# FRACTALS

(

with a short introduction)

*Click on a thumbnail to see an Image or an Animation !*

The logistic equation - a simple example for population dynamics

(the source files loggl.cpp,
ltdiagrm.cpp and
ltdiagrm.h in MS Visual C++)

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The Menger's sponge (4 colors used) - the fractal dimension is 2.73

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The number of colors will be reduced from 4 to 2 - the algorithm uses a fractal path

(the fractal dimension of the curve is 2.00)

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The result - 2 colors are used to represent 4 colors

(the entire source code fbv_demo.pas in Turbo Pascal for the serious student)

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This is how I made the background of this page:

fractals created in an abstract way - by recursive coordinate transformations

(see the source file (a bit difficult, but abstract!) fract.cpp in MS Visual C++)

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The Sierpinski's triangle - the fractal dimension is 1.58

(created by a chaotical process using random numbers)

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The animation (75 KB) - to show the self-similarity

(the source file dreieck.pas in Turbo Pascal)

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