AUTHORS: Zhiyong Zhu, Enmei Dong

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ABSTRACT: Study on properties of general Sierpinski fractals, including dimension, measure, Lipschitz equivalence, etc is very interesting. Like other fractals, general Sierpinski fractals are so complicated and irregular that it is hopeless to model them by simply using classical geometry objects. In [22], the authors the geometric modelling of a class of general Sierpinski fractals and their geometric constructions in Matlab base on iterative algorithm for the purpose of studying fractal theory. In this paper, we continue such investigation by adding certain rotation structure and obtain some results by extending our approaches to three dimensional space. Our results may be used for any graphical goal, not only for mathematical reasons.

KEYWORDS: general Sierpinski carpet, general Sierpinski gasket, general Sierpinski sponge, IFS, deterministic algorithm, random iterated algorithm, Matlab

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