- 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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- Math in Motion: Origami in the Classroom, K-8 - Barbara Pearl
Workshops and a book which use an interdisciplinary and manipulative-based approach to teaching mathematics, supporting the Common Core State Standards for Mathematics (CCSSM) and unfolding a positive attitude toward math and learning. Barbara Pearl developed
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- Math Kangaroo - Maria Omelanczuk
Math Kangaroo's international "not-selective competition" recognizes all students who participate in its 75 minute-long multiple choice test: "Each participant is seen as a winner and receives recognition and gifts on the test day in March." Open to any
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- Mathématique du secondaire - Xavier Hubaut, l'Université Libre de Bruxelles
A collection of lessons for advanced high school students. Includes: linear algebra, geometric concepts, complex numbers, polyhedrons, and applications. In French.
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- Math Problems Collection - Peter Chrenko
Solve math word problems and computational exercises in algebra, arithmetic, basic functions, combinatorics, geometry (3D), planimetry (two-dimensional geometry), statistics, and units. Drag the slider bars to increase or decrease the difficulty, range
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- Math WWW VL: Specialized Fields - Dept. of Mathematics, Florida State University
Links to sites for resources in specialized fields in college-level mathematics.
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- Media4Math
Free algebra and geometry videos, PowerPoint presentations, Promethean Flipcharts, critical thinking activities, worked-out examples, and other media resources. An initiative of Emmy award-winner Edward de Leon, executive producer of "Greatest Inventions
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- MicroGeometry - Marcus Pontuti
A solid geometry volume and surface area calculation utility for the PalmOS PDA. featuring thirteen of the most common shapes, supporting equations, and the ability to build composites. All equations are listed on the site.
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- The Millennium Sphere - The Cooper Union
Jean Le Mee, Manuel A. Baez, and a team of their Cooper Union students submitted the Millennium Sphere for an international time-capsule competition sponsored by the New York Times Magazine. Watch a Shockwave animation of Ad Quadratum generation that
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- Models of Polyhedra (The Geometry Junkyard) - David Eppstein, Theory Group, ICS, UC Irvine
One of the most common forms of geometric model-making involves construction of the five Platonic solids, and of various related symmetric three-dimensional polyhedra. The most common construction methods involve folding and gluing together cut-out paper
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- Mr. Pitonyak's Pyramid Puzzle - John S. Pitonyak
A webquest in which students are divided into construction teams that research the cost of building a pyramid, explore actual pyramids through online exhibits, and submit calculations that they would use to build their pyramid. The site includes instructions,
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- Musing Mathematically - Nat Banting
Thoughts from a high school mathematics teacher on the teaching of mathematics, and the learning of mathematics. Posts, which date back to May, 2011, have included "Playing with Mean, Median & Mode," "Attaching a 'Why' to the 'How," "The Mathematics
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- NCTM San Diego Sessions on Humanistic Math - Mathematics Education at the Math Forum
A selection of presentations from the 74th Annual NCTM Meeting, April 1996, San Diego, CA.
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- Neat Math and Programs - Robert Simms, Clemson University
A Map of All Triangles (and see the Introduction to a Euclidean Model of Hyperbolic Geometry; Porch Things (the underlying structure is a cube); generating Pythagorean Triples (includes a JavaScript calculator and a way to generate them from one number);
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- Netlib Repository at UTK and ORNL - AT&T Bell Labs, Univ. of Tennessee, Oak Ridge National Laboratory
The Netlib repository contains freely available mathematical and statistical software, documents, and databases of interest to the numerical, scientific computing, and other communities. The repository is maintained by AT&T Bell Laboratories, the
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- A New Polyhedral Surface - Davide P. Cervone; The Geometry Center
Main entry point for pages that describe the recently discovered tight polyhedral immersion of the surface of Euler characteristic -1 into three-space and demonstrate one way that mathematics can be presented by means of a network-based multimedia hypertext
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- The Novel Polyhedra of Albert P. Carpenter - Albert P. Carpenter
A series of videos of slides exploring Exploded, Crown, Open and Lattice Polyhedra.
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- On the Puzzles with polyhedra and numbers - Jorge Rezende
Several articles in PDF format, with related links: one on a set of didactic puzzles published by the Portuguese Mathematical Society (SPM); "Jogos com poliedros e permutações", an article in Portuguese describing puzzles with polyhedra
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- Optical Illusions (SandlotScience.com) - SandlotScience
Interactive explorations of optical effects, illusions, distortions, animations, artwork, stories, PDF projects, games, and more. Impossible objects include columns, an endless staircase and animated stairs, Java triangle models, an interlaced tri-bar,
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- Orig4mi - Jorge C. Lucero
Origami na ciência, tecnologia e design. Desde outubro, 2008, este profesor da Universidade de Brasília tem escrito neste blog artigos diversos sobre origami, inclusive abrigos dobráveis de bambu, origami com moléculas de DNA,
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- Origami Mathematics - Tom Hull
Information on origami and the mathematics of paper folding. With an origami math bibliography and pictures and tutorials in origami geometric construction, as well as links to other origami sites and events.
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- Origami (The Geometry Junkyard) - David Eppstein, Theory Group, ICS, UC Irvine
An extensive annotated list of links to material on the Japanese art of paper folding, obviously geometrical in nature. Some origami masters have looked at constructing geometric figures such as regular polyhedra from paper. In the other
direction, some
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- Original Lesson Plans - Mathematics - Thirteen/WNET New York
Original Web-based activities developed by Thirteen Ed Online Master Teachers. Each lesson consists of an overview with learning objectives, procedures for teachers, and "organizers" for students -- hand-outs, bibliographies, and other materials. Math
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- Pages Mathématiques - Lycée de Vienne Saint-Romain-En-Gal (académie Grenoble)
Une série de cours de mathématiques: Géométrie du triangle; Transformations; Géométrie des cercles; Barycentres; Coniques et courbes; Solides; Statistiques; Fractales; Géométrie non euclidienne;
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- Panagiotis Stefanides
Geometry presented at national conferences in Greece. Contents include: Quantization of Circle Duality; Logos Pyr Chronos; 'Buena Fortuna' (artwork); Geometric Mean Ratio (T) by Ruler and Compass; Quadrature Master Theorem; Corollary (Circle Circumference
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- Paper Folding to Make Cubes (SMILE) - Koshy Kanicherilnalil, Chicago Public Schools
A lesson designed to develop students' ability to visualize three-dimensional objects from two-dimensional patterns by examining patterns of figures composed of six squares; predicting which of the twenty presented could be folded to make a cube; and
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- Paperforms: Polyhedrons for the Masses - John T. Vonachen
Geometric paper sculptures offered for sale.
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- Paper Models of Polyhedra - Gijs Korthals Altes
Dozens of paper models of polyhedra: Platonic and Archimedean solids, compounds, caleidocyli, and more. Print the images, cut, and glue them together, or download the models in zipped CorelDraw or GIF format.
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- Pasta by Design - George L. Legendre
Photos of architect Legendre's 2011 book by the same title. Pasta by Design provides an illustrated taxonomy of over 90 forms of pasta, along with the mathematical formulae, descriptions of special attributes, and advice on specific cooking uses for each
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- Pathfinder Services, Inc.
An Indiana-based nonprofit which, among other projects, creates mathematics teaching aids, including Recycled Math Manipulatives, Fraction Islands, Pattern Blocks Plus, and Polyhedra Plus. Full descriptions and ordering information are provided. They
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- Pearson Learning - Dale Seymour Publications
A leading publisher of educational materials, emphasizing math, science, and the arts. The site contains: an online catalog; math curricula include: CMP (the Connected Mathematics Project) and Investigations (Investigations in Number, Data, and Space,
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- Pentomino Relationships - Adrian Smith
The site describes how pentominoes (twelve pieces of wood, each a different shape and each made of five cubes) fit together into rectangles or cuboids, as well as the subsequent challenge of finding as many other solutions as possible from the one just
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- Philosophy of Science - David Banach
A syllabus and collected resources for a course in the philosophy of science, including excerpts from various books. Topics include ancient Greek science and mathematics: the Golden Section, Pythagoras, infinity and continuity, and Plato and Aristotle,
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- Photographic Polyhedron (Geometry and the Imagination) - Conway, Doyle, Gilman, Thurston; The Geometry Center
As you stand in one place and look around, up, and down, there is a sphere's worth of directions you can look. One way to record what you see would be to construct a big sphere, with the image painted on the inside surface. To see the world as viewed
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- Platonic Solids and Euler's Formula - Margo Lynn Mankus
The lesson plan for Platonic Solids and Euler's Formula offers definitions for simple closed surfaces, solids, and regular polyhedra. After observing platonic solids nets, students complete the provided (blank) table for recording vertices and edges of
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- The Platonic Solids and Polyhedra - Paul Flavin
The 5 Platonic Solids and one odd-ball polyhedron (a soccer ball). The kinship among the polyhedra is reflected in a 'family photo'. The polyhedra are laid out in a triangular pattern, with the tetrahedron alone in its row, joined with the other Platonic
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- Platonic Solids - Buckley; Metropolitan School District of Pike Township, Indianapolis, IN
A demonstration of the construction of the five Platonic Solids from Book 13 of Euclid's Elements. Contents include: Prop 13 - pyramid; Prop 14 - octahedron; Prop 15 - cube; Prop 16 - icosahedron; Prop 17- dodecahedron; and a Glossary Of Terms.
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- The Platonic Solids Information Site - Dan Radin
Information, computer graphics, a computer-animated video, teaching tools, and links pertaining to the three-dimensional geometry of the polyhedron in its many forms. Radin focuses particularly on the five Platonic solids--the tetrahedron, the cube, the
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- Platonic Solids - Paul Bourke
Definitions, formulas, and illustrations of the three-dimensional regular polyhedra: tetrahedron, octahedron, hexahedron (cube), icosahedron, dodecahedron, including the solids as drawn in Kepler's Mysterium Cosmographicum, and as represented in stone
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- Platonic Solids - Rüdiger Appel
Dwnload GIF animations, with shadow effects, of the five Platonic solids. Also available in German.
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- Platonische Körper - Klaus Bernt
Nets of the Platonic solids to fold. Download in postscript format for printing. In German.
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- Plato's Molecule - Ivars Peterson (MathTrek)
In his dialogue Timaeus, the Greek philosopher Plato (427-347 B.C.) carefully laid out his reasoning for ascribing certain geometric shapes to the minuscule particles that constituted the four elements of matter. In his view, these elements - fire, air,
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- Poly and Poly Pro - Pedagoguery Software
Mac and Windows shareware programs for exploring and constructing paper models of polyhedra. With Poly, you can manipulate a polyhedral solid on the computer and print out a flattened version (a net) which can then be cut out, folded, and taped, to produce
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- Polydron
British vendors of two and three dimensional, hands-on, geometric modelling systems and other geometric toys. Polydron Corporation history, online catalogue, and order form. To purchase Polydron products in the United States, contact Polydron International
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- Polyedergarten - U. Mikloweit
Photographs of paper models of uniform polyhedra, prisms and compounds. Versions of the site also exist in German and French.
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- Polygons, Polyhedra, Polytopes - Russell Towle
Polytope is the general term of the sequence, point, segment, polygon,
polyhedron, ... . Towle offers several pages devoted to the theory of polytopes, from polygons to star polytopes in 4-space, including Mathematica notebooks with constructions.
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- Polyhedra and Polytopes (The Geometry Junkyard) - David Eppstein, Theory Group, ICS, UC Irvine
An extensive annotated list of links to material on geometric properties of polygons, polyhedra, and higher dimensional polytopes (particularly convex polytopes).
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- Polyhedra Collection - V. Bulatov
Galleries of polyhedra shown using JPEG pictures and 3D objects in VRML2.0 format. Uniform polyhedra; Duals; Compounds; Johnson's solids; 59 stellations of icosahedron; 270 stellations of deformed dodecahedron; symmetric stellations of rhombic triacontahedron:
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- Polyhedra (Geometry and the Imagination) - Conway, Doyle, Gilman, Thurston; The Geometry Center
A polyhedron is the three-dimensional version of a polygon, a three-dimensional figure made by gluing polygons together. This handout discusses polyhedra, presents explorative activities, and supplies a "homework" assignment. Includes the first 20 Greek
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