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Fractal-generating software was rewritten to make use of multi-threaded processing. Subsequently, the adoption of graphics processing units in computers has greatly increased the speed of rendering and allowed for real-time changes to parameters that were previously impossible due to render delay.
Chaotica is a commercial fractal art editor and renderer extending flam3 and Apophysis's functionality. There is also a free version with limited render resolution and animation length. There is also a free version with limited render resolution and animation length.
Apophysis is an open source fractal flame editor and renderer for Microsoft Windows and Macintosh. [1]Apophysis has many features for creating and editing fractal flames, including an editor that allows one to directly edit the transforms by manipulating triangles, a mutations window, which applies random edits to the triangles, an adjust window, which allows the adjustment of coloring and ...
He also suggests that the brain is a "recursive probabilistic fractal" whose line of code is represented within the 30-100 million bytes of compressed code in the genome. Kurzweil then explains that a computer version of this design could be used to create an artificial intelligence more capable than the human brain.
While an optimally packed fractal appears only for a defined value of r, i.e., r opt, it is possible to play the chaos game using other values as well.If r>1 (the point x k+1 jumps at a greater distance than the distance between the point x k and the vertex v), the generated figure extends outside the initial polygon. [5]
In this approach, pixels that are sufficiently close to M are drawn using a different color. This creates drawings where the thin "filaments" of the Mandelbrot set can be easily seen. This technique is used to good effect in the B&W images of Mandelbrot sets in the books "The Beauty of Fractals [9]" and "The Science of Fractal Images". [10]
Two photographs of a single hologram taken from different viewpoints. Holography is a technique that enables a wavefront to be recorded and later reconstructed. It is best known as a method of generating three-dimensional images, and has a wide range of other uses, including data storage, microscopy, and interferometry.
The sheep motif is carried over into other aspects of the project: the 100 or so sheep stored on the server at any time is referred to as 'the flock'; creating a new fractal by interpolating or combining the sheep's fractal code with that of another sheep is called mating/breeding; changes to the code are called mutations, etc.