Fractal Examples Considering Math, Techniques, Apllications and Imagery Apr 16
Fractal Geometry (a) The shape can be decomposed into pieces, each scaled by a factor of Consequently, Note this fractal and the Sierpinski gasket have the same similarity dimension. Not surprisingly, dimension alone does not always distinguish one fractal from another. (b) The shape can be decomposed into pieces, each scaled by a factor of Consequently, This fractal is called the Sierpinski carpet. (c) The shape can be decomposed into pieces, each scaled by a factor of r = Consequently, Note this fractal is gotten from example (b) by removing the top middle (red) piece. (d) The shape can be decomposed into pieces, each scaled by a factor of Consequently, Note this fractal is gotten from example (c) by moving the bottom middle (green) piece. Comparing (c) and (d) emphasizes that the dimension is determined by the number and size of the pieces, not by their locations.
Black and White Fractals That Capture Creativity
Fractal Software : FractalFoundation.org We believe that the best way to learn about fractals is to explore them yourself! Please download the fractal software below and begin to explore the infinite realm of fractals. XaoS for Windows | XaoS for Mac OS X | Instructions for XaoS | XaoS Open Source ProjectThis is the dazzling Real-Time Zoomer featured in our presentations. Explore the Mandelbrot set and 23 other fractals. Used by children everywhere, it’s even simple enough for adults.
Welcome to Fractal Forums - Index
Mandelbulb3D free download
Mandelbulb3D tutorial list 1) BASIC -introduction to MB3D (=tutorials that don't require any previous knowledge of MB3D and fractals ) VIDEO TUTPost message to report tutorial to be included here Mandelbulb 3D Tutorial - part 1 https://www.youtube.com/watch?
Mandelbulber free download
En los viajes de LSD que tuve, era recurrente la visión de unas formas geométricas bastante particulares. Mi intuición me aseguraba que aquello no eran simples alucinaciones, sino que podían estar encerrando algún significado secreto. Así que me puse a investigar. ¿Las formas de la naturaleza siguen un orden?
Liquid Sculpture - Water Drop photo: OpenHand
With this immersive installation, French artist Serge Salat invites visitors to take a journey through endless layers of space, decked out with cubic shapes, panels of mirrors, shifting lights and music. “Beyond Infinity” is a multi-sensory, multimedia experience that blends Eastern Chinese with Western Renaissance. Inspired by the Suzhou Gardens, a masterpiece of Chinese landscape, the three-lined trigram of I Ching is the main pattern that organizes the space of the work.
Mini Post-It sponge - a set on Flickr
Cette onde m'appartient. Je suis l'inventeur de cette onde à vitesse variable. En juin 2002, j'ai publié un livre intitulé « La matière est faite d'ondes », qui est protégé par un droit d'auteur, et dans lequel elle figurait en bonne place. Puisque cette onde permet à elle seule d'expliquer sans peine la matière et tous les phénomènes physiques, il s'agissait d'un événement de la plus haute importance.
Anton Parks - Biographie
Syntopia I have written a lot about distance estimated ray marching using OpenGL shaders on this blog. But one of the things I have always left out is how to setup the camera and perspective projection in OpenGL. The traditional way to do this is by using functions such as ‘gluLookAt’ and ‘gluPerspective’. But things become more complicated if you want to combine ray marched shader graphics with the traditional OpenGL polygons. And if you are using modern OpenGL (the ‘core’ context), there is no matrix stack and no ‘gluLookAt’ functions. This post goes through through the math necessary to combine raytraced and polygon graphics in shaders.
Fragmentarium is an open source, cross-platform IDE for exploring pixel based graphics on the GPU. It is inspired by Adobe's Pixel Bender, but uses GLSL, and is created specifically with fractals and generative systems in mind. Features: Multi-tabbed IDE, with GLSL syntax highlighting User widgets to manipulate parameter settings High-resolution (tile) renderings Progressive rendering, for high quality AA, and distributed ray tracing. HDR (RGBE .HDR) support and tone mapping Support for simple animations Modular GLSL programming - include other fragments More than 100 examples, including 3D fractals (Mandelbulb, Mandelbox, Quaternion, Kaleidoscopic IFS), 2D fractals (Mandelbrots, Ducks, spherical Julias), Heightmaps, Knots and Hyperbolic Tesselations. Fragmentarium
Buddhabrot A Buddhabrot iterated to 20,000 times. Discovery The Buddhabrot rendering technique was discovered and later described in a 1993 Usenet post to sci.fractals by Melinda Green. Previous researchers had come very close to finding the precise Buddhabrot technique. In 1988 Linas Vepstas relayed similar images to Cliff Pickover for inclusion in Pickover's forthcoming book Computers, Pattern, Chaos, and Beauty. This led directly to the discovery of pickover stalks.
Software 3D graphics - index
What is Gnofract 4D? Gnofract 4D is a free, open source program which allows anyone to create beautiful images called fractals. The images are automatically created by the computer based on mathematical principles. These include the Mandelbrot and Julia sets and many more.
Render All Flames | Apophysis 3D Revealed
Incendia is a 3D Multiprocessor Fractal Engine that allows you to explore the realm of the 3D fractals The program is in a development stage and has the following features: 1024, 2048, 2560 and 3072 px image resolutions (4096 and 8192 px for donors) Supports 2X Antialiasing for smooth fractal renders 45 3D fractal types (many to come in next releases) Fractal Scripting support, for creating new fractal types Texture library that allow to import external ones Color Gradient support Multiple Rendering Styles (Including volumetric fog and many new render shaders) Multicore render engine 3D Baseshapes for Fractal based constructions (includes six different displacement mapping baseshapes) Fractal Tranformation Editor 3D baseshape Editor Material Editor 3D Mesh Export (volumetric mesh exports up to 1000x1000x1000 voxels for donors) Buffer Saving (for long renders) Animation Support
They're all very nice, but imagine such pictures in three dimensions, with all the advantages that 3D can allow such as parallax, perspective, and richer detail along with subtle light sourcing, shadows, and reflections. And actually, it turns out there are quite a few '3D' Mandelbot pics out there if you look..... Mandelbrot Flavours .....But are they the real McCoy, or just pale imitations? In fact, whenever you see a so-called 3D Mandelbrot image, roughly speaking, they can be divided into four types:
Art by Computer
Chaoscope > Fractal Waveform Love Butter
XenoDream Software 3D graphics - index
fractalus (Fractals/Fractal Art, Contests, and Info)
Fergus Ray Murray's Homepage - Science, Sculpture, Photography, Animation, etc
ICM 2006 Benoit Mandelbrot Fractal Art Contest ~~ Entry: Fingers Holding Secrets
Hyperbolic Orthogonal Dodecahedral Honeycomb