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  All Sites - 388 items found, showing 201 to 250

  1. IFS (Iterated Function Systems) for 2D and 3D Visualization - Craig M. Wittenbrink
    Using fractal interpolation to graphically represent two and three-dimensional scalar data: download article in PDF or PostScript format, and view related images. ...more>>

  2. Image Coding Using Fractals - Signal and Image Processing Group, University of Bath
    Graphs show how image compression using fractals compares to other methods. Also includes comparison pictures and a list of articles on fractal compression, some of which may be downloaded in gzipped PostScript format. ...more>>

  3. Images and Mathematics (Mathematics Archives) - University of Tennessee, Knoxville (UTK)
    A large collection of images based on or related to mathematical principles, many purely mathematical abstractions, such as fractals; others of natural objects whose shape is explained by equations and mathematical models (for example, a drum vibrating). ...more>>

  4. Images Created by Man & Chaos - Alan Beck
    Some personal observations on fractal art and artists. "...the fractal artist does not create but explores, does not manufacture but discovers. Instead of being repelled by computers, such adventurers revel in them, as European mariners of old rejoiced ...more>>

  5. The Institute for Figuring - Margaret and Christine Wertheim, Co-Directors
    "If mathematics is a language of pattern, its structures may be seen as the verses of a formal, yet fantastical poetics. Across the globe people have delighted in the harmonies of this language and the patterns discovered therein. These are the songs ...more>>

  6. Integer Sequences and Arrays - Clark Kimberling; Dept. of Mathematics, Univ. of Evansville, Evansville, IN
    Certain seemingly simple sequences of integers baffle the best mathematicians. Other sequences, less baffling, exhibit patterns - or absence of patterns - whose appeal shines beyond whatever applications these sequence might find outside mathematics. ...more>>

  7. Interactive Java Applets - Fergus Murray
    Dragoric (The animated fractal toy); Toroidia (Adventures in toroidal geometry); Trochor (Fun with trochoids). See also Fergus Murray's Mathematical Graphics Page, and his mathematical animations. ...more>>

  8. Interactive Learning in Calculus and Differential Equations with Applications - Mathematics Dept., Indiana Univ. of Pennsylvania
    Mathematica notebooks: Finding Areas with the Gauss-Green Formula, Newton's Method and Fractals, Vibrating Drumheads, The Drag Force on a Sphere, and a collection of 26 notebooks from the course Advanced Mathematics for Applications. In order to disseminate ...more>>

  9. The Interactive Mandelbrot Set
    A Java applet that allows you to zoom in on portions of the Mandelbrot set. ...more>>

  10. Interactive Mathematics Miscellany and Puzzles - Alexander Bogomolny
    "The peculiar beauty of Mathematics lies in deduction, in the dependency of one fact upon another. The less expected a dependency is, the simpler the facts on which the deduction is based - the more beautiful is the result." This award-winning site offers ...more>>

  11. Interactive Mathematics Online - ThinkQuest 1996
    Algebra (Postulates - Things you can do with equations and inequalities, Function Basics and Simple Graphing, Kinds of functions (periodic, odd, even, etc.), Function Squashing); Geometry (an introduction, applications, glossary, sample problems); Trigonometry, ...more>>

  12. Interactive Science Activities on the Web (ISAW) - Richard L. Bowman; Bridgewater College, Bridgewater, VA
    Java activities demonstrating fractals and Kepler's laws of planetary orbits. Includes a lab activity using the planetary orbit applet. ...more>>

  13. The InterFACE: Internet Fractal and Chaos Education - ThinkQuest 1997
    Lessons, games, activities, demonstrations, and software, to inform users of the science and mathematics behind fractal images and chaos theory. The lessons, identified by subject and level of difficulty and including quizzes, are designed to promote ...more>>

  14. Introduction to Chaos Theory - Andrew Ho
    Designed for those with little background in mathematics. Topics covered include bifurcation diagrams; the Lorenz, Rossler, and Henon strange attractors; Kolmogorov-Arnold-Moser orbits; and fractal geometry, including the Sierpinski Triangle, Von Koch ...more>>

  15. Introduction to Fractal Geometry - Michael Frame, Benoit Mandelbrot, and Nial Neger
    A collection of pages to support a first course in fractal geometry for students without especially strong mathematical preparation. See examples of fractals in the arts, humanities, and social sciences. Learn about self-similarity, plane transformations, ...more>>

  16. An Introduction to Fractals - Jeff Haley
    An introduction and an exploration of the von Koch curve. "Without a detailed analysis, fractals are colorful patterns that yield great detail when very tiny sections are observed. There are many different fractals, yet different ones often yield similar ...more>>

  17. Introduction to Lacunarity - Erik Rauch
    Lacunarity is a counterpart to the fractal dimension, and describes the degree of gappiness of a fractal. It is strongly related to the size distribution of the holes on the fractal and to its deviation from translational invariance; roughly speaking, ...more>>

  18. Introduction to the Mandelbrot Set - David Dewey
    Images of the Mandelbrot set, with information on complex numbers and on graphing Mandelbrot sets. ...more>>

  19. Investigating Patterns: Number Patterns Fun with Curves & Topology - Jill Britton
    Annotated list of links within various number pattern, curve, and topology topics. Linked items feature activities for students. Topics include: prime numbers/magic squares, clock or modular arithmetic, the golden ratio, Fibonacci numbers, binary numbers/Pascal's ...more>>

  20. Iterated Function Systems - David Arnold; Mathematics Dept., College of the Redwoods, CA
    What will the final image look like after you have plotted the infinite collection of points X1, X2, X3, ... generated by the chaos game? What if you plotted the infinite set of points generated by Barnsley's rules? This page provides a program that you ...more>>

  21. Iteration and Recursion - Harold Brochmann
    New classes of mathematical objects have been uncovered in the last couple of decades, with names like Strange Attractors and Fractals. What they share is that they can only be revealed through computer-based mathematical operations called iterations ...more>>

  22. Jackson Pollock's Fractals - Ivars Peterson (MathTrek)
    How Pollock's approach was "more systematic than the chaotic results might suggest... Physicist Richard P. Taylor of the University of New South Wales in Sydney, Australia, who is also trained as an artist, has taken a mathematical look at Pollock's splatter ...more>>

  23. Java Boutique Educational Applets - internet.com Corp.
    Investigate or download various Java applets, including 3D viewers, calculators, applets to graph functions or data, and simulations, such as the bell curve and fractals. The source code for many applets may also be downloaded; a few applets are shareware ...more>>

  24. Java Examples - Richard Koch; Dept. of Mathematics, Univ. of Oregon
    Fractal and FourD, two Java programs with source code and standalone versions available. "Fractal" can display various self-similar objects. "Four Dimensions" displays regular solids in three- and four-dimensional space. The solids can be rotated and ...more>>

  25. Java Fractals - James Henstridge
    Java applets to draw different kinds of fractals: Iterated Function Systems (Sierpinski Triangle, fern, etc.), complex number fractals, and orbit fractals. Includes explanations of the algorithms used, and code for each applet. ...more>>

  26. JAVA Gallery of Interactive On-Line Geometry - The Geometry Center
    Applets illustrating geometry concepts. WebEQ, Hyperbolic Triangles, Lorenz Simulation, One-Dimensional Iteration, Tetris, Leap Fractal, Fractals from Iterated Function Systems, Kali: Wallpaper Patterns. Created by The Geometry Center. ...more>>

  27. Java Simulations of Cellular Automata Models - Ed Young and L. Charles Biehl
    The Forest Fires simulation applet models the spread of fire as a function of the probability that a burning tree will set its neighbor afire, and can include factors of wind and obstacles. The Percolating Oil Spill simulation applet models the percolation ...more>>

  28. John Allen Paulos
    John Allen Paulos is a mathematician and author of the books Mathematics and Humor, I Think, Therefore I Laugh, Innumeracy - Mathematical Illiteracy and Its Consequences, Beyond Numeracy - Ruminations of a Numbers Man, A Mathematician Reads the Newspaper,and ...more>>

  29. John and Betty's Journey into Complex Numbers - Matt Bower
    A children's book-on-the-Web from Australia, designed to introduce complex numbers in story form in a way that is intuitive and enjoyable for students. John, Betty, and their dog Trevor solve a series of problems designed to introduce integers, fractions, ...more>>

  30. Journal of Computational Analysis and Applications - George Anastassiou, Ed. Raymond A. Clapsadle
    A peer-reviewed journal that publishes research articles from all subareas of Computational Mathematical Analysis, including: Applied Analysis, Applied Functional Analysis, Approximation Theory, Asymptotic Analysis, Difference Equations, Differential ...more>>

  31. k12.ed.math - Math Forum
    A moderated discussion forum for K12 mathematics issues such as curriculum, assessment, classroom practices, suggested assignments, help on particular problems, grading practices, requests for advice, history of mathematics, etc. Messages are reviewed ...more>>

  32. K-12 Teaching Materials (Mathematics Archives) - University of Tennessee, Knoxville (UTK)
    An extensive list of Internet sites with significant collections of materials that can be used in the teaching of mathematics at the K-12 level. Organized into categories: lesson plans, schools, software and other K-12 Internet math sites. ...more>>

  33. Ken Brakke's home page
    Home page of the Susquehanna University mathematics professor who co-authored The Physics of Microdroplets and developed Surface Evolver, a free interactive program for modeling liquid surfaces shaped by various forces and constraints. Brakke also offers ...more>>

  34. Ken Monks's Software - Ken Monks; University of Scranton
    Links to some programs written by the author, as well as by others, that have been useful in his mathematics courses. Ken Monks's software includes RevSolid, a Maple program for making animated plots of solids of revolution; STEENROD, a Maple program ...more>>

  35. Ken Shirriff
    A researcher at Sun Microsystems. Annotated bibliographies on fractals and cryptography, and related papers, which may be downloaded in PostScript format. Graphics of Voronoi fractals (dividing the plane into regions closest to a given point) and fractals ...more>>

  36. Keplerian Fractals - Hop David
    Just as a Star of David can be transformed into a Koch Snowflake, Kepler's solids can be made into fractals by placing inside the pyramids smaller versions of the original solid. See also Escher's rendering of a dodecahedron and his Double Planet. ...more>>

  37. Kids' Tech University - Virginia Tech
    Kids' Tech University (KTU) sparks kids' interest in science, technology, engineering, and mathematics (STEM) through a hands-on activity, virtual lab, and interactive session, held once a month from January to April, in a lecture hall on the campus of ...more>>

  38. Launch into Math - C. Halter
    A project created to further student understanding about the Internet, its resources, and the NASA Space Shuttle program. SpaceMath activities are provided for geometry (measure area and distance in space photographs); algebra (use the math that keeps ...more>>

  39. Álbumes Ilustrados Sobre Ciencia - Verónica Navarro
    Álbumes ilustrados de geometría y arte abstracto como lo de Joan Miró, Paul Klee, y Wassily Kandinsky: La rebelión de las formas hace un itinerario por la geometría, la física, y el arte en un intento de reflexionar ...more>>

  40. Lessons and Curriculum - MSTE, University of Illinois at Urbana-Champaign (UIUC)
    Browse lessons predominantly for middle and high school students, from the Office for Mathematics, Science, and Technology Education (MSTE) and from other sources. ...more>>

  41. Lesson Study: A PCMI Experience - Tony Anderson, Jennifer Kumi Burkett, Gail Burrill, Joyce Frost, Jerry Gribble, Jill Ryerson, and Celeste Williams
    An article written by the Japanese Lesson Study group from the 2003 Park City Mathematics Institute (PCMI) about their experience developing the lesson, "Studying Dimensionality Through a Stair-Step Fractal." With an explanation of the Japanese lesson ...more>>

  42. Levitated - Jared Tarbell
    "Visual poetry and science fun narrated in an object oriented graphic environment." See, in particular, the generators in sketches and applications; and "open source," a library of fractals, cellular automata, space-filling algorithms, "auto-fixing words," ...more>>

  43. Living Graphs - Living Graphs Inc.
    Makers of ChaosLab, an interactive math package for visualizing and understanding fractal geometry and chaos theory. This PC software title covers bifurcation diagrams, the chaos game, coin tosses, diffusion limited aggregation, Levy flight, Pascal's ...more>>

  44. lo-fi paranoid ambient fractal music - Dave Sag
    Self-similarity is the essence of fractal geometry: this is self-similar music, where each part has the same structure as the whole. Download an example in Real Audio, Shockwave, or aiff format. Another version of this page, What do I mean by 'fractal ...more>>

  45. Low-Complexity Art - Jürgen Schmidhuber
    Low-complexity art is the computer-age equivalent of minimal art (Leonardo, MIT press, 1997). A low-complexity artwork can be specified by a short computer algorithm. It should 'look right', its algorithmic complexity should be small, and a typical observer ...more>>

  46. Magic Carpet Graphics
    Computer-generated artwork by a London-based team of artists, available for sale as high-quality photographic prints at A6 A4 sizes. ...more>>

  47. The Magic Sierpinski Triangle: (Serendip: Complex Systems) - Bryn Mawr College
    Order dependent on randomness: the Chaos Game. Construct Sierpinski's Triangle using Java interactively on the Web and focusing on one particularly interesting question: what is the right way of choosing the vertices? In the construction, the elegant ...more>>

  48. Making Order Out of Chaos - Andrew Davenport, Shane Kraynak, and Brian Timko - ThinkQuest 97
    An introduction to chaos and fractals: history, theory, and a gallery of fractal images. Includes a review of complex numbers and a Java applet to investigate sensitive dependence on initial conditions. ...more>>

  49. Makin' Magic Programs, Fractals, Freeware, and Graphics - Dave Makin
    Fractal freeware and galleries of examples. The fractal program MMFrac2.4 includes solid 3D hypercomplex and quaternion fractals and realtime 3D landscapes. An older version of the page can be found at http://skyscraper.fortunecity.com/terabyte/966/. ...more>>

  50. Mandelbrot and Julia Set Explorer - David Joyce; Dept. of Mathematics & Computer Science, Clark University
    Modify Mandelbrot and Julia set images by adjusting the (x,y) sets of the pictures; then explore what you have created. Background information and detailed instructions for how to modify the image is provided, in addition to links to other images, reference ...more>>


 
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