 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 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 In Action  David Eppstein, Theory Group, ICS, UC Irvine
A collection of applications of computational geometry: areas in which ideas from discrete and computational geometry (meaning mainly lowdimensional Euclidean geometry) meet some real world applications, with brief descriptions of those applications
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 Geometry of War  Ivars Peterson (MathTrek)
Leonardo da Vinci was not alone in his fascination with military technology. The University of Oxford's Museum of the History of Science is now featuring a fascinating online exhibition called The Geometry of War, 15001750. The 81 illustrations, accompanied
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 Geometry Out of Africa  Ivars Peterson (MathTrek)
Two recent books that introduce African geometry. Geometry from Africa, by Paulus Gerdes, shows how one can discover or derive the Pythagorean theorem from African designs, explores the role of symmetry (with suggestions for home and classroom crafts
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 Giuseppe Zito Pictures
A gallery of fractal images generated by chance from a database of around 50,000 planar dynamical systems by Zito's program, Ufattr, with some commentary.
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 The Golden Ratio  Andi, Mel, and Shuj
An introduction to the golden ratio, also known as phi: its connection to the Fibonacci sequence, related constructions (star, line segment, rectangle, and spiral), and connections to biology, history, and aesthetics. Site also includes a glossary and
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 The Golden Ratio  Blacker, Polanski, Schwach; The Geometry Center
Introduction to the Golden Ratio and Fibonacci Sequence. Instead of simply supplying definitions and asking the student to engage in mindless practice, students work through several activities to discover the applications of the Golden Ratio and Fibonacci
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 The Golden Section In Art, Architecture and Music  Ron Knott
An introduction with illustrations and references to some applications and occurrences of the Fibonacci series and the Golden Ratio in architecture, art and music. The constant Phi has been used to design architecture, from the Parthenon in Athens to
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 Goudreau Museum of Mathematics in Art & Science  Stephanie Killian
When you visit the Math Museum in New York, you can build a math model; explore games and puzzles; view exhibits demonstrating how math is used in the arts and sciences; experience challenging but nonthreatening specialized programs and workshops in math;
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 Grafica Obscura  Paul Haeberli
An evolving computer graphics notebook: a compilation of technical notes, pictures and essays. Contents include: Paper and Plotter: A 3D Surface; Laser Cutting for Rapid Manufacturing; Geometric Paper Folding: Dr. David Huffman; Paper and Light (An inexpensive
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 Greek Mathematics and its Modern Heirs  SunSITE's Vatican Exhibit; Library of Congress
Classical roots of the scientific revolution. An essay on the history of Greek Math, with sample math problems. Covers Euclid's Elements and Optics, Archimedes' Works, Piero della Francesca's De quinque corporibus regularibus, and links to Ptolemy's Geography
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 helaman ferguson sculpture  Helaman Ferguson
A mathematician sculptor whose stone and bronze artworks include "Aperiodic Penrose," the Coons Siggraph award, "Esker Trefoil Torus," "Fibonacci Fountain," "Fibonacci Tetrahedron," "Figureeight Knot," "Eine Kleine Link Musik," "Torus with CrossCap,"
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 Henry Segerman's webpages  Henry Segerman
Mathematical and typographical art "of various kinds and dimensions." See, in particular, Segerman's 3D printed sculpture, book covers and posters, diamond Go, ambigrams, autologlyphs, autological words, Escher's Printgallery, and mathart tshirts available
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 Home Pages for Developing Courses  Mathematics Throughout the Curriculum, Indiana University
Interdisciplinary courses under development and close to finished: Life Sciences (BioMath Problems, Mathematical Foundation for Speech and Hearing Sciences), Business and Economics (Games and Decision Making, Games for Business and Economics, Mathematics
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 hyperbolic surfaces  Gabriele E. Meyer
Photos of Meyer's fiber arts: Seifert surfaces, Poincaré disks, and other hyperbolic surfaces knit from yarn. For more of her fabric sculptures, visit http://www.math.wisc.edu/~meyer/airsculpt/hyperbolic1.html. Meyer, a lecturer in the Department
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 HyperGami and JavaGami  Ann & Mike Eisenberg; Inst. of Cognitive Science, Univ. of Colorado, Boulder
HyperGami and JavaGami are software environments for designing and building paper sculpture. Choose from a number of starting polyhedra, which appear in a 3D window alongside a corresponding "folding net" in a 2D window. Employ both builtin features
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 Illusions of Depth (Elementary Art Lessons, Arts Wire)  Michael Delahunt
A 3rd grade lesson plan on "Seeing Near and Far": students learn how overlapping and size differences show perspective, and that on a level surface, the lowest part of a near subject is lower in a picture than the lowest part of a farther subject, recognizing
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 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).
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 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
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 Images of Mathematicians on Postage Stamps  Jeff Miller, Gulf High School, New Port Richey, FL
An alphabetical list of mathematicians whose images appear on postage stamps (Abel, Archimedes, Cauchy, Descartes, Euler, Galois, Gauss, Kovalevskaya, Laplace, Leibniz, Newton, Pascal, Poincaré, Ramanujan, and more), with countries, dates of issuance,
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 The Image Warper (METIP)  Steve Tanimoto; Mathematics Experiences Through Image Processing
A PC program for MSWindows that supports exploratory learning and enjoyable activities involving geometric transformations and image distortion. Simple transformations such as rotation, translation or scaling can be specified with single line segmentss.
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 Imaging the Imagined  Paul Flavin
Modeling with Math and a Keyboard: the art and science of modeling; the math, theory and practice of rendering, imaging, and animation. An introduction to raytracing and the Quadric surfaces; Platonic Solids and Polyhedra; 'Tensegrity' (tension) structures;
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 IMATH  Cathleen V. Sanders
A professional development course for teachers designed to help them integrate technology and the NCTM Standards into their teaching. Although this course is only available for credit to Hawaii teachers, teachers from other states may participate in the
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 The Institute for Figuring  Margaret and Christine Wertheim, CoDirectors
"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
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 Integer Jim's Math Squad  Jim Bennett
Creative ways to use art, writing, research, and Internet projects to make math more exciting for students. The Math Squad art projects are yearlong projects; rather than "lesson oriented," they create an "adventure theme" that facilitates math instruction.
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 The Interactive Textbook for Mathematics, Physics, and Chemistry  Dept. of Physics, University of Pennsylvania
An online interdisciplinary hypertext course in chemistry, mathematics, and physics. Math as a Second Language: Working with Maple, OneDimensional Motion, Introduction to Chemistry, The Most Useful Functions for Science (exponentials, trigonometric functions,
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 International Society for Mathematical and Computational Aesthetics (ISMCA)  Prof. Michael Leyton, President (USA)
ISMCA is concerned with highlevel formal research into the structure of art works, as well as the role of aesthetics in computeraided design, scientific
reasoning, software engineering, etc. The society is a division of the International Society
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 The International Society for the Arts, Mathematics, and Architecture (ISAMA)
Furthers interdisciplinary education relating the arts, mathematics, and architecture. Conferences and membership information.
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 International String Figure Association (ISFA)
The ISFA site introduces "String figures" (designs formed from nothing more than a loop of string), with instructions on how to become a member of ISFA and information on email discussion groups and international gatherings, and links to related sites.
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 Introduction to Curve Stitching: Line Designs (SMILE)  Wilhelm L. Lilly, Kenwood Academy
A lesson designed to develop students' awareness that straight line segments can produce the illusion of a curve, and their ability to recognize and describe number patterns; and to help them experience the beauty of mathematics by introducing geometric
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 Inversions: A Catalog of Calligraphic Cartwheels  Scott Kim
The inversions gallery of Puzzlemaster Scott Kim, whom Isaac Asimov called "The Escher of the Alphabet." An inversion is a word or name written so that it reads in more than one way. Some inversions read upside down, some flip in a mirror. Some read as
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 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
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 J. Frederic Teubner, The Toymakers of JTEU  J. Frederic Teubner
See, in particular, the Reut·Reut 12x12 Transmagic Square. Also board, card, and dice games, magnets, tshirts, books and tapes, coloring books, an art gallery, and a millennium 2000 computer art calendar.
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 Justin Mullins
High resolution photography of famous math formulas, available for purchase as posters and limited edition prints.
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 K12 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 K12 level. Organized into categories: lesson plans, schools, software and other K12 Internet math sites.
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 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.
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 Kirigami  Kevin S. Whitley
Kirigami is the Japanese art of making figures out of paper by cutting. This applet lets you create similar figures on your computer by cutting a polygonal wedge from a virtual piece of folded paper. You can change the regular polygon, your wedge, and
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 The KnotPlot Site  Robert Scharein
A collection of knots and links, viewed from a partly mathematical perspective. Images on this site were created with KnotPlot, a program designed to visualize and manipulate mathematical knots in three and four dimensions. A picture gallery, description
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 Learning Network Teacher Connection  Daily Lesson Plans  New York Times on the Web
A new lesson plan each day, each based on the day's news. Math lessons explore such topics as understanding the value of numbers in the newspaper; calculating refugee camp supply costs; examining the promise and problems of an "internet time" system;
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 Leonardo OnLine  International Society for the Arts, Sciences and Technology (ISAST)
A journal founded in 1968 in Paris by kinetic artist and astronautical pioneer Frank Malina. Today, it covers the application of contemporary science and technology to the arts and music. This site includes an art gallery with texts by the artists, excerpts
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 Logical Art and the Art of Logic  Guenter AlbrechtBuehler
About pentominoes, the patterns they create, and what pentominoes have to do with Escher, Penrose, Logic, Impossible Objects, Mathematics, and Art. Download a DOS program, 'newpent.exe', that assembles (6x10) pentomino solutions manually or automatically
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 Logical Art and the Art of Logic  Guenter AlbrechtBuehler
An illustrated essay about pentominoes, flat shapes formed from five (Gr.pente = five) unit squares. Also a DOS program for pentomino solutions (6x10) and galleries of pentomino creations.
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 LowComplexity Art  Jürgen Schmidhuber
Lowcomplexity art is the computerage equivalent of minimal art (Leonardo, MIT press, 1997). A lowcomplexity artwork can be specified by a short computer algorithm. It should 'look right', its algorithmic complexity should be small, and a typical observer
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 Lsquared  Laura Shears
Educational Flash and other software to "help facilitate both necessary basic skills as well as play to figure out concepts" so that students "learn how to think about math instead of memorizing procedures": algebra, arithmetic, art, demonstration tools
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 Magic Carpet Graphics
Computergenerated artwork by a Londonbased team of artists, available for sale as highquality photographic prints at A6 A4 sizes.
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 Magische Quadrate  Paul Heimbach
Techniques for creating 4x4 and larger magic squares using masks that define areas where a specific number will or will not be added (Jupiter squares and Merkur squares, with many examples of each); art based on magic squares and other mathematical models;
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 MakeaFlake  Barkley Interactive
Make your own snowflakes online: use the Flashpowered scissors to cut along the edges of a folded piece of virtual paper. Preview the unfolded results along the way; when ready, save your design to the gallery, where you may view and download plans for
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 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/.
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 Mandelbrot Exhibition  J. P. Bowen; Virtual Museum of Computing
Links to to material on Mandelbrot sets and related fractals. Historical background; introduction to the Julia and Mandelbrot sets; interactive explorers and generators of images; movies and galleries; and an Image Archive.
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