dimensionality of fractals

The dimensionality of fractals refers to the measure of space occupied by a fractal pattern, which may possess a fractional or non-integer dimension. Unlike traditional geometrical shapes with whole-number dimensions (e.g., a line in 1D, a plane in 2D, or a solid in 3D), fractals are often characterized by a self-similar and infinitely detailed structure, leading to a fractional or fractal dimension that quantifies their intricate complexity.

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