View allAll Photos Tagged fractals
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Source image fractal for Treat This 152 - Kreative People group:
www.flickr.com/groups/1752359@N21/discuss/72157671145759133/
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Created in Ultra Fractal.
These were all done with jWildfire using the same colors but selecting different mathematical equations.
Imagen doble espejo compuesta y fusionada con Microsoft Paint de Window, original en mis coreografías mexicanas./Image double mirror view composed and stitched with Microsoft Paint of Windows from my Mexican choreographies.
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Please NO adding Favourites without comments (code
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My Images Do Not Belong To The Public Domain - All images are copyright by silvano franzi ©all rights reserved©
Image double mirror view composed and stitched with Paint of Windows from an original of my amusement park drives at La Feria de Torreón.
Copyright
©All my photographic images are copyright. All rights are reserved. Do not use, copy or edit any of my photographs.
Five Fractal Explorer fractals and one jWildfire fractal layered together and edited in PaintShop Pro
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A fractal is generally "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. The term was coined by Benoît Mandelbrot in 1975 and was derived from the Latin fractus meaning "broken" or "fractured."
A fractal often has the following features:
- It has a fine structure at arbitrarily small scales.
- It is too irregular to be easily described in traditional Euclidean geometric language.
- It is self-similar (at least approximately or stochastically).
- It has a Hausdorff dimension which is greater than its topological dimension (although this requirement is not met by space-filling curves such as the Hilbert curve).
- It has a simple and recursive definition.
Because they appear similar at all levels of magnification, fractals are often considered to be infinitely complex (in informal terms). Natural objects that approximate fractals to a degree include clouds, mountain ranges, lightning bolts, coastlines, and snow flakes. 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.
Approximate fractals are easily found in nature. These objects display self-similar structure over an extended, but finite, scale range. Examples include clouds, snow flakes, crystals, mountain ranges, lightning, river networks, cauliflower or broccoli, and systems of blood vessels and pulmonary vessels. Coastlines may be loosely considered fractal in nature.
Trees and ferns are fractal in nature and can be modeled on a computer by using a recursive algorithm. This recursive nature is obvious in these examples — a branch from a tree or a frond from a fern is a miniature replica of the whole: not identical, but similar in nature.
(Taken from Wikipedia and with thanks to Licht~~~~ for the title and thought)
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