Mandelbrot Pictures

The list links to JPEG images of different zoom's of the Mandelbrot Set. I als have some more backgrounds on how I became interested in fractals and the generation of them. GIF Pictures were calculated using FractInt, and converted to JPEG using Graphic Workshop (originally) or Image Magick (currently). Resolution is 1024x768 (50-220kB each) and for several of the most interesting, also big 2048x2048 versions are available (0.3-1Mb each). A total of 6.4MB pictures is available. (P.S. The background you see is a thumbnail of the Full Mandelbrot set.)

Up to now, there has been some interest in my Mandelbrot Art. Some of the images have appeared in print (or used otherwise) in:

Eureka, the journal of The Archimedeans, the Cambridge University Mathematical Society, in an October 2011 article on complexity in financial markets.
A poster for the `Lavender Railroad' plays at the Evolution Theatre, Ottawa.
A poster of the WCONLINE: University of Alberta Centre for Writers.
"Computer Graphics using OpenGL" by Francis Hill and Stephen Kelley (Prentice Hall).
an end-of-year (2005) talk, as an example of "structured chaos", by Kym Morris of the Information Technology Directorate, University of Western Sydney.
"Invariant Magazine" (front page, Issue 16, 2005) of the Student Mathematical Society "invariants" of the University of Oxford, and has a comprehensive article on "Drawing the Mandelbrot Set" (by Martin Churchill, on page 27; info at invar@herald.ox.ac.uk).
'Pixels and Paint' (front-cover and interior article), an educational book(let) for 6-12 year old children, published in 2001 by Shortland Publications (now with McGraw-Hill).
University Newspaper (25 march 1999) of the University of Groningen on a centerfold special on "Art in Science" by René Fransen.

This list is also available with thumbnails included (High-Graphics).

Full Mandelbrot set (47kB), Big (2048x2048, 272kB)
Large Cleft between major bulb and first minor (89kB)
Different Zooms at the left side of the cleft (the 'Dragon' area):

Starry-pointed Bud with Dragon Tails (124kB)
Small Mandelbrot Figure with Dragon Tails (176kB)
Narrowing part of the cleft (127kB), Big (2048x2048, 804kB)
Many-pointed many-budded Buds (218kB)
Very small Mandelbrot Figure and Large Spiral (207kB)
Few Buds in Small Cleft, Nice fire-like colouring (188kB)
Very small Mandelbrot Figure and Large Spiral (again, but now with different colours) (170kB)

Progressive Zooms at the right side of the cleft (the 'Seahorse Valley'):

Seahorse Bud (As published in Scientific American) (126kB), Big (2048x2048, 711kB)
Main Spiral (123kB), Big (2048x2048, 649kB)
Spiral arm (169kB), Big (2048x2048, 1MB)
Miniature Mandelbrot Figure from Spiral arm (This is the largest magnification I have made up to date, I had already calculated it on my Philips MSXII (Z80 3.6 MHz 8 bits processor) machine, which took me over two weeks). (175kB)

Antenna at the left side of the full Mandelbrot Set (85kB)
Stary Antennae at the top of the Mandelbrot Set

Main Starry-antenna Bud (87kB), Big (2048x2048, 519kB)
Miniature Mandelbrot Figure in one of the antennae (75kB)
Spiralling Starry Antenna of Miniature Mandelbrot Figure (107kB)

'Mandelbrot mountains' can be made by using iteration counts as elevation. All mountains here are made from the whole Mandelbrot set. In the second and third pictures (the gradient-shaded ones) a special feature of the Fractint program was used to create a smooth gradient inbetween iteration counts. This is called the 'continuous potential' function and interpolates iteration values based on the magnitude of the first complex number that escapes to infinity. These values are stored in 16 bit accuracy (actually 8 bits integer with 8 bits 'interpolated accuracy') and used as elevation levels.

FractInt can also wrap a picture on a sphere, using colour data as a depth or highth from the surface of the sphere. Adding the right colour-scheme, this results in moon-like objects:

Moon "Seahorse" (78kB)
Moon "Small Mandelbrot" (57kB)

I am planning to add some more info to the pictures, like the area, zoom factor maybe a description of the colours-schemes I used and maybe point out some exceptionally interesting features in some pictures..

This page was created using Emacs
This page was optimized for ANY BROWSER

Last modified: Wed Sep 28 12:28:33 CEST 2011

Back to Anton Feenstra Homepage
feenstra@chem.vu.nl