Mathartfun.com Shop for learning products that combine math and art. Includes puzzles, manipulatives, fractals, kaleidoscopes and paper folding and books. http://redirect-west.inktomi.com/click?u=http://www.looksmart.com/og/pr%3Dcdd%3B
Extractions: Virtual Polyhedra - Die Enzyklopedie der Polyeder, auch viele Geometrie-Links ! (en). Tore Nordstrand Xah: Mathematics Graphics Gallery Eine systematische Galerie mit detailierten Beschreibungen von mathematischen Grafiken. Parkettierungen, Musterungen, Kurven, Schleifen. Tom Longtin - 3D Modeling, Visualization and Illustration
Space Spacial Patterns fractals fractals From CoolMath4Kids. Pattern Blocks TessellatedPolyhedra Nets to print from Invesigating Patterns by Jill Britton. http://www.argotlibrary.com/maths_space.html
Books fractals. fractals The Patterns of Chaos A New by John Briggs. Chaosand fractals New Frontiers of by HeinzOtto Peitgen, Dietmar Saupe. http://geometricarts.freeyellow.com/books.htm
Extractions: Welcome to my little bookshop.I have tried to compile some useful books to help you to enrich your understanding of geometry and to get full enjoyment out of this wonderful arena: Geometric Arts. Good hunting! Index Op art (optical art) Escher Geometry Fractals ... Geometrical Patterns Fractals Fractals : The Patterns of Chaos : A New... by John Briggs Scientists have discovered that systems in transitional states between order and chaos possess certain patterns with unique, predictable qualities. These patterns are called "fractals." In essence, they are visual images or pictures of chaos at work. Now comes a breathtaking visual tour of this exciting new scientific frontier. 207 photographs, 178 in full color; 49 line drawings Chaos and Fractals : New Frontiers of... by Heinz-Otto Peitgen, Dietmar Saupe Fascinating and authoritative, Chaos and Fractals: New Frontiers of Science is a truly remarkable book that documents recent discoveries in chaos theory with plenty of mathematical detail, but without alienating the general reader. In all, this text offers an extremely rich and engaging tour of this quite revolutionary branch of mathematical research. The Computational Beauty of Nature :...
Links The Four Types of Symmetry in the Plane, fractals Popularized and immortalizedby a Dutch artist MC Escher, who died only recently. Books on fractals. http://geometricarts.freeyellow.com/link.htm
Extractions: With the increasing amount of new websites dealing with geometry pouring into the cyberspace every day, I have tried to compile some noteworthy sites that gives me some sort of serendipity. I do hope that you find them intriguing, too. If you have good noteworthy sites that should be listed here or have any problems with the links above? Please report it here. Table of Contents Geometric Sculptures Optical Art Geometrical Patterns Fractals ... Miscellaneous Geometric Sculptures: These are the sites I draw enormous pleasure out of. They deal with unusual mathematical sculptures that titillate your imagination. I am personally inspired by some of their works. Brent Collins For many years, Collins has created sculptures composed of saddle surfaces George .W Hart A sculptor of constructive geometric forms John Robinson Symbolic Sculpture Carlo H. Sequin
Extractions: Geometric descriptions for all 6 plaonic solids in 4 dimensional space. 4D Objects in VEF format Index Geometry formats Data Formats Fractals, Chaos Rendering Radiance PovRay OpenGL Modelling Terrain Geometry Projections Curves Surfaces Polyhedra Stereographics Colour Textures Papers Analysis Skytower Albert Park Fun Puzzles Other for New: Fractal dimension calculator
Extractions: Box counting software for the Macintosh and Linux. Ruler or Compass Dimension Recurrence plots 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? The real world was full of larger structures, smaller structures, simpler and more complex structures than the tiny portion comprising sentient creatures and their societies, and it required a profound myopia of scale and similarity to believe that everything beyond this shallow layer could be ignored.
Extractions: Search ... Ask ENC Explore online lesson plans, student activities, and teacher learning tools. Search Browse About Curriculum Resources Read articles about inquiry, equity, and other key topics for educators and parents. Create your learning plan, read the standards, and find tips for getting grants. URL: http://mathforum.org/alejandre/index.html
ENC: Web Links: Digital Dozen: Archive: August 1996 links to other sites with fractals, how to make fractals, and teachers Virtual polyhedraGrades Kindergarten 12 Synopsis Welcome to this growing collection http://www.enc.org/weblinks/dd/archive/0,1577,8-1996,00.shtm
Extractions: Skip Navigation You Are Here ENC Home Web Links Digital Dozen Archive ... Frequently Asked Questions Find detailed information about thousands of materials for K-12 math and science. Read articles about inquiry, equity, and other key topics for educators and parents. Create your learning plan, read the standards, and find tips for getting grants. Current and past selections of exemplary sitesbrowse month by month through every year. When sites are no longer available, they are not listed as Digital Dozen winners. August 1996 A fractals lesson for elementary and middle school students
3. The Five Platonic Fractals Transition probabilities 3. The Five Platonic fractals. As we notedabove, different values of give different fuzziness. To produce http://www.cassiopaea.org/quantum_future/papers/qfract/node10.html
Extractions: Next: 1. Tetrahedron Up: Quantum Jumps, EEQT and Previous: 5. Transition probabilities As we noted above, different values of give different fuzziness. To produce representative pictures, one for each solid, we adjusted so that, as a rule, the more vertices, the higher value of - thus higher resolution of details. While rendering the pictures, for obtaining grayscale value for a given picture we were using either the formula or, to get more details at the peak values, even
Extractions: I hope you find what you're looking for or something else that interests you. These pages come in a number of flavours: reports on projects I've been involved in, notes that I've put on the WEB instead of in a paper notebook, tutorials to assist others get started in various technical areas, papers that I've published or collaborated on, various image galleries, and finally some pages that are simply for amusement. Geometry formats Related Entries CAD package written in Python Mar 03, 2003 Blender 2.26 is out first GPL version Feb 13, 2003 OpenEXR is high dynamic-range 16-bit floating-point pixels format Feb 02, 2003 DivX 5.3 is out :: for Win32 Jan 25, 2003 JPhotoBrush Image Editing Tool :: java image manipulation Jan 19, 2003 Snowflakes from Fractal Patterns Dec 28, 2002
Grain Structures It was found out, that the stochastic net of Voronoi polyhedra satisfies the stereologicalprinciple of geometric model correspondence with the real object. http://siams.com/modeling/ngrgr/thdgr/default.htm
Extractions: Close Packings Sintering Grain Structures Fractals ... Contact us Three-Dimensional Geometric Monocrystal Structure. Authors: Alievsky D.M., Kamenin I.G., Kadushnikov R.M., Alievsky V.M. The problem is linked with building the three-dimensional geometric monocrystal structure in the material science. It was found out, that the stochastic net of Voronoi polyhedra satisfies the stereological principle of geometric model correspondence with the real object. The distribution law of the polyhedra characteristic sizes is linked with the spheres diameter distribution law. This law gives a possibility to perform the three-dimension statistical reconstruction of the microstructure in correspondence with the known function of the grain size distribution on the ground edge. Computer realization of these models allows to effectively perform the statistic analysis of the polyhedra structures with the purpose of checking their adequacy to the real materials and serves as an initial base for calculating the geometric structure for the material with the specified properties. We consider 2 kinds of skeletal model based on Voronoi polyhedra and 3D Delaunay triangulation. These geometrical concepts are some generalization of the classic concepts described, for example, in Preparata, Shamos, 1985. These models allow to transit from the set of spheres to polyhedral description of the system naturally.
AM I'm sorry, but I can't provide any Escherlinks. Math art gallery VirtualPolyhedra See also fractals. Associations. See Organisations. Awards. http://cage.rug.ac.be/~hvernaev/catA-M.html
Extractions: The Math Catalog: A-M A-M N-Z The Axiom of Choice (from the Math-FAQ) Pi ( History from the Math-FAQ The Gauss-Legendre Algorithm to compute digits of pi (a local version is behind this button) See also: Number Theory Topology Programs Famous Curves Some special numbers and functions (from the Math-FAQ) Archive See also: Nonstandard Analysis Programs All links to Escher I'm sorry, but I can't provide any Escher-links. Math art gallery Virtual Polyhedra See also: Fractals See: Organisations Fields Medal (from the Math-FAQ) Fields Medal (from the University of Toronto) See: Elementary Mactutor History of Mathematics The World Great Mathematicians See: Publications See: Analysis Introduction to ~ See also: Fractals The Electronic Journal of Combinatorics See also: Games Cray MathPro Press (obsolete?) MathSoft MathWorks TCISoft Texas Instruments See: Contests See: Programs Kiran's Math Page (contains links to Math olympiads and contests) Links to See also: Olympiads See: Glossary See: Glossary ~ index A newspaper-article about Fermat's Last Theorem University Of Nijmegen University Of Twente An excerpt from questions (mostly) from the Dutch Math Olympiad Pythagoras -magazine Prime numbers (introduction to number theory) Mega Math (elementary introductions to mathematical items, for educational purposes)
Mathematics For The Non-Mathematician but dont be surprised if youll need to look elsewhere to find out what fractalsactually are. Peter R. Cromwell, polyhedra, Cambridge University http://math.bard.edu/bloch/biblionm.htm
Extractions: An Idiosyncratic Annotated Bibliography Ethan D. Bloch General A wonderful mix of mathematics, philosophy, history of mathematics, and what might be called the psychology of mathematics as currently practiced by working mathematicians. This is one of the few books that really shows a non-mathematical audience what it's like to do serious mathematics. The authors do get involved with philosophical issues most mathematicians do not get worked up about, and it's worth keeping that in mind when reading the philosophical parts. It's also worth slogging through any technical points for the overall richness of this book. An outstanding book covering much of mathematics in both ancient and modern times. The book discusses historical and philosophical issues without neglecting more traditional mathematical ones. Some of the interesting chapters include 8 (Ancient Greece), 10 (Renaissance Painting), 11 (Projective Geometry) and 24 (Music). Read the rest of the book while youre at it. Kline has a similar book in a Dover edition. Ivars Peterson, The Mathematical Tourist, W. H. Freeman, 1988.
Suzanne Alejandre - Fractal Links Basic fractal information for the math teacher or interested user, with Internet resources to expand your fractal knowledge. http://forum.swarthmore.edu/alejandre/workshops/fractal/fractal3.html
Extractions: "There are many mathematical structures that are fractals; e.g. Sierpinski triangle, Koch snowflake, Peano curve, Mandelbrot set, and Lorenz attractor. Fractals also describe many real-world objects, such as clouds, mountains, turbulence, and coastlines, that do not correspond to simple geometric shapes." This Fractal FAQ was created and edited by Ken Shirriff through September 26, 1994. The current editor is Ermel Stepp. "Basically, a fractal is any pattern that reveals greater complexity as it is enlarged. Thus, fractals graphically portray the notion of 'worlds within worlds' which has obsessed Western culture from its tenth-century beginnings."
Extractions: October 12, 2002: RLM 4.102 Dr. Chaim Goodman-Strauss (the original founder of SMMG along with Karen Uhlenbeck), "Up to 1,000,000 Dollars in Prize Money Will Be Given Away!" (see the poster For more information on Game Theory, visit Clever Games for Clever People The Game of Life Another explanation of the Game of Life , and Gametheory.net for lots of games, links, resources, and more on game theory.
