DPK

PSL 020

Mandelbrot

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

Mandelbrot
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

Video

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Track Information

#TitleOpISWCKeybpmMetLen
1Infinite Zooms274T9148729231Am1404/405:53
2Fractal Landscape275T9148729811D#m1344/405:15
3The Mandelbrot Set278T9148729822Dm1324/405:21
4The Julia Set279T9148729855Am?1354/403:51
5Successive Iteration280T9148730294Cm1304/404:07
6Maximum Dwell281T9148730307Em1354/405:57
7Convergence282T9148730318Em1404/405:49
8Color Space283T9148730681Gm1334/407:07
9Bounded284T9148730692Bm1324/406:20
10Self Similarity285T9148730705Em1324/405:50
11Hyperbolic Components286T9148730921Cm1454/404:38
12Complex Dynamics287T9148730932Fm1294/406:45
13Seahorse Body307T9148730943G#m1404.407:00
  • ISWC: the International Standard Musical Work Code, is a unique, permanent and internationally recognized reference number for the identification of musical works.
  • Opus: I assign each song I write a unique identification number; this is its opus number.


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

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