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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

121. Mathartpaste
Collaborative project between Maths and Art departments of East Carolina University. Gives their approach to fractals, tessellation, and topology, with some links.
http://150.216.112.98/artEd/mathart-web/matharthomepage.htm
Math Art Project 1999
School of Art
East Carolina University Greenville, NC Overview
  • East Carolina University School of Art in collaboration with the East Carolina Department of Mathematics started a project in 1996 to investigate the relationship between Geometry and Art. What characteristics are shared? What characteristics are different? These are questions Dr. Cynthia Bickley-Green and Dr. Phil Phillips of ECU School of Art sought to answer.
  • Mathematics and Art teachers from all over eastern NC were asked to participate in the study that involved students from area schools in grades K-12.
  • Both Math and Art teachers taught the lessons after learning the concepts in Saturday classes.
  • The 1999 Math Art Project ended successfully with an Art Opening on May 18, 1999.
  • The 1999 ECU Math Art Project is supported by a grant from the North Carolina Mathematics and Science Education Network Year 9 and East Carolina University with additional contributions from Weyerhaeuser Paper Company and Edgecombe County Schools.
The Opening
May 18, 1999

122. Free Screensavers And Desktop Themes 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. Made with beautiful abstract art and fractals.
Screensavers can be muted, have adjustable graphics speed and Windows XP compatible. * Computer friendly downloads that are 100% free of Spyware and Advertisement Programs! *
Click to see why my Screensavers are free.
Want to see Angels wrapped in fur?

Most Downloaded
Last Week
download Violets download Matching Desktop Theme Exquisite images transform and reveal themselves into each other along with the music. An intriguing screensaver that's relaxing yet interesting to watch. (Site Last Updated June 06, 2004)
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.
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View Results download Wild Growth Enchantment download Matching Desktop Theme Free screensaver with vivid 3d cubes tumbling on your desktop creating multiple stunning images.

123. Wiskunde
Diverse eetenswaardigheden op het gebied van de wiskunde. fractals, breinbrekers, wiskunst, pi en reeksen.
http://home.wanadoo.nl/rule-off/wiskunde.htm
Wiskunde
Fractals
Voorbeelden en eenvoudige uitleg van de theorie van deze wiskundige plaatjes, en veel links Wiskunst
Escher: regelmatige vlakvulling en zo meer Chaos
Hierover heb ik een profielwerkstukpakket gemaakt en een artikel geschreven Puzzeltjes Breinbrekers op veel niveaus
Over het wat, waarom en hoe van wortel2 Reeksen
Een enorm uitgebreide reeksen-pagina Lampjes
Wat heeft dit in vredesnaam te betekenen?! Links p
De wondere wereld van het getal pi, vrienden van pi en het berekenen van pi. Rekenen Hier ga ik jullie leren rekenen...(!) Algemeen Verdere links naar (algemene) wiskundepagina's Op deze pagina komen natuurlijk allerlei wiskundige wetenswaardigheden en leukigheden te staan die ik tijdens mijn studie zoal tegen zal komen. Veel van jullie zullen de wiskunde helaas onnodig, droog en vooral niet boeiend vinden. Nu ben ik niet van plan alle positieve kanten van de wiskunde te vertellen (wat is de wereld zonder wiskunde?), maar zal voor al inspelen op het gevoel, op het oog. Daarom dus voorlopig alleen nog maar enkele mathematisch-artistieke hoogstandjes (fractals+wiskunst) die ik van het web heb weten te bemachtigen (wat ik jullie ook zal aanraden), met nog enkele links voor wie wat meer geïnteresseerd is in die wiskunde. Hierna volgen nog een aantal zaken waar ik me de afgelopen jaren mee bezig heb gehouden, gevolgd door een aantal opmerkelijke getallen, met een gemakkelijk te volgen verhaaltje erbij. update("06-08-01")

124. Digital Abstract Art, Photoshop Gallery, Photography Gallery, Photoshop Artist
Collection of computer rendered abstract artworks, mostly fractals.
http://kochis.net/
Randy Kochis is a Digital abstract artist who utilizes Adobe Photoshop to create amazing digital abstract art. He is also a Photographer and uses his photography in some of his work to create digital abstract creations. Step inside to view his digital abstract gallery!
Artist Bio
Gallery Purchase! Contact Randy

125. Cross Stitch With The Golden Hoop
Several artists' designs include fantasy, spiritual, floral, animals and fractals.
http://www.thegoldenhoop.com/
@import url(http://www.homestead.com/~media/elements/Text/font_styles.css);
You can purchase them online or through our mail in form.
Gift Certificates

Find out what is new in June
on the What's New page!!

We have a secure online payment system through Paypal . You must sign up to send payments this way. It is free! Most major credit cards are accepted.

Thank you for visiting The Golden Hoop!
We hope your visit here will be pleasant and that you will find something you just can't resist adding to your to do list!
Shipping

Gallery

Welcome!
The Golden Hoop 290 Lewis Road Constantia, NY 13044 Join our mailing list for updates on the newest additions, site news and occasional freebies!! (When inspiration hits!) Just click on the link below. Your e-mail will not be shared with any other site or organization. Embroiderytop - Best Sites of Embroidery Cross Stitch too! UPDATED!! Thank you for visiting! WWW http://www.thegoldenhoop.com This page was last updated: June 1, 2004 Home About Us Designs Whats New ... Contact Us Free shipping on orders of 6 patterns or more! Now Offering Dimensions Cross Stitch patterns in leaflet form and some kits too!

126. 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/
Tanzanite Software LLC.
Company Info
TechNature Engine TechNature Physics Dreamlands ... CodeView

127. Peanut Software Homepage
Free mathematics software for Windows. Individual software packages handle geometry, equations, statistics, discrete math, fractals, matrices, and games.
http://math.exeter.edu/rparris/default.html
Peanut Software Homepage
Last Updated: 12 May 2004 There is now a mirror site , which will contain the same current versions as this site.
There is also a page of FAQ , which I will add to as necessary.
Generous Peanut users have established a mailing list , a database for sharing documents, and German and French versions of this page. Click the following links to reach the download pages: Wingeom (03 Apr 2004) Winplot (03 May 2004) Winstats (12 May 2004) Winarc (11 Apr 2004) Winfeed (26 Oct 2003) Windisc (27 Apr 2004) Winlab (07 Jul 2000) Winmat (03 Apr 2004) Wincalc (23 Feb 2004) Documents (4 Jun 2003) The programs may be freely distributed, and the author ( rparris@exeter.edu ) welcomes suggestions for improvements and repairs. Current versions (dated with the program) are always available at this site (Phillips Exeter Academy). Each downloaded program is a self-extracting archive, which contains the executable file and perhaps some accessory files. The executable file includes documentation that can be printed, exported to your word processor, or simply used for on-screen help. To download programs, first create a directory on your hard drive into which the files will be copied, then click the desired links. After downloading, execute each file (double-click its icon) to extract its contents. The program icon should now appear in the directory window. There is no installation program — you will have to

128. Fractals
Images of several attractors, some Newton Raphson method fractals, and L systems. Includes programs and explanations how to write such programs.
http://www.swin.edu.au/astronomy/pbourke/fractals/
F r a c t a l s , C h a o s
Index Geometry Formats Curves Surfaces Polyhedra Fractals, Chaos Projection Stereographics Rendering Radiance PovRay OpenGL Modelling Terrain Colour Textures Other Data Formats Analysis Fun Puzzles Old Stuff Papers
POVRay Fractal Raytracing Contest
Fractal Dimension Calculator - FDC
Box counting software for the Macintosh and Linux. Ruler or Compass Dimension Multifractal spectrum Lacunarity Recurrence plots ... 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. 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

129. 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.

130. Tizzy's Wallpaper
Free fractals, patterns, and designs wallpaper in 800x600, 1024 x768 sizes and tiles.
http://itch3.tripod.com/
var TlxPgNm='index'; var cm_role = "live" var cm_host = "tripod.lycos.com" var cm_taxid = "/memberembedded"
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:

131. 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

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

133. Fractal Animations
with a program called a music Generator, which creates music and MIDI files fromfractals, pictures, text and numbers. It s fun to use and really flexible.
http://www.fractal-recursions.com/anim.html
Fractal Animations
These UF animations were created using Ultra Fractal and a custom animation program. One was made using Apophysys , which is now able to create animations itself. Each animation is around two to five minutes long and took anywhere from several days to several weeks to render using 4 computers. To encode the frames into animations I used MainActor . The 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". Some of the animations now include music. This music was created with a program called a Music Generator , which "creates music and MIDI files from fractals, pictures, text and numbers." It's fun to use and really flexible. I exported MIDI files from it and used Reason to create the final versions. It seems browsers may have problems opening these files, so you might want to right click, then select "Save as" to save the files instead of opening them directly. Then launch them locally on your system with your viewer.
*** 5/24/04 - Update! Still planning to make the DVD available through CDBABY, I've just been too interested in playing with Xenodream lately to wrap it up. If you are interested in the DVD you might want to drop an email and tell me to hurry it up.

134. MASTAK.RU/Îøèáêà!!!
Different screensavers from points, including 3D screensavers and fractals.
http://www.kucaks.com/assorted/
Êîìïàíèÿ «Ìàñòàê.ðó» íà÷èíàåò ðåãèñòðàöèþ ïðåñòèæíûõ äîìåíîâ â çîíå SU!
Ââîäèòñÿ íîâûé ñïîñîá îïëàòû ShareIt v2v transfer.
Èíôîðìàöèþ îá èíûõ óñëóãàõ, îêàçûâàåìûõ êîìïàíèåé Mastak.ru, Âû ìîæåòå âèäåòü â ðàçäåëå
support@mastak.ru

sales@mastak.ru

chat.mastak.ru

- $14,95/ìåñ. (250 Mb)
50 Mb 100 Mb 250 Mb 1 Gb
support@mastak.ru

135. 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
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 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 "

136. Fractal Music
Fractal music. Fractal music, like the fractal imagery above is based on self similarityof patterns where the minute details resemble the larger structure.
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.

137. Desktop Wallpapers And Backgrounds - Animated And Still
Free desktop images and seamless textures of fractals.
http://www.shineout.com/
window.open('http://ptbanner.gmx.de/werbungeng.php3?domain=shineout.com','ptk1FSRUC7JWs','width=488,height=50'); ANIMATED TEXTURES SEAMLESS TEXTURES DESKTOP WALLPAPER LINK TO US ... ANIMATED-SYMMETRY
Now you can create your own animated seamless textures for free. Visit our new web site www.animated-symmetry.com
Welcome to Shineout Graphics. All our desktop wallpapers / backgrounds are computer generated graphics. 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. The free desktop wallpapers / backgrounds including fractals, firework and hairy stuff!.
Shineout is one of few sites which 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.

138. 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/

139. This Is The Personal Webpage Of Michail Stamatakis
Animations fractals, quaternions; mathematical explorations; artistic pictures created by computer, graphs of mathematical objects, photos. Links to scientific sites.
http://users.ntua.gr/ch99003/indexEN.html

140. Chaos Theory Resources - Fractals - Directories - Academic Info
A Directory of Internet resources on chaos theory and fractals.
http://www.academicinfo.net/mathchaos.html
Academic Info
Mathematics
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- The Weight Loss Institute offers research on weight loss and diet pills Online Education.net Online Degrees College-Campus.com ... Auto Insurance Cheap You can sponsor this page Email us for details A Beginner's Guide to Chaos "This page was created to give a short introduction into some of the concepts and creations of Chaos Science. Chaos is very much related to fractal images which many view as both breathtaking artistically and thought provoking intellectually. It's written in fairly simple language and is intended primarily for beginners, however, an understanding of some basic mathematics and math terminology is required. Sections include: What is Chaos ; Calculator Chaos ; What are Fractals ; What is Fractal Dimensions.

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