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FRACTALS.TXT
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1989-02-10
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|A╔═══════════╗══════════════════════════════════════════════════════╔═══════════╗
|A║ |6Brainware |A║══════════════════════ ^1Fractals|A ══════════════════════║ |6Brainware |A║
|A╚═══════════╝══════════════════════════════════════════════════════╚═══════════╝
^CSamples of Recursive Curves
^Cby
^CRastislav Telgarsky
The term FRACTAL was coined by Benoit Mandelbrot to give a descriptive name
to complex geometric objects arising in mathematics and natural science. From a
programming point of view, the generation of fractal images can be divided into
iterative and recursive processes. This collection contains over 100 samples of
fractal images produced by recursive techniques. The program does not store the
image, but creates each based on certain mathematical schemes. Although the
most famous fractal, The Mandelbrot Set, can be created by a recursive
procedure, it is too computationally intensive to include it in this collection.
One characteristic feature of a fractal object is its self-similarity, that
is, the similarity between the whole object and its details. It should be
noted, however, that we shall never see the total fractal object; we can draw
its approximations only, going into finer details when we increase the computing
speed and time for the computation. Nevertheless, a standard IBM PC allows us
to study the principles, while the speed-hungry programs can be transfered to
more powerful computers.
The fractal images contained in this program are organized into two menus,
with some menu choices drawing several levels of a selected curve. Use the UP,
DOWN, LEFT, and RIGHT arrow keys to move the highlighted cursor to the image you
wish to display. Press the ENTER key to draw the image. Once the image is
drawn, press any key to return to the menu. From the menu you can exit the
program by pressing the ESC key.
The primary reference for this work is the book, The Fractal Geometry of
Nature by Benoit Mandelbrot, W. H. Freeman and Company, 1982.
The file needed to produce this collection of fractal images is FRACTALS.EXE.
All graphics screens are in medium resolution (320x200) color mode, so that CGA,
EGA and VGA provide the same color pattern on the corresponding color monitor.
To run this program outside Big Blue Disk, type ^1Fractals^0.
DISK FILES THIS PROGRAM USES:
^FFRACTALS.EXE