 Differential Geometry (Graphics Archive, Special Topics)  The Geometry Center
Using differential calculus to study curves and surfaces in space.
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 Differential Geometry Images  Walter Seaman
Animations of differential geometry topics: images constructed by Seaman using the programs in Modern Differential Geometry of Curves and Surfaces with Mathematica (Second Edition) by Alfred Gray. Topics include: Curves with prescribed curvature and torsion;
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 Discovering Polygons and Polyhedra  Paul Scott; applets by Bob Allanson
To encourage exploration of polygons and polyhedra in an interactive way, and to appreciate their
beauty. The site contains many diagrams and applets, and invites readers to explore and find
answers for themselves.
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 Distance Calculus @ Suffolk University  Suffolk University and MathMonkeys, LLC
Calculus on the Web. Contents include: PreCalculus (functions, algebra, trigonometry); Calculus Topics (differential and integral calculus, sequences and series, multivariable calculus, differential equations); Assistance (student, instructor); Curriculum
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 Domebook  Tom Camilli
Cardboard and transparent plastic geodesic domes built by children. Students start by constructing paper models, then apply scale factors to construct domes of any size using cardboard or wooden dowels and plastic sheeting. See pictures of classroom projects;
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 Doug's Home Page  Douglas J. Ingalls
Includes mathematical interests such as images of fractal applications of Newton's Method and Gibb's Phenomena, with related programs in FORTRAN and BASIC, a discussion of the apparent depth problem in optics, and how multiple decisions can be reduced
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 Drawing a Crop Circle  IES Ramon Cabanillas (Cambados, Pontevedra, Spain)
To draw a crop circle, the high school students at IES Ramon Cabanillas (Cambados, Pontevedra, Spain) calculated ellipses and discovered the pentagram's relation to the golden mean. This website details their designs, practice, calculations, and final
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 The Dynamical Systems and Technology Project at Boston University  Robert L. Devaney; Dept. of Mathematics
An NSFsponsored project designed to help secondary school and college teachers of mathematics bring contemporary topics in mathematics (chaos, fractals, dynamics) into the classroom, and to show them how to use technology effectively in this process.
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 Dynamical Systems (Graphics Archive, Special Topics)  The Geometry Center
Modeling the timeevolution of the state of a physical system of quantities, attempting to understand all possible longterm behaviors.
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 Dynamical Systems on the Torus  Paul Trow
An illustrated essay introducing dynamical systems on the torus.
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 EarthKAM  Sally Ride Science
An educational outreach program of the National Aeronautics and Space Administration (NASA), EarthKAM stands for "Earth Knowledge Acquired by Middle school students." Search the collection of images of specific locations on Earth, as photographed from
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 Educational Interests  Keith Lynn
See, in particular, Lynn's Math Modeling Project, which features Java applets to produce quadratic and sine examples; and Dynamics Project, on the Julia and Mandelbrot sets.
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 EG Models (Electronic Geometry Models)  Michael Joswig, Konrad Polthier
A refereed archive of interesting geometric examples and visualizations, open for any geometer to publish new geometric models, or to browse the models for material to be used in education and research. The geometry models cover a broad range of mathematical
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 The Electronic Encyclopedia of Statistical Exercises and Examples
Supplementing introductory textbooks, the Electronic Encyclopedia of Statistical Exercises and Examples (EESEE) comprises over 80 "realworld" stories, or examples, about the uses and abuses of statistics and statistical inference, drawn from published
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 Elements Of Design  Colleen Deery
Explore galleries of fractal art by artist Colleen Deery.
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 Erich's Packing Center  Erich Friedman
A huge collection of packing problems, each explained with graphics. 2D examples include Triangles in Squares, Circles in Squares, Squares in Squares, Triangles in Triangles, Circles in Triangles, Squares in Triangles, Triangles in Circles, Circles in
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 Escher and the Droste effect  B. de Smit and H. W. Lenstra Jr., Mathematisch Instituut, Universiteit Leiden, the Netherlands
Applying mathematics to Escher's Print Gallery. A mathematical analysis of Escher's "The Print Shop," including an image of the original print. See the article (PDF format) Artful Mathematics: The Heritage of M.C. Escher in the Notices of the AMS, bringing
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 Escher Tiles  Hop David
Tessellations that resemble recognizable objects, created by the author in the style of M. C. Escher.
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 Everywhere, Butterflies
A gallery of fractal pictures created using Sterling, a shareware program by Stephen Ferguson.
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 Exit 10A  Joe Schwartz
"Trying to make math meaningful in an elementary school somewhere off the New Jersey Turnpike." Posts, enlivened by classroom photos, date back to December, 2013: "A Mathematician's Lament," "Building Number Sense," "Fun and Games in Fifth Grade," and
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 Exploring the Euler Gamma and Riemann Zeta Functions  Sjoerd J.Schaper
A graphic Euler gamma and Riemann zeta explorer, built around the binomial version of Peter Borwein's "An Efficient Algorithm for the Riemann Zeta Function" (1995). The program plots function values on the real line, draws Argand diagrams of the mapping
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 Faceted Objects: Tanks to Teapots  Paul Flavin
A "Tiny Library of Faceted Surfaces." Cube, Venus de Milo Statue, Utah Teapot, M1 Tank, Ludwig Beethoven, magna Girl. For each object the format, number of vertices, number of facets, geometry (shape), bytes, and filename are listed.
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 FAME (Fractal Art Museum Enterprise)  Joseph Trotsky, Director
A display of fractals by hundreds of artists. The site hosts permanent expositions, along with thematic and periodic exhibitions, annual contests, papers on fractal theory, software and tutorials for making fractals, and more.
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 Famous Curves Applet Index  MacTutor Math History Archive
From Astroid, Cardiod, Catenary, and Cayley's Sextic to the Trisectrix of Maclaurin, Tschirnhaus' Cubic, Watt's Curve, the Witch of Agnesi  and many more  click on the name of a curve to experiment with some of its associated curves.
(Your browser
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 Famous Curves Index  MacTutor Math History Archive
Links to pages illustrating more than 60 mathematical curves, with information on their history and associated curves. Anyone with the Mathematical MacTutor system or a Javaenabled browser can investigate these curves and their associated curves interactively.
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 Fantastic Fractals  ThinkQuest 1997
All about fractals: including: fully interactive fractal tutorials, a gallery, landscapes, music, a reference desk and types of fractals, downloads, a fractal workshop (build your own fractals), a fractal challenge (test yourself  how much have you learned
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 Fast Marching Methods and Level Set Methods  J. A. Sethian, University of CaliforniaBerkeley
Fast Marching Methods and Level Set Methods are numerical techniques that can follow the evolution of interfaces. These interfaces can develop sharp corners, break apart, and merge together. The techniques have a wide range of applications, including
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 A Faulty Dissection  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A deceptive dissection implemented in Java. Two different rearrangements of the same four plane pieces result in rectangles of different area. A very entertaining introduction into the subject of Fibonacci numbers.
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 Fibonacci  James Grant
Pages about Fibonacci the mathematician, the sequence that bears his name and its relationship to the Golden Ratio, as well as how the Fibonacci numbers occur in nature.
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 The Fibonacci Series  Matt Anderson, Jeffrey Frazier, and Kris Popendorf; ThinkQuest 1999
The Fibonacci Series is deceptively simple, but its ramifications and applications are many. Learn more about the Fibonacci Series itself: an introduction, the rabbit problem, Binet's formula, the successor formula (given only one term in the Fibonacci
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 FifthGrade Empathy ... For Plants  William E. Ray; Kodak
Children were introduced to this project by taking them outside Pinoak Elementary School, Oil City, PA, in March and having each pair of them select a living
plant specimen. Buds were noticed as being a part of each plant and were the plant parts which
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 Filmer V2.0  A program for creating fractal animation  Julian Haight
Filmer is a frontend program for Fractint (for DOS/Windows) that generates fractal animations. Fractint is a program for calculating still fractal images (you need Fractint installed to use Filmer). Filmer uses Fractint parameter (.par) files to specify
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 FiveThirtyEight  Nate Silver, Editor in Chief
Quantitative features, interactives, and "datalabs" on politics, economics, sports, and other topics by Silver, Carl Bialik, and others. Science posts have included "How Statisticians Could Help Find That Missing Plane," "Toilet Seat Covers: To Use or
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 Flags  Jim Croft
Links to information about and images of flags of the world: National Flags, International Maritime Signal Flags, Motor Racing Flags, the Semaphore Flag Signaling System, and others, good for exploring symmetry in flag design.
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 Flip Flop Fly Ball  Craig Robinson
"A love of baseball plus a love of visual representations equals Flip Flop Fly Ball." Robinson's infographics include Diamonds in Manhattan, a map of every baseball or softball diamond on the island of Manhattan; Baserunning, which puts into perspective
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 FlowingData  Nathan Yau
FlowingData explores how designers, statisticians, and computer scientists use data to understand ourselves better  mainly through data visualization. This blog, by a PhD candidate in statistics with a background in computer science and design, dates
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 Folding and Unfolding  Eric Demaine
A series of pages detailing research and findings in origami, including: fold and cut, folding silhouettes and wrapping polyhedra, map folding, unfolding polyhedra, folding polygons into polytopes, linkages, protein folding, hinged dissections, hyperbolic
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 Fractal Alhambra  Philip Northover
Galleries of fractal art, in an array of sizes and colors. Fractal prints for sale, and MP3s of fractal music.
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 FractalArt.com  Fractal Art Designs, LLC
Purchase original color digital prints of ultrahigh resolution fractals by Andrew Ryan or Bryan Berman from this fractal art gallery.
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 Fractal Art, etc.  Linda
Fractal fantasies produced using Flarium or KPT Fractal Explorer2.0 and KPT filters, postprocessed in Photoshop.
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 Fractal Art: Fractals produced with FRACTINT  Balraj Mehmi
A fractal art gallery containing fractals produced with the shareware program FRACTINT (downloadable from the site), with links to other sites with fractal pictures and to information on fractals and their origin.
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 Fractal Art Gallery  Fractal Image Wallpaper  Victoria B Brago
Extensive collection of fractal images which can be downloaded as desktop
wallpaper, technical explanation of fractal geometry, animated fractal
zooms.
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 A Fractal Art Gallery  Ken Keller
Exploring the boundary between creation and discovery  galleries of fractal images.
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 Fractal Arts  Doug Harrington
View the gallery of fractal images and "Fractal of the Week"; investigate the tutorials for TieraZon, a freeware fractal graphics program by Stephen Ferguson; download fractal screensavers (shareware); consider ordering prints of fractal images.
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 Fractal Clouds  Robert F. Cahalan
Information on the fantastic variety of cloud forms and structures, and their implications for climate. Albedo (abstract of a short technical paper for downloading); authors of papers on fractal clouds; cloud types and associated geometry, processes,
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 Fractal Dimension Calculator (FDC) User Manual  Paul Bourke
FDC takes a black and white image in the form of a Macintosh PICT file or clipboard contents and uses the boxcounting algorithm to estimate the fractal dimension of the object represented in the image. The "object" is assumed to be the black part of
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 frActAles  Philippe de Courcy
450 fractal images, sorted into categories. Site is available in English and French.
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 Fractal Explorer Kit  Tom Harrington
Java applets show fractals based on the Mandelbrot Set, the Julia Set, and Newton's method. Pictures grow more detailed in a series of iterations; zoom in to see a closeup of the center. A brief FAQ explains the methods behind these different types
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 The Fractal Gallery  David ChattinMcNichols
Galleries of fractal images, updated weekly. Also at http://www.crosswinds.net/~davidcm/.
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 Fractal Gallery  Karen McCormack
Images, 19982000. Quaternions, Symmetric Icons, Flame Fractals, Secant City, Ikenaga's Garden, Fractals with Russell, Fractal Eggs, Filatura.
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