When I first saw this shape, on a friend's computer, I got the sense
that the progression of forms, around the edges of the set, follows
a pattern
similar to the unfolding of the universe as it is depicted by modern
Cosmology.
In November of 1987, I shared my preliminary findings with readers of
Amygdala, a journal devoted to Fractal Mathematics and the Mandelbrot
Set.
Ten years later, I decided I wanted to elaborate upon my ideas, and
share them with others
by posting these pages on the Internet. Now, almost nine more
years have gone by, and
I'm in the process of
making nine years worth of edits. There are
some much-needed
corrections, some elaborations and/or clarifications,
plus there are some new findings
and
other additional content
that has been compiled during that time. That portion of the
process
is more than two thirds complete! There are also links and
references that will be added
or updated. Other changes will either correct typographical
errors, or modernize
the code. Please forgive any glitches, as I am updating these
pages,
while I continue sharing my findings and observations
with the rest of the world, on the web.
The First Five Chapters of
The Mandelbrot Set and Cosmology
are currently being edited, and the long-awaited
sixth chapter is in the wings.
Introduction -
an Overview
last updated
August 1, 2006
Early Forces -
Cosmological Isomorphism
in the Beginning
revised
and updated
August 4, 2006
Approaching Decoupling -
the Matter/Energy Cloud Expands
revised
and updated
August 7, 2006
The Electromagnetic Force -
the Age of Atoms and Molecules
revised and updated
August 2, 2006
Gravitational Effects -
Neutron Stars and Black Holes
partially updated
August 4, 2006
And an introduction
to the sixth chapter
Unifying Form and Forces -
a Holographic Chain of
Fractal Universes
And, of
course, Jon's
Fractal Images
Gallery
awaits your visit.
I wish to thank Mark Little and Glenn Knickerbocker,
who were there with me in 1985 through '87,
when I first began to explore the
Mandelbrot Set and all of the delightful things one can do with it.
They helped make sure that I had the tools to do further exploring, and
they
assisted me in acquiring the know-how to use those tools wisely.
I also wish to thank Rollo Silver, who published a
short article
about this theory in his publication Amygdala
(issue #7), in November of 1987.
In addition, I wish to thank Benoit Mandelbrot, who
became excited
about the implications of my theory, when he first learned of it.
Of course, I should give some credit to the
publishers
of Scientific American,
and to A.K. Dewdney, whose article about the Mandelbrot Set (in August
of '85)
positively blew my mind, and got me 'hooked on fractals.'
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August 20, 2006
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