 Exploring Geometric Solids and Their Properties (iMath Investigations)  Illuminations; National Council of Teachers of Mathematics (NCTM)
An online, interactive, multimedia math investigation. Investigating and then reasoning about the relationships within and between threedimensional shapes is important for students in grades 35 as they continue to develop understanding about geometry
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 Five Triangles mathematics blog
This blog, which dates back to April, 2012, posts problems for middle and junior high school students. Topics have ranged from ratios and fractions to area and paths to quadratic equations and linear equations.
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 Flash Games  ATK Solutions, Inc.
Flash applets and games include rotating 3d cube; mind boggle square, which challenges you to slide a square across a surface by sliding other quadrilaterals into the unoccupied spaces; Futoshiki, which involves positioning counting numbers on a grid
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 FoldPlay
Upload your photographs, print them out in FoldPlay's templates, then fold them into hex kaleidocycles, oct kaleidocycles, invertible cubes, and foldbooks. Also, instructions for folding nerdcatchers, sphericon pies, polygon puzzles, and other origami.
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 Four Corners, Four Faces (MatheMUSEments!)  Ivars Peterson (Math Muse for Kids)
To Arthur Silverman, a sculptor in New Orleans, tetrahedrons, or triangular pyramids, are very special. He's been creating sculptures based on the tetrahedron for more than 20 years. You might see examples on display in plazas and office buildings in
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 Freakonometrics  Arthur Charpentier
Blog by a Montreal professor of actuarial science "addicted to R." Posts, which date back to March, 2007, have included "Dynamic dependence ordering for Archimedean copulas and distorted copulas," "Pricing catastrophe options in incomplete markets," "Estimation
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 Free Doughnuts  Web Feats Workshop II
You have a piece of cardboard 24 by 15 inches. Your problem is to figure out how much to cut out of each corner to make the box with the biggest (maximum) volume. Use the applet to explore how changing the size of the cutout changes the box. This workshop
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 Free Puzzles  Jimmie Dean
A collection of puzzles and brainteasers, divided into geometry, logic, math, weight, moves, and miscellaneous. Each puzzle includes a hint, and solutions are available through email. Online games and puzzles include a chess knight game and Hangman.
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 From Counting to Writing  Ivars Peterson (MathLand)
Abstract numbers are the product of a long cultural evolution. They also apparently played a crucial role in the development of writing in the Middle East. Indeed, numbers came before letters, contends archaeologist Denise SchmandtBesserat of the University
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 Gadgets  Jan Gombert
Gombert's five "gadgets" provide simple challenges that combine addition, multiplication, and two or threedimensional geometry. Balancing Act shows three values on a beam to balance by addition. Make a given perimeter or area by resizing the figure
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 Gaussian Curvature (Geometry and the Imagination)  Conway, Doyle, Gilman, Thurston; The Geometry Center
What is the curvature inside the region on a sphere exterior to a tiny circle? On a polyhedron, what is the curvature inside a region containing a single vertex? two vertices? all but one vertex? all the vertices?
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 GeoCalc  BaldGeeks
Macintosh shareware for calculating the area, perimeter, sides, angles, and other measures of two and threedimensional shapes such as ellipses, rectangles, triangles, trapeziums, parallelograms, polygons, prisms, cylinders, cones, pyramids, and spheres.
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 Geometria  Stelian Dumitrascu
A Java program in interactive solid geometry. Solids can be revolved, cut,
joined, built from scratch, measured, and drawn upon. View demo applet online or download a shareware version of the program. (Geometria can be run as a standalone application
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 Geometry formulas  Sergey Kondratov
Geometry formulas, each with interactive calculators: perimeters, areas, surface areas, volumes, radii, and more for plane shapes and bodies.
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 Geometry of Fullerenes  Slavik Jablan, Mathematical Institute, Belgrade
Fullerenes (Buckminster Fuller) are considered from the points of view of geometry, graph theory and knot theory. Contents: Introduction; General fullerenes, graphs, symmetry and isomers; 5/6 fullerenes; Knot theory and fullerenes; "Perfect" fullerenes;
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 George W. Hart: Index  George W. Hart
An index to some of the areas covered by Hart's Web pages: Geometric sculpture; Encyclopedia of Polyhedra  over 1000 virtual polyhedra; Pavilion of Polyhedreality  images and geometry links; Hart's upcoming book about Zome Geometry; research and publications;
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 Good Calculators
Online calculators for determining gradients, slopes, percentages, forces, factoring, fractions, powers, square roots, velocities, statistics, standard deviations, spring helical compressions, torques, areas, volumes, ratios, conversions, and more.
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 Got Math?  Dave Radcliffe
Blog by a community college math instructor and selfdescribed "GeoGebra fanatic." Posts, which date back to December, 2010, have included "Stacking cannonballs," "Counting with Integrals," "A Paradoxical Dissection," "Gelfand's Question," "Imagining
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 The Great Golden Pyramid  Tony Smith
The largest of the Giza pyramids is usually called the Great Pyramid. It can also be called the Great Golden Pyramid, because its geometry is that of the Golden Mean. Pictures and diagrams of the interior and exterior architecture, with explanations of
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 Greg Egan's Home Page
Information, illustrations, and Java applets that supplement some of the works of the science fiction author. The Applets Gallery includes groups of rotations in three dimensions and in four dimensions; Escher, inspired by the artist's conflicting orientation
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 Harold Reiter's Home Page  Harold Reiter, Department of Mathematics, University of North Carolina at Charlotte
Freely downloadable puzzles and problems from the founder of teachers circles and math clubs in Charlotte and Mecklenburg, longtime writer of MathCOUNTS questions, and member of the ETS/College Board CLEP (CollegeLevel Examination Program) Precalculus
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 Hessport's Rubik Shop  Hessport's Rubik Shop
Buy Rubik's Cube, Rubik's Revenge (4 x 4 x 4), Rubik's Professor (5 x 5 x 5), Rubik's Magic, Rubik's Rings, Rubik's Shells, Rubik's UFO, Rubik's Mini (2 x 2 x 2), Rubik's Snake, Rubik's Tangle, Rubik's Triamid, Rubik's Double Tangram, Rubik's Bricks,
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 Heureka: páginas lúdicomatemáticas  Rodolfo Valeiras Reina
Home page of a Spanish math enthusiast from Cádiz, España. Calidociclos (a kaleidocycle is a ring of tetrahedra joined edge to edge; as you twist it inward or outward, the tessellations on the faces of the tetrahedra meet in new ways); Problemas
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 How Many Regular Polyhedrons Are There In This or Any Universe? (SMILE)  Lawrence E. Freeman, Kenwood Academy
A lesson designed to teach the idea of "regularity" in geometry, exploring regular polygons and polyhedra. From the Geometry and Measurement section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for Learning
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 How to Solve a Rubik's Cube Guide for Beginners  John Wade
An illustrated guide to solving Rubik's cube in seven steps.
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 How to Solve the Rubik's Cube v1.4  Mark Jeays
A complete solution to solving the cube from any position, credited to David Singmaster, who wrote the 1980 book Notes on Rubik's Magic Cube, except for Step 2, discovered independently by Mark Jeays.
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 Hypergami (Geometry Forum Summer Institute)  Michael Eisenberg, Ann Nishioka
A program for the creation of paper sculptures of various types  particularly polyhedral models and the larger, multipart sculptures that can be created from polyhedra. Description of a Geometry Forum Institute program (summer 1995).
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 ICSE Maths  Suresh Lala
The site contains practice problems for the ICSE (Indian Certificate of Secondary Education) Exam. General topics include arithmetic, algebra, geometry and statistics. Each subtopic typically includes about twenty problems, with answers at the bottom
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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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 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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 Interactive Mathematics Miscellany and Puzzles  Alexander Bogomolny
"The peculiar beauty of Mathematics lies in deduction, in the dependency of one fact upon another. The less expected a dependency is, the simpler the facts on which the deduction is based  the more beautiful is the result." This awardwinning site offers
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 Introduction to Math and Spreadsheets  Jan Garner
Exercises on spreadsheets. Using ClarisWorks, graph a spiral or a few parabolas; build a scale model of the Great Pyramid or find the biggest box you can make from a sheet of cardboard; plan the budget for a picnic.
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 Irregular Tetrahedron Formula (Ask Dr. Math FAQ)  Math Forum
Formula for finding the volume of an irregular tetrahedron. This will work for a regular tetrahedra also, but a simpler formula is available in that case.
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 Jaap's Scratch Pad  Jaap Scherphuis
Java applets, generators, and solutions for sudoku, Rubik's Cube, "moving pieces" puzzles, permutation puzzles, and more, including sphere symmetries, polyform, Towers of Hanoi, and many lesser known puzzles from this collector. Scherphuis' articles range
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 Japanese Temari  Barb Seuss
Read about the history of this Asian needlework craft, find free patterns to stitch your own geometric designs on the sphere, browse online galleries of temari, and more.
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 Jim Plank's Origami Page (Modular)  Jim Plank
Instructions for making polyhedra, and pictures  "Penultimate Module": Compound of 5 tetrahedrons; Compound of 5 octrahedrons; Compound of three rectangular prisms. Stella Octangula. Lesser Stellated Dodecahedron. Snub Cube, Dual of the Snub Cube. Icosidodecahedron
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 Joseph Malkevitch's Home Page  Joseph Malkevitch, York College (CUNYThe City University of New York)
Malkevitch's interests include geometry (polytopes, graph theory, tilings, etc.), discrete mathematics, and mathematical modeling (especially models dealing with fairness and equity issues and codes of all kinds). Most of his research concerns using combinatorial
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 KaleidoTile  The Geometry Center
A downloadable program for the Macintosh based on the Geometry Center's tiling program on display at the St. Paul Science Museum. You can use KaleidoTile to create and manipulate tessellations of the sphere, Euclidean plane and hyperbolic plane, and to
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 Kids Corner  Hope Paul Productions
Games to play online, and a demo to download: Solid Geometry (make your own 3dimensional shapes), and a store where you can order math toys and games.
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 Knowhere  Rick Engel; Polymorf, Inc.
Lesson on how the structure of space determines the
shape of things in geometry and chemistry. The
principles of solid geometry are related to their real life
embodiment in the crystal structures of elements and
minerals using Polymorf, a new math/science
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 Learn Math 3D on Orbital One  Peter Richards
A software math course set within a real time 3D environment. Topics covered include counting, the number system, addition, subtraction, multiplication, division, 2D and 3D shapes, simple fractions, and telling the time.
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 The Logic Puzzle Museum
Play with more than fifty different handson brain twisters, mechanical and logic puzzles  and craft your own. Regular events at this Burlington, Wisconsin, museum include Valentine's Day (makeyourown historic rebus valentines), celebrations of the
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 Magic Cube 4D  Melinda Green, Don Hatch, and E. Jay Berkenbilt
MagicCube4D is a fourdimensional Rubik's cube  an exact analogy in four dimensions to the original plastic three dimensional puzzle. Download the Java applet or pacakges for UNIX, Linux, or C++ source code.
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 Mag's 3x3 Rubik's Cube Solution  Tom Magliery
A small collection of operations for the 3x3 Rubik's Cube, which assumes that you already know how to get one entire face solved; this means not only having all of one color on one side, but also having those 8 pieces in the proper position with respect
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 Main Index of Software Libraries  Netlib, UTK and ORNL
Mathematical and statistical software to download.
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 Making Polyhedra  Jan Garner
Exercises on constructing polyhedra. Introduction, Triangular Face Exercise, Regular Polyhedra. Also polyhedra links on the Web.
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 Maps (Geometry and the Imagination)  Conway, Doyle, Gilman, Thurston; The Geometry Center
A map in the plane is a collection of vertices and edges (possibly curved) joining the vertices such that if you cut along the edges the plane falls apart into polygons. These polygons are called the faces. A map on the sphere or any other surface is
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 Mark Newbold's Page  Mark Newbold
Home page of a physics and math enthusiast. Contains: Java stuff (HyperSlice  Hyperspace Polytope Slicer, animated Necker cube, counterrotating spirals, stereoscopic animated hyperspace objects); stereoscopic 3D stuff (3D HyperCube Java applet, anaglyphs);
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 Match Sticks in the Summer  Ivars Peterson (MathLand)
One of the presenters at the Strens conference was mathematician Heiko Harborth of the Braunschweig Technical University in Germany. "Match sticks are [among] the cheapest and simplest objects for puzzles which can be both challenging and mathematical,"
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 Materials for using projector in math teaching  Antonija Horvatek
Geometer's Sketchpad and PowerPoint files for presenting fractions, decimals, integers, rational numbers, equations, functions, perimeter and area, plane transformations, the Pythagorean Theorem, threedimensional geometry, and statistics. Also available
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