the divisors of one number equals the other number,.g. Li,.; Perlman,.; Wang,.; Yang,.; Meneveau,.; Burns,.; Chen,.; Szalay,.; Eyink,. 3 :166; 18 4 12 This idea of being detailed relates to another feature that can be understood without mathematical background: Having a fractional or fractal dimension greater than its topological dimension, for instance, refers to how a fractal scales compared to how geometric shapes. Reiner, Richard; Waltereit, Patrick; Benkhelifa, Fouad; Müller, Stefan; Walcher, Herbert; Wagner, Sandrine; Quay, Rüdiger; Schlechtweg, Michael; Ambacher, Oliver; Ambacher,. Natural phenomena with fractal features edit Further information: Patterns in nature Approximate fractals found in nature display self-similarity over extended, but finite, scale ranges. Archived from the original on October 12, 2007. 2006 Ig Nobel Awards. "Physics and Fractal Structures" (in French). Paper 1725 Chen, Yanguang (2011). Measure, Topology, and Fractal Geometry. Sierpinski gasket but that the edited novel is "more like a lopsided Sierpinsky Gasket".
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The difference for fractals is that the pattern reproduced must be detailed. A b c d e f g h i j k l m n o Mandelbrot, Benot. Physics and fractal structures. "Multiscaling in Stochastic Fractals". About the Relationship Between Geometries and Technology and Its Impact on Narrative Spaces. Eratosthenes ( Greek Euclid ( Greek Eudoxus of Cnidus ( Greek Leonhard Euler ( Swiss Pierre de Fermat ( French Leonardo Fibonacci ( Italian Jean Baptiste Joseph Fourier ( French Galileo ( Italian Karl Friedrich Gauss ( German Josiah Willard Gibbs (.S. Kurt Gödel (.S. Atomic Energy, 74, 241243 (1993) Sreenivasan,.R.; Meneveau,. 81 It involves pressing paint between two surfaces and pulling them apart. Journal of Fluid Mechanics. Fractal Geometry: Mathematical Foundations and Applications. Progress in wavelet analysis and applications: proceedings of the International Conference "Wavelets and Applications Toulouse, France June 1992.