The Unravelling of the Real 3D Mandelbrot Fractal
Visit First page Experimenting with iterations and powers Okay enough eye candy for now. The final stage (infinity iterations) is very similar at first glance to iteration 5000 (unless you zoom right in), as the shape converges to a shape comprised of tangent circles. One interesting question is: Does this same phenomenon happen with our power 8, 3D Mandelbulb? Power 8 (zooming into this object produces all the eye candy on the previous page): Click any picture to enlarge. A higher quality image below, and a super-large 4000x4000 version is here for the patient. And once you zoom into that, you get the magic as shown before. Squaring (power 2) Zooming in to the object above will produce mostly relatively dull patterns and maybe one or two surprises, but which still mostly have only 'whipped cream' style textures (see here for a 7500x7500 pixel render if you're patient). Finally, let's take a look at power 3. Power 3 Click any to enlarge. Interesting. Power 16 And some zoom ins... z -> z^n + c
Astrology & the Chakras
In this article I would like to explore the exciting possibility of bridging two of history's greatest psychological systems -- astrology and the chakras. Conventionally, these two systems have been seen as having little or nothing to do with each other, the former primarily concerning the outer world, or macrocosm, and the latter involving the inner world, or microcosm. In fact, as we shall soon see, these two systems are but two sides of the same coin, each one complementing the other and thus enhancing our understanding of both. The basic system of correspondences I will be using here is drawn from teachers I have studied with in the Kriya Yoga lineage.1 The general system of "chakric horoscopes" and their guidelines for interpretation are my own, developed over more than a decade of working with these basic correspondences. What Are the Chakras? In Sanskrit, the word chakra (sometimes spelled "cakra") literally means "wheel". Chakra 1, at the base of the spine, is called Muladhara.
Kaleidoscopic (escape time) IFS
Hello,Here are some renderings of a class of fractals which I call "Kaleidoscopic IFS". There is a big variations of shapes one can get with this method.I began with this algorithm to get DE for symmetric Sierpinski tetrahedron: Then I added a rotation before the fold or before the stretch or both. //scale=2//bailout=1000sierpinski3(x,y,z){ r=x*x+y*y+z*z; for(i=0;i<10 && r<bailout;i++){ rotate1(x,y,z); if(x+y<0){x1=-y;y=-x;x=x1;} if(x+z<0){x1=-z;z=-x;x=x1;} if(y+z<0){y1=-z;z=-y;y=y1;} rotate2(x,y,z); x=scale*x-(scale-1); y=scale*y-(scale-1); z=scale*z-(scale-1); r=x*x+y*y+z*z; } return (sqrt(r)-2)*scale^(-i);//the estimated distance} Then I allowed the center of stretching to be modified. x=scale*x-CX*(scale-1); y=scale*y-CY*(scale-1); z=scale*z-CZ*(scale-1); r=x*x+y*y+z*z; } return (sqrt(r)-2)*scale^(-i);//the estimated distance} The set of folding operation may be different. if(x+y<0){x1=-y;y=-x;x=x1;} if(x+z<0){x1=-z;z=-x;x=x1;} if(y+z<0){y1=-z;z=-y;y=y1;} - cubic symmetry planes: Ah!
Pacmaze a packy in a maze
[WIP] Procedural fractal mesh generation
Hi everyone! Example settings for the branching generator. It's fast enough on my computer that it's pretty much realtime in the editor when changing values. I'll try to update a gif example of this later on
Mandelbulber
Most people have heard something about fractals. There are many natural fractal shapes like clouds, trees, broccoli, etc. The most famous mathematical fractal is the Mandelbrot set. This fractal is two-dimensional. By the end of 2007, a small group of people from www.fractalforums.com decided to develop algorithms and software for rendering 3D fractals. Rendering of first images took a lot of time, and was very difficult because the first programs didn't have any user interface. New types of 3D formulas were also discovered. These fractals can be zoomed infinitely like two-dimensional fractals.
Psilocybin mushroom
Psilocybin mushrooms, also known as psychedelic mushrooms, are mushrooms that contain the psychedelic drugs psilocybin and psilocin. Common colloquial terms include magic mushrooms and shrooms.[1] Biological genera containing psilocybin mushrooms include Copelandia, Galerina, Gymnopilus, Inocybe, Mycena, Panaeolus, Pholiotina, Pluteus, and Psilocybe. About 40 species are found in the genus Psilocybe. Psilocybin mushrooms have likely been used since prehistoric times and may have been depicted in rock art. History[edit] Early[edit] Archaeological evidence indicates the use of psilocybin-containing mushrooms in ancient times. Hallucinogenic species of the psilocybe genus have a history of use among the native peoples of Mesoamerica for religious communion, divination, and healing, from pre-Columbian times to the present day. Modern[edit] Inspired by the Wassons' Life article, Timothy Leary traveled to Mexico to experience psilocybin mushrooms firsthand. Occurrence[edit] Effects[edit]
‘Formations’: A SPAN exhibition at the MAK Gallery
Architects Matias del Campo and Sandra Manninger, former recipients of MAK-Schindler Scholarships for the Artists and Architects-in-Residence Program in Los Angeles, teamed up in 2003 to found the Viennese studio SPAN, which designed the Austrian Pavilion for Expo 2010 in Shanghai together with Zeytinoglu ZT. The team conceives of architecture as a process and works in the field of applied architectural theory, i.e. at the interface with research. Their projects are centered on future-oriented strategies of designing. For the MAK Gallery, SPAN planned a spatial intervention transferred into a black box. Images and more information on the exhibition after the break. In terms of their revolutionary conception of architecture, their methodical approach and their aesthetic, computer-guided formal language, del Campo and Manninger display a certain proximity to Greg Lynn and Hernán Diáz Alonso—both of whom are viewed as representatives of contemporary amorphous architecture.
Structure Synth
3D Mandelbulb Fractal Ray Tracer
This implementation was written as a Pixel Bender filter then ported over to QuartzComposer as a GLSL patch to enable animation. The scripts run on the GPU which makes real-time interactive exploration possible. For more information behind the discovery of the Mandelbulb see the accompanying blog post. More images in the gallery and on Flickr. Animation Animations can be created in Adobe After Effects using the .pbk files, but it will be very slow to render as the calculations have to be performed on the CPU rather than the GPU. Download and installation Download the 3D Mandelbulb Ray Tracer Note: there are two versions of each filter, the quick and and the normal. For Pixel Bender open the Mandelbulb.pbk file with the Adobe Pixel Bender Toolkit or copy it into the Pixel Bender Files folder in your Photoshop CS4 installation directory (you will need to have installed the PB plugin for Photoshop first). How to use Defining the fractal power: the power n used in the fractal equation. Navigation
