تحميل Fractal 3D للكمبيوتر 6zdz

1. However, not all self-similar objects are fractals —for example, the real line (a straight Euclidean line) is formally self-similar but fails to have other fractal characteristics; for instance, it is regular enough to be described in Euclidean .

2. With double precision 64-bit mathematics, Fractal 3D is capable of resolving detailed images up to an incredible 1,000,000,000,000x magnification level! To give perspective, a single atom of carbon magnified one trillion times would be longer than two football fields.

3. The term fractal was coined by Benoît Mandelbrot in 1975 and was derived from the Latin frāctus meaning "broken" or "fractured." A mathematical fractal is based on an equation that undergoes iteration, a form of based on recursion.

4. Fractal information from Wikipedia - A fractal has been defined as "a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole," a property called self-similarity.

5. Fractal 3D is a powerful tool for generating and exploring fractals 0such as the Mandelbrot and Julia sets.

6. Natural objects that are approximated by fractals to a degree include clouds, mountain ranges, lightning bolts, coastlines, snow flakes, various vegetables (cauliflower and broccoli), and animal coloration patterns.

7. First adjust the fractal set type, equation power/ constants, iterations, resolution, color scheme, and smoothing options.

8. After a place of interest is found, customize the 3D view by rotating the fractal, moving the camera, and adjusting the lighting.

9. Use the rendered images for desktop wallpaper, printed artwork, or just enjoy the beauty of exploring one of a kind images created by pure mathematics.

10. Once the fractal is rendered it can be explored with intuitive panning and zooming controls.

11. A fractal often has the following features: It has a fine structure at arbitrarily small scales.