Links For Informal Geometry Studying Mandlebrot fractals (applet with GOOD interactive info) http//forum.swarthmore.edu/alejandre/applet.mandlebrot.html. Geometer s Sketchpad. polyhedra. http://euler.slu.edu/teachmaterial/hyperlinks_for_geometry.html
Extractions: Teaching Resources (Courtesy Dr. R Freese) Contents: Experiment with Volume (simle worksheet, estimating volume) http://math.rice.edu/~lanius/Geom/cyls.html Volume Functions: (Worksheet)Calculating volumes http://math.rice.edu/~lanius/Geom/cyls2.html Geoboard Area : a worksheet exploring area. (Based on the geoboard) Designs with Circles: construction of circles (rotation and reflection symmetry) http://forum.swarthmore.edu/alejandre/circles.html Percentage Circle http://forum.swarthmore.edu/~sarah/shapiro/gsp.percent.circle.gif Nets of crystals: paper construction of crystals, polyhedrahttp://forum.swarthmore.edu/alejandre/workshops/crystalnet.html Systems of Crystals (type of crystals, and physical examples) http://forum.swarthmore.edu/alejandre/workshops/chart.html Real World - Viewing Crystals (applications of Tesselations in the real world) http://forum.swarthmore.edu/alejandre/workshops/crystal.html Isometric Drawing http://forum.swarthmore.edu/workshops/sum98/participants/sanders/Isom.html
SearchBug Directory: Shopping: Toys_and_Games: Educational http//mathartfun.com/shopsite_sc/store/html/index.html Books, puzzles, posters and art gallery related to tessellations, polyhedra, fractals, anamorphic art http://www.searchbug.com/directory.aspx/Shopping/Toys_and_Games/Educational/
Blinded By Science Refresh your knowledge of the basics, good logic, geometry and its formula junkyard, plane curves, polyhedra, fractals (more and more), cellular automata http://www.dm.net/~lnh/science.html
Extractions: Technically speaking, science isn't just random connections are important. The reverse is true of this page. Start by wandering the virtual American and Hooper natural history museums. Keep up with our evolving knowledge with science news , always being careful of bad astronomy and other forms of bad and junk science. For specific subjects, look out there , all around us , or inside us Start off your day with an astronomy picture Cosmology is the study of really large scales galactic collisions are dinky Bone up on it all with a tutorial , a guide to its evolution , and questions answered about the big bang , plus a nucleosynthesis calculator and other sites . This is the domain of general relativity , a subject often mystified and often explained , and sometimes even simulated . Don't forget the vexing questions of dark matter dark energy ... topological defects , the cosmological constant , and the value of the Hubble constant and other parameters After delving into the hows and whys of the whole universe , learn about its inhabitants galactic clus ters ... galaxies (such as our Milky Way ) as they evolve quasars and active galaxies stars (such as our sun ) as they (and it evolve binary double ... supernovae and supernova remnants nebulae planetary ... nebulae , the interstellar medium and our heliosphere cosmic rays gravity waves ... holes , and neutron stars . Catch up on the principles of astronomy or space physics ; for help, ask an
Science > Math > Chaos And Fractals 42 Interactive 3D fractals Shows how to create fractal mountains, 3D Mandelbrot and Julia sets, convex, stellated and polyhedra. http://www.xasa.com/directorio/mozilla/Top/Science/Math/Chaos_and_Fractals/
► Chaos And Fractals [Science: Math] - WorldSearch.com 1, Interactive 3D fractals Shows how to create fractal mountains, 3D Mandelbrot and Julia sets, convex, stellated and polyhedra. http://www.worldsearch.com/science/math/chaos_and_fractals/
Extractions: Search : What: Sites Shopping DVD Posters and Photos Calendars Music Books Classical Music Video Magazines Computers Electronics Software Video Games Camera and Photo Kitchen and Housewares Home and Garden Tools and Hardware Toys and Games Apparel and Accessories Baby Car Parts and Accessories Auctions Computers: Hardware Software Virus Protection Financing: Credit Cards Loans Real Estate Internet: Access (ISP) Domain Registration Hosting Shopping: 2004 Calendars Autos Chocolates Computers ... Sports Today Friday, June 11, 2004
Directory - Science Math Chaos And Fractals Interactive 3D fractals · cached · Shows how to create fractal mountains, 3D Mandelbrot and Julia sets, convex, stellated and polyhedra. http://www.incywincy.com/default?p=26913
Saturday Morning Math Group: Previous Talks (Zometools are what we used during the activity to build models of polyhedra). Nicholas Ormes Debra Carney, fractals In between dimensions There are many http://www.ma.utexas.edu/users/smmg/PreviousTalks.html
Pop Quiz: Further Information For Question #5 on equilateral triangles are the pages about crystals; fractals, especially the Sierpinski Triangle and the Koch Snowflake (see below); and polyhedra (try the http://www.hamilton.net/subscribers/brian/popquiz/0005.html
Extractions: Another interesting thing about equilateral triangles is that they are also equiangular , meaning all three angles are equal as well. Since there are 180 degrees in a triangle, and all three angles are the same in an equilateral triangle, each angle of an equilateral triangle measures 60 degrees. An equilateral triangle is known as a regular polygon , since all its sides are equal and all its angles are equal. Equilateral Triangles in Everyday Life Equilateral triangles are found nearly everywhere. Examples include many everyday objects, landmarks, and symbols. The Greek letter delta, and our own letter A Formulas for Equilateral Triangles Several formulas exist which are useful in finding measurements of equilateral triangles and polyhedra which contain equilateral triangles. A few are given below. The area of any triangle is given by A bh where A is the area
Educational Information From The Toy Collectible Directory Mathartfun.com Books, puzzles, posters and art gallery related to tessellations, polyhedra, fractals, anamorphic art, and MC Escher. Arizona, USA. http://www.toybox2000.com/directory/resource-subdirectory-114.html
Extractions: 1st Place Publishing Phonics game for spelling and reading. Acorn Educational Variety of toys designed for pre-school, early years and special needs children. Art-Matters Fine art, music, dance and theater educational products and toys for children of all ages including videos, games, compact disks, instruction, supplies, software and books. Baby Einstein Company Offering videos and toys to stimulate and develop a child's brain. Bella Luna Toys Waldorf toys, art supplies, co-operative games and wooden products. Best Kids Toys Puzzle mats for the enhancement of early childhood education. Billylids Brain teasers, construction, fine motor, puzzles and wooden. Australian site delivers internationally. Blue Heron Productions Therapeutic games for therapists, counselors, educators and other mental health professionals. Books by Barbara Sher Books of games for children, that enhance their social, motor and academic skills. Games use no materials or ones easy to find around the house.
Hilbert R-tree An Improved R-tree Using Fractals - Kamel Hilbert Rtree An Improved R-tree using fractals} , booktitle = Proceedings (context) - Bially - 1969 30 Spatial search with polyhedra (context) - Jagadish http://citeseer.ist.psu.edu/kamel94hilbert.html
AnsMe Directory - Science > Math > Chaos And Fractals 26. Interactive 3D fractals Shows how to create fractal mountains, 3D Mandelbrot and Julia sets, convex, stellated and polyhedra. http://dir.ansme.com/science/26913.html
Math Education Resources A good website for instructors who would like to introduce their students to fractals. polyhedrals Welcome to my personal pavilion of practical polyhedra! http://libweb.sonoma.edu/search/web/math.html
Extractions: Library Collections ... University Library Search for Information Subject Guides to Web Resources Math Education Resources Math Education Resources The world wide web sites listed below were collected by Mary Anne Sobieraj and Jeff Silverman for the Math Colloquium Series at Sonoma State University. Use these sites as a starting point for your own web research. Mathematical Association of America - MAA organizational information as well as links to professional development workshops via the Web, their Interactive Teaching Exchange, and much more. Mathematics by Nerd World Media (tm) - A great subject index and links to topics in calculus, geometry, statistics, etc. Math Forum - wonderful resource for all aspects of math education, including specific lesson plans for K-12 through college and advanced math, as well as links to issues of interest and concern for math educators and the mathematics community in general. Includes Dr. Math, which allows students (elementary school through college level and beyond) to e-mail questions to Dr. Math and receive answers in response. The math doctor(s) are in reality math students from Swarthmore college who enjoy answering math questions. World of Mathematics - a "comprehensive, and interactive mathematics encyclopedia intended for students, educators, math enthusiasts, and researchers."
Mathematics Archives - Topics In Mathematics - Geometry Generalizations, Ford s touching circles, Isoperimetric Theorem and Inequality, fractals, Napoleon s Theorem, Ptolemy s Theorem, Regular polyhedra and Euler s http://archives.math.utk.edu/topics/geometry.html
Extractions: ADD. KEYWORDS: Two Dimensional Tilings, Three Dimensional Tilings, Face-Transitive Tilings, Periodic Delone Tilings, Orbifold Graphs, Classification of 3-Dimensional Tilings, Tiling Space by Platonic Solids, Enumeration of Polyhedral Crystal Structures The Computation of Certain Numbers Using a Ruler and Compass
Kepler's Fractals Kepler's solids can be fractalized in the same manner the Star of David is made into a Koch Snowflake Keplerian fractals. - A Koch snowflake To see his drawings, go to Keplerian fractals - http://www.clowder.net/hop/Keplrfrct/Keplrfrct.html
Extractions: Examples of self similarity in fractals with examples from mathematics and photos of the physical world. 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 Math Forum - Math Library - Polyhedra The Math Forum's Internet Math Library is a comprehensive catalog of Web sites and Web pages relating to the study of mathematics. This page contains sites relating to polyhedra. Regular Convex http://mathforum.com/library/topics/polyhedra
Extractions: Formulas for two-dimensional figures: triangle (equilateral, isosceles, right, scalene); quadrilateral (general, square, rectangle, parallelogram, rhombus, trapezoid, kite, cyclic and cyclic-inscriptable); regular polygon; circle (arc, segment, sector); ellipse; parabolic segment; and three-dimensional figures: rectangular parallelepiped (cube); prism; pyramid (square pyramid, frustum); regular polyhedron (tetrahedron, cube, octahedron, dodecahedron, icosahedron); cylinder (right circular); cone (right circular, frustum); sphere (sector, cap, segment, zone, lune); ellipsoid; circular torus; spherical polygon. Includes Defining Geometric Figures. more>> Naming Polygons and Polyhedra - Math Forum, Ask Dr. Math FAQ
Redirect Plese look at Generation of 3D fractals for Web http://www.people.nnov.ru/fractal/VRML/3dLsys/3Dtree.htm
Suzanne Alejandre - Fractal Links Basic fractal information for the math teacher or interested user, with Internet resources to expand your fractal knowledge. http://mathforum.com/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."
