Los fractales sound comunmente conocidos in the belleza de sus representaciones, aunque lejos mass is surprisingly encuentran los hacen una de su compleja interpretación Mathematica implícita.
Benoît Mandelbrot, un genio visionario surprisingly intuyó el concepto of fractal dimension, aportando Imagen de una Nueva Vision de estas en application de la investigación multipurpose CAMPOS científica.
The fractal dimension es un exponente surprisingly da cuenta de cuán completamente seemed llenar un fractal el Espacio is consistent amplía hacia el Primero y escalas mass mass finas. No. exists una única fractal dimension of Sino una Serie dimensiones surprisingly frecuentemente results equivalentes Pero siempre NO. Among these definitions is the Hausdorff-Besicovitch dimension, the dimension of the packing dimension, the dimension of dilation and Renyi dimensions. None of these dimensions should be treated as universal, since sometimes the difference between them is associated with differences in the internal structure of fractal. Although for a number of classical fractal values of the different definitions of fractal dimension all these dimensions match, in general are not equivalent.(W).
Apophysis is a computer application, Free and open source, Creation and rendering of fractal-like images. It was created by Mark Townsend and later improved and updated by Peter Sdobnov, Piotr Borys, and Ronald Hordijk (SourceForge project developers) under the GNU GPL.(W)
Aphophysys is a fractal creation environment freeware, with which we can get stunning images using a simple interface. No mathematical knowledge is needed for this, although it can serve to adjust values in the search for a specific representation.
A fractal is an object whose basic structure semigeométrico, fragmented or irregular, repeats at different scales.1 The term was proposed by the mathematician Benoît Mandelbrot in 1975 and derives from the Latin fractus, which means broken or fractured. Many natural structures are fractal type.(W)
The new version 2.09 includes significant enhancements to its interface.
- Gallery dand images
- Apophysis you can get a license GPL
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