121. Maths Index Articles and images on recreational math from fractals and magic squares to mathemorchids and Galois. http://www.geocities.com/aladgyma/articles/scimaths/maths.htm

Maths Index Mathemorchids The algorithms of nature. Polygrammagick The lesser-known cousins of magic squares. Reciprocal Arrangements Magic squares from the digits of prime reciprocals. Rep It Up More magic squares from reciprocals. Dying Jungian Rimbaud vs Galois, or Poetry vs Maths Platonic Hex (NEW 22/ii/2004) Magic Platonic polyhedra. Sequence and Pearls (NEW 14/iii/2004) Patterns created by modified Fibonacci sequences. The Joy of x (NEW 21/iii/2004) Patterns created by (x + y ) mod q (may load slowly). Squareway to Heaven (NEW 14/iii/2004) Magic squares dedicated to the seven heavenly bodies of traditional astrology. 3x3 Font (NEW 18/ii/2004) A minimal font. Gamma, Gamma, Gamma, Hey! The swastika and 1/273. Koch Doodles Fun with fractal snowflakes. 222 Divine Some interesting facts associated with the second repunit. 111 Chariots The 111 instances of the word "chariots" in the Old Testament of the King James Bible. Sum Beastliness Some simple mathematics associated with 666, the Number of the Beast. Delete and Repeat till Complete Deletion algorithms and multiplicative palindromes. Unless otherwise stated, all articles are by

122. Fractopia Screen Saver Roll your own fractal screen savers with this easyto-use application. Explore the colorful world of fractals and design a screen saver using personal images. http://www.software-cottage.com/fss/index.html

123. Métamorphoses Des Fractales   la Nature essai sur les objets fractals, leurs applications, ainsi qu'une nouvelle approche de la nature. http://interstellas.9online.fr

124. Maple Bilingual Information on Maple V, MapleArchives, math package, utils package, Share Library, Links, Newsgroups, FAQ, Maple V and fractals, Astronomy with Maple V, Einfuehrung in Maple V, Geschichte von Maple V. http://www.math.utsa.edu/mirrors/maple/maplev.html

Note: Click here for the Mosaic 2.1.1 or higher / HTML-2 compatible main page: mplmain.htm In case there should be incompatibilities with Mosaic 2.1.1 or higher, please inform me, the author at: alexander.f.walz@t-online.de

125. Eyebalm: Fine Art By Ann Stretton And Stan Starbuck Fine art exhibits by Ann Stretton and Stan Starbuck. Mixed media and digital Bryce, Photoshop, and fractals. http://eyebalm.com/

new! silver gemstone jewelry art ... gallery var site="sm5eyeblog"

126. Tools To Help You Plan Your Images - Mark A. Jaress Digital imaging tools to assist people using Genuine fractals Photoshop plugin in planning scaling images, and understanding resolution. http://jaress.net/gf_pd/

Tools for Digital Imaging and Other Fun Stuff I wrote these tools to assist those people who are using the Photoshop plug-in Genuine Fractals in planning scaled images from medium or smaller sized images to larger sizes. Each tool has a help file attached to it in case you need some further guidance. I sincerely hope you enjoy your experience scaling to large sizes. Some Basics I get enough questions about basic image resolution that are not related to scaling that I thought I'd build this little overview of resolution. It's very simple and right now, a work in progress. The ScalingPlanner This tool is designed to help you get the maximum quality out of your files when scaling with Genuine Fractals. The Scanner Planner The ScannerPlanner is designed to help you make decisions regarding scanning an image which will be used at a larger size. This tool will help you work with a smaller file for image manipulation, color correction, etc., which will, at the end of the editing/production process, be scaled to a larger size for output. It is designed to help you make decisions in finding the optimum source file size when you know what your final, target size will be. It is not restricted to this specific use, however.

127. MusiNum - The Music In The Numbers Free sonification program which turns numbers into generative fractal music.Fractal concepts made audible. http://reglos.de/musinum/

MusiNum - The Music in the Numbers by Lars Kindermann MusiNum is a free sonification program which turns numbers into generative fractal music. Everybody can create unique royalty free music for his homepage within few minutes. Interesting for mathematicans and other people who like to play. Fractal concepts, self-similarity and a new kind of symmetry are audible now! Theory Sounds Compose Online Download ... Contact number-theory . Perhaps the most fundamental entities in mathematics are the natural numbers: 1,2,3,4,5... They are something universal: It is a hard thing to imagine a mind which would count in a different way. But the style we write them down can vary: The decimal system based on the digits 0-9 is by no way the only or natural method to present numbers. It has just been arbitrarily chosen some time ago in history. The simplest notation is the binary notation which only uses the digits and 1. Computers always calculate in binary notation because it can be easily mapped to electrical devices: The presence of current means 1 and no current means 0. How the Numbers can make Music I wrote a program that counts. And because it is running on a computer it counts in binary notation of course. Then it adds up the digits in these binary numbers (i.e. counts the ones) and plays a note:

128. Hawk's Domain 3D Graphics, fractals, animations and space images. http://art.net/~starhawk

carries you and welcomes you to Hawk will take you to places far beyond the Stars, beyond Time and Space, idyllic places full of color, wonder and beauty that can only exist in your imagination. A sanctuary where one can reflect on all things possible and impossible. All of the Art you see on my pages is digitally created, these are not scanned in paintings or photographs. All of my work is created in the 'Moment'... that is to say, I have no preconceived idea of what I am going to create when I start out... it flows from the Mind, Heart and Soul and as the 'Moment' changes so does the Image. I use many programs, and with few exceptions these images go through numerous processes before completion. Hawk's Digital Art Studio Here you will find images that are Landscape, Abstract, Surrealistic and Fantasy Best viewed in 16 million colors. My Studio will be separated into a number of Galleries with thumbnails of each picture which need to be clicked on to view full size.. Choose the link which is mostly in tune with your own personal tastes. FractalVisions Space I Space II Beyond Space ... Associations, Memberships and other Links

129. The Economist: Fractal Art Similarly, fractal music is more likely to be characterized by slow changes Mr Wilkie wants to find out whether fractal music is ``beautiful in the http://cscs.umich.edu/~crshalizi/Economist_Articles/holding-a-new-mirror-to-natu

Holding a new mirror to Nature Like earlier discoveries in geometry, fractals could change the way artists and musicians portray the world From classroom to nightclub, by way of T-shirt and video graphics, fractal designs have made their mark on popular culture. Endlessly interesting and strikingly colorful, the images are now so popular that fractal posters and coffee mugs are a dime a dozen. The bold new geometry of the 1980s is in danger of becoming 1990s kitsch. Some artists, though, expect fractals to be more than a commercial gimmick. ``It's a new way of looking at space and form,'' says Rhonda Roland Shearer, a New York sculptress. ``For the artists, nothing is more fundamental.'' As precedent, she points to the Renaissance, when the discovery of geometrical perspective transformed the way that painters represented depth on a flat surface. The development of non-Euclidean geometry in the mid-19th century inspired wide-spread stylistic experimentation a few decades later among modernist painters who sought new ways of portraying space. As yet, fractals have not come close to delivering what Ms Shearer suggests they eventually might. In a way, that is because computers generate fractal shapes so easily. A fractal is a geometrical figure in which the same motif is repeated at several different scales; typically, such a design can be expressed as a simple mathematical formula, recalculated again and again. So, to produce even the most haunting of the images now a available, a computer needs only the smallest of human nudges. Benoit Mandelbrot, the mathematician whose eponymous ``set'' is the most famous fractal of all, wrote recently: ``The artist's taste can only affect the selection of formulas to be rendered, the cropping and the rendering. Thus fractal art seems to fall outside the usual categories of `invention', `discovery' and `creativity'.''

130. Math Art Gallery Knots, surfaces and fractals. http://www.math.ru.nl/knopen/art_gallery.html

Math art gallery Singularity knots. Singularity knot animations. Pictures generated by vort. A few 3D fractals. A g=1 surface, a g=2 surface, and a g=3 surface. An other g=2 surface , one with a different shape, one with a different color and one with three holes Click here to obtain the source files for generating these pictures. Interactive art in Minnesota. All kinds of beautiful knots.

131. Jodyzworld Virtual gallery with graphic artwork ranging from fractals to engineering drawings to digital samples. http://joed.freeshell.org

h JOdyzworlD Just when u thought it was safe to go back into cyberspace........ ArtWork Reading List Misc. Fractals It's me again w/ another website. I must be bored or something. We're still under construction so if something doesn't work..... get over it. var site="sm6ccoda" Join the Blue Ribbon Online Free Speech Campaign!

132. FRACTAL MUSIC COMPOSER Hugh McDowell has produced a new version of his FRACTAL music COMPOSER program . FRACTAL music COMPOSER will work on all Atari computers 520St,1040St, http://tamw.atari-users.net/fmc.htm

Home FAQ Music Software ... Contact Fractal Music Composer By Hugh McDowell Fractal Music Composer Version 2 By Hugh McDowell Hugh McDowell has produced a new version of his FRACTAL MUSIC COMPOSER program. In the First Incarnation (which is widely available on most Atari FTP sites) it was a set of 3 seperate programs that ran independantly of each other. In this "new" incarnation, he has combined these programs to form one composite application with many new functions and features. I am now happy to announce the FREEWARE release of Fractal Music Composer. Hugh managed to find the sourse code and give us an "unbridled" version of his program for all to enjoy. SYSTEM REQUIRMENTS FRACTAL MUSIC COMPOSER will work on all Atari computers: 520St,1040St, Ste, TT030. and since it does work on the TT, it probalbly will work on a Falcon. ST medium Res and ST HI Res. It is most impressive in St medium because of the color involved in the mandelbrot Images. However you will need to set your prefered colors in the CONTROL.ACC (supplied in the ZIP)It looks best in "reversed" display: that is Black background with White or "yellow" highlight. However the display on a Monochrome is still good.(St Hi) FRACTAL MUSIC COMPOSER(2) has three main parts: * MANDELBROT ZOOM PROGRAM is for exploring the Mandelbrot set, and, in the full version of the program, allows fractal Plots to be saved, output to a printer, and used to create music with FRACTAL MUSIC COMPOSER.

133. Fractal Animations 092303 MPEG1 (8 meg) 092303 MPEG-2 (20 meg) * with fractal music 031304MPEG-1 (20 meg) 031304 MPEG-2 (82 meg) * with fractal music http://www.fractal-recursions.com/anim.html

Fractal Animations 08-20-05 - Many animation files are back online I have more bandwidth but will be monitoring closely to make sure I don't exceed my limits again. Thanks everyone for checking out the site. Please also visit the low bandwidth Image galleries These files are encoded using MPEG-1 (for the 320x240) and MPEG-2 (for the 720x480). To view the MPEG-2 files you will need the proper codec. If your PC has a DVD player, you probably have that codec already. Otherwise, try a google search for "free mpeg2 codec". It seems browsers may have problems opening these files, so you might want to right click, then select "Save As" or "Save Target As" to save the files instead of opening them directly. Then launch them locally on your system with your viewer. Please send comments to me at Jock.Cooper At Gmail Dot Com For commercial use please contact Bruststrokes At Comcast Dot Net MPEG-1 (12 meg) * with fractal music MPEG-1 (12 meg) * with fractal music MPEG-1 (12 meg) * with fractal music MPEG-1 (6 meg) MPEG-1 (6 meg) * with fractal music NDT MPEG-1 (17 meg) * with fractal music MPEG-1 (8 meg) MPEG-2 (20 meg) * with fractal music MPEG-2 (120 meg) MPEG-1 (20 meg) MPEG-2 (82 meg) * with fractal music Semdt Jupiter Oscar HOME

134. Desktop Wallpapers And Backgrounds - Animated And Still Free desktop images and seamless textures of fractals. http://www.shineout.com/

ANIMATED TEXTURES SEAMLESS TEXTURES DESKTOP WALLPAPER LINK TO US ... ANIMATED-SYMMETRY Welcome to Shineout Graphics. Some of our desktop wallpapers / backgrounds are computer generated graphics while others are digitat photos. More desktop wallpapers / backgrounds will be added to this site all the time. The growing section of free desktop wallpaper offers amazing computer generated graphics, photos of flowers and plans and photos from Alberta (Canada). Shineout is one of few sites that offer animated textures . They make amazing animated wallpapers and backgrounds. The animated textures are in animated GIF format so they can be used as animated backgrounds for windows active desktop. I have chosen animated GIF format because it is small in size and easy to manipulate. Our free seamless textures make great still backgrounds. All the seamless textures are in JPG format. They can also be used as fills for text or any 2D or 3D graphics. The digiatal photos were taken using Nikon Coolpix 3100.

135. Free Screensavers By Appleblossom Art 3D screensavers and desktop themes that never expire made of abstract art and fractals. http://www.appleblossomart.com/

Languages Free Screensavers and Desktop Themes by Appleblossom Art. All downloads are full versions, never expire and no registration. Screensavers can be muted, have adjustable graphics speed and Windows XP compatible. Click to see why my Screensavers are free. * Computer friendly downloads that are 100% free of Spyware and Advertisement Programs! * Want to see Angels wrapped in fur? Most Downloaded Last Week download Lost In A Fractal download Matching Desktop Theme One of the best free 3D screensavers on the net. Accompanied by very soothing instrumental music. Watch this one before falling asleep. (Last Updated September 18, 2005) download matching theme Fractal Wonderland Lovely images transform and reveal themselves into each other. Two songs were used to cover the length of this free screensaver. Which category near the bottom of this page do you like best? Winter Spring Summer Autumn Disney Beach View Results download Fractal In Bloom download Matching Desktop Theme One of the most beautiful free screensavers on the net. Vivid 3D cubes tumble on your

136. Tanzanite TechNature A collection of rendering, mathematics, and texturing functions that use fractals to grow everything from plants to planets with seamless procedural textures. (shareware, with source code) Requires DirectX 6.0+ http://www.tanzanite.to/

Company Info TechNature Engine TechNature Physics Dreamlands Company Info TechNature Engine TechNature Physics Dreamlands ... CodeView

137. Softology - Visions Of Chaos Home page of a versatile Windows software by Jason Rampe. The program covers Cellular Automata, Chaos, and fractals. http://www.softology.com.au/voc.htm

Main Gallery Software Links ... Contact Visions Of Chaos Overview See the gallery page for some examples of Visions Of Chaos output. Comments From Visions Of Chaos Users "a quite sophisticated and richly-featured fractal program" "uniquely versatile Windows software" "the world of fractals and other wonderful toys made by 0's and 1's" "This is a beautifully done, complex, and detailed chaos program for Windows. I highly recommend it if you are interested in all things chaotic." "Truly it is a thing of beauty and a joy forever" "The most versitile windows 3dca i have found yet" "a total mind f*ck" "I've looked at other CA/Fractal software but I think this one is in a league of its own" "a geek's dream come true" "It's got everything a nerd could possibly want!" "What a brilliant bit of software" "I really think you have a nice program here and compared to Ultra Fractal, Chaos Pro and Fractint it is a simple pleasure" "a great research and learning tool necessary for getting up to speed in the visual math of fractals"

138. 3D Fractals Resource on the bicomplex generalization of the Mandelbrot set. Includes scientific publications, illustrations, news and downloads. http://www.3dfractals.com/

139. Java Applets Several java applets for use in exploring the topics of chaos and fractals. http://math.bu.edu/DYSYS/applets/index.html

JAVA Applets As part of the Dynamical Systems and Technology Project, we have developed several JAVA Applets for use in exploring the topics of chaos and fractals. These applets are designed to accompany the four booklets in the series A Toolkit of Dynamics Activities , published by Key Curriculum Press Applets associated with the book Fractals include: The chaos game . Yes, this is a game. Try to beat the computer by hitting specific targets via the moves of an iterated function system. This game allows students to understand the construction of the Sierpinski triangle via the chaos game. Fractalina. This applet allows you to set up the vertices, compression ratios, and rotations associated to an iterated function system and then compute and view the resulting fractal. If you have black and white monitors, be sure that you choose the appropriate colors for the points from the Color Selection button inside the applet so that you will be able to see the picture! Fractanimate. This applet allows you to string together a collection of fractal images generated by Fractalina into a movie. We encourage you to become quite familiar with Fractalina before trying to use this applet.

140. Beautiful And Awe-inspiring Fractal Artwork. bitmaps to save as your background and trip out your friends and coworkers.There is also a buch of this weird fractal music that you may or may not like. http://metalinks.metaculture.net/science/fractal/art.asp

Fractal Art "Every new body of discovery is mathematical in form, because there is no other guidance we can have." -Charles Darwin metalinks Home Up One Level Home Site Guide ... Great Groups Visit ScanStore.com Paperless Office Systems from Meta Enterprises Fractal art galleries abound on the Internet, giving you an endless source of beautiful bitmaps to save as your background and trip out your friends and coworkers. There is also a buch of this weird fractal music that you may or may not like. Books on Fractal Art (7) Related Categories Chaos Research (40 Links) Research on fractal geometry, chaos and complexity theory. Applied Chaos (10 Links) Information regarding the applications of fractal geometry and chaos theory to various fields of study, such as math, psychology, physics, religion an Interactive Fractal Demos (20 Links) Interactive demonstrations of the principles of chaos theory and fractal geometry, as well as online fractal generators and other multimedia material. Learning Fractal Geometry (20 Links) Chaos and fractal geometry tutorials and/or resources for teaching chaos. They have been organized according to age group, but this is interchangable

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