论文信息 - A Fractal’s Lacunarity, and how it can be Tuned and Measured

A Fractal’s Lacunarity, and how it can be Tuned and Measured

The main exhibit in this paper is a stack of Cantor dusts that have identical fractal dimensions but differ violently from each other. Some look clearly fractal, while others look to the unassisted eye as filled intervals (they are said to be of low lacunarity), and others seem to reduce to the end points of a hollowed interval (they are said to be of high lacunarity). One of several quantitative measures of lacunarity is put forward, and the impact of low lacunarity fractals on modeling of nature is discussed.

Benoit B. Mandelbrot | B. Mandelbrot

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