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