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What are
Fractals?
A geometric figure or
natural object that combines the following characteristics:
a) Its parts have the same form or structure as the
whole, except that they are at a different scale and
may be slightly deformed.
b) Its form is extremely irregular or fragmented,
and remains so, whatever the scale of examination.
c) it contains "distinct elements" whose
scales are very varied and cover a large range.
Any shape that has the unusual property that when
you measure its length, area, surface area or volume
in discrete finite units, the measured value increases
without finite limit as the size of the discrete unit
decreases to zero.
The oldest standard example is a coastline ("How
long is the coast of Britain?"), which when measured
one kilometer at a time might turn out to be 5000
kilometers long, but when measured just one meter
at a time comes out to be, say, 12000 kilometers.
Measured per centimeter, would further increase the
distance!
Generation of fractal images basically
employs the useage of mathematical expressions, these
often being trigonometrical in type, or polynomials
and quadratics - containing several adjustable variables.
There is then performed a sequence of iterations during
which the shapes are ''built'' and colors are introduced
by further math' filters.
The most useful feature is that zooming in to portions
of the original will yield repeated patterns at ever
increasing magnifications, during which ''discovery''
of particular image forms can be made.
(Please NOTE - some pages
have a "BACK" link - you may have to "allow"
this in your browser permissions, or just use standard
browser back button). Also note, the images are reduced
from large versions and so do suffer some loss of
quality.
A word on the image content.
Sometimes an opportunity presents, such that two or
even three ''versions'' can be made. Sometimes just
a color change alters the image meaning. Much is based
too on geometric symmetry - a common feature of fractals.
I offer this collection as simply an exploration,
voyage if you will - into the realms of fractal imaging.
If perchance any links between all the pages and images should prove faulty - it would be appreciated if you would let us know, quoting the browser URL that shows at the time. Thank you. Email - design @ acbsystems.com
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