# fractal

share## Examples

fractal's examples

- The word "fractal" has two related meanings. In colloquial usage, it denotes a shape that is recursively constructed or self-similar, that is, a shape that appears similar at all scales of magnification and is therefore often referred. —
*“Fractal - Computer Graphics”*, - 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. A mathematical**fractal**is based on an equation that undergoes iteration, a form of. —*“Fractal Geometry, Benoît Mandelbrot - Crystalinks”*, **Fractal**definition, a geometrical or physical structure having an irregular or fragmented shape at all scales of measurement between a greatest and smallest sca See more. —*“Fractal | Define*,**Fractal**at ”- The term
**fractal**was coined in 1975 by Benoît Mandelbrot, from the Latin fractus or "broken"**Fractal**geometry is the branch of mathematics which studies the properties and behaviour of fractals. —*“Fractal - Definition”*, - 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,"[1] a property called self-similarity. Roots of mathematically rigorous treatment of. —*“Fractal - Wikipedia, the free encyclopedia”*, - From the creators of the award-winning game Auditorium comes Fractal, a new ambient music puzzler experience. Cluster and Chain your way through a pulsing technicolor dreamscape that reacts to your every move, while manipulating Fractals,. —
*“Fractal - Home”*, - 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). —*“Fractal”*, schools- - In common parlance, fractal, from the Latin fractus,[1] meaning "broken", designates a highly irregular or "infinitely complex" shape that appears Mathematicians avoid giving the strict definition,[2] and use the term
**fractal**to refer to a geometric object that has (most of) the following. —*“Fractal - encyclopedia article - Citizendium”*, **Fractal**music is one slice of the study of fractals in general. The possibility of using**fractal**methods to create music was first mentioned upon the discovery that all music, regardless of culture, followed the patterns of**fractal**motion or 'pink noise. —*“Fractal Music”*, tursiops.cc- The
**Fractal**Foundation uses the beauty of fractals to inspire interest in Science, Math and Art. Invite the**Fractal**Foundation to visit your school!. —*“”*, - A
**fractal**is an irregular geometric shape that can be divided into parts in such a manner that the shape of each part resembles the shape of the whole. This property is called self-similarity. However, not all self-similar objects are fractals. —*“Fractal - New World Encyclopedia”*, **fractal**n. A geometric pattern that is repeated at ever smaller scales to produce irregular shapes and surfaces that cannot be represented by. —*“fractal: Definition from ”*,- Computer generated artwork, with thousands of downloadable images and a new
**fractal**every day!. —*“Sprott's*, sprott.physics.wisc.edu**Fractal**Gallery” - The boundary of the Mandelbrot set is a famous example of a fractal. A
**fractal**as a geometric object generally has the following features:. —*“Fractal”*, - A
**fractal**is a geometric object which is rough or irregular on all scales of length, and so which appears to be 'broken up' in a radical way. Fractals are said to possess infinite detail, and they may actually have a self-similar structure that occurs at different levels of magnification. —*“BIGpedia -*,**Fractal**- Encyclopedia and Dictionary Online” - The term
**fractal**is now used as a scientific concept, as well as a strictly mathematical idea. More specifically, in mathematics a**fractal**is a set with Hausdorff. —*“Fractal - Wikinfo”*, - If you know computer programming and are interested in creative activities in
**fractal**art, the basic techniques described in Stories about**Fractal**Plotting and**Fractal**Art should provide you with a good starting point. You don't need to know. —*“Sekino's*, willamette.edu**Fractal**Gallery” - Definition of
**fractal**in the Online Dictionary. Meaning of fractal. Pronunciation of fractal. Translations of fractal.**fractal**synonyms,**fractal**antonyms. Information about**fractal**in the free online English dictionary and encyclopedia. fractals. —*“fractal - definition of*,**fractal**by the Free Online Dictionary” - Fractals are used especially in computer modeling of irregular patterns and structures in nature. Fractals are extensions of traditional Euclidean shapes, such as lines, squares, and circles, with two fundamental properties:. —
*“Fractal Pages of Paul N. Lee”*, - A
**fractal**is a rough or fragmented geometric shape that can be split into many parts. Each of the part is a copy of the whole but in reduced size. It is an object that displays self-similarity in a somewhat technical sense. Fractals can be. —*“Fractal - Kosmix : Reference, Videos, Images, News, Shopping”*, **Fractal**geometry plays two roles. It is the geometry of deterministic chaos and it can also describe the geometry of mountains, clouds and galaxies To make sense of**fractal**geometry we have to find ways of expressing. —*“Fractals”*,- What is a fractal? What are some examples of fractals? A
**fractal**is a rough or fragmented geometric shape that can be subdivided in parts, each of which is (at least approximately) a reduced-size copy of the whole. Fractals are generally self-similar and independent of scale. —*“Fractal Art FAQ: Basic*,**fractal**information” - While the classical Euclidean geometry works with objects which exist in integer dimensions,
**fractal**geometry deals with objects in non-integer dimensions. While a straight line has a dimension of exactly one, a**fractal**curve will have a dimension between one and two, depending on how. —*“Fractals And*,**Fractal**Geometry”

## Videos

related videos for fractal

**The Teaching Company: Chaos**It has been called the third great revolution of 20th-century physics, after relativity and quantum theory. But how can something called chaos theory help you understand an orderly world? What practical things might it be good for? What, in fact, is chaos theory? "Chaos theory," according to Dr. Steven Strogatz, Director of the Center for Applied Mathematics at Cornell University, "is the science of how things change." It describes the behavior of any system whose state evolves over time and whose behavior is sensitive to small changes in its initial conditions. Visit our website at www.TEACH12.com/YouTube for other Great Courses taught by Great Professors. Courtesy of Wolfgang Beyer () (c) VEER David Jordan Williams/Photonica/Getty Images**Gregg Braden: Fractal Time**On Demand: A quick synopsis of Gregg's newest book, Fractal Time: The Secret of 2012 and a New World Age.**Rocketboom: Juliaset, Fractals, & Chaos**today's sponsor: tubes | story links: chaos theory (via), gaston julia, julia set, benoit mandelbrot, madelbrot set, fractals, earthquake predictions chaos, darpa security chaos, artificial intelligence chaos, pathology chaos, cardiology chaos, invader set**Ron Eglash: African fractals, in buildings and braids**"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 , at http**Fibonacci, Fractals and Financial Markets -**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 ...**Arthur Clarke - Fractals - The Colors Of Infinity 5 of 6**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.**Make a Fractal Antenna for HD + Digital TV**Fractal Antenna From Wikipedia, the free encyclopedia "An example of a fractal antenna: a space-filling curve called a Minkowski Island (ref 1).A fractal antenna is an antenna that uses a fractal, self-similar design to maximize the length, or increase the perimeter (on inside sections or the outer structure), of material that can receive or transmit electromagnetic signals within a given total surface area or volume. Such fractal antennas are also referred to as multilevel, and space filling curves, but the key aspect lies in their repetition of a motif over two or more scale sizes,[1] or 'iterations'. For this reason, fractal antennas are very compact, are multiband or wideband, and have useful applications in cellular telephone and microwave communications. A good example of a fractal antenna as a spacefilling curve is in the form of a shrunken fractal helix [2] Here, each line of copper is just small fraction of a wavelength. A fractal antenna's response differs markedly from traditional antenna designs, in that it is capable of operating with good-to-excellent performance at many different frequencies simultaneously. Normally standard antennas have to be "cut" for the frequency for which they are to be used—and thus the standard antennas only work well at that frequency. This makes the fractal antenna an excellent design for wideband and multiband applications.... Fractal element antennas and superior performance Antenna elements (as opposed to antenna arrays) made ...**Best Fractal Zoom Ever**Neighborhood of -.743643887037151 + .131825904205330i of the Mandelbrot Set.**The Sound of Fractals & Photographs**Various fractals and photographs found around the web turned into sounds using Photosounder. Links to the original image (when it still exists) in the annotations.**Trip to center of hybrid fractal**Flight into the center of 3D hybrid fractal. Animation was rendered using Mandelbulber 0.90 Total rendering time was 165 hours. Music: some from YouTube Audioswap (unfortunatelly I forget the title) © Copyright by Krzysztof Marczak please visit**Fractal Design Define R2 Mid-tower Case Review, by**Bill's website Nate's website http**IFS fractal**IFS fractal rendered with Mandelbulber 0.70 © Copyright by Krzysztof Marczak Music (from audio-swap): Terry Devine-King - Lost in Time**Dragon Fractal**I explain the Dragon Fractal, how it's made and describe one way of drawing it.**Arthur Clarke - Fractals - The Colors Of Infinity 4 of 6**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.**Fractal Music**This video is related to fractal music, an application of fractals.**Fractal Design Define R2 Silent Computer Case Unboxing & First Look Linus Tech Tips**The Define R2 is not available in Canada yet, but I've got my hands on an early sample and I'm very excited to check this case out.**Pink Fractal**A HARDSTYLE fractal tierzon fractal, blender rendered diamond animation. Live trumpet live drums and trumpet, synthesized bass.**Fractal Flight - a fractal zoom animation**A flight through the fractal world of colorful fantasy. Produced with Adobe After Effects. Music from a royalty free collection I bought years ago by a company called Solectro. It's from their Sonic Vistas #1 disc, a cut titled "Clear".**Fractal Zoom Mandelbrot Corner**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)**HD ~ Abiguity ~draft~ Fractal Video**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"...**Baroque Mandelbrot Zoom**A zoom into the "Seahorse Valley" region of the Mandelbrot Set. Set to "La Villageoise" by Rameau, performed by Trevor Pinnock. (Music -- and therefore this video -- are subject to the Creative Commons license. Check out .)**Fractals with Le Vent, le Cri (Ennio Morricone)**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.**Fractal Explosion**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).**Fractal Zoom (HD) to 6.066 e228 (2^760) Mandelbrot - (Last Lights On)**Fractal Zoom !deep! Download lossless 1.8GB version @ www.hd- and witness the crispness! :) music provided by 90 If you are wondering what the hell you are looking at then check out this blog post.... http full length version (13m44s) can be seen on vimeo here... 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, fx 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- 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 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 tonu su tonu by ivan masa (pablo rez remix) Quote "Pablo Rez surprised us with this strong tech house remix. A track you almost can drop any where, any time" track two is soul survivor by solar brothers ft sherry ...**Bruce H Lipton, PhD "Fractal Wisdom"**/omega/faculty/viewProfile/aa93c33f59447cadf04f36cfbd9c7e07/?source=UTB Bruce H Litpon, PhD uses the insights of fractal geometry to explain how unique answers to the global issues of human community may be solved by learning from the integrated community of cells within the human body. If this is interesting to you, consider jumping off into the deep end in this year's workshop with Daniel Pinchbeck at the omega campus: or check out our other workshops working to delve into evolving ways of life that equate a sustainable human culture: Omega Institute**Flight through Mandelbox fractal**This animation shows interior of Tglad's Mandelbox fractal (scale = -2). Animation was rendered using my program © Copyright by Krzysztof Marczak**Arthur Clarke - Fractals - The Colors Of Infinity 2 of 6**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.**Fractal Design Define XL Titanium Grey Tower Computer Case Unboxing & First Look Linus Tech Tips**It's like the Define R3, except bigger and better!**The Marriage of Fractals and Splines**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 ...**Ozric Tentacles - Fractal Eternal Wheel**fractal anims from (Jock Cooper, www.fractal-)with Ozrics tune**Arthur Clarke - Fractals - The Colors Of Infinity 3 of 6**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.**Fractal Trees**Animation of a self-similar tree fractal I made while on the train. C++ program creates postscript of each frame, ghostview renders to PNG, and then ffmpeg strings the PNGs into an MP4 format (bit geeky)**Fractals - Mandelbrot**Here is a wonderful video of a Mandelbrot fractal brought to life. Obviously, someone had the presence of mind to subtitle it. Nerd power +5. for those who care.**Fractal interpolations**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 (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):**Fibonacci's Fractals**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!**Fractal Evolution: Alan Steinfeld interviews Bruce Lipton**New Realities with Alan Steinfeld interviews evolutionary biologist Bruce Lipton about our biological destiny and how our future is not in individual evolution, but in coming together as One Voice to form a wholeness known as Humanity**Benoit Mandelbrot: Fractals and the art of roughness**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 , at http Watch a highlight reel of the Top 10 TEDTalks at**Fractals with Chi Mai (Ennio Morricone)**Magnificent fractals with Chi Mai from Ennio Morricone, an italian composer who composed for hundreds and hundreds movies. 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 : with "le Vent, le Cri" of Ennio Morricone. There is a new version of this video there : "Fractals with Heart Beats In Space" Thanks for all the comments. To use this video contact DirtyMagicFan fractal fractals fractales**Sequences 7: Fractals 1**An introduction to fractals.**Arthur Clarke - Fractals - The Colors Of Infinity 1 of 6**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.

## Blogs & Forum

blogs and forums about fractal

*“Fractal Ship”**—***Fractal**Ship,*“geek chic culture FTW You can read about the new features and tell us what you think on our redesigned blog. Benoit Mandelbrot,the creator of***fractal**geometry died at the age of 85 last week”*— The Fractalspin Blog woot!,**“Art - community of artists and those devoted to art. Digital art, skin art, themes, wallpaper art, traditional art, photography, poetry / prose. Art prints”**— #Ultra-Fractal Blog on deviantART, ultra-**“All blogs that belong to the***Fractal**Blog Network are covered by these policies. por Blog and Web | Distributed by Blogger Blog Templates of the**Fractal**Blog Network”*—***Fractal**Blog Network: Blog Policies,*“Traders-Talk.com > Community Blog > Hank's***Fractal**Trading Blog. 29 Pages 1 2 3 > Posted by Frac_Man, Aug 19 2009, 03:27 PM in Daily**Fractal**Comment”*— Traders-Talk.com -> Hank's***Fractal**Trading Blog, traders-*“Fractal Audio Systems. eXtreme Digital Forum. FAQ. Last visit was: Sun It is currently Sun Nov 28, 2010 6:04 am. Board index. All times are UTC. Forum. Topics. Posts”**—***Fractal**Audio Systems • Index page,*“The***Fractal**Foundation uses the beauty of fractals to inspire interest in Science, Math and Art”*— Blog : ,**“Fractal Energy Mandala, Transformational Intuitive Artwork Quantum***Fractal**Energy Blog. Written by K. Allen Kay. Wednesday, 21 April 2010 15:22. Here is a the Personal**Fractal**Energy Mandala I created for my friend Cyndi Dale author of countless books on Chakras and energy healing. Cyndi is Amazing!”*— Quantum***Fractal**Energy Blog,*“Founded by dr.kaos in February of 2005, kaos.theory/security.research was formed to bring together the brightest minds in the information technology and security communities, willing to contribute their ideas and dedicate their free time and”**— kaos.theory:***fractal**blog :: information security, the, kaos.to*“My brother pointed out to me that it's got a similar spiral pattern to what you'd see in the seeds on a sunflower--fractal shapes are everywhere, folks. On the technical side, this flame is pretty tame. That's probably why it's more obviously fractal”**— Blog ~***Fractal**Abstract Blog,

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