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         Fractals & Music:     more detail
  1. Fractals in Music: Introductory Mathematics for Musical Analysis Second Edition (Inmusic) (Inmusic) (Inmusic) by Charles Madden, 2007-04-23
  2. Music and Mathematics: From Pythagoras to Fractals
  3. Fractal Music, Hypercards and More Mathematical Recreations from "Scientific American" by Martin Gardner, 1991-11-30
  4. Music And Mathematics: From Pythagoras To Fractals by Raymond Flood, Robin Wilson, Robin J. Wilson John Fauvel, 2003
  5. Formalised composition on the spectral and fractal trails (Skrifter fran Musikvetenskapliga institutionen, Goteborgs Universitet) by Magnus Eldenius, 1998

141. Tizzy's Wallpaper
Free fractals, patterns, and designs wallpaper in 800x600, 1024 x768 sizes and tiles.
http://itch3.tripod.com/
var TlxPgNm='index'; setAdGroup('67.18.104.18'); var cm_role = "live" var cm_host = "tripod.lycos.com" var cm_taxid = "/memberembedded" Search: Lycos Tripod 40 Yr Old Virgin Share This Page Report Abuse Edit your Site ... Next tizzy's wall paper for desktop glorification
800 x 600
/page One
8o0 X 600
/Page Two

Tiles
/page one Tiles /Page two
1024 X 768

These wallpaper graphics are free for personal use. For all other uses I ask that you remember the "Golden Rule".
Information

Contact Information:

142. Virtual Wonder Land
Antoni's 3D fantastic scenes and landscapes, and fractals.
http://www.xs4all.nl/~wabing/

143. Tessellations.com Front Door Page
A company selling foam puzzles, many based on planar tessellations (tilings) and fractals.
http://www.tessellations.com/
Welcome to Tessellations
If this message does not disappear in a few seconds,
click here to enter

144. Fractal Music
KJ Hsu and A. Hsu, Fractal Geometry of music, _Proceedings of the National Academyof Science 142.90.112.1 A fractal music C++ package is available at
http://www.faqs.org/faqs/fractal-faq/section-14.html
Single Page
Top Document: Fractal Frequently Asked Questions and Answers
Previous Document: L-Systems
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Fractal music
ftp://spanky.triumf.ca in [pub.fractals.programs.ibmpc] WTF23.ZIP. [142.90.112.1] A fractal music C++ package is available at http://neural.hampshire.edu:10001/~gzenie/inSanity.html . Also, it may b helpful to access: http://www-ks.rus.uni-stuttgart.de/people/schulz/fmusic The Fractal Music Project (Claus-Dieter Schulz) http://www.ccsr.uiuc.edu/People/gmk/Projects/ChuaSoundMusic/ChuaSoundMusic.html Chua's Oscillator: Applications of Chaos to Sound and Music
Top Document: Fractal Frequently Asked Questions and Answers
Previous Document: L-Systems
Next Document: Fractal mountains
Single Page Usenet FAQs Search Web FAQs Documents ... RFC Index
Send corrections/additions to the FAQ Maintainer:
stepp@marshall.edu
Last Update June 15 2004 @ 00:25 AM

145. Fractal Art Screen Savers
Original fractal art screen savers and custom made. Windows 95/98/ME/NT/2000
http://fractalarts.com/SFDA/screensavers.html
Seattle Fractals Digital Art
Experience the "Art Of Infinity"
Site Menu

Home What Are Fractals? Screensavers Art Prints Purchase Screensavers Special Offers Support Testimonials Contact Links Free Screen Saver Downloads Thank you for your interest in Seattle Fractals Digital Art screensavers. If you have already evaluated one of the screensavers and are ready to purchase one, please select "Purchase Screensavers" from the link menu or click this link: Buy Now These screensavers are available as a free download and are fully functional for a 10 day trial evaluation. You get to try before you buy with no obligation! These screensavers are for use on Windows 95/98/ME/NT/2000/XP computers. They have over 20 transition effects, Microsoft Plus! features, Screensaver Control tray utility, Desktop Quickstart, full install/uninstall feature and more. Ver. 2.0 releases
I have released updated versions of my first five screensavers. These have additional content, and many new features. If you have previously purchased these screensavers the upgrade is free! Simply uninstall the previous version, download and install the updated version and re-enter your registration information. Limited Edition Collectors CD Fractalarts 2003 CD I am offering a limited edition (350 copies) screensaver CD compilation that is a collection of favorites from previous screensavers as well as new work previously unpublished. This version has many new features unavailable in my downloadable screensavers. Your CD will be numbered and signed by the artist. Click

146. Fractal Music
Fractal music ambience musical composition entitled Goss Fractal music iscreated by just such repetitions and resulting complexity.
http://www.pulseplanet.com/archive/Aug01/2479.html
Program #2479
August 2001
Fractal Music
ambience:
musical composition entitled Goss
All music is said to have some basis in numbers and now a relatively new branch of mathematics has given rise to its own incarnation of music. I'm Jim Metzner, and this is the Pulse of the Planet, presented by DuPont. We're listening to the conversion of mathematical equations into what's called fractal music. Gary Lee Nelson, a professor at the Conservatory of Music in Oberlin, Ohio, explains to us what fractals are all about. "Fractals, in general involve, mathematics. Almost all fractals can finally be represented as a series of numbers. And if you were to use those numbers to produce graphic images, you would get digital paintings. If you interpret the numbers as musical elements - melody, harmony, rhythm - then the result would be called fractal music, or music derived from fractal mathematics There's a real life analogy to fractals that I think most people have experienced, or at least observed. Imagine you are sitting in a barber shop and you are looking at your image in the mirror. Of course, you see yourself, but you also see your reflection from the mirror on the opposite wall. And those reflections are moving back and forth, out to infinity. So this is a simple process, and a simple input - your image is the input - the process of the reflecting mirrors, and the complex result, is this pattern of images that goes off, shrinking in size, until they kind of disappear from sight."

147. Pages By Just Me! - Showcase Of Java Lake Applets
Larry Malvin's photography turned into Java applets. Also includes Janet Preslar's fractals. Java
http://www.pagesbyjustme.com/
//Dynamic-FX slide in menu v6.5 (By maXimus, maximus@nsimail.com) //Site: http://maximus.ravecore.com/ //For full source, and 100's more DHTML scripts, visit http://www.dynamicdrive.com Free JavaScripts provide
If you have come here looking for some beautiful Lake Applets Snow Applets PoolMenu Applets FREE Backgrounds and Textures ... Poems or some excellent Resources , hit your cyber brakes! If you'd like to create your own Applets, (Lake, PoolMenu, Snow or Rain), you can learn how to make your own Lake Applets with a tutorial here or download the files from the " Downloads " page. ( Click here Don't forget to bookmark this page! Want to see even more beautiful Applets? Click here to go to the Web Rings page and experience the most beautiful Java Lake Applets on the Internet. Want someone to build your web site for you? I would be happy to help. Please click here "

148. The Door Is Open
Bryce and other 3D art, fractals, and animated GIFs.
http://www.afterzed.gr/innerzed/
bryce 3d 3d world Graphics animated gifs ... video PAINTING and GRAPHICS
by
Vicky Horiati artist go home always art áíôáëëáãç banners links ... Flash version
Site created 7 July 1999 - Updated 27 December 2000 http://www.afterzed.gr/innerzed/

149. Fractals
Quotes and information on different types of sets and attractors. Includes image gallery, plots, mathematical formulation and articles.
http://astronomy.swin.edu.au/~pbourke/fractals/
F r a c t a l s , C h a o s
Index Papers Geometry Curves Surfaces Fractals, Chaos Projection Stereographics Raytracing OpenGL Modelling Colour Textures Data Formats Fun, puzzles Other Old stuff
POVRay Fractal Raytracing Contest
Rendering Wada-type basins of attraction
Here's a party trick for over Christmas. Get 4 large shiny Christmas balls, some coloured wrapping paper, some lights from the Christmas tree, and you have you own fractal laboratory to amuse yourself with over the festive season. Fractal Dimension Calculator - FDC
Box counting software for the Macintosh and Linux. Ruler or Compass Dimension Multifractal spectrum Lacunarity Recurrence plots ... Natural Fractals in Grand Canyon National Park
A PowerPoint presentation by Gayla Chandler Self similarity
Examples of self similarity in fractals with examples from mathematics and photos of the physical world. I wonder whether fractal images are not touching the very structure of our brains. Is there a clue in the infinitely regressing character of such images that illuminates our perception of art? Could it be that a fractal image is of such extraordinary richness, that it is bound to resonate with our neuronal circuits and stimulate the pleasure I infer we all feel?
P. W. Atkins

150. Ian Anderson Design - Free Screensavers And Wallpaper
Imaginative and innovative desktop wallpaper in categories of 3D art, landscapes, fractals, creatures, military, available in five popular sizes.
http://www.ianadesign.com/
Home Members Login Join Top List ... Contact Me
2004 Calendar's are HERE!!!
Tip: How to set pictures as desktop wallpaper!
G A L L E R Y S WHATS NEW 3D ART FRACTALS CREATURES ... LANDSCAPES F E A T U R E D L I N K S Your Affordable Website West Coast Design desktopwallpapers.net T.C.Design ... 3d Desktop UK O T H E R S T U F F Contact Me Sign Guestbook Top List Cool Links ...
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151. Gary Lee Nelson Works
number of composers have shown interest in the musical application of fractals. Fractal Mountains represents my own first attempt to integrate fractal
http://www.timara.oberlin.edu/~gnelson/mp3s/ProgramNotes/FractalMountains.html
Fractal Mountains (1988-89)
With his discovery of fractals, Benoit Mandelbrot introduced a new class of mathematical models and a new branch of mathematical science. He may have stimulated a new branch of music as well. A growing number of composers have shown interest in the musical application of fractals. "Fractal Mountains" represents my own first attempt to integrate fractal techniques into interactive performance and composition. A significant feature of fractals is their self-similarity. Consider the coastline of an island. On a map we see seemingly random curves that have been shaped by the elements of nature. If we look closer we see that, with magnification, smaller curves are similar in shape to the larger curves. Continuing the process of magnification to ever smaller snapshots reveals a unity that obtains to the very grains of sand on the island's beaches. The ramifications of such a process for the organization of musical form and structure seem almost overpowering. Most of the practical literature on fractals is in the field of computer graphics with focus on the generation of realistic images for still pictures and animation. One of the simplest fractal models is the two dimensional outline of mountain ranges. Initially, we draw lines to represent the major peaks and valleys. These lines are subdivided by a recursive process to produce the next level of detail. When we continue subdivision through generations of ever shortening lines, an image emerges that reminds us of the patterns found in natural landscapes. Figure 1 illustrates the several layers of subdivision used in "Fractal Mountains" to arrive at pleasing melodic contours.

152. Aliceia
Collection of digital paintings and abstractions, and fractals. Also includes colored pencil drawings.
http://www.aliceia.de/
Welcome! Nice to meet you and I hope you enjoy your visit! Please enter the gallery AOL users, please click here Visual Arts, Digital Art, Cyberart, Computer Art, Computer Graphic,
Fine Arts, Computer Generated Graphics , Abstracts and Fractals, Surreal and Fantasy Works.
Aliceia
http://www.aliceia.de

153. Gallery Of Symmetric Chaos Page
Includes Symmetric icons and fractals; Quilts and planar repeating patterns; Colored wallpaper patterns.
http://nothung.math.uh.edu/~mike/ag/art.html
Images of Chaos and Symmetry This collection of images is divided into the following groups: The repeating patterns directory contains the directories Hexagonal Quilts and Square Quilts . In turn, both the Hexagonal and Square quilts directories contain subdirectories of two color hexagonal quilts and two color square quilts . These subdirectories contain `two-color' designs. A few of the images are `cycling GIF files' (for example, in the Icons directory Nite Vision appears as a a cycling GIF file). The cycling gifs are usually identified with the phrase `Image with detail'. Almost all of the designs are fairly new. Versions of one or two of the designs have appeared previously in the book Symmetry in Chaos by Michael Field and Martin Golubitsky (OUP, 1992) - I have indicated those specifically. Several of the images shown on these pages have appeared in exhibitions (Including: The Frontier between art and Science , International Exhibition [Valladolid, March 1-15, Salamanca, April 6-23, Leon, April 26-May 14, Granada (June/July), Buenos Aires, Belgrade, Vienna, late 2000];

154. Fractal Morphing ScreenSaver, EscapeClose Pro, Hidden Swap Buttons, Crazy Ball -
Fractal Morphing Screen Saver is a screen saver for Windows. Displaying morphing of fractals and has many adjustments.
http://www.sanapesoft.com/
SaNaPe Products Games Download Buy now Contacts ... Search SaNaPe Software
Russian
EscapeClose Pro Hidden Swap Buttons
Fractal Morphing ScreenSaver
... Crazy Ball Software
Russian
news:
EscapeClose Pro

v.1.9

is released!

added the new Mode 7 (*, +, -) Now you can use a mask to select files in standard Windows Explorer by pressing the keys *, + and - on the numeric keypad! (like old Norton Commander or Total Commander or FAR)
added the separate exceptions for different modes.
EscapeClose Pro

v.1.8
is released! added the 'Quick Tour' added the hot-key for 'Restore all' (by default Ctrl+Shift+A); added the item 'change a hot-key for 'Restore all'...' added the item ' Settings / The notice by change of the Cursor EscapeClose Pro v.1.7 is released! added the new Mode 6 (maximize) . When the button is pressed, the any active window is immediately maximized or minimized (like MS Internet Explorer); added the item 'Restore all' Fractal Morphing ScreenSaver v.1.9 is released! Crazy Ball v.1.4 is released! Our game Hidden Swap Buttons v.1.0

155. Lifesmith Classic Fractals Home
Over 1,500 fractal data and imagery.
http://www.lifesmith.com/
The oldest fractal mathematical art studio in the United States...
I have produced many thousand original fractal designs...
I estimate that seven terabytes of fractal data reside
in the archives. You are invited to see and enjoy
all of the images I have discovered. Please choose why you came. To See the
Art
To Learn Some
Math
To Do Some
Business

To get in touch... Email Address: fractalier@aol.com
fractali@lifesmith.com
Lifesmith Classic Fractals
36949 42nd Street East Palmdale, CA 93552 661-285-4313 (HQ) 661-285-4314 (fax) visitors since 1997 Jeff Berkeley, M.S. Thank you very much for coming! Please be my guest! First deployed in mid-1997 Reworked summer 2005 Last update 8/12/05

156. Fractals Unleashed - Team 26242
Tutorial covering the different types of sets and attractors. Includes mathematical formulations, applets, programs, gallery and an art contest. English, Russian, Ukrainian
http://library.thinkquest.org/26242/

ENGLISH
RUSSIAN UKRAINIAN TEXT ONLY ... KIDS ZONE ©1999 Fractals Unleashed Created by Team 26242 for ThinkQuest

157. Archive Of Desktop Wallpaper
Free desktop wallpaper of animals, death, fractals, scenery, seasons, space, landscape, 3d, and other all are computergenerated images. Links to other sites with desktop wallpaper.
http://www.geocities.com/llaar6/
Click on the appropriate category: Cognitive Distortion (4 pages) Railz
Digital Blasphemy

(4 pages)
I.A. Design

Visitors since July 2001:
89 pictures total
Contact me at: llaar@hotmail.com
Drugs don't cause crime, prohibition causes crime
There are three ways to get something done: (1) Do it yourself. (2) Hire someone to do it for you. (3) Forbid your kids to do it.
link down geocities deleted the site :-/
Get a variety of useful programs and their cracks/serials here last updated: August 2, 2002 Welcome to the archive of desktop wallpaper which contains scenery, landscapes, fractals, animals, seasons, space, and 3d images.

158. ...GazJamUK...
Selection of 2/3D landscapes, urban renderings, spaceships, fractals, and digital cartoons.
http://www.gazjam.com/

159. A Slice Of Pi
Digits, chronology, expressions, other constants, maths books, fractals, Rolling Stones lyrics, and computer games.
http://www.yxq98.ukgateway.net/

160. Philip Van Egmond
Wiskundeoefeningen. Met daarnaast gebroken dimensies, onmogelijke figuren en fractals. De site is Nederlands en Engelstalig.
http://home.planet.nl/~Philip.van.Egmond/
Philip van Egmond
wiskunde, gebroken dimensies,
onmogelijke figuren, fractals,
creatief.
mathematics, fractal dimensions,
impossible figures, fractals,
creative.

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