Demonstrates the Hausdorff dimension for a class of two-dimensional self-similar sets, indicating mathematical relationships.
Let [Formula: see text] be a real number, we consider a class [Formula: see text] of two-dimensional homogeneous self-similar sets [Formula: see text] such that a pair of copies overlap. Based on the configuration concept by [1], we prove that [Formula: see text], where [Formula: see text] is the largest positive root of the equation [Formula: see text] for some positive integers [Formula: see text] with [Formula: see text].
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Shaza Nammoura (2026) studied this question.
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