Extractions: Homepage Schedule (118 kb PDF) Monday, March 29th "Genetic Codes as Codes: Towards a Theoretical Basis for Bioinformatics" Abstract: Bioinformatics has developed primarily as a discipline within mathematics and computer science devoted to organizing and analyzing large biological databases. However, biology has much to offer to a synthetic discipline of bioinformatics that draws upon and respects the mutual contributions of biology, mathematics and computer science. In particular, biology has two major theoretical foundations, both evolutionary: namely, phylogenetic systematics and population genetics, that can serve as a cornerstone of a theoretical foundation of bioinformatics along with traditional empirically driven, pattern searching forms of classical bioinformatics. In this re-conception of bioinformatics... learn more...
Fractal Links Fractal Music Software from Fractovia. Fractal Music Software; fractals; MUSIC FROM The Fractal Music Project; Fractal polyhedra; Fractal polyhedra without any VRML http://www.apu.ac.uk/music/rhoadley/links/links_fractals.html
Extractions: Or you could get Kai's Power Tools (version 6)as a plug-in for Photoshop if you use it.If you must have freeware then I suggest Fractal Zplot from: terry Other useful/interesting fractal links: www.fractalus.com www.crosswinds.net library.advanced.org Paul.N.Lee ... Juan Luis: Third.Apex.to.Fractovia Fractal Music Software from Fractovia Fractal Music Software Fractals MUSIC FROM CHAOS index SSEYO homesite Koan generative music software sequencer ... The Fractal Music Project mersenne numbers blank
Science Search > Chaos And Fractals 29. Interactive 3D fractals Shows how to create fractal mountains, 3D Mandelbrot and Julia sets, convex, stellated and polyhedra. http://www.science-search.org/index/Math/Chaos_and_Fractals/more3.htm
Mathematics Homework of circles spheres, fewest colors, combinatorial geometry, fractals, geometric models Paper Models http//www.georgehart.com/virtualpolyhedra/paper-models http://www.litch.com/library/HomeworkSites/MathHomework.htm
Science, Math, Chaos And Fractals Index to Named fractals.. Interactive 3D fractals. Shows how to create fractal mountains, 3D Mandelbrot and Julia sets, convex, stellated and polyhedra. http://www.klevze.si/browse/Science/Math/Chaos_and_Fractals/
Extractions: Search: Web Directory Daily News PHP Manuals mySQL Manuals ... Svenska Browsing Science, Math, Chaos and Fractals Category See also: This category in other languages: French Japanese Korean Spanish ... Chaos theory is a popular name for the theory of Dynamical Systems (DS), mainly for non-linear systems. The theory covers many aspects of the life of DS, all of them have the same characteristics, they were born, they lived and they died.. History of chaos as well as extensive information on Chaos Theory and fractals. Contains several pictures of fractals and links to other Chaos Theory and fractals pages.. A Directory of Internet resources on chaos theory and fractals.. Explains a general systems theory for chaos, quantum mechanics and gravity as applied to weather patterns.. Companion site for the book by Gary William Flake. Contains applets and source code for simulations of fractals, chaos, complex systems, and adaptation..
Books On Special Topics He even relates fractals to art and architecture. Unit Origami (7up) Geometry of polyhedra; Graph Problems Tomoko Fusé; Japan Publications, 1990; $19 http://dimacs.rutgers.edu/Volumes/schools/paper82/node16.html
Extractions: Marcia Ascher; Chapman and Hall, 1991; $42. This is a fascinating book, which will give you a new perspective on mathematical ideas that one often takes for granted, such as the words used for counting. Of special interest is a chapter exploring Eulerian paths, a standard topic in discrete mathematics (e.g., see [ ]), as an artistic aid to story-telling in the South Pacific islands. This is the source of some of the material in the module Drawing Pictures with One Line , described on page . The following is an excerpt from a review by Susan Picker LP `90. But Ethnomathematics explores more than the topic of graph theory as it presents the mathematical ideas of number, kin relations, games of chance and strategy, and symmetric strip decorations. ...It provides a comprehensive look at the meaning and use of similar mathematical ideas in different cultures, illuminating both the mathematics and the culture in which it appears, and through this showing the value of the study of mathematics in a multicultural setting.
Index By Grade Level. Intro to Tessellations, *; Build Your Own polyhedra, *; Unit Origami, *; fractals for the Classroom, *; Math/Human http://dimacs.rutgers.edu/Volumes/schools/paper82/node32.html
Extractions: Next: Index by topic. Up: Recommended Resources for Teaching Previous: Web Sites In this section, for each of the grade-level ranges K-2, 3-5, 6-8, and 9-12, we list the titles of resources described in the text whose content seems especially appropriate. Within each subsection, titles are ordered (approximately) by reading level. Each title is followed by the number of the page that contains its description. See Appendix B for unabbreviated titles.
The Nature Of Fractals geometries. THE NATURE OF fractals, 66. geometry. Mainly concerned with points, lines, circles, polygons, polyhedra and conic sections. http://www.fractovia.org/what/what_ing6.shtml
Extractions: Addendum: a survey of geometries. THE NATURE OF FRACTALS, 6:6 Addendum: The following survey on geometries is taken mainly from Jan Gullberg, Mathematics from the Birth of Numbers. Euclidean Geometries Euclidean geometry: also referred to as classical or elementary geometry. Mainly concerned with points, lines, circles, polygons, polyhedra and conic sections. It is based on definitions and axioms described by Euclid (c.330 - c.275 B.C.) in the treatise Elements , a compendium of all the geometric knowledge of his time.
Extractions: Mathematics and Geometry Tsutomu Higo - Gallery Cyberbust One of the top galleries - a creative artist and a good POV-math-teacher! The source codes for many images show how he made this. (en,jp) Shuhei Kawashu An excellent gallery of creative mathematical and geometric art! (en,jp) Paul Bourke Astrophysics and Supercomputing at the Swinburne University of Technology, Australia. A great homepage on various things around rendering and visualization of all kinds, Geometry, Curves, Fractals, Polyhedra, platonic solids, polytopes, Star Sphere and Polar Sphere, etc. also about PovRay, MegaPov, MegaPovPlus (en) Junos World All about Polyhedron - gallery and VRML - fascinating Puzzles! (jp, en) Erich Friedman's Puzzles Palace All about Puzzles! (en) Mechanical Puzzles new !
DISCUSSIONS INDEX Dimension for Irregular fractals, Looks at random fractals and how selfsimilarity is generalized. polyhedra, Questions about dice lead to discussion of polyhedra. http://occawlonline.pearsoned.com/bookbind/pubbooks/billstein_awl/medialib/shodo
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 Number and Operation Concepts : Includes working with fractions and decimals, clock arithmetic, and finding number patterns. (NCTM Content Standard) Geometry and Measurement Concepts : Includes basic notions of lines, rays and planes, working with tessellations, fractals. (NCTM Content Standard) 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) 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. (NCTM Content Standard) These discussions are best accessed from the lessons in which they are used, but are listed here for convenience. Teachers who develop discussions similar to these for other topics are encouraged to submit them to the Project Interactivate archives. Contact
Wauu.DE: Shopping: Toys And Games: Educational: Page 3 lizzieslookingglass.com/. Mathartfun.com Books, puzzles, posters and art gallery related to tessellations, polyhedra, fractals, anamorphic art, and MC Escher. http://www.wauu.de/Shopping/Toys_and_Games/Educational/more3.htm
Math Forum Internet Collection - Mathgraphics (Outline) Origami and Mathematics; Pascal s fractals Ivars Peterson (MathLand); Pavilion of The Platonic Solids and polyhedra - Paul Flavin; Point Plots and Space Curves http://math.kongju.ac.kr/math/java/Java/mathgraphics.html
Extractions: About the Collection Table of Contents Search the Collection ... The Chryzodes: a pictorial travel into science of numbers (arithmetic). Chua's Oscillator: Applications of Chaos to Sound and Music Circles of Light: The Mathematics of Rainbows (Gallery of Interactive Geometry) Classification of Patterns The Click-n Project Cliff Pickover's Creativity and Math Page ... The Fractint PAR Exchange - Landon Kuhn Fractint WWW The Fractory - The Science and Beauty of Fractals FracZoom Fun with Fractals - Keith Gabryelski Gallery of Fractal Images - Paul Bourke ... Math Teacher Link - a NetMath Coalition Project MathArt Mathematica Demo Mathematical Animation Gallery Mathematical Java Applets - Gamelan Mathematical Visualizations, Interacting with surfaces in 4-D by David Banks ... MathLab 95 MathMadness Screen Savers for Windows and DOS MathMol - K-12 Mathematics and Molecules Maths Net Maths with Photographs MathsNet ... Robotic Navigation with Constraints - Level Set Methods (Sethian) Room 8 Geometry Book - Riverside Elementary, Princeton, NJ Rubik's Cube: Our robot can play with The Cube!
:: Ez2Find :: Chaos And Fractals fractals Site Info - Translate - Open New Window Shows how to create fractal mountains, 3D Mandelbrot and Julia sets, convex, stellated and polyhedra. http://ez2find.com/cgi-bin/directory/meta/search.pl/Science/Math/Chaos_and_Fract
Extractions: Any Language English Afrikaans Arabic Bahasa Melayu Belarusian Bulgarian Catala Chinese Simplified Chinese Traditional Cymraeg Czech Dansk Deutsch Eesti Espanol Euskara Faroese Francais Frysk Galego Greek Hebrew Hrvatski Indonesia Islenska Italiano Japanese Korean Latvian Lietuviu Lingua Latina Magyar Netherlands Norsk Polska Portugues Romana Russian Shqip Slovensko Slovensky Srpski Suomi Svenska Thai Turkce Ukrainian Vietnamese Mode Guides Chaos and Fractals Web Sites Chaos, Fractals And Attractors In Science [Site Info] [Translate] [Open New Window] Chaos theory is a popular name for the theory of Dynamical Systems (DS), mainly for non-linear systems. The theory covers many aspects of the life of DS, all of them have the same characteristics, they were born, they lived and they died. URL: http://www.geocities.com/ecometry
Journal Of Electronic Imaging, July 1995, Vol. 04(03) anisotropy, polyhedra should be close to regular in shape; and (7) polyhedra should be 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)
Minicourse Descriptions building 3dimensional models, creating computer generations of fractals, and others Examine the mathematics of polyhedra that pack space cube, triangular prism http://www.math.washington.edu/~nwmi/sum/summer2001/mini-contents.html
Extractions: Instructors: Will Webber and Ronda Webber In this minicourse we will look at the basic concepts in fractal generation. The topics will include fractal curves such as the Koch, Hilbert, and Peano curves, "Mandelbrot" sets, Julia sets, fractal dimension, iterated function systems, chaos and others. An emphasis will be placed on creating fractals by repeating simple sets of instructions. The activities will be hands-on and include stamping, folding strips of paper, cutting pop-up fractals, building 3-dimensional models, creating computer generations of fractals, and others. Instructors: Philip Mallinson with Carol Hattan You know very well what an angle is, what a straight line is, and how to measure angles and segments and areas in the plane. But suppose your universe is not a plane but a cone or a cylinder or a cube or a sphere? This minicourse invites you to extend the these basic notions to surfaces that don't look like a flat sheet of paper. You will build your own models and also use commercial products like the Lenart sphere. As well as opening a new world of geometry, geometry on the sphere is also very practical. After all, map makers need to flatten out the world for the pages of an atlas and navigators need to sail in straight lines. How do they do it? In the Footsteps of Escher: 3-D Puzzles that Tessellate Space
Hello Homework! Mathematics This is an introduction to fractals for middleschoolers. Paper Models - Paper polyhedra http//www.georgehart.com/virtual-polyhedra/paper-models.html Shows http://www.tds.lib.mn.us/HMath.htm
Extractions: Eighty word problems - in English and Spanish - for middle schoolers from the National Council of Mathematics Teachers and the U.S. Department of Education that don't just give the answers to the problems, but explain how to think them through and solve them. The problems focus on measurement (eg. "Line Up"), numbers (eg. "Beating Heart"), statistics and probability (eg. "I Win!"), algebra (eg. "Which Way?), and geometry (eg. "Popcorn"). Webmath offers math homework help and math word problems at DiscoverySchool.com Can't figure out how to simplify an algebraic expression, factor a polynomial, crunch numbers, convert units of measure, or solve an equation? DiscoverySchool.com's web site will walk you through the solution. It also offers math homework help. Problem Solving Numbers and Computation Patterns, Functions, and Algebra
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. Use this form to contact the 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
Math 8 - Frisbie Middle School Building Math Power, polyhedra, Graphing and Functions, Linear and Exponential Functions, fractals and Chaos Theory, Applied Data Analysis. http://www.rialto.k12.ca.us/frisbie/math8.html
Extractions: Math 8 As part of the Rialto Unified School District, Frisbie Middle School is using the Glencoe instructional materials to teach mathematics. Math 8 is a general mathematics course for eighth grade students not enrolled in Algebra I. Under the Curriculum Links the alignment of the course can be checked against the RUSD Math Matrix, California Framework Standards, and the NCTM Standards. Links are provided to support the Math 8 curriculum for students, teachers and parents. Some of the links are to Internet sites with information, others link to sites with interactive lessons which could be used at home as a supplement or during class and still others could be used as enrichment for students willing to work before or after school. A similar Math 7 page is available for the general mathematics course for all seventh grade students. As you use these pages, comments and/or suggestions would be appreciated. Please send them to Suzanne Alejandre Math Matrix - RUSD RUSD Course of Study CA Academic Standards Commission California Mathematics Framework
ABC.NET Web Directory - - Science - Math - Chaos And Fractals - Open in a new Window, » Interactive 3D fractals Shows how to create fractal mountains, 3D Mandelbrot and Julia sets, convex, stellated and polyhedra. http://www.abc.net/dir/index.php/Science/Math/Chaos_and_Fractals/
Extractions: Search: search the entire directory search this category only Top Science Math See also: This category in other languages: French Japanese Korean Spanish ... Chaos, Fractals And Attractors In Science - Chaos theory is a popular name for the theory of Dynamical Systems (DS), mainly for non-linear systems. The theory covers many aspects of the life of DS, all of them have the same characteristics, they were born, they lived and they died.
SLCentral Directory - Science - Math - Chaos And Fractals Interactive 3D fractals Shows how to create fractal mountains, 3D Mandelbrot and Julia sets, convex, stellated and polyhedra. http://www.slcentral.com/directory/index.php/Science/Math/Chaos_and_Fractals/
Extractions: Submit a Site SLCentral Directory - Science - Math - Chaos and Fractals See also: This category in other languages: French Japanese Korean Spanish ... Chaos, Fractals And Attractors In Science - Chaos theory is a popular name for the theory of Dynamical Systems (DS), mainly for non-linear systems. The theory covers many aspects of the life of DS, all of them have the same characteristics, they were born, they lived and they died.