USING THE INVERSION ALGORITHM TO GENERATE 2D AND 3D DIMENSIONAL FRACTALS
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Abstract
The concept of circular inversion is introduced into the set of star shapes, and the algorithm for generating a circular inversion fractal uses a generalized substitution for the circular transformation. As a result, a star-shaped inversion fractal is obtained. The presented examples show that it is possible to obtain a wide variety of fractal patterns using the proposed method, and these patterns differ from those obtained by the circular inversion method. In addition, since a circle is a set of star shapes, the proposed generalization allows for a very easy and intuitive transformation of the circular inversion fractal.
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References
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