A fractal zoom on a mandelbrot set, finishing on a dendrite area. Made using XaoS (freeware program) Music: Aalborg Fantasy Soundtracks - Timefreeze (free on Audioswap)
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Arthur C. Clarke presents this unusual documentary on the mathematical discovery of the Mandelbrot Set (M-Set) in the visually spectacular world of fractal geometry. This show relates the science of the M-Set to nature in a way that seems to identify the hand of God in the design of the universe itself. Dr. Mandelbrot in 1980 discovered the infinitely complex geometrical shape called the Mandelbrot Set using a very simple equation with computers and graphics. ------------------------------------------------------- Springer Science + Business Media, LLC www.springer.com
I made this video because most of the sacred geometry videos on youtube are inadequate. They don't show much depth of understanding in applications. So I've tried to rectify that. The music is "Crackerblocks" by Ozric Tentacles. Enjoy!
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Music is "Research Lab" by Dark Flow ( www.myspace.com ) Read more geeky details and download the full-resolution video at fractaljourney.blogspot.com Details The final magnification is 2.1x10^275 (or 2^915). I believe that this is the deepest zoom animation of the Mandelbrot set produced to date (January 2010). Each frame was individually rendered at 640x480 resolution and strung together at 30 frames per second. No frame interpolation was used. All images were lovingly rendered by 12 CPU cores running 24/7 for 6 months. Self-similarity (mini-brots) can be seen at 1:16, 2:30, and at the end 5:00.
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www.ted.com At TED2010, mathematics legend Benoit Mandelbrot develops a theme he first discussed at TED in 1984 -- the extreme complexity of roughness, and the way that fractal math can find order within patterns that seem unknowably complicated.TEDTalks is a daily video podcast of the best talks and performances from the TED Conference, where the world's leading thinkers and doers give the talk of their lives in 18 minutes. Featured speakers have included Al Gore on climate change, Philippe Starck on design, Jill Bolte Taylor on observing her own stroke, Nicholas Negroponte on One Laptop per Child, Jane Goodall on chimpanzees, Bill Gates on malaria and mosquitoes, Pattie Maes on the "Sixth Sense" wearable tech, and "Lost" producer JJ Abrams on the allure of mystery. TED stands for Technology, Entertainment, Design, and TEDTalks cover these topics as well as science, business, development and the arts. Closed captions and translated subtitles in a variety of languages are now available on TED.com, at http Watch a highlight reel of the Top 10 TEDTalks at www.ted.com
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Magnificent fractals with Chi Mai from Ennio Morricone Chi Mai is the original soundtrack of french movie "Le Professionel" (1981) from George Lautner with Jean Paul Belmondo and Robert Hossein. Then Chi Mai was also used as the theme music of "Life and Times" of David Lloyd George There is a continuation of this video : fr.youtube.com with "le Vent, le Cri" of Ennio Morricone. There is a new version of this video there : www.youtube.com "Fractals with Heart Beats In Space" Thanks for all the comments. To use this video contact DirtyMagicFan
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I explain the Dragon Fractal, how it's made and describe one way of drawing it.
This is a presentation developed with Photostory MS, for class. By myself. It's about Fractal Art, basically I go over how to make a basic fractal, and include several entertaining facts about fractals. Sorry about the weird presentation errors.. such as my voice getting louder towards the end. It's because I did the last third after Christmas, and I'm not sure, but I must have been using a different microphone or something. In any case, Please leave a comment if you learnt anything ;)
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Many scientists have long been aware that the mathematical constructs known as fractals generate images that resemble forms in natural ecosystems. This is quite mysterious but it is also quite true. It is commonly said that fractals are easily found in nature. This video takes the inverse approach, namely, nature is easily found in fractals.
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Video feedback is a well-known phenomenon. If you hook a camera up to a TV and then point it at the TV, you get an infinite regression of images. However, you can use the same feedback phenomenon with multiple displays to make fractals. By displaying multiple smaller copies of what the camera sees, photographing that cluster of copies, and then repeating the process, you essentially create the self-similar structure seen in fractals. By moving and rotating the camera and projectors, you can create a very wide variety of fractal images. The images seen in this video are not software-processed in any way. The camera is plugged in directly to the projectors. The pulsing and color shifting comes from the white balance andgain control of the camera. In this setup, we're "computing" the fractal by using light on a wall as memory and the physical geometry of the path taken by the light into the camera and out from the projector as the processor to calculate the appropriate affine transformations. Given that both TV cameras and video projectors were around back in the late 1940s, it's possible that someone could have done this sort of setup at the dawn of the computer age. See more of my creative projects at mattishere.wordpress.com
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fractal anims from (Jock Cooper, www.fractal-recursions.com)with Ozrics tune
Google Tech Talk June 15, 2009 ABSTRACT The Marriage of Fractals and Splines: Fractals with Control Points, Splines as Attractors Presented by Ron Goldman, Department of Computer Science, Rice University. Fractals and splines have very different geometric features. Fractals can be continuous everywhere, yet differentiable nowhere. Fractals are often selfsimilar curves with fractional dimension. And fractals are also attractors, fixed points of iterated function systems. In contrast, splines are piecewise polynomial curves, so well behaved that they are often used for large scale industrial design and manufacture. Splines are essentially polynomials, so splines are onedimensional curves that are differentiable everywhere. Splines have control points -- polynomial coefficients -- that can be used to control the shape of the spline in an intuitive fashion. Moreover, unlike fractals, splines have parametrizations. Nevertheless, the goal of this talk is to marry fractals and splines: to demonstrate that fractals and splines share many geometric properties and algorithms. We shall show that just like splines, fractals can be parametrized and fractals have control points that allow us to adjust the shape of the fractal in an intuitive manner. Moreover, just like fractals, splines are attractors, fixed points of iterated function systems. We shall show how to apply fractal algorithms to generate splines and spline algorithms to generate fractals. We conclude that fractals and <b>...</b>
Song: Ambiquity Music by Melodic Energy Commission Fractal by Michel Gingras ArtMatic, Premiere Pro This is still a draft with very rough spots. I'm too eager to share this and would really appreciate comments. Next, render layers of video born of ArtMatic "listening"...
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This Fractal Explosion reminds the big bang, expansion, development and contraction of the Universe. Created with mathematical equations from the Chaos Theory. Programmed with Ultrafractal software. The futuristic music is "Winds Over the Neo-Tokyo" (from Akira anime movie), composed by Geinoh Yamashirogumi. Images, colors and animation created by me (Rodrigo Siqueira - Fractarte).
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www.elliottwave.com What's commonly called the Fibonacci sequence is proven to exist by way of fractals in everything from human and plant DNA to the world's financial markets. Popular television shows, such as CBS's Numbers, regularly highlight the usefulness of the Fibonacci sequence. Fibonacci even played a star role in Dan Brown's mega worldwide bestselling book, The Da Vinci Code, and later the film by the same name. There's no question that Fibonacci numbers are all around us. But, why should you care? New research by the award-winning Socionomics Institute suggests that Fibonacci might affect the way people think, the way individuals act in a crowd and even the way investors make financial decisions -- all are tied to the Fibonacci sequence. Several terms spawn from Fibonacci and what others call the Golden Ratio, including Spiral, Fractal, Herding, Golden Section, Golden Mean, Golden Number, Divine Ratio, Phi and more. However, there is only one one-stop-shop for everything Fibonacci, including the autonomous biography of the man that introduced Fibonacci to the Western world, Leonard of Pisa and the New Mathematics of the Middle Ages, otherwise known as Leonardo Fibonacci. This video is an excerpt from the Socionomic Institute's FREE online documentary History's Hidden Engine, which introduces the new science of Socionomics and the importance of Fibonacci in our everyday lives. If you'd like to watch the entire documentary or learn more about Fibonacci and the <b>...</b>
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www.ted.com "I am a mathematician, and I would like to stand on your roof." That is how Ron Eglash greeted many African families he met while researching the fractal patterns hed noticed in villages across the continent.TEDTalks is a daily video podcast of the best talks and performances from the TED Conference, where the world's leading thinkers and doers are invited to give the talk of their lives in 18 minutes -- including speakers such as Jill Bolte Taylor, Sir Ken Robinson, Hans Rosling, Al Gore and Arthur Benjamin. TED stands for Technology, Entertainment, and Design, and TEDTalks cover these topics as well as science, business, politics and the arts. Watch the Top 10 TEDTalks on TED.com, at http
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Roaming through a procedurally generated 3d fractal environment. Created using tools and scripts from code.google.com Shader based on "Pseudo Kleinian" by knighty, which was based on mandelbox shader by Rrrola. Original formula by Theli-at. Actally "reverse ingeneered" from his MB3D param files. Thanks theli :) www.fractalforums.com
Neighborhood of -.743643887037151 + .131825904205330i of the Mandelbrot Set. www.zettix.com
"All that is outside, also is inside" Goethe Mandelbrot's discovery of the infinitely transformative quality of fractal patterns has found many applications in nature, including consciousness and the mind. Like fractals, holoversal consciousness has no true boundaries and can expand infinitely to include our Oneness with all things. www.nahusholoverse.com consciousness Arthur Clarke Fractals Colors of Infinity Mandelbrot Set
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Arthur C. Clarke presents this unusual documentary on the mathematical discovery of the Mandelbrot Set (M-Set) in the visually spectacular world of fractal geometry. This show relates the science of the M-Set to nature in a way that seems to identify the hand of God in the design of the universe itself. Dr. Mandelbrot in 1980 discovered the infinitely complex geometrical shape called the Mandelbrot Set using a very simple equation with computers and graphics. ------------------------------------------------------- Springer Science + Business Media, LLC www.springer.com
download the original lossless HD mp4 @ www.hd-fractals.com music by 90watts.com OK this one is crazy! A deep magnification of the infinity deep and vastly complex Mandelbrot fractal set. The final magnification is e.75. Want some perspective? A magnification of e.12 would increase the size of an actual single particle to the same size as the earths orbit! e.21 would make that particle look the same size as the milky way! e.42 would be equal to the universe! This zoom is nearly double that. If you were actually traveling into the fractal, your speed would be faster than the speed of light. What is a fractal anyway? Well as you asked I will give you a brief run down.This particular fractal is called the Mandelbrot fractal set. The Mandelbrot fractal set is created using a mathematical formula that involves complex (infinite) numbers. These numbers are plotted onto a graph to produce the image. It is named after Benoît Mandelbrot. A famous mathematician who discovered fractal geometry. The boundary of this fractal is infinite. Meaning that when you magnify it, the edge of the boundary eventually becomes infinity complex. Buried within the Mandelbrot set are an infinite amount of smaller sets that are self similar to the original. This animation is a journey to a set so infinitesimally small that if you could see all of the original it would be bigger than the universe! Music is Tonu Su Tonu (Pablo Rez Remix) by Ivan Masa http used with permission from 90watts love fractals <b>...</b>
Sonification of a flame fractal. Composed by Gustavo Díaz-Jerez. Procedure: - X axis of image mapped to time, in seconds. - Y axis of image mapped to frequency (27.5 - 4163Hz, continuous, exponential scale, using sinusoids). - Red/Blue information transcribed to left/right channels. Green information computed separately and merged into file. - Brightness of pixels mapped to dynamic range. - Best if lisened with headphones. The right side shows a spectrogram and a bar diagram of the sound. The bottom shows the wave form. Postprocessing: reverb added. Fractal image rendered with Apophysis. Notice that this is not somehow inspired or "based" on the image. It IS how the image translates to sound for the given paramenters. More information and sheet music available at www.fractalmusicpress.net http
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Mandelbrot/Newton Variations to the music of JB Bach Using various Julia parameters Z=Fn1(Z); Z=Z-((Z^6+Z^4*P2-Sin(Z)+P1)/(6*Z^5+4*Z^3*Z°-Cos(Z)))+Z°
Fractal animation made with Mandelbulb3D. I originally designed it for Bryan Alvarez from UC Berkeley, for a TEDx talk about his Human Atlas project, to illustrate his initial dream about the beauty of living systems. This one is an enhanced version. This is a hybrid Julia fractal where many parameters are being animated: the fractal paramaters themselves, the Julia seed, the colors, and of course the camera position. For more details about 3D fractals and to download the Mandelbulb3D software, visit fractalforums.com. Watch my stills: bib993.deviantart.com Flattr This! flattr.com
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This is a video I made for the course "Fractals" while I was an Erasmus student at University of Turku (Finland). The interpolation is made from Koch curve to Barnsley's fern, from Barnsley's fern to Heighway's dragon and finally from Heighway's dragon to Koch curve. Frames were rendered with a Java software I wrote (FractalJ); The Gimp and MEncoder made the rest. FractalJ is available for download from binaryunit.blogspot.com (section "Software"); from the same website, you can download a high resolution version of this video. If you're interested in my Erasmus experience, this is my Erasmus blog (in italian): menoventitre.blogspot.com
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Lecture Series on Chaos, Fractals and Dynamical Systems by Prof.S.Banerjee,Department of Electrical Engineering, IIT Kharagpur. For more details on NPTEL visit nptel.iitm.ac.in.
Mysteriously beautiful fractals are shaking up the world of mathematics and deepening our understanding of nature. A fractal is "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. Fractals: they're famously found in nature and artists have created some incredible renderings as well. Fractals are purely a wonder -- too irregular for Euclidean geometry; iterative and recursive and seemingly infinite. They turn up in food and germs, plants and animals, mountains and water and sky.
Arthur C. Clarke presents this unusual documentary on the mathematical discovery of the Mandelbrot Set (M-Set) in the visually spectacular world of fractal geometry. This show relates the science of the M-Set to nature in a way that seems to identify the hand of God in the design of the universe itself. Dr. Mandelbrot in 1980 discovered the infinitely complex geometrical shape called the Mandelbrot Set using a very simple equation with computers and graphics. ------------------------------------------------------- Springer Science + Business Media, LLC www.springer.com
This video is the continuation of "Fractals with Chi Mai (Ennio Morricone" with new fractals and one of the best composition of Ennio Morricone : "Le Vent, le Cri". Thanks for commenting it and rating it.
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Mandelbrot Fractal - after many requests we post the reverse version of e228 Zoom !deep! music provided by 90watts.com If you are wondering what the heck you are looking at then check out this blog post.... http full length version (13m44s) can be seen on vimeo here... vimeo.com What can I say? how about the bare facts. I will let you make up your mind about the animation itself and hope you leave a comment. so here are the facts... Two days to set up, and then several months to render, resulted in around forty 1.9GB uncompressed .AVI files. I added watermarking, and time remapping, before multi-pass encoding the 80GB video in h264 (32768 kbit/sec) and the audio in AAC. The final result is a very high quality 13m44s 1.77 GB (1903726592 bytes) .MP4 can be downloaded instantly from my blog here www.hd-fractals.com then I compressed again to a very watchable 1GB (10000 kbit/sec) for vimeo. then I remapped the video from this and remixed another audio track to create A 10 minute version for youtube. actually the audio really is something special on this. special thanks to amsterdam based record label 90watts for this one! A decent stereo headphones are seriously recommended for this deep tech house sound. a two track mix by yours truly -- teamfresh. track one is rituals of mu mu (el mundo and satori mix) by prinsjan track two is dancing with the minotaur by unders and sven prinsen The starting point of this animation is an aprox magnification 6.066e+228 (2^760) of the <b>...</b>
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Arthur C. Clarke presents this unusual documentary on the mathematical discovery of the Mandelbrot Set (M-Set) in the visually spectacular world of fractal geometry. This show relates the science of the M-Set to nature in a way that seems to identify the hand of God in the design of the universe itself. Dr. Mandelbrot in 1980 discovered the infinitely complex geometrical shape called the Mandelbrot Set using a very simple equation with computers and graphics. ------------------------------------------------------- Springer Science + Business Media, LLC www.springer.com
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 mathematical fractal is based on an equation that undergoes iteration, a form of feedback based on recursion. 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; for instance, it is regular enough to be described in Euclidean terms. Images of fractals can be created using fractal generating software. Images <b>...</b>
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Key-frame animation test in Mandelbulber Animation was rendered using Mandelbulber 0.80 sourceforge.net © Copyright by Krzysztof Marczak music from Youtube AudioSwap: Crystal Harmony (Ray Kelley Band) topic on Fractal Forums: www.fractalforums.com Mandelbox reference: www.fractalforums.com
www.hd-fractals.com Originally posted on www.vimeo.com Here is a nice deep zoom into the Mandelbrot set. The words "nice" and "deep" fall a bit short actually. "Mathematical Porn" is a better description. After watching this video things in my room started to bend and breathe!! I hope you enjoy the trip!! The final magnification is e.214. Want some perspective? a magnification of e.12 would increase the size of a particle to the same as the earths orbit! e.21 would make a particle look the same size as the milky way and e.42 would be equal to the universe. This zoom smashes all of them all away. If you were "actually" traveling into the fractal your speed would be faster than the speed of light. You might like to know that this animation took me about two days to set up. My computer then rendered day and night non-stop for just over a month to produce the animation. The resulting twenty-eight anti-aliased 1280x720 AVI files (each just under 2GB) were each watermarked at full frames (uncompressed) Then I stitched them all together uncompressed. I also added the audio track at the same time. This was all done in Virtual dub. (except watermarking) The final watermarked Avi with audio is a whopping 46GB - Then I compressed it to 495mb so I could upload it onto vimeo. I think it still looks fairly crisp.. BY TEAMFRESH www.hd-fractals.com
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