 Fractal Of The Day (FOTD)
An archive of James Albert Muth's Fractal of the Day images, with formulas and related discussion. (Images originally posted on the Fractal Art Discussion List.)
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 Fractals and Circle Inversions  Michael Frame, Barbara Bemis, Colleen Clancy, Tatiana Cogevina; Union College, Schenectady, NY
Inversion across a circle was introduced by Appolonius of Perga, whose definition of inversion was synthetic, as was all geometry at that time. This article gives an analytic characterization, with an explanation of inversion limit sets, and three animations
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 Fractals, Art, Pattern, Symmetry...  Clifford A. Pickover
Melding art, science, mathematics and other seemingly disparate areas of human endeavor. Links to detailed information on Pickover's books (of particular math interest are: Chaos and Fractals: A Computer Graphical Journey; The Loom of God; Fractal Horizons
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 Fractals as Art  Melissa Binde, Swarthmore College
"...fractals are an art form. The mathematics provides the form, but it is up to the individual creator (artist) to choose the boundaries, colors, and manner of presentation of each fractal." Three categories: "standard" fractal fare, reproducible with
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 Fractals by Nous  Stephen A. Karl
A collection of fractal art generated using UltraFractal, Tierazon, Grafzvizion and Fractint 19.6.
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 The Fractals Calendar  Daryl Hepting, University of Regina, Saskatchewan, Canada
In each year since 1991, a calendar of computergenerated images has been published, based on the fractal geometry of Benoit B. Mandelbrot. Previously, the calendar was first done as a custom edition and then as a trade edition in the following year.
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 Fractals @ chaotic nspace network  Jon Camp, Benjamin Martin
A short introduction to fractals, fractal galleries, a link to a small fractal software collection, and links to other fractal galleries.
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 Fractals  Cynthia Lanius
This lesson plan for exploring fractals is designed so 4th through 8th grade students can work independently and be assessed innovatively. It conforms to the 1989 NCTM standards, and provides links to other fractal sites. Contents: Why study fractals?
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 Fractals: Definition & Activities  Suzanne Alejandre
A Math Forum Web Unit. Includes definitions and descriptions of fractals, links to pages on the Sierpinski triangle, the Koch edge, the Peano curve, the Lorenz attractor, and the Dragon curve; and more links to fractal sites on the Web.
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 Fractals from Ojai  Art Baker
A fractal gallery and homepage in one.
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 Fractals in Science: Simulations  Center for Polymer Studies, Boston University
Handson activities, laboratory experiments, and interactive visualization programs that encourage students to explore how fundamentally random microscopic events can give rise to fractal macroscopic patterns. An image gallery and fractal related software
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 Fractals  JeanPierre Louvet
Information and more than 250 images created by the author using Fractint, GrafZViZion, etc.
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 Fractals  Martin Sandin
A Java applet that allows you to zoom in on the Mandelbrot set. Buttons are in Swedish, but the interface is straightforward and translation is provided. Also includes a few sample images.
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 Fractals  ThinkQuest 1997
Information (definition, applications, fractal mountains), data sets (Mandelbrot and Julia), and animations with source code.
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 Fractals with Mathematica  Robert M. Dickau; Math Forum
Some simple fractal images and Mathematica code for Cantor dust; Julia sets; Mandelbrot (and related) sets; Randelbrot set; Menger sponge; Sierpinski tetrahedron; Newton's method; variation on Newton's method; Sierpinski carpet; 2D and 3D Lsystems (also
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 Fractalus Entrance  Damien Jones et al.
Galleries: a site designed to display the best in fractal art.
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 Fractal Video Art Gallery  Eric Shol
Fractals generated using Fractint, free for copying and distribution on a noncommercial basis. Recent Acquisitions; Room Two (Bluedive I & II  image/animation); Room Three (Zoom  image/animation); Room Four (Twist); Room Five (Rose, Dome, Joy).
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 Fractal Wallpaper  Ian Anderson Design
A gallery of fractal wallpaper images.
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 FractImage  David Rose
Preview jigsaw puzzle images that exhibit selfsimilarity, and purchase the puzzles online. Visit the fractal gallery; read about fractals and FractImage; and download fractal wallpaper for your desktop.
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 The Fractory: An Interactive Tool for Creating and Exploring Fractals  Green, Kulesza, Bergstresser; ThinkQuest 1996
Learn about fractals  what they are and how to design them  and discover more on your own. Fractals show an order in seemingly random things, and give us tools with which we can predict the weather, render natural looking objects, and help understand
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 Franklin's Mathematics  Paul C. Pasles, Villanova University
From the author of Benjamin Franklin's Numbers: articles on the founding father's "littleknown role as a mathematician," and examples of Franklin's magic squares and magic circle.
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 Frattali  Isawi
Disegni a mano libera elaborati con Autocad e Photoshop per creare immagini di tipo frattali.
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 Free Tiiu Pix  Tiiu Roiser
A collection of thousands of free, highresolution images for enhancing lesson plans, as well as research by teachers and students alike. Roiser, a retired teacher, organizes her photos and graphics into categories such as architecture, food, holidays,
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 Frequently Asked Questions About Trigonometry  J. David Eisenberg
An interactive site that explains the ideas behind trigonometry. With Java applets for experimenting with triangles and audio files for hearing the pronunciation of trigonometric terms.
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 Frieze Patterns  David A. Reid
A frieze is a pattern which repeats in one direction. Friezes are often seen as ornaments in architecture. A mathematical analysis reveals that there are seven different frieze patterns possible. These resources were designed for a standardsbased project
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 From Chaos: Beauty  Kitara
Fractal galleries created using UltraFractal.
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 The FUNKtion  Appreciating Math through Art  ThinkQuest 1996
How to do really hard graphic stuff. Tilings, Fractals, Sierpinski Gaskets, animations, pictures, links. Math "crash courses" on Complex Numbers; Magnitude and the Pythagorean Theorum; Functions; and 3D.
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 Fun with Cellular Automata  Mathilde Rufenacht
Java applets such as "pattern calculators" for exploring onedimensional cellular automata, Conway's game of life, and the skins and furs of animals. Also, use the site to run your own screen savers.
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 Fun with Fractals and the Platonic Solids  Gayla Chandler
A site rich with photographs and drawings of Sierpinski triangles and Platonic solids, made by hand, to inspire children of all ages to construct their own mathematical structures. See photographs, many set in marine environments, of dodecahedra, hexahedra
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 Fun with Fractals  Keith Gabryelski
Click in the fractal image to select the area of the fractal you would like to examine; select a location and style for the fractal image by modifing the values in the form.
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 Gallery of Data Visualization  Michael Friendly, York University
Examples of the best and worst of statistical graphics, from what is arguably the best statistical graphic ever drawn, to the current recordholder for the worst.
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 Gallery of Fluid Mechanics  M. S. Cramer
An image/movie gallery illustrating a wide variety of phenomena, including aurora, vortices, supersonic flow, supersonic cars, water drops, water waves, and shock waves. Accompanying each image or movie is a brief physical explanation. Students and teachers
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 Gallery of Fractal Images  Paul Bourke
An experiment in a creating a virtual gallery based upon a minimal WWW environment that doesn't require Java, VRML, or server features such as a rendering engine or CGI programs. Upon entering the gallery, move forward by clicking near the upper center
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 Gallery of Mathematical Images  Dept. of Mathematical Sciences, Loughborough University, UK
The Mandelbrot Set (frames from an animation); Quaternionic Fractals (an extension of the complex numbers  Mandelbrot and Julia sets); Hyperspace (4dimensional structures projected into 3dimensional space); Molecular Dynamics (images from simulations,
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 GED Math Graphics  Howard Myers
Graphical GED test preparation designed for addiction treatment nonprofits, domestic violence shelters, community based organizations, and other, traditionally resourceconstrained programs attended by disadvantaged or indigent students.
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 Generalized Logistic Equation  Douglas J. Ingalls
A logistics equation is one of the simpler chaos equations. This site explores the property of the general equation with respect to immigration/emigration of the world's population. Includes graphs and a QBASIC program for generating logistic graphs.
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 Gene's Corner: A Play on Numbers  Eugene Maier, Math Learning Center (MLC)
A series of mathematical vignettes that use visual models to illuminate elementary math topics. The scenes include: The Counting Numbers; Adding Counting Numbers; Subtracting Counting Numbers; Multiplying Counting Numbers; Dividing Counting Numbers; The
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 The Geometer's Sketchpad and Tessellations  Cathleen V. Sanders
A tessellation tutorial that provides stepbystep instructions for tiling the plane using the Geometer's Sketchpad. Linked to it are examples of student tessellations created by Cathi Sanders' pupils at Punahou School in Honolulu, Hawaii.
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 Geometria descrittiva e modellazione 3d  Hasan Isawi
In Italian: Questo Sito vuole affrontare quella parte teorica della geometria
descrittiva tenendo conto della potenzialità degli odierni strumenti della
computer grafica.
Ovvero, in considerazione del fatto che una volta completata la costruzione
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 Geometric Arts  Ghee Beom "Quincy" Kim
A site dedicated to geometry and visual perception: patterns, fractals, structures, rotations, spirographs, optical arts, knots, and more. Some constructions include the artist's reflections, instructions, and links to related sites and interactive applets.
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 Geometric Loci
Pictures and animations of mathematical curiosities. Posts, which date back to January, 2014, have included Reuben Thomas iris, the trammel of Archimedes, Möbius hanger, polyhedron drilled pentagonal rotunda, and il triangulo Sierpinski secondo Dimitri.
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 Geometry Daily  Tilman Zitzmann
A new "geometric minimal composition" every day since January, 2010. Zitzmann, an interaction and graphic designer, "draws simple shapes, combines them and experiments until they start to 'sing,'” then Photoshops them to have the look of "analog paper."
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 Geometry Everywhere  Betty R. Allen; Kodak
An activity intended to make students more aware of geometric shapes and lines in objects around them. Students were divided into five groups, four to photograph geometric shapes and concepts at home, on the farm, in town, and at the lake, and one group
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 Geometry Gallery of Imaginary Animals (TEAMS)  Jeannie Toshima; TEAMS Distance Learning, Los Angeles County Office of Education
Students choose geometry terms and create drawings of imaginary animals from those geometric shapes. In writing, they describe their appearances, behaviors, and habitats. They send their completed drawings and stories to Jeannie to include in her Geometry
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 Geometry Homepage  ThinkQuest 1997
Illustrated tutorials on many aspects of geometry, including: triangular geometry, the Pythagorean Theorem, polygonal geometry, polyhedra, and nonEuclidean geometry. Also includes a list of important geometric formulas.
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 Geometry in Motion  Daniel Scher
Direct interaction with geometric diagrams, courtesy of JavaSketchpad. The contents include a variety of curvedrawing devices (Intersecting Circles, Falling Ladder, Van Schooten's Parabola, and more); also other activities such as Constant Perimeter
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 Geometry of Fullerenes  Slavik Jablan, Mathematical Institute, Belgrade
Fullerenes (Buckminster Fuller) are considered from the points of view of geometry, graph theory and knot theory. Contents: Introduction; General fullerenes, graphs, symmetry and isomers; 5/6 fullerenes; Knot theory and fullerenes; "Perfect" fullerenes;
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 Geometry of SelfContacting Binary Fractal Trees  Michael Frame; Union College, Schenectady, NY
Animations illustrating the constructions of binary fractal trees, with branch scaling chosen so some points of the left and right branches intersect, but only at the branch tips. The animations show how the geometry of the tree, and of the branch tips,
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 The Geometry Pages  Cathi Sanders
Illustrated essays designed to intrigue and inspire you to learn more about geometry and its many applications in art, engineering, science, and more. Includes the following topics: Lines (History, Elements of Geometry, Polygons, Tessellations); Numbers
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 Geometry  Paul Bourke
Explorations and renderings of various surfaces and forms, including knots, surfaces, 3D shapes, curves, algorithms, tilings, plexagons, etc. Formulae for Quadrics (Surfaces of degree 2); Superellipse and superellipsoid; SuperToroid (3D); Plexagons; Hexagonal
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