoit Mandelbrot and celebrates the beauty of all things fractal. I created the cover of this album myself using the most excellent free software package, Mandelbrot Explorer. I spent quite a lot of time searching and zooming through Mandelbrot space; and then adjusting the color scheme to get just the right image for this album cover.

Katrinak, K.A., Rez, P., Perkes, P.R., Buseck, P.R. (1992). Fractal Geometry of Carbonaceous Aggregates from an Urban Aerosol. Environ. Sci. Technol. 1993 26 (3), pp 539-547

Free Music

You can download the track Successive Iteration from Mandelbrot for free.


You can listen to tracks from Mandelbrot in various stages of production on SoundCloud (below).

If you don't see the player above, you can listen directly on SoundCloud.


This album was released on September 20th, 2013, and is available for purchase and immediate download from the following outlets:

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All music composed, performed and produced by Paul Rolan Perkes
© 2013 ASCAP Paul Rolan Perkes

WARNING: all rights reserved. Unauthorized copying, reproduction, hiring,
lending, public performance and broadcasting prohibited

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Infinite Zooms, Fractal Landscape, The Mandelbrot Set, The Julia Set, Successive Iteration, Maximum Dwell, Convergence, Color Space, Bounded, Self Similarity, Hyperbolic Components, Complex Dynamics, Seahorse Body

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