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Function trap method for generating biomorphs
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DOI：10.1080/17513472.2025.2576834.png)
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Abstract
En 中文
We have discovered a fractal generation algorithm that extends Carlson's orbit trap method by introducing specific function traps to achieve a more diverse fractal generation pattern, producing fractals similar to those generated by the Pickover biomorphs method. Furthermore, by employing the $ {L<^>p} $ Lp-norm framework, we establish that the classical escape time algorithm is a special case of our function trap method, thereby unifying diverse fractal generation techniques under a single theoretical umbrella. Additionally, our extension of the Pickover Stalk method demonstrates that the Pickover Stalk method is also a special case of our algorithm, highlighting its generality and flexibility in generating biomorphic and geometric fractal structures.
Keywords:
Fractals
orbit trap
pickover stalks
Mandelbrot sets
biomorphs
Journal
J
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0.2
Papers:
11
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