- 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 e-mail. 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 Schmandt-Besserat of the University
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- Gadgets - Jan Gombert
Gombert's five "gadgets" provide simple challenges that combine addition, multiplication, and two- or three-dimensional 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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- Geo-Calc - BaldGeeks
Macintosh shareware for calculating the area, perimeter, sides, angles, and other measures of two- and three-dimensional 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 stand-alone application
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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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- 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 (College-Level Examination Program) Pre-calculus
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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 lúdico-matemáticas - 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 sub-topic 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 year-long 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 award-winning 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 (CUNY-The 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 3-dimensional 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 hands-on brain twisters, mechanical and logic puzzles -- and craft your own. Regular events at this Burlington, Wisconsin, museum include Valentine's Day (make-your-own historic rebus valentines), celebrations of the
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- Magic Cube 4D - Melinda Green, Don Hatch, and E. Jay Berkenbilt
MagicCube4D is a four-dimensional 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, counter-rotating spirals, stereoscopic animated hyperspace objects); stereoscopic 3D stuff (3-D 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, three-dimensional geometry, and statistics. Also available
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- MathApplications - Cathleen V. Sanders
An interactive mathematics course offered via the Internet to students throughout the Hawaiian islands. Cathi Sanders, a teacher at Punahou School in Honolulu, teaches this course through ESchool, a pilot project of the Hawaii Department of Education
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- mathartfun.com - Robert Fathauer
Learn and purchase products about tessellations, polyhedra, new perspectives (anamorphic art), fractals, M.C. Escher, tangrams and dissections, kaleidoscopes and symmetry, and paper folding. The gallery of mathematical art contains twisted ribbons and
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- Math Dance - Karl Schaffer and Erik Stern
The Dr. Schaffer & Mr. Stern Dance Ensemble has performed and conducted workshops on math dance in hundreds of schools and conferences since 1987. From that work, Co-Artistic Directors Karl Schaffer and Erik Stern wrote MathDance, a 132-page book with
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- The Mathematical Art of M.C. Escher - B. Sidney Smith; Math Academy Online/Platonic Realms
An excellent introduction to the mathematics in Escher's art, organized into areas: tessellations, polyhedra, the shape of space, the logic of space, and self-reference and information.
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- A Mathematical Canvas - Kirby Urner
Urner's statements on his approach to curriculum writing and philosophy of education, as well as articles: "On Programming the Calculator," "Alien Curriculum," and "Python for Homeschoolers @ FreeGeek." Download 4D "Moodles" of courseware such as Geonumeracy
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- Mathematical Gems
Brief articles include Irrationality of the Square Root of 2; The Best Card Trick; Boltzmann in Berkeley; Four of a kind and two jokers; Mathematical Paint (on Gabriel's Horn); How Many Squares, Mr. Franklin? Goldbach's Proof of the Infinitude of Primes;
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- Mathematics
This blog of instructional posts, which dates back to January, 2011, has included articles that introduce concepts of scale factor, logarithms, calculus, surds, and more.
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- Mathematics Education Resources at Acadia's School of Education - David A. Reid, Acadia University
Learn how to design mathbags, make a fraction quilt set, and teach with algebra tiles. Activities include Folding Fractions, exploring systems of linear equations with Geometer's Sketchpad, and Deductive Euclidean Geometry, as well as two Java applets,
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- The Mathematics of Polyominoes - Kevin Gong
Enumerations of 2- and 3-dimensional polyominoes, with lists of 2-dimensional polyominoes of each size up to 24 and of 3-dimensional polyominoes of each size up to 12. Also see Gong's 1991 paper, Applying Parallel Programming to the Polyomino Problem.
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- MathFLIX - Loyola University Chicago School of Education
Hundreds of free, brief instructional math QuickTime movies, organized by NCTM Standard. MathFLIX, the result of a partnership between Loyola University Chicago's School of Education and The Chicago GEAR UP Alliance, also offers downloadable worksheets
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The Math Forum is a research and educational enterprise of the Drexel University School of Education.