181. Collectin Cat Has Cats Screensavers, Free Screensavers,Free Cat Screensavers, Ga Cat pictures, stories, gardens with cats, collectibles with cat themes. Greeting cards, fractals, other critters, original scenic wallpaper, graphics with cat themes. http://www.collectincat.com/index.html

After Jehovah and my family, (husband of 42 years, 4 children, 8 grandchildren, 2 great-grandchildren)... I have things that I love. We all do it - zero in on a particular specialty, whether it's alive or inanimate. We collect it, we study it, we watch it, we make it, we plant and weed it. And most important, WE LOVE DOING IT. My newest endeavor is to make SCREENSAVERS That includes lots of free screensavers, lots of CAT screensavers, and nature plays a big part in many scenic screensavers. I have decided it is worth while to be aware of the folks interested in the screensavers, so I am asking that you register and have a FREE account to view the screensavers. You will have access to all the free ones, and a full description of the ones for purchase. The ones for purchase all include a FREE SAMPLE so that you may try before you buy! IT'S FREE, AND YOU CAN UNSUBSCRIBE ANYTIME. WHY WOULD YOU WANT A SCREENSAVER FROM COLLECTIN CAT? YOU LOVE CATS You know a great gift for cat lovers when you see it. YOU LOVE THE OCEAN AND LIGHTHOUSES You need motivation with some beauty to make it to the weekend.

182. Ecometry Introduction to chaos, attractors and dynamic systems theory. Includes mathematical formulation, images and references. http://www.ecometry.biz/

183. Matti's Homepage Programs including a denoiser, MIDI generation from fractals, sound creation from gifs. http://www.sci.fi/~mjkoskin/

This page contains some audio programs I've writte a couple of tclets for Shortwave enthusiastics (like me). Now they are in new page, namely here Some audio stuff Rain is a tcl/tk-script, that converts gif-image to sound using granular synthesis. Here is tarred and gzipped version for *nix. This is zip-version for Win95 These files include two fractal gifs, which give quite a pleasent sounds. Tk-score is a tcl/tk-script, that creates score and orc from bits and pieces. Untar or unzip and read the README. 21.11.19998 I've corrected some bugs and Linux-version now runs csound and plays in the background, so it's possible to make changes to score while listening. Tk-score isn't actually a composing tool. You have to create your compositions by other means, but with Tk-score, you can create the final one graphically. Linux version of tkscore-0.91.tar.gz Win95 version of tkscore.zip anoi is a wavelet-based denoising program for Linux. This is pre-alpha, but gives some results. anoi-0.2 is out! It gives much better results than 0.1 and can handle sterofiles too. new anoi(10k) 13-Jul-2000 anoi-0.3 is out! You should be able to do now something. System is changed to filtering the signal but wavelets are not forgot.

184. Fractals And Scale Discussion about the original mathematical concepts and the applications of scales and dimensions. Includes formalisms, examples and illustrations. http://parallel.hpc.unsw.edu.au/complex/tutorials/tutorial3.html

Revised 1995. This preprint may be copied and used provided that this notice and the authorship details remain attached. FRACTALS AND SCALE David G. Green Environmental and Information Sciences Charles Sturt University Introduction How long is the coast-line of Great Britain? At first sight this question may seem trivial. Given a map one can sit down with a ruler and soon come up with a value for the length. The problem is that repeating the operation with a larger scale map yields a greater estimate of the length (Fig. 1). If we actually went to the coast and measured them directly, then still greater estimates would result. It turns out that as the scale of measurement decreases the estimated length increases without limit. Thus, if the scale of the (hypothetical) measurements were to be infinitely small, then the estimated length would become infinitely large! Lewis Fry Richardson (quoted in Mandelbrot, 1983) noted this dependence of measured length to the measuring scale used. In discussing measurement, scale can be characterized in terms of a measuring stick of a particular length: the finer the scale, the shorter the stick. Thus at any particular scale, we can think of a curve as being represented by a sequence of sticks (Fig. 1), all of the appropriate length, joined end-to-end. Clearly, any feature shorter than the stick will vanish from a map constructed in this way. Of course, no one actually makes maps by laying sticks on the ground, but the stick analogy reflects the sorts of distortions that are inevitably produced by the limited resolution of aerial photographs, by the length of survey transects, or by the thickness of the pens used in drafting. There is an analogy here, too, with the accuracy or frequency with which any sort of biological measurements are made.

185. Música Fractal: El Sonido Del Caos Wikipediafractal ChaosPro Organised chaos the music of chaos theory http://www.dlsi.ua.es/~japerez/fractal/

inicio publicaciones fractales Fractales Consejos para desentrañar una complejidad aparente Se pueden encontrar aquí dos trabajos divulgativos en torno al apasionante mundo de los fractales. Por un lado, una introducción a la composición de música fractal; por otro lado, una descripción detallada sobre cómo usar ciertas ideas relacionadas con los fractales para realizar la compresión con pérdidas de imágenes. Esta página se actualizó en julio de 2005 coincidiendo con un importante acontecimiento para la comunidad fractal: el anuncio del regreso de Phil Thomson (el autor de Gingerbread, uno de los programas más fascinantes de composición de música fractal). Menú Inicio Publicaciones Fractales Música fractal: el sonido del caos El trabajo Música fractal: el sonido del caos pdf postscript ) presenta una introducción a la geometría fractal, los sistemas dinámicos caóticos y su aplicación a la composición musical. En ese trabajo se analizan cuatro programas de generación de música fractal: Gingerbread, LMuse, Musinum y The Well Tempered Fractal. A continuación se pueden encontrar algunos ejemplos de composiciones creadas con ellos. Gingerbread 2.0.0

186. A Slice Of Andy's Life Programming projects (fractals, genetic algorithms). Photo album, personal Profile. http://www.andymeneely.com/

A Slice of Andy's Life Home Photo Album Weiss Programming Personal Profile ... Contact Me Welcome to a generous slice of my life. Here you will find lots of info on who I am and what I do. News Galapagos After many years of ideas bouncing past every neuron in my brain several times, my Senior Project in Computer Science is coming to fruition. The page devoted to that is posted, but please note that this thing will be updated more than every week. When the code gets on its feet, make sure you give it a try! September 19, 2005 My Faith I took a good chunk of time to rewrite the page on this website which is most important to me - the section on my faith . As usual, feel free to read it, comment on it to me, or what have you. June 25, 2005 A Personality's Smell, and Ultimate Well, insomnia has done its work yet again, resulting in " A Personality's Smell ", the latest entry in my rant section . Also, I have a new entry for my 20th Ultimate tournament in my profile June 5, 2005

187. Quantum Jumps, EEQT And The Five Platonic Fractals Explains how quantum jumps generate new family of fractals on spherical canvas. Includes graphics in several formats, mathematical framework and bibliography. http://quantumfuture.net/quantum_future/papers/qfract/

Next: 1. Introduction Quantum Jumps, EEQT and the Five Platonic Fractals A. Jadczyk and R. Oberg Abstract: It is shown that symmetric configurations of fuzzy spin direction detectors generate, through quantum jumps, IFS fractals on the sphere OpenSource Java project accompanies the paper. 1. Introduction 2. EEQT - Quantum Fractals 1. Geometry 2. The algorithm ... Contact Us Site maintained by www@cassiopaea.org ark@cassiopaea.org

188. Fractal:Edge Products for navigating large information sources quickly and accurately using a visualisation technique based on fractals. Features overviews, news, downloads and extranet. http://www.fractaledge.com

Site loading... Sign-In Contact Us Fractal Site Map HOME ... More news Understand large, complex or streaming data like never before... visually Fractal Edge solutions let you interact with data more effectively and efficiently than ever before. Our unique data visualization engine leverages the human capacity to spot patterns, trends and outliers. So whether you're monitoring performance, analyzing risk, managing complex processes, or digesting large reports Fractal Edge technology can help you achieve your goals more efficiently and effectively. Learn more about how our blue-chip customers are driving greater value from their data. See how Fractal Edge's visual solutions help you work more effectively Explore a range of online Fractal Map examples Download a free trial of Fractal:Intelligence our advanced desktop client Fractal Edge Limited

189. The Modular Group And Fractals Explains the basics of fractals, Riemann Zeta, modular group gamma, Farey fractions and Minkowski question mark. Includes publications. http://www.linas.org/math/sl2z.html

The Modular Group and Fractals An exposition of the relationship between Fractals, the Riemann Zeta, the Modular Group Gamma, the Farey Fractions and the Minkowski Question Mark. Linas' Mathematical Art Gallery Chapter 1: Distributions of Rationals on the Unit Interval (or, How to (mis)-Count Rationals) PDF DVI )(19 pages) is a high-giggle-factor review of some so-called "facts" about fractions that you learned as a child, and which every math teacher ever since has repeated, but which are simply not true. I used to think Number Theory was boring until I saw this. Reducing a fraction to a relatively prime numerator and denominator isn't as boring as I used to think. Chapter 2: Continued Fractions and Gaps DVI PDF )(34 pages) provides a very curious function that is discontinuous on the rationals and whose discontinuities seem to be perfectly randomly distributed. I find this to be a rather dramatic result, possibly because I've never heard of such a thing before. I've stared at a lot of fractals and space-filling curves, but nothing like this. Chapter 3: The Minkowski Question Mark and the Modular Group SL(2,Z)

190. CBofN - Glossary Concise definitions, cross referenced, for the areas of computation that examine complex systems, fractals, chaos and adaptation. http://mitpress.mit.edu/books/FLAOH/cbnhtml/glossary.html

Computer Explorations of Fractals, Chaos, Complex Systems, and Adaptation About the Book title page home cover artwork jacket text ... ordering information Book Contents three themes part synopses selected excerpts all figures from book ... slide show Source Code documentation FAQ list download source code java applets Miscellany news errata for educators bibliography (BibTeX format) ... other links Glossary A B C D ... Z A Activation The time-varying value that is the output of a neuron Activation Function A function that translates a neuron 's net input to an activation value. Adaptive Subject to adaptation ; can change over time to improve fitness or accuracy. Adaptation An internal change in a system that mirrors an external event in the system's environment Affine An equation that can be written in terms of matrix vector multiplication and vector addition. Agent See Autonomous Agent AI An abbreviation for Artificial Intelligence Algorithm A detailed and unambiguous sequence of instructions that describes how a computation is to proceed and can be implemented as a program Algorithmic Complexity The size of the smallest program that can produce a particular sequence of numbers. Regular patterns have low algorithmic complexity and

191. Efg's Computer Lab A large number of Delphi projects involving Image Processing, Color, Graphics, Mathematics, fractals and Chaos. http://www.efg2.com/Lab/

efg's Research Notes Summary of Changes Projects and Lab Reports Image Processing Scanline Tech Note Manipulating Pixels with Delphi's ScanLine Property ... USAF 1951 and Microcopy Resolution Test Charts and Pixel Profiles Image Feathering Image Encryption: BMP s and JPEG s Rotate bitmap with Scanline Flip and/or reverse bitmap Rotate bitmap 90 degrees Tween: fade from one image to another ... Projects Color Color Mask View selected bits in 24-bit color image CIE Chromaticity Diagrams (1931, 1960, or 1976 diagram using either 2- or 10-degree standard observer) Maxwell Triangle Color Mix Show RGB, HSV, HLS, CMYK Count Colors ... Bitmaps with Different Palettes Color Charts Color Range Segmentation of an Image RGBColors Hue-Saturation-Value YUV : YV-12 / YVU-9, UYVY, Y8, 411 Palette Lab Complete List of Color Projects Graphics Smoothing Algorithm Using Bézier curves (by Jean-Yves Quéinec) Brush Bitmaps Cursor Overlay Very Large Bitmap Experiment Polygon Area and Centroid ... z = f(x,y)

192. What Are Fractals? Explains the basics, adressing definitions, dimensions and uses. Includes gallery and resources. http://www.jracademy.com/~jtucek/math/fractals.html

What are fractals? Dimensions Uses Pictures Resources What are fractals? Fractals have come up as an important question two times before the invention of computers. The first time was when British map makers discovered the problem with measuring the length of Britain's coast. On a zoomed out map, the coastline was measured to be 5,000 something or other. Sorry, I've forgotten the units. But anyway, by measuring the coast on more zoomed in maps, it got to be longer, like 8,000. And by looking at really detailed maps, the coastline was over double the original. You see, the coastline of Britain that's on a map of the world doesn't have all the bay's and harbors. A map of just Britain has more of these, but not all the little coves and sounds. The closer they looked, the more detailed and longer the coastline got. Little did they know that this is a property of fractals. (A finite area, aka Britain, being bounded by an infinite line) The second instance of pre-computer fractals was noted by the French mathematician Gaston Julia. He wondered what a complex polynomial function would look like, such as the ones named after him (in the form of z^2 + c, where c is a complex constant with real and imaginary numbers). The idea behind the formula is that you take the x and y coordinates of a point, and plug them into z in the form of x + y*i, where i is the square root of negative one, square this number, and then add c, a constant. Then plug the resulting pair of real and imaginary numbers back into z, run the equation again, and keep doing that until the result is greater than some number. The number of times you have to run the equations to get out of its "orbit" can be assigned a color and then the pixel (x,y) gets turned that color, unless those coordinates can't get out of their orbit, in which case they're made black.

193. Ji-hoon's Homepage Computational physics. Nonlinear oscillator simulations, wavepacket simulations and pedestrian simulations java applets. , Java Applet, Making Homepage, Netscape Composer, Chaos and fractals, Java Script http://home.bawi.org/~morn/

194. IFS Attractors Index and definition of different attractors. Includes images, plots and glossary. http://www.meden.demon.co.uk/Fractals/fractals.html

IFS Attractors Recent changes th October 2002: added page for a 4-element tile associated with the 8rd unit cubic Pisot number with complex conjugates. th October 2002: added gallery of 3-element tiles associated with the 4th unit cubic Pisot number with complex conjugates. th May 2005: corrected sign error on page for 8rd unit cubic Pisot number with complex conjugates, and added 4 tiles with similar constructions Index, Glossary, etc Definition of Polymer, P-System, Metapolymer and Pseudopolymer, etc Glossary Index of Named Rep-tiles Update History (from April 2001) What is an IFS Algorithms Cartesian Linear (Affine) IFSs Piecewise Linear IFSs Other Functions 1st and higher order IFSs Design of the XIFS Program Notation Post-processing Scaling Rendering schemes Techniques for designing IFSs affine technique iso-fractal technique composition techniques I (composition of IFSs) composition techniques II , including metafigure technique trans technique (in preparation) grouped element technique element removal (voiding) and addition (infill) techniques additive 1st order technique subtractive 1st order technique Rep-Tiles : A rep-tile is a plane figure which tiles the plane and can be divided into several smaller copies of itself. From this definition it can be seen that the simply connected attractor of any IFS with a uniform measure and a similarity dimension of 2 is a rep-tile, and all rep-tiles are attractors of IFSs. There an infinite number of rep-tiles, some of which are shown on this page.

195. CSE Fractals Explorer III Addresses the chaotic behavior of different attractors and their mathematical expressions. Includes plots, images and program source codes. http://ltcmail.ethz.ch/cavin/fractals.html

Chaos and Fractals A short trip in fractional dimensions Strange Attractors Fractional Dimensions String Systems Nature ... CSE Strange Attractors Chaos is an interesting behavior of systems that lies between the simplicity of stability or periodicity and the highest disorder of randomness . Such systems are unpredictable, but a hidden order is discernable. Examples of chaotic behaviors are frequently observed in iterated equation systems . Even in systems as simple as the logistic equation , a model that has been used since decades to simulate fluctuations of biological populations. The logistic equation stipulates that the relative population (1 represents the maximum possible population) at year t is dependant on the population in the previous year t-1 according to the expression: P( t ) = constant * P( t-1 )*(P( t-1 Logistic Equation In the figure above, the population reached after 30 years and during the 50 following years ( t = 30 to 80) is plotted versus the constant used in the equation. Up to a constant’s value of 3, no surprise, an equilibrium population is reached (the population remain stable, one single 'dot' on the plot). For higher constants, oscillating behaviors begins, with a phenomenon known as

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