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Chaos and Fractals
Chaos deals with nonlinear dynamical systems. Learn about Chaos Theory or discuss topics such as lotenz systems, the butterfly effect, and modeling turbulent fluid systems such as the climate and weather. Fractals are used especially in... [more]
Chaos deals with nonlinear dynamical systems. Learn about Chaos Theory or discuss topics such as lotenz systems, the butterfly effect, and modeling turbulent fluid systems such as the climate and weather. Fractals are used especially in computer modeling of irregular patterns and structures in nature.
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"And are you not", said Fook leaning anxiously forward, "a greater analyst than the Googleplex Star Thinker in the Seventh Galaxy of Light and Ingenuity which can calculate the trajectory of every single dust particle throughout a five-week Dangrabad Beta sand blizzard?" "A five-week sand blizzard?" said Deep Thought haughtily. "You ask this of me who have contemplated the very vectors of the atoms in the Big Bang itself? Molest me not with...
- Digital Art and the Discovery of Fractals (rss.suite101.com)
© Pomegranate Software
Normally costing US$2.99, for the rest of 2009, Pomegranate Software is offering its Fractals app for free.
Fractals are graphic images based on mathematical equations, and are a lot of fun to explore. The Fractals app is a neat way to explore both Madelbrot and Julia fractals in your spare time, and you can save any of the fractals as images on your device.
Fractals 1.0 is the first fractal app for iPhone that...
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From z.about.com
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Fraqtive 0.4.5 (KDE Education)Fraqtive is an open source, multi-platform generator of the Mandelbrot family fractals. It uses very fast algorithms supporting SSE2 and multi-core processors. It generates high quality anti-aliased images and renders 3D scenes using OpenGL. It allows real-time navigation and dynamic generation of the Julia fractal preview.changelog:0.4.5 (2009-12-18)
This release adds the possibility to generate fractal images...
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From kde.org
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Originally created as far back as Painter version 4, the Growth effect is a fascinating effect that you will want to explore further. The Growth effect was discovered by exploring fractal algorithms, and is based on 2 dimensional fractals. The Growth effect can be found on all versions of Painter and is located in the Esoterica grouping of effects. Just in time for the holidays, let us explore this fascinating fractal!
• Corel Painter Growth...
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From z.about.com
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axis.mundi shares a 3D fractal video:
From the maker:
The wide variety of organic forms resulting from relatively simple configuration of iterative functions illustrates the concept that complex results can arise from simple conditions. It is my belief that nature expresses itself on every level through fractals, limits, feedback loops, and iterative functions.From www.phidelity.com. Posted by jamesk.
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From dosenation.com
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The Mandelbulb is an attempt to extrude the classic Mandelbrot Set fractal into three dimensions. I'm not enough of a mathematician to say whether it accomplishes this feat, but it is utterly arresting. Mandelbulb: The Unravelling of the Real 3D Mandelbrot Fractal: (via /.) Previously:Benoit Mandelbrot - Boing Boing Findings fractals in the stock market - Boing Boing Fractal weather - Boing Boing Fractal art contest winners - Boing Boing...
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From boingboing.net
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An object that displays approximately the same shape or properties regardless of viewing scale can be described as a fractal. The Mandelbrot Set is a series of complex numbers defined iteratively by a function and is known outside of mathematics circles for producing “pretty fractal pictures”. Visualizations of the Mandelbrot Set have to date been two dimensional and many mathematicians have sought a way to create three dimensional fractals...
From omninerd.com
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- 3D renderings of the Mandelbrot set (blog.makezine.com)
Years ago in college, generating fractals with fractint was a popular pastime among my group of friends. But it was mostly (if not entirely) two-dimentional fractals being generated. But this three-dimentional Mandelbrot set? Wow!
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From boston.conman.org
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IMDB info Language: English 00:54:24 | 1920×1080 | Frames (29.97fps) | X264 | AC3 – 384Kbps | 4.7 GB Genre: Documentary Fractal Basics They’re odd-looking shapes you may never have heard of, but they’re everywhere around you—the jagged repeating forms called fractals. If you know what to look for, y ...
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From icerocket.com
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(TrendHunter.com) Psfk.com puts it best when they say that these real 3D fractals are, “visual inspirations.” Absolutely breathtaking, if you take the time to read the complex process of achieving these images, you’ll also…
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From trendhunter.com
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Fractal flames are a member of the iterated function system class[1] of fractals created by Scott Draves in 1992. Draves' open-source code was later ported into Adobe After Effects graphics software and translated into the Apophysis fractal flame editor.
Fractal flames differ from ordinary iterated function systems in three ways:
* Nonlinear functions are iterated instead of affine transforms.
* Log-density display instead of linear...
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From del.icio.us
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Even now, the world's most powerful computers are pushed to their limits extracting predictions of future weather and climate from the equations he wrestled with using pencil and paper.
Yet Richardson suspected that behind the mathematical complexity of the atmosphere lay a far simpler reality - if only we looked at it the right way.
Now an international team of researchers analysing signals from satellites, aircraft and ground-based...
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From del.icio.us
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He is best known for his book Art Forms of Nature. "Originally published in sets of ten between 1899 and 1904 and as a complete volume in 1904, it consists of 100 prints of various organisms, many of which were first described by Haeckel himself. Over the course of his career, over 1000 engravings were produced based on Haeckel's sketches and watercolors.
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From del.icio.us
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"The basic idea is that instead of rotating around a circle, as in the normal 2D Mandelbrot, we rotate around phi and theta in 3 dimensional spherical coordinates." Creating 3D Mandelbrot Fractals.
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From feedburner.com
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Abstract Since its original publication in 1990, Kenneth Falconer's Fractal Geometry: Mathematical Foundations and Applications has become a seminal text on the mathematics of fractals.
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From topix.com
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