Abstract
In this paper, we generalize Sierpinski carpet and Menger sponge in [Formula: see text]-dimensional space, by using the generations and characterizations of affinely-equivalent Sierpinski carpet and Menger sponge. Exactly, Menger sponge in [Formula: see text]-dimensional space could be drawn out clearly under an affine transformation. Furthermore, the method could be used to a much broader class in fractals.
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