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Function trap method for generating biomorphs

delete2025-10-01
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PRE
AI
H
Hu, Zhixiong *
DOI:10.1080/17513472.2025.2576834delete
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摘要

摘要

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.
Keyword:
Fractals
orbit trap
pickover stalks
Mandelbrot sets
biomorphs

期刊

J
Journal of Mathematics and the Arts
IF:
0.2
论文数:
11
被引数:
0

机构

S
southwest university of science & technology - china
学者数:
8.5K
论文数: 6.3K
被引数: 6
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引用论文

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errMieczyslaw Szyszkowicz
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