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The term fractal describes a class of complex structures exhibitingself-similarity across different scales. Fractal patterns can be created byusing various techniques such as finite subdivision rules and iterated functionsystems. In this paper, we will present a method for the construction ofgeometric fractals that exploits Kronecker products and tensor decompositions,which can be regarded as a generalization of matrix factorizations. We willshow how to create several well-known examples for one-, two-, andthree-dimensional self-similar structures. Additionally, the proposed methodwill be extended to the construction of fractals in arbitrary dimensions.

Tensor-generated fractals: Using tensor decompositions for creating self-similar patterns