Mandelbrot Pictures
The thumbnails in this list link 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 derived from the last zoom into the
'Dragon' area, but the real image
looks better.)
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 page is also available in a
Lo/No-graphics version. If some of the text on this page
is difficult to read, also look at the
Lo/No-graphics version.
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):
Progressive Zooms at the right side of the cleft (the
'Seahorse
Valley'):
(126kB)
Big (2048x2048, 711kB)
(123kB)
Big (2048x2048, 649kB)
(169kB)
Big (2048x2048, 1MB)
(175kB)
Antenna
at the left side of the full Mandelbrot Set (85kB)
Antennae at the top of the Mandelbrot Set
'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.
Mandelbrot Mountain-top with typical
Mandelbrot-colours (47kB)
Mandelbrot Mountain-top with gradient-shading
(low-cost ray-trace-like artificial light effect without
shadow-casting). (57kB)
The same, but with different zooming and viewpoint.
(65kB)
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:
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..
All local images on this page Copyright © Anton Feenstra
A poster for the `Lavender Railroad' plays at the
Evolution Theatre, Ottawa
