Fractal Geometry : Examples of artificial fractal objects

Examples of artificial fractal objects
Fractal Geometry

Author : Jean-Charles PINOLI

Publication date: October 10, 2017 | Lire en français

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14. Examples of artificial fractal objects

The simplest fractals are self-similar.

Definition (Cantor sets): Cantor's set $X_{C_{(α)}}$ in $ℝ^{1}$ is obtained as the limit set...

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Examples of artificial fractal objects

(1) - AARTS (J.M.), NISHIURA (T.) - Dimension and extensions, - North-Holland, 331 pages (1993).
(2) - ALBEVERIO (S.), PRATSIOVYTYL (M.), TORBIN (G.) - Transformations preserving the Hausdorff-Besicovitch dimension, - Central European Journal of Mathematics, Vol. 6,...

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