Abstract
An irregular Sierpinski triangle is a non-empty compact set F satisfying [Formula: see text] where each Ti is a contracting affine transformation. The irregular Sierpinski triangle is not generated with similarity transformations. Therefore, the calculation of its fractal dimension is not straightforward. We associate with each irregular Sierpinski triangle a self-similar regularization. The dimension of the regularization dictates the shape of the irregular Sierpinski triangle. We also describe properties of the regularizations and show their relationship to the classic Sierpinski triangle.
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