... trajectories, hydrodynamic lines of flux, waves,landscapes, mountains, islands and rivers, rocks, metals, and compositematerials, plants, polymers, and gels, etc. 1 We must, however, add here ... fractal structures rely both onthose concerning nondifferentiable functions (Cantor, Poincaré, and Julia) and on those relating to the measure (dimension) of a closed set (Bouligand,Hausdorff, and ... numerous: besides his articles, B. Mandelbrot has publishedgeneral books about his work (Mandelbrot, 1975, 1977, and 1982); the booksby Barnsley (1988) and Falconer (1990) both approach the...