Amy's Geometry 6-8 Web Links What are fractals, anyway? Here's a site to help kids really understand the propertiesof fractals and how different types are formed. Virtual polyhedra http://teams.lacoe.edu/documentation/classrooms/amy/geometry/6-8/web/web.html
Extractions: California Mathematics Standards Links to adopted core academic content standards in the areas of English-language arts, mathematics, history-social studies and science. Fractals Interactive Mathematics Puzzle Parlor Twelve interactive online games from the puzzle makers at Kadon Enterprises, Inc. designed to give students practice with problem solving skills using mathematical and spatial sense intelligence. Virtual Polyhedra Return to the top This math unit on tangrams was created by Tom Scavo for the Math Forum at Swarthmore University.
Math Topic URL http//spanky.triumf.ca/ Spanky WelcomeThis site has all the information youneed for integrating fractals into your curriculum. Back to top. polyhedra. http://home.golden.net/~gvma/links_mt.html
Extractions: Calculus Graphics-Douglas N. Arnold -This web site contains online multimedia representations of the basics of calculus. It covers topics such as the definition of the derivative, limits and differentiability, and integrating for volumes of 3-D surfaces. URL: http://dept.physics.upenn.edu/courses/gladney/mathphys/Contents.html
Products fun! Tessellations, polyhedra, fractals, MC Escher, Tangrams dissections,Kaleidoscopes symmetry, Paper folding and more Buy http://www.hoagiesgifted.org/products.htm
Extractions: Hoagies WWW Don't miss Smart Toys - perennial favorites of gifted kids, Movies - featuring gifted kids in a positive light, and Nerd Shirts - those shirts we love to wear! Create the number 24 from the four numbers on a game card. You can add, subtract, multiply and divide. Use all four numbers but use each number only once. Available from simple addition and subtraction, right up to fractions, decimals and algebra. Click for 24 Challenge tournament schedule...
Tessellations' Ordering Page Mathartfun.com carries a variety of books, puzzles, posters, videos and softwarerelated to tessellations, polyhedra, fractals, kaleidoscopes, anamorphic art http://members.cox.net/tessellations/Ordering.html
Extractions: If you are interested in purchasing online, we recommend our sister company, Mathartfun.com. In addition to Tessellations' products, Mathartfun.com carries a variety of books, puzzles, posters, videos and software related to tessellations, polyhedra, fractals, kaleidoscopes, anamorphic art, and more! Click on the logo below to go to Mathartfun.com.
This Page Is Your Entrance To Interesting Animations Applets - Iterated Function System fractals 2; Multiple Reflections in Mirrors. depicts anobject and Riggs and Jones Smith animations of 3D and 4D polyhedra rotations http://www.warren-wilson.edu/~fsolomon/MAT112IntroPage
Extractions: The next animation allows construction of Iterated Function System type fractals. The directions are figure-outable while running the applet, but you may have to experiment some. Ask Fred Solomon for a written handout that covers in more detail the notation. Once you enter the MAIN SCREEN, you can press the box on the far right of the MAIN SCREEN to retrieve predefined fractals. Two of them are by WWC's own Ginevra Clark.
GREEN EGGS REPORT For Sci.fractals Set I; Fractal polyhedra; Fractal Terrains in Bryce 2; Fractal TutorialIntroduction Amazing Seattle fractals! Fractal eXtreme Mandel http://ibd.ar.com/ger/sci/fractals/content.html
Www.fractal3D.com FAQ 3D IFS fractals are 3D analogous to 2D IFS fractals using polyhedra insteadof polygons. ie Menger sponge is 3D analogous to Sierpinski Carpet. http://www.fractal3d.com/faq/faq.shtml
Extractions: What is a fractal? Fractal is a word invented by Benoit Mandelbrot to specify the complicated phenomena of shapes with self-similarity. According Benoit Mandelbrot words in his book, The Fractal Geometry of Nature, "I coined fractal from the Latin adjective fractus. The corresponding Latin verb frangere means "to break:" to create irregular fragents. It is therefore sensible - and how appropriate for our needs! - that, in addition to "fragmented" (as in fraction or refraction), fractus should also mean "irregular," both meanings being preserved in fragment." Other descriptions on fractals can be found from the following links: http://www.faqs.org/faqs/sci/fractals-faq/ sci.fractals FAQ (Q2: What is a fractal?) http://mathworld.wolfram.com/Fractal.html fractal: ERIC WEISSTEIN'S world of MATHEMATICS What is fractal3D? Fractal3D (www.fractal3D.com) is the world's first web site which provides information and products of great new finding 3D quasi-fuchsian fractals in pure mathematics. What is quasi-fuchsian fractals?
MATH LINKS Resources fractals; JAVA 3D Viewer; Mandelbrot and Julia Set Explorer; MandelbrotExplorer; Origami Mathematics Homepage; Play a Piano; polyhedra Gallery at Coolmath http://www.emtech.net/math2.htm
Extractions: Geometry ... Algebra for Everyone Homepage - Carnegie Mellon University, PACT Center Algebra Online Algebra Review An undergraduate Linear Algebra course Commutative Algebra ... Calculus Applied to the Real World - Hofstra Calculus Computer Lab - Hawaii Calculus Graphics CALCULUS I WITH MAPLE V calculus@internet Damping Functions at Coolmath.com ... Aalborg University, Denmark - Mathematics and Computer Science. ActiveMath - Workshops and Seminars for Grades 3-12 Math Teachers. American Mathematical Society AMERICAN MATHEMATICAL SOCIETY (AMS) AMS gopher AMS: Combined Membership List (AMS, MAA, SIAM, AMATYC) ... Argonne National Laboratories - Mathematics and Computer Science Division. Artificial Life, Santa Fe Australian National University, Australia - School of Mathematical Sciences. Binghamton University / SUNY at Binghamton - Mathematical Sciences Department. Bowling Green State University - Department of Mathematics and Statistics. Brigham Young University - Mathematics Department. C I R L - Public Home Page Calculator and Techology Links for Math Education Calculators Online Caltech - Applied Mathematics Department Center for Statistical and Mathematical Computing, Indiana University.
Web Resources: Teens: Homework - MCPL Lessons on tesselations, polyhedra, fractals, etc. Also, supercool demos. andbrain-benders. Author CoolMath.com, Inc. (38 hits) Education Resources new! http://www.mcpl.lib.mo.us/Links/Teens/Homework/
Extractions: This paper is cited in the following contexts: Hyperbolic Structures on the Complements of Selected Fractals - Schwartz (2001) (Correct) ....of one variable, a homology argument, and some cut and paste geometric topology. At the heart of our proof are two technical results, the Tiling Realization Theorem and the Tinkertoy Theorem. See x3.2 and x3.3. These results concern patterns of circles in the punctured plane. Compare [L] and [R] for some related results on circle patterns. This paper is organized as follows: In x2 we give several alternative definitions of horodisk quotients, and recall the material from [S3] which is needed for this paper. In particular, we give a heuristic proof of the Main Result from [S3] In x3 we ....
Extractions: On Indexing Large Databases for Advanced Data Models - Samoladas (Correct) ....The R tree was empirically shown to improve search performance by up to 50 , compared to the basic R tree. Also , space utilization was improved. The P tree In many R tree variants, the predicates describing tree nodes are (hyper) rectangles. A notable exception is the P tree of Jagadish [ ] In the P tree, a node s predicate can be an arbitrary polyhedron. This approach can substantially improve the approximation of the contents of a node. In the experiments reported in [Jag90] it was found that 10 gons are a good choice for two dimensional data. A drawback of the approach is that ....
DISCUSSIONS INDEX of irregular fractals and how the scale is indeterminite in these fractals. polyhedra,Questions about dice lead to a discussion of polyhedra and geometric http://www.shodor.org/interactivate/discussions/
Extractions: These discussions are designed to give teachers ideas for how to introduce or explain a concept with a student or with a class. Informal and formal definitions of concepts as well as common student misconceptions are included in the dialogue. These discussions are best accessed from the lessons in which they are used, but are listed here for quick reference. Teachers who develop discussions similar to these for other topics are encouraged to submit them to the Project Interactivate. Contact the Project Interactivate Team for details. They are arranged according to the NCTM Principles and Standards for School Mathematics and the NCEE Performance Standards for Middle School Number and Operation Concepts (NCTM Content Standard and NCEE Standard M1) Geometry and Measurement Concepts (NCTM Content Standards and NCEE Standard M2) Function and Algebra Concepts (NCTM Content Standard and NCEE Standard M3) Probability and Data Analysis Concepts (NCTM Content Standard and NCEE Standard M4) Search Interactivate
Some Common Themes In Visual Mathematical Art These include polyhedra, tessellations, impossible figures, Möbiusbands, distorted or unusual perspective systems, and fractals. http://members.tripod.com/vismath6/fath/
Extractions: 1. Introduction Historically, mathematics has played an important role in visual art, particularly in perspective drawing; i.e., the means by which a three-dimensional scene is rendered convincingly on a flat canvas or piece of paper. Mathematics and art are two seemingly disparate fields according to contemporary views, the first often considered analytical and the second emotional. Mathematics does not play an overt role in most contemporary art, and in fact, many artists seldom or never employ even perspective drawing. However, there are a number of contemporary visual artists who make mathematics a focus of their work. Several notable figures in history paved the way for these individuals. This paper is intended to some degree to serve as an introduction to the Exhibit of Visual Mathematical Art held as part of Bridges 2001. The examples given here are taken for the authorÂ’s convenience from a limited set of artists. The choice of works is by no means intended to be a representative sampling of artists working in this area.
Journal Of Electronic Imaging, July 1995, Vol. 04(03) anisotropy, polyhedra should be close to regular in shape; and (7) polyhedra shouldbe Paper 93064 Image encryption method using a class of fractals, pp.251 http://www.spie.org/web/journals/jei/jei_jul95.html
Extractions: ISSN: 1017-9909 Abstracts for the papers in this volume are located in this file immediately following the contents list below. All papers are copublished by SPIEThe International Society for Optical Engineering (P.O. Box 10, Bellingham, Washington, 98227-0010, USA) and (7003 Kilworth Lane, Springfield, VA 22151, USA). To order books from SPIE, call 360/676-3290, fax 360/647-1445, e-mail bookorders@spie.org , or telnet to spie.org, login SPIE and choose PUBLICATIONS SEARCH on the menu. To order papers, call SPIE Document Express at 360/676-3290 (note paper title, volume and page numbers) or e-mail doc_express@spie.org. SPIE Abstracts Online is a service provided free of charge by SPIE to members of the optics community. We are interested in your comments and suggestions. Please direct these, as well as any questions regarding the service, to net-abstracts@spie.org. for personal use only. No part of this database may be downloaded, reproduced, or distributed in any form, or by any means, or stored in or transferred to any other database or retrieval system for commercial purposes or for access by multiple users without written permission from SPIE. Contents: Performing color space conversions with three-dimensional linear interpolation (Paper #: 94-027) Image encryption method using a class of fractals (Paper #: 93-064) Application-specific integrated circuit based image processor and its simulated results (Paper #: 93-059)
DISCUSSIONS INDEX Dimension for Irregular fractals, Looks at random fractals and how selfsimilarityis generalized. polyhedra, Questions about dice lead to discussion of polyhedra. http://www.ecu.edu/si/cd/interactivate/discussions/
Extractions: These discussions are designed to give teachers ideas for how to introduce or explain a concept with a student or with a class. Informal and formal definitions of concepts are given. Common student misconceptions are pointed out as well. Teachers might have students read them or, more commonly, use ideas from them to guide class discussions. They are arranged according to the NCTM Principles and Standards for School Mathematics and the NCEE Performance Standards for Middle School Number and Operation Concepts : Includes working with fractions and decimals, clock arithmetic, and finding number patterns. (NCTM Content Standard and NCEE Standard M1) Geometry and Measurement Concepts : Includes basic notions of lines, rays and planes, working with tessellations, fractals. (NCTM Content Standards and NCEE Standard M2) Function and Algebra Concepts : Includes an introduction to functions, special properties of linear functions, graphs and the coordinate plane, and reading graphs. (NCTM Content Standard and NCEE Standard M3) Probability and Data Analysis Concepts : Includes an introduction to probability, conditional probability, sampling, expected value, statistics, histograms, boxplots, and the normal curve. Also includes statistical simulations.
POLYHEDRA Returning this series to an octohedron three times the edge length of thestarting octohedron. Selfrepeating, like fractals. MPEG- 141 kbytes. http://euch3i.chem.emory.edu/proposal/www.pandragon.com/polyhedra/tetraocto.html
Mathematics Special Interest Groups Fractal microscope; Fractint; The fractory; fractals a la INRIA; Julia and Papermodels of polyhedra; Pavilion of polyhedreality; polyhedra; Regular Polytopes http://math.haifa.ac.il/math-special.html
Extractions: Algebraic Approach to Performance Evaluation of Discrete Event Systems (ALAPEDES) ... Categories Cellular automata resources Combinatorics Commutative algebra resources ... Complex analysis home page in Japan Complexity resources Computational fluid dynamics Computational geometry resources Discrete event simulation Dynamical systems resources Economic and game theory ... Electronic Colloquium on Computational Complexity Elliptic curve theory Entropy on the World Wide Web Erich's combinatorial geometry page ... Fixed point theory on the web The Four Color Theorem
MATH3050.06 Projects. ,. Other topics which are now being investigated polyhedra with connections Hereis an interesting web site; fractals, with a series of web site as auxiliary http://www.math.yorku.ca/Who/Faculty/Whiteley/projects.html
Extractions: Check the information on the next page One project on the geometry of Origami was presented in December. Core resources for people who want more information are: Other topics which are now being investigated: polyhedra: with connections to duality, generation etc. Here is a web site of tesselation pages at the Math Forum. symmetry in music (composers of modern music ... ) symmetry in architecture, design, nature .... One web resource is the pages of Goodman-Strauss central place theory (an geometric pattern in the location of towns, villages, etc. studied in geography); the geometry of string patterns and envelopes of curves;
Fall, 2002 Classes - Delene Perley Topics selected from voting methods, apportionment, money, paths and networks, tilingsand polyhedra, fractals, codes, game theory, environment, and math as http://faculty.millikin.edu/~dperley/fall02.htm
Thomas Ruedas - Mathematics Link List Chaos/fractals fractals ; Topics in mathematics fractals; The Chaos Homepage;The Chaos Numbers and the Golden Section; The Uniform polyhedra; Symmetry, Crystals http://www.geophysik.uni-frankfurt.de/~ruedas/links-math.html
Extractions: Link pages: Essays and Tutorials SOS Math Mathematical Formula Collection (german) Analysis WebNotes by John Lindsay Orr Books on numerical methods for eigenvalue problems and iterative methods for linear systems by Yousef Saad The Matrix Manual Matrix Analysis and Applied Linear Algebra by Carl D. Meyer The Statistics Homepage Introductory Statistics: Concepts, Models, and Applications by D.W. Stockburger Hypertext Maths Dictionary Eric Weisstein's World of Mathematics Biographies of great mathematicians Biographies of Women Mathematicians ... Unsolved Mathematical Problems , a collections of nice short essays about classical mathematical problems The MacTutor History of Mathematics Archive Pages on Logic, Math, and Reasoning by Christer Blomqvist Introduction to Probability by C.M. Grinstead and J.L. Snell The Kepler Conjecture Web Resources for the History of Mathematics Alan Turing Home Page The Geometry Junkyard ... Symmetry, Crystals, and Polyhedra
