81. Chaos, Solitons & Fractals - Elsevier Journal which includes applications in science and engineering. Tables of contents and abstracts; full text to subscribers. http://www.elsevier.com/locate/chaos

82. Fractals - Bill Williams - Technical Indicators - Technical Analysis fractals Bill Williams - Technical Indicators - MQL4 Technical Analysis http://ta.mql4.com/indicators/bills/fractal

Technical Analysis Login Register ru cn en Search Documentation Book TA ... Bill Williams Fractals Accelerator/Decelerator Oscillator Alligator Awesome Oscillator Fractals ... Market Facilitation Index Analyze with the new MetaTrader 5 Fractals All markets are characterized by the fact that on the most part the prices do not change too much, and only short periods of time (15–30 percent) account for trend changes. Most lucrative periods are usually the case when market prices change according to a certain trend. A Fractal is one of five indicators of Bill Williams’ trading system, which allows to detect the bottom or the top. Fractal Technical Indicator it is a series of at least five successive bars, with the highest HIGH in the middle, and two lower HIGHs on both sides. The reversing set is a series of at least five successive bars, with the lowest LOW in the middle, and two higher LOWs on both sides, which correlates to the sell fractal. The fractals are have High and Low values and are indicated with the up and down arrows. The fractal needs to be filtrated with the use of Alligator . In other words, you should not close a buy transaction, if the fractal is lower than the Alligator’s Teeth, and you should not close a sell transaction, if the fractal is higher than the Alligator’s Teeth. After the fractal signal has been created and is in force, which is determined by its position beyond the Alligator’s Mouth, it remains a signal until it gets attacked, or until a more recent fractal signal emerges.

83. Soler's Fractal Gallery Includes images made using TieraZon and other programs. Links, downloads, and articles on fractals. http://soler7.com/Fractals/FractalsSite.html

SOLER'S FRACTAL GALLERY If you know next to nothing about fractals then you might want to read an elementary explanation of the what, why, how, and when of fractals. What are fractals? If you just want to look at some fractal pictures then click on one of the small images on this page. You are welcome to keep copies of the images. I began making fractals in 1998 and have made over 16,000 two-dimensional ones, mostly using a wonderful program called Tierazon (v2.7). I have also made over 1,900 three-dimensional fractals. My best 575 fractals are on this site. Most of these fractals were made using one of the programs written by the amazing Stephen C. Ferguson. Since the large images are best seen full-screen, please hit F11. Grand Premiere SterlingW266aa1 Corn flower Tierazon4875aa Metal plate Tierazon1424aa Stormy world Tierazon2963aa3 Upward towards oblivion Tierazon3367aa Fractal rocket science Tierazon526aa Energy beams Tierazon4172aa Fetish ktaza235aa Copper life form Tierazon4046aa Pond ktaza376aa Mystic cross Tierazon4618aa Super volcano Tierazon4414aa More two-dimensional fractals Three-dimensional fractals New Sterling2 is an excellent and free fractal generating program based on Stephen Ferguson's Sterling . Download it here . Rooms 20 to 23 showcase fractals made using Sterling2. New: nineteen gallery pages, some movies and an explanation of

84. Fractals - EscherMath Relevant examples from Escher's work Smaller and Smaller. Also see the geometric scaffolding in Visions of Symmetry, pg. 252. Regelmatige vlakverdeling, Plate VI http://math.slu.edu/escher/index.php/Fractals

Fractals From EscherMath Jump to: navigation search Romanesco Broccoli. Relevant examples from Escher's work: Smaller and Smaller . Also see the geometric scaffolding in Visions of Symmetry , pg. 252. Regelmatige vlakverdeling, Plate VI Square Limit . Also see the geometric scaffolding in Visions of Symmetry , pg. 315. Print Gallery Fish and Scales Division Sketch #101 (Division lizards) One of Escher's recurring themes is his desire to represent infinity in an artwork. His tessellations are potentially infinite, but disappointing in that only a finite portion can be shown at once. After 1955 Escher switched from experimenting with congruent shapes to experimenting with similar shapes to better represent the infinite. Smaller and Smaller was an early attempt, and one of his first to show infinitely many motifs on the page. We can see infinity in the center of the print, but at the outside edge there would be room to add increasingly larger images of lizards. Unsatisfied with this, Escher created Square Limit , in which the infinite motifs collect at the edge of the print rather than in the center. Both Smaller and Smaller and Square Limit are excellent examples of fractals.

85. Fractal Art - By Cheryl Lee Harnish Gallery of meditative fractals. Offers personal intuitive fractal readings and individual fractals created from your energy. By Cheryl Lee Harnish. http://www.fractalart.ca

Home Tell A Friend about FractaArt.ca Fractal Stuff Fractal Art Cards ... Links Main Video Soul Search Fractal Effects Holy Grail Fractal Energy Contact About Services Each intuitively channeled fractal art piece created by Cheryl Lee Harnish emanates an energy, in essence, it is like a "living organic art" and our auras respond to this energy by expanding up to twice it's normal size, the same way our bodies respond to joy by smiling. Why? Everything in the natural world is created based on fractal mathematics; everything including our own DNA. Studies at the University of Oregon show that simply looking at a fractal of mid-range complexity increases a sense of well-being and peace; the subconscious mind recognizes fractals. Our DNA use a form of fractal based "grammar" to communicate with each other. Anywhere from 30% of crops circles or more in a given year display basic fractal shapes. Many people experience fractal images during deep altered states and even during Near-Death Experiences. Physics is even showing a fractal re-construction of DNA induced by states of Bliss which many believe are a part of our evolution in Ascension. Path of the Soul, Destiny Cards

86. Java Fractals This page contains java applets to generate a number of different fractals, written by James Henstridge. These include an IFS fractal generator, http://www.daa.com.au/~james/fractals/

Home Software Talks Articles Fractals IFS fractals Mandelbrot Orbit Fractals Photos ... Diary Java Fractals Update - As well as the new look, I have removed the old mandel0 applet, since it has been superceded by the Classic Mandelbrot/Julia Set applet. Also the code has been moved to the end of this contents page to make rest of the site look more user friendly. You will also notice that I have added a section on orbit fractals that contains six new applets. IFS Fractals What is an IFS fractal My Java IFS Applet Some IFS fractals Sierpinski Triangle Fern Spirals Dragon ... IFS Formula Complex Number Fractals Update - These fractals now work with Windows. Also, if they worked for you before, they will prbably run faster with more colours. (If you are interested in what changed, I have switched over to using an ImageProducer interface) If you want a better resolution, select a different pixel size from the list box (1 is best), and press the redraw button. What Does This Applet Do How the Formula is Used Different Sets: Classic Mandelbrot/Julia Set Cubic Mandelbrot/Julia Set Quartic Mandelbrot/Julia Set Phoenix Set ... Newton-Raphson type Fractal Orbit Fractals Orbit Fractals Introduction Fractal Popcorn Fractal Gingerbreadman Hopalong Orbit Fractal ... Inverse Julia Set Fractal Code Code for all my fractal applets IFS Applet Code Mandel0 Applet Code - My first attempt at a Mandelbrot Set applet.

87. â–º Fractals: History/formula/definition/meaning/Mandelbrot Set Generator An interactive version of the famous discovery made by Benoit Mandelbrot fractals http://www.webweevers.com/fractals.htm

88. Fractal Art Network Features sites with fractal images, fractals combined with other art forms, and technical explanations of fractal art. http://www.webring.com/hub?ring=fractalartnetwor

89. 17 Captivating Fractals Found In Nature : WebEcoist Sep 7, 2008 fractals are a wonder too irregular for geometry; seemingly infinite. They turn up in food, germs, plants, mountains and more. http://webecoist.com/2008/09/07/17-amazing-examples-of-fractals-in-nature/

90. Fractals Nobody on their deathbed says I wish I'd spent more time at the office. Take off your masks. Live, the time is now. http://www.whidbey.com/parrott/fractals.htm

Home Derek's Music Discography and Store Someone Who Cares Open Up ... Interview Derek's Interests Excerpts from conversation's with Michael Toms and Joseph Campbell Fractals Excerpts from "Joseph Campbell - The Power of Myth with Bill Moyers" To Contact Derek Parrottracks P.O. Box 371 Anahola, HI 96703 parrott@ whidbey.com Fractals Excerpts from "Fractals - The Patterns of Chaos" by John Briggs DISCOVERING A NEW (AND OLD) AESTHETIC The spiral of life, as this pattern might be called, appears on Stone Age structures around the world. This carving is from Sligo, Ireland, dated at about 2500 b.c. By intuition or some ancient religion-science, the inscribers of these marks seem to have grasped that the spiral pattern symbolizes activity in the life-giving boundary between order and chaos. Anthropologists say the spiral is the ancient symbol for the labyrinth, the twisted pathway for a journey to the core of being. We are floating in a medium of vast extent, always drifting uncertainly, blown to and fro; whenever we think we have a fixed point to which we can cling and make fast, it shifts and leaves us behind; if we follow it, it eludes our grasp, slips away, and flees eternally before us. Nothing stands still for us. This is our natural state and yet the state most contrary to our inclinations. We burn with desire to find a firm footing, an ultimate, lasting base on which to build a tower rising up to infinity, but our whole foundation cracks and the earth opens..."

91. Fractals Most fractals are generating by taking a set of inputs and applying them as inputs to some sort of equation. The output of this equation is then fed into http://www.cs.wpi.edu/~matt/courses/cs563/talks/cbyrd/pres1.html

Fractals in Nature: An introduction to IFS and L-System Fractals by Chris Byrd This presentation gives an introduction to two different types of fractal generation: Iterated Function Systems (IFS) and L-Systems. An Introduction to Fractals What is a Fractal? The Presence of fractal geometries occurs throughout nature. A general discription of a fractal could be a geometrical object that visually has the following two properties: It is infinitely detailed and self-similar. Fractals can be seen throughout nature, in plants, in clouds, in mountains just to name a few. How are fractals generated? Most fractals are generating by taking a set of inputs and applying them as inputs to some sort of equation. The output of this equation is then fed into itself again. This feedback is repeated over and over again until the desired number of iterations passes, or until the behavior of the values is determined. Depending on what sort of fractals you are dealing with the criteria for stopping are different. Some different types of Fractals There are various systems for generating different types of fractals. One of the classic examples of a fractal is the Mandlebrot.

92. The Geometry Junkyard: Fractals Dec 14, 2000 Apollonian Gasket, a fractal circle packing formed by packing smaller circles into each triangular gap formed by three larger circles. http://www.ics.uci.edu/~eppstein/junkyard/fractal.html

Fractals Allegria fractal and mathematically inspired jewelry. Apollonian Gasket , a fractal circle packing formed by packing smaller circles into each triangular gap formed by three larger circles. From MathWorld. Area of the Mandelbrot set . One can upper bound this area by filling the area around the set by disks, or lower bound it by counting pixels; strangely, Stan Isaacs notes, these two methods do not seem to give the same answer. Balanced ternary reptiles Cantor's hourglass reptile spiral reptile stretchtiles ... trisection of India , the three Bodhi problem , and other Fractal tilings by R. W. Gosper Circle fractal based on repeated placement of two equal tangent circles within each circle of the figure. One could also get something like this by inversion, starting with three mutually tangent circles, but then the circles at each level of the recursion wouldn't all stay the same size as each other. The Curlicue Fractal , Fergus C. Murray. The Dynamic Systems and Technology Project at Boston Univ. offers several Java applets and animations of fractals and iterated function systems. Expansions geometric pattern creation techniques by John S. Stokes III.

93. Cynthia Lanius' Fractals Unit: Fractal Dimension Easy to comprehend mathematical approach to understanding the significance of the applied study of fractals and attractors. Includes didactic examples and illustrations. http://math.rice.edu/~lanius/fractals/dim.html

Cynthia Lanius Fractal Properties Fractal Dimension Table of Contents Introduction Why study fractals? What's so hot about fractals, anyway? Making fractals Sierpinski Triangle Using Java Math questions Sierpinski Meets Pascal ... Using Java Fractal Properties Self-similarity Fractional dimension Formation by iteration For Teachers Teachers' Notes Teacher-to-Teacher Comments My fractals mail Send fractals mail Fractals on the Web The Math Forum Other Math Lessons by Cynthia Lanius Awards This Site has received A point has no dimensions - no length, no width, no height. That dot is obviously way too big to really represent a point. But we'll live with it, if we all just agree what a point really is. A line has one dimension - length. It has no width and no height, but infinite length. Again, this model of a line is really not very good, but until we learn how to draw a line with width and infinite length, it'll have to do. A plane has two dimensions - length and width, no depth. It's an absolutely flat tabletop extending out both ways to infinity. Space

94. Alice Kelley's Fractal Gallery A gallery of Alice Kelley s art, featuring fractals, flames, and photographs. http://www.alicekelly.com/

My images are divided into five categories Fractals Flame fractals 3D fractals Photos Fractal textiles "Alice Kelley's fractal designs are astonishing, both emotionally and psychologically, and her yearly calendar has presented the very best of her art. Fractals are those intriguing shapes that are characterized by self-similarity and based on mathematics. These range from flashy to sublime, from energetic bursts to inward-moving mandala-like shapes. Kelley's brilliant talents are brought to life in rich, vibrant colors, unique spiral patterns, and almost psychedelic movements. Kelley's fractals are out of this world." My Calendar Subscribe to my blog to receive gallery news

95. Chaos Realm Graphics Graphic art site featuring fractals, wallpaper and backgrounds suitable for your desktop or print. http://kitara.org/

96. Fractals & The Fractal Dimension fractals, which are irregular geometric objects, require a third meaning Mandelbrot began his treatise on fractal geometry by considering the question http://www.vanderbilt.edu/AnS/psychology/cogsci/chaos/workshop/Fractals.html

Fractals and the Fractal Dimension Mandelbrot and Nature "Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line."(Mandelbrot, 1983). The Concept of Dimension So far we have used "dimension" in two senses: The three dimensions of Euclidean space (D=1,2,3) The number of variables in a dynamic system Fractals, which are irregular geometric objects, require a third meaning: The Hausdorff Dimension If we take an object residing in Euclidean dimension D and reduce its linear size by 1/r in each spatial direction, its measure (length, area, or volume) would increase to N=r D times the original. This is pictured in the next figure. We consider N=r D , take the log of both sides, and get log(N) = D log(r). If we solve for D. D = log(N)/log(r) The point: examined this way, D need not be an integer, as it is in Euclidean geometry. It could be a fraction, as it is in fractal geometry. This generalized treatment of dimension is named after the German mathematician, Felix Hausdorff. It has proved useful for describing natural objects and for evaluating trajectories of dynamic systems. The length of a coastline Mandelbrot began his treatise on fractal geometry by considering the question: "How long is the coast of Britain?" The coastline is irregular, so a measure with a straight ruler, as in the next figure, provides an estimate. The estimated length, L, equals the length of the ruler, s, multiplied by the N, the number of such rulers needed to cover the measured object. In the next figure we measure a part of the coastline twice, the ruler on the

97. Fractal Images By Sharon Webb - Home Page Galleries, 3D Art, and music. http://www.fractalus.com/sharon/home.htm

The images on this page should be viewed in hi-color or truecolor settings. Click on the purple links to enter the galleries. Sterling Fractals Fractals II Created 12/19/01 Fractals I Created 12/18/01 XenoDream Images Fractals Created 12/19/01 Animals Created 12/19/01 Sketches Created 12/19/01 Ultra Fractal Images Ultra Created 12/20/01 Slide Show Created 12/20/01 Fractalscapes Fractalscapes IV Created 12/21/01 Fractalscapes III Created 9/13/98 Fractalscapes II Created 9/13/98 Fractalscapes I Created 8/03/97 Moods and Faces Moods II Created 12/21/01 Moods Created 9/19/98 Animations Created 12/23/01 Galleries, Java Applets, Downloads Page II Order Prints Order Information Buy shirts and more at the FractalShop Visit FractalShop Sorry! "Fractal Dance" MIDI © Sharon Webb, 1998. All images © Sharon Webb, 1997-2001 For print availability, contact Sharon Webb For more information about the art or music on this site, click here For Site Awards page, click here This page was created 2/15/97. This page was updated on 1/3/03. If you have questions or comments for Sharon Webb, click

98. Perfect Resize 7 - OnOne Software Genuine fractals 6 Professional Edition Photoshop plugin is the industry standard for image resizing. It is renowned across the photographic and printing http://www.ononesoftware.com/detail.php?prodLine_id=7

99. Fractal Art, Fractals Design FRACTINT Contains fractals produced with Fractint generator. Links. http://www.mehmib.freeserve.co.uk/index.htm

Fractal Art Fractals produced with FRACTINT This site contains: pretty fractal images; links to other sites with fractal pictures; links to information on fractals and their origin. These images were produced with the shareware program FRACTINT which you can download. It has many excellent features such as zoom, colour editing and colour cycling, as well as information on the fractal types shown. Fractals Click on the fractal you want to see enlarged (500x375). (Your browser may trip over itself and not load a thumbnail, believe me it is there! Just right click over the absent thumbnail and go to show picture.) fractal_001.gif cmplxmarksjul fractal_002.gif mandel fractal_003.gif mandel fractal_004.gif fractal_005.gif fn(z)+fn(pix) - sin,sqr fractal_006.gif fn*fn - sinh,sqr fractal_007.gif sierpinski fractal_008.gif formula dragon fractal_009.gif phoenix fractal_010.gif fractal_011.gif lyapunov fractal_012.gif tetrate fractal_013.gif tim's_error fractal_014.gif mandelcoloud fractal_015.gif spider fractal_016.gif quatjul fractal_017.gif mandellambda fractal_018.gif

100. Amazing Seattle Fractals! - Fractal Art, Fractal Tutorials, Free Software And Mo If you have enjoyed my art and would be interested in a screensaver of this fractal art please visit my website Seattle fractals Digital Art where you will http://fractalarts.com/ASF/Download.html

Amazing Seattle Fractals! Home Fractal Art Galleries Fractal Tutorials Fractal Of The Week ... About Fractal Art Screensavers If you have enjoyed my art and would be interested in a screensaver of this fractal art please visit my website Seattle Fractals Digital Art where you will find 10 different screensavers featuring this digital art. You will also find various size art prints of my work as well. Thank you! This screensaver was an editors pick on ZD NET and was rated as a 5-star download! Amazing Seattle Fractals Screen Saver! My first fractal screensaver and free for you to download and keep, enjoy! For WIN95/98/NT/2000. Click on image to the left to download! Fractal Software Windows Fractal Programs Tiera-zon Stephen Ferguson for this great program! Stephen has many other fractal programs besides Tiera-zon that you may wish to try out. These programs used to be offered free, but he now charges a very reasonable $25.00 flat fee to download all of his programs (Over 30 fractal programs!). Well worth the price! Sterling2 is based on Stephen Ferguson's Sterling fractal program. Tad Boniecki took the core program and replaced the old formulas with new ones, which allows for new, interesting explorations of fractals. Best of all, the program is free!

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