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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

101. Perfectly Scientific - Home
the scientific algorithm company. Experts in compression, wavelets, FFT, general transforms, color graphics, Monte Carlo, fractals, convolution,signal processing, matrix algebra, genetic algorithms, number theory.
http://www.perfsci.com/

PSI news
bTop-1 featured George Storm discusses the bTop-1, prize-winner at ADHOC / MacHack. New hardware! New poster! New largest prime number! The prime is 2 -1, discovered in February 2005. Algorithm contracting PSI offers unique services that are hard to find elsewhere. We specialize in industrial algorithm problems. Contact us for professional help on your algorithm problems. Lab hardware PSI designs and supports laboratory peripherals for Mac OS X. More details can be found on our hardware page Free software PSI has software available for free download under this license PrimeKit
GiantInt
AlgorithmSampler
FastAlgorithms Souvenirs PSI also provides a unique collection of scientific souvenirs and gifts. Visit our store to find posters and other scientific paraphernalia.

102. Stefano's Dreamscape
The artist presents Dreamscapes, including galleries of Java applets, stationery, fractals, photos, and midis. Flash.
http://stefanosdreamscape.com/
Stefano's Dreamscape D i g i t a l A r t w o r x come in var site="sm4graphix"

103. LoveGrams.com Postcards
Features photos, fractals puzzles and cards. Categories include holidays, emotions, romantic, events, humor and nature.
http://www.lovegrams.com
To access a non-frames version of our postcards site, click here!

104. Grist Wallpapers
High quality scans choose from 640x480, 800x600 or 1024x768. Flowers, fractals, shells, and leaves.
http://members.tripod.com/mgrist/
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 ... [SiteOfMonth] This site is a member of WebRing.
To browse visit Here

105. M3dsaver Is Windows Screensaver Featuring Fractals And 3D Graphics
Windows screensaver featuring 3D images, and fractals using Mandelbrot and Julia Set. Download demo version.
http://m3dsaver.netfirms.com/

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106. Fractal Music
Web Guide Your guide to the best web sites for fractal music.
http://thinks.com/webguide/fractal-music.htm
Home Sites to See
Fractal Music
  • Don Archer's Digital Art
    Fractal music sequenced by Don Archer - as well as image galleries, and U-draw which lets you create your own fractals. Fantastic Fractals
    This site, designed primarily for students, has a fractal music section (as well as massive galleries of fractals, a fully interactive course on fractals, a fully functional fractal generation program, downloads, etc.) Fractal Fusion
    Great fractal music by Brian E. Jones, as well as several galleries of images. Fractals, Chaos, and Music
    An academic paper covering some of the research that has been done on relations between fractals and music. A few computer programs which can be used to generate fractal music - The Well-Tempered Fractal and MusiNum - are discussed, and also possible practical uses for software which can be used to hear patterns in fractals. Fractal Music by David Spondike
    George Jetson Meets The Big Bang (a sonic sculpture) and Hear The Mandelbrot Set (Dave's sonic maps). Plus S-COM files and good Fractal Links. The Fractal Music Lab
    Dedicated to the sharing of tools and information for exploring and advancing the musical use of fractals. This site contains numerous examples of fractal music, downloadable software you can use to compose original fractal music, and some information and activities designed to help you better understand fractals.

107. Blueberry3D
A program for designing and creating virtual landscapes utilizing real map data or synthetic data from fractals. fractals are also used to dynamically extend the data and level of detail. Win 98/SE/Me/2k
http://www.blueberry3d.com/
Continue ... Continue ...

108. MaryannsArt.com : Home
Assortment of art, fractals, scenery, photos, clipart, wallpaper and panoramas by the web mistress.
http://www.maryannsart.com/cgi-bin/ImageFolio31/imageFolio.cgi

Maryann's Art
Guestbook Links Animated Gifs ... Large Images - Membership
S E A R C H
Welcome Guest - All Categories - Clipart - Fractals - Movies - Photos - Scenery AND OR PHRASE Categories 3284 images in 42 categories Top Sort: date name hits rates Thumbs/Page: Clipart
Pieces of Art.
Fractals

Mathematical Compositions
Movies

Think of them as animated postcards
Photos

Places I have been Scenery Places you might want to visit or at least send a postcard from. C A T E G O R I E S - Clipart - Fractals - Movies - Photos - Scenery

109. Videotics
Monthly halfhour show of cyberdelia and digital imagery produced by the Surrealism Test Center, with links to fractals, and algorithmic art.
http://www.sharemation.com/~bravedog/videotics.htm
V i d e o t i c s
30 monthly minutes of broadcast and streaming video produced by the
Surrealism Test Center.

Available for purchase
Capture from newest show [Videotics 101 Premieres Aug.12]
[A new show and new caps will be added here every month]
Videotics 101: Spinning Lights 127 [Guest Artist J oel Cadman]
Music by Joel Cadman
also available:
Videotics 100: R ob Swift Kaneohe 1/05
Videotics 99: Guest Artist Scott Draves, from his dvd S potworks: Electric Sheep 2002 ; Believeth Music by Maribeth Back and jhno Videotics 98: Mirror Feedback [Conclusion] Music by J oel Cadman Videotics 97: Mirror Feedback Music by Michael Landau Videotics 96: Vertical Studio Feedback Slo-Mo Remix Short Feedback Variation Short Feedback Variation #2 Music by Michael Landau and J imbeau Walsh Videotics 95: New Equipment Edit #1 [Concl.]; Cosmic Dust; Vertical Studio Feedback Music by Michael Landau and J imbeau Walsh Videotics 94: New Equipment Edit #1 Music by Michael Landau Videotics 93: More PNG Videotics 92: Color Cycle Feedback Sine Wave Mix; Sepia Miscellaneous Cyberdelia Remix Fireworks Music by Michael Landau Videotics 91: Zig-zag Color Cycle Feedback Remix Music by Michael Landau Videotics 89: Bilaterally Symmetric Feedback Mix 5 Color Cycle Feedback Music by Michael Landau Videotics 88: Bilaterally Symmetric Feedback Mix 4 [Conclusion];

110. The T.C. Design Galleries Intersection
Diverse galleries; fractals, photography, guest galleries, digital art.
http://www.tcdesign.net/galleries.html
//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 Digital Portraits Fractal Gallery Art Gallery Photography Gallery ... Desktop Wallpaper Gallery TCD Galleries Intersection Early in her career O'Keeffe placed all the art she created in a room to evaluate it. She destroyed them all, because she thought each work was derivative of someone else's style. She started all over, hoping the art would reflect only herself. Choose a Gallery... All links will pop out a new browser window. The Digital Portrait Gallery The Photography Gallery The Fractal Gallery, West Wing The Fractal Gallery, East Wing The Art Gallery The Guest Gallery A collection of the various online galleries and websites where you can find my work: Chosen for MOCA Image of the Day, 07/22/03 Wanting your own website, to display your art? T.C. Design is offering special pricing for artists and musicians! Top

111. The Computational Beauty Of Nature
Companion site for the book by Gary William Flake. Contains applets and source code for simulations of fractals, chaos, complex systems, and adaptation.
http://mitpress.mit.edu/books/FLAOH/cbnhtml/
Computer Explorations of Fractals, Chaos,
Complex Systems, and Adaptation

Click here to continue

Last update: 30 Nov 2002.

112. Fractal Music
Electronic and fractal music. Fractal music, like the fractal imagery aboveis based on self similarity of patterns where the minute details resemble
http://www.solorb.com/fracmus/
Fractal Music
By G. Forrest Cook Fractal music, like the fractal imagery above is based on self similarity of patterns where the minute details resemble the larger structure. I have been working with fractal music since 1982, I originally wrote the software on a Z80 based CP/M system in the C language, the code was ported to DOS a while back and parts of it have been moved to Linux. I attended a speech by Benoit Mandelbrot, the mathematician who brought fractals into the public eye. I asked Mandelbrot about fractal music, his reply was simply: "Beethoven, Beatles, and Bach". The fractal music on my CD resembles many different styles of music, from classical to jazz to new age, and electronica. Composition of a musical fractal consists of listening to random seed melodies until an interesting pattern is heard, then the seed pattern is turned into a fractal-dimensioned replica of the original pattern. The results are often quite pleasing.
CDs for Sale
In order to bring in a few bucks and pay for some of my web bandwidth, I am selling CDs that I have made. They feature analog synthesizer music and electronic special effects.
  • PayPal is the preferred method of payment, just click the button.

113. Efg's Fractals And Chaos Page
Software and information resource on the Mandelbrot set, geometrical explosion sets, and attractors. Includes diagrams and mathematical backgrounds.
http://www.efg2.com/Lab/FractalsAndChaos
Contents
Fractals
Chaos

Glynn Function Gallery

Also see the Fractals and Chaos Section
of the Math Reference Library in look for Mathematics Fractals / Chaos Note: If you have a fast machine (233 MHz Pentium II or faster),
you'll likely need a patch to run TP 7 programs on this page.

See this fix for "Runtime Error 200." Fractals Program Description Files Keywords Tutorial about Mandelbrot and Julia sets. Mandelbrot Set, Julia Set Evolution of the MandelbrotSet Mandelbrot Set Fractal Discovery Lab
Art Gallery, Microscope, Movies, Tools, Library Fractals Show 2 Fractals, Chaos, Mandelbrot Set, Julia Set, Biomorph, Rainbow, WavelengthToRGB, pf32bit, Delphi Sierpinski Triangle Gasket Sierpinski triangle, Sierpinski gasket, fractals, self-similarity, Hausdorff dimension, digital pantograph, world-to-pixel mapping, recursion von Koch Snowflake von Koch curve, von Koch snowflake, fractals, self-similarity, Hausdorff dimension, digital pantograph, world-to-pixel mapping, recursion Chaos Program Description Files Keywords Iterated Function System to create four ferns (Also see, Mathematical Recreations

114. Pi R Squared :: Taking Maths Beyond The Surface
Explains the properties of fractal graphic images that can be created with special formulas. Also, introduces chaos theory and infinity. Offers free online help.
http://www.freewebs.com/pirsquared/fractals.htm
Pi R Squared
Taking Maths Beyond The Surface Fractals
For obvious reasons this is the Fractal page it has information on fractals to the best of my knowledge, anything I have wrong please let me know via email. Here are some fractal pictures, these are all taken from different sites but my main thanks go to the Google Image search, anyone who's pictures are here I thank you too. These are examples of Mandelbrot sets and other fractals were beautiful pictures are created from a simple rule, one simple rule that you could try is taking an equilateral triangle and adding a new triangle one third of the size onto the middle third of each edge, if you re-itterate this several times you create a complex diagram from a simple formula, this is an example of a Koch Curve and is very bizarre in the fact that this curve is infinite in length but finite in area because it is defined by a circle that passes through the original three corners. This is part of the subject Choas Theory and Topology.
Fractals - Pictures
Thess are examples of a Mandelbrot fractals...

115. Cool Math .com - An Amusement Park Of Math And More!
An amusement park of mathematics. Puzzles and number problems, fractals, geometry, calculus, algebra, online games, online calculators, and links.
http://www.coolmath.com/
Coolmath.com
An amusement park of math designed for fun!
Bored with math? Confused by math? Hate math? Yeah, Coolmath can fix that. Cool math Highlights:
Our new site: FinanceFREAK.com
Coolmath Algebra

Math Reference Area
(math formulas, etc.)
Lemonade Stand
(business math game)
Same Game
(a great math thinking game)
Brain Bender Math Puzzles

Coolmath Games
(free online math games)
Number Monster
(great arithmetic practice) Monster Mind Reader (Can it read your mind?) Fractal Gallery (See how math makes art.) Graph IT (a free online graphing calculator) Fraction Lessons (lots of easy examples) Spike's Game Zone (free online games) Jigsaw Puzzles Cool Things (Amazing what math can do!)

116. Caedes Desktop Backgrounds - Photography, Abstract, 3D - Caedes Desktop Wallpape
Archive of desktop wallpapers and backgrounds from the desktop of Caedes. Over 200 images including 3D computer art, fractals, abstracts, nature, and space scenes.
http://www.caedes.net/
Galleries Abstract Caedes Computer Contests ... Upload Images Navigation Discussion Board
Join the Cadre

IRC chatroom

Lonely Images
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Welcome guest Log In or Register User: Pass: User Stats 207 total users online
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::Benroy mbah SKMB ... dguyon Welcome to Caedes, the Desktop Wallpaper and Artist Community
Gerbera Wings at Night Glory Light Spider web. Leading Onward Bridge Over Colored ... 3050 regular members - 15755 total images - 78 new images today News Contest Winners - by Samatar 09/21/05 12:24 AM Thanks to everyone who voted in the t-shirt design competition. In the end it was quite close, with nearly all the entries recieving at least one of the 24 votes polled. But there can only be one winner, and on this occasion it is... PrismMagic ! His second design narrowly won with 5 votes closely followed by myself *bows* for this design. philcUK and xyccoc were equal third on 3 votes each. Congrats to the winners and thanks to all who entered, commented and voted! Read more - 8 Comments Voting on t-shirt contest - by Samatar 09/19/05 3:20 AM This is your last chance to vote on the shirt design contest entries! Please PM me your choice for best entry by tomorrow. Only one choice each please to make selecting the winner easier. If you want to review the entries, click on "New images" and then "Contests".

117. Book
A book by F. Przytycki and M. Urbanski in Postscript.
http://www.math.unt.edu/~urbanski/book1.html
Mariusz Urbanski
Department of Mathematics
University of North Texas BOOK Fractals in the Plane - the Ergodic Theory Methods
by
F. Przytycki and M. Urbanski Contents:
Introduction: "The Beginning ".
Chapter 0: "Basic Examples and definitions".
Chapter 1: "Measure Preserving Endomorphisms".
Chapter 2: "Ergodic Theory on Compact Sets".
Chapter 3: "Distance Expanding Maps".
Chapter 4: "Thermodynamic Formalism".
Chapter 5: Empty.
Chapter 6: "Fractal Dimensions". Chapter 7 i: "Conformal Expanding Repellers". Chapter 7 ii: "Sullivan's classification of conformal expanding repellers". Do not be confused by enumeration. This is really a new chapter. Chapter 9: "Conformal Maps With Invariant Probability Measures of Positive Lyapunov Exponent". Chapter 10: "Conformal Measures". Mariusz Urbanski Revised 10/17/2000 12:21:11 PM

118. Fractal Vibes Home
a fractal music / fractal graphics extraveganza. Mandelbrot music, Home ofYo Kubota s Mandelbrot music fractal music software
http://www.fractal-vibes.com/fvc/links.html
Links to Interesting and Helpful Places
Organised-Chaos
Phil Thompson's Fractal Music Site - Home of GingerBread Unusual Music Patricia Mason's site Featuring her Fractal Music Creations Brian E. Jones Computer Art Gallery Great Galleries of Computer Art, Fractals, and Fractal Music The Music of Jose Oscar Marques Jose's Fractal Music page at MidiWorld.com The Official ArtSong Site Home of Dave Strohbeen's 'ArtSong' Fractal Music Software Mehmet Okonsar Extensive site of the Composer, Performer, and also Fractal Musician U-Draw Fractals Enter some parameters and Don Archer will draw a fractal for you Fractal Music Lab The clearinghouse of info about fractal music - software, examples Aesthetics of the Prime Number Sequence Armand Turpel creates music using Prime Number Algorithms Mandelbrot Music Home of Yo Kubota's Mandelbrot Music fractal music software MusiNum Lars Kindermann's MusiNum fractal music software Spanky's Fractal Database All you ever wanted to know about the FractInt graphics software Omar's Basement Another site for fractal music software Fractal Judy Tons of fractal art here!

119. Panted Fiction
Selection of 3D art, manipulations, composites, fractals, and backgrounds.
http://www.paintedfiction.com/
A personal visual journey; exploring the often dark areas of one's soul. Several galleries of digital creations ranging from the surreal landscape of the fractal world, the turbulent seas, to a darker canvas of images. An expression of colours and textures just a little different. PaintedFiction.com

120. Fractal Vibes - Fractal / Algorythmic Music Samples
a fractal music / fractal graphics extraveganza. Examples Galleries ofFractal / Algorythmic music Produced using Various Fractal music Software
http://www.fractal-vibes.com/fvc/music/music.html
Fractal Music
What if you took the mathematics of Chaos Theory; which is what
creates fractal graphics,
and applied those same maths to Music?
This is what we refer to as "Fractal Music"...
taking the "mathematical feedback" of fractal equations
and
rather than mapping the results to the pixels on a computer screen...
mapping the results to the many aspects
that define the sound of music.
The Results Can Be Astounding.... Since the early Greeks it has been known that many aspects of Music are mathematical in nature Fractals produce patterns somewhere between Order and Chaos, Randomness and Predictability, Much like many naturally occuring processes and structures, Therefore - Fractal Music.......... Examples - Galleries of Fractal / Algorythmic Music Produced using Various Fractal Music Software Real Audio Versions Require the Real Player G2 Plugin (Free) Some Election Commentary in Music, prompted by the Current Crisis Tallahassee Snarf The Last Chad Gingerbread FMusic ... Guests A Note about Soundcards Standard MIDI supports 128 different instruments, plus drums

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