 3D Drawing and Geometry  Cathi Sanders
A Math Forum Summer 1998 Institute project that uses examples of paintings, architecture, etc. to analyze different types of 3D drawings, and teaches students how to create them. Careers in 3D drawing that use these techniques, from architecture to
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 5 Numbers  Simon Singh and Marcus du Sautoy, BBC Radio 4
Web pages and Real Audio Music downloads of fifteen minutelong radio broadcasts that take a "quirky look" at zero, pi, the golden ratio, i, and infinity. "Hear about the stark reality behind the imaginary number, try a slice of pi, find out about the
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 BitArt  Robert J. Krawczyk
Illustrated introductions to spirolaterals and strange attractors. See a selfrunning demonstration of a variety of spirolaterals, or generate one of your own and see all the reversals. The link of current exhibits lists installations showing strange
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 Build a Recreation Center Using Geometry  Gwen Neuberger, Community High School, West Chicago, IL
"Our geometry class is being asked to design a recreation center for the children of West Chicago. Money is no object. The class will be divided into groups of approximately four students." The site includes a lesson plan and scenario, as well as pages
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 CARTESIO  Camillo Trevisan
An educational computer graphics program for Windows and Macintosh, providing an understanding of the geometric configuration of projections (for example, the positions of the projection plane and viewpoint relative to the Cartesian axes).
All projection
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 Coop City  Peter Barricelli
A classroom project involving the construction of scale models of buildings and towns. In addition to teaching ratio and proportion, the process introduces the students to blueprint and CAD (Computer Aided Design) programs.
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 Culturally Situated Design Tools: Teaching Math through Culture  Ron Eglash
Java for creating your own Mangbetu design, cornrow curves, graffiti, bead looms, SimShoBan, Yupik star navigator, Yupik parka patterns, PreColumbian pyramids, and rhythm wheels  and learning the mathematics behind them. Organized into African, African
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 Exactly How Is Math Used In Technology?  Mathematics Dept., British Columbia Institute of Technology
A table of examples of how various areas of mathematics are applied to various areas of technology. Areas of technology include biomedical engineering, food technology, building technology, chemical sciences, civil and structural engineering, graphics
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 Fibonacci Numbers and the Golden Section  Ron Knott
Information about the Fibonacci series, including a brief biography of Fibonacci, the numerical properties of the series, and the ways it is manifested in nature. Fibonacci numbers are closely related to the golden ratio (also known as the golden mean,
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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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 Frieze Patterns  David A. Reid
A frieze is a pattern which repeats in one direction. Friezes are often seen as ornaments in architecture. A mathematical analysis reveals that there are seven different frieze patterns possible. These resources were designed for a standardsbased project
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 Geometry In Action  David Eppstein, Theory Group, ICS, UC Irvine
A collection of applications of computational geometry: areas in which ideas from discrete and computational geometry (meaning mainly lowdimensional Euclidean geometry) meet some real world applications, with brief descriptions of those applications
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 The Golden Mean  Rashomon (K. Wiedman)
The Golden Mean or Golden Section was derived by the ancient Greeks. Like pi, the number 1.618... is an irrational number. Both the ancient Greeks and the ancient Egyptians used the Golden Mean when designing their buildings and monuments. Links to pages
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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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 HelpingWithMath.com  David Burns, HelpingWithMath.com
Worksheets, printable tables and charts, and online tools. Browse by subject or grade.
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 Hope's Books  Hope Martin
Math workbooks for elementary, middle school, and high school teachers, designed to integrate handson, motivating activities with skills and concepts reflecting the new Standards. Also workshops for teachers. Books to order online include: What Year
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 Illusions of Depth (Elementary Art Lessons, Arts Wire)  Michael Delahunt
A 3rd grade lesson plan on "Seeing Near and Far": students learn how overlapping and size differences show perspective, and that on a level surface, the lowest part of a near subject is lower in a picture than the lowest part of a farther subject, recognizing
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 The International Society for the Arts, Mathematics, and Architecture (ISAMA)
Furthers interdisciplinary education relating the arts, mathematics, and architecture. Conferences and membership information.
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 The Internet Mathematics Challenge  Julie Houston and David Trask
Explore the geometry of architecture, and share your observations with the students who built this site. With a Javaenabled browser, mouse over pictures of buildings to find the angles, arches, and other geometric figures appearing in Durham Cathedral,
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 ISAWI Laboratory  Hasan Isawi
Geometria_descrittiva; La Cupola della Roccia  graphic representation of architectural plans; static and/or dynamic montage of any real or virtual image. Graphic representations for thesis and university examinations. Gallery of images.
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 Mark's Maths and Excel Pages  Mark Dabbs
Geometry topics presented with the aid of downloadable Geometer's Sketchpad (GSP) files; see, in particular, Japanese temple geometry. Two comprehensive Tutorials in Excel spreadsheet form are provided for intermediate and advanced (VBA) users, and an
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 Math Bibliographies  Dept. of Mathematics, University of Florida
A collection of bibliographies, with two distinct search mechanisms. Contents: Introduction; More about WAIS; More about Glimpse; Bibliography on ergodic theory and dynamical systems; Bibliography on harmonic maps; Journal of Differential Geometry; VAF
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 Math Craft  Cory Poole, administrator
A community "dedicated to the exploration of mathematically inspired art and architecture through projects, community submissions, and inspirational posts." Share images, videos, and other resources on the corkboard; post questions to the forum. The blog
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 The Mathematical Tourist  Ivars Peterson
"Cool stuff" that Peterson, the Director of Publications and Communications at the Mathematical Association of America (MAA), encounters while "browsing the world of mathematics and computer science: new developments in math and its applications, old
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 Mathematics Across the Curriculum (MATC)  Dartmouth College
An NSFfunded project which strives to integrate the study of mathematics into the whole curriculum. MATC Courses: Mathematics and the Humanities (Pattern, Chaos, Late Renaissance Thought and the New Universe, Math and Science Fiction, Geometry in Art
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 Mathematics in Art and Architecture  Helmer Aslaksen
An interdisciplinary course on mathematics in art and architecture, including the pyramids, Dürer and da Vinci, kaleidoscopes, the Golden Ratio and the Platonic solids, symmetry and patterns, music, Vitruvius, mazes and labyrinths, the origin of
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 Mathematics Museum (Japan)
Exhibits: Deformation of Catenoid to Helocoid; Geometry of wallpaper patterns (with interactive examinations); MathCut Studium; SolitonLab Art Gallery; Sangaku (Japanese temple geometry problem); The beauty of surfaces; Kodawari House, Keiichi Suzuki's
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 Maths in the City  Marcus du Sautoy, University of Oxford
Mathematical walking tours of Oxford and London led by "mathemagicians" who reveal examples of maths hidden in the Beehive, the Bridge of Sighs, the Gherkin, the Sheldonian Theatre, St. Paul’s Cathedral, and satellite dishes and death rays. Click on the
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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 timecapsule competition sponsored by the New York Times Magazine. Watch a Shockwave animation of Ad Quadratum generation that
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 Museum of History of Science, Florence, Italy
A bilingual (Italian and English) site providing research capabilities within the Italian Bibliography of Science History and the Library of the History Of Science Museum. Includes an online exhibition on Mechanical Marvels  Invention in the Age of Leonardo,
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 Museum of the History of Science  Oxford University, U.K.
The Museum houses a collection of historic scientific instruments in the Old Ashmolean on Broad Street, Oxford, covering almost all aspects of the history of science, from antiquity to the early twentieth century. Particular strengths include the collections
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 MVC (Metroplex Voice Computing)
Hands and mousefree arithmetic and math programs for the physically impaired student who cannot use the keyboard. Voiced mathematics products include: ArithmeticTalk (grades 15, for addition, subtraction, division, and multiplication); MathTalk (grades
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 Nexus Network Journal: Architecture and Mathematics Online  Graham Foundation for Advanced Studies in the Fine Arts
A peerreviewed research resource for studies in architecture and mathematics, published quarterly on the Internet and annually in print by Kim Williams Books.
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 Nummòlt  Maurici Carbó Jordi
Java applets: an area "workshop," which explains area and division by converting numbers in area units; an architect's toy blocks, with gravity; connecting and programming elementary logic (in the form of pipes with light bulbs signifying true sentences);
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 peterlu.org  Peter Lu
Publications and research into medieval Islamic geometry (e.g., decagonal and quasicrystalline tilings in its architecture), softmatter and colloid physics, highperformance imaging, ancient Chinese technology (e.g., first use of diamond, early precision
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 Plexagon  Pleated Hexagon  Paul Bourke, Ron Evans
Plexagon is a new modular geometry based on the radial pleating of polygonal plates, and their joining or cobracing into 3D modules. This engineering approach can form a very practical basis for modular greenhouses (using recycled plastic sheeting) and
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 The Projects of R. W. Gray  Robert W. Gray
Geometric coffee tables, an introduction to polyhedra and the jitterbug (a dynamic polyhedron) that draws on the golden ratio, a collection of notes with respect to R. Buckminster Fuller's work, photos of a dome frame Gray built with students at Oswego
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 PUERTRA  Javier Sánchez González
The software package PUERTRA implemented a theoretical study of formal properties of Islamic geometrical art. PUERTRA modeled the Islamic rectilinear interlaced lattices found extensively in wood work (artesonado ceilings, mosque minbars, doors and windows,
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 R. Buckminster Fuller on PBS  Thirteen / WNET
A biography of R. Buckminster Fuller, with explanations and illustrations of inventions such as the Dymaxion house, Dymaxion car, Dymaxion bathroom, and geodesic dome. Explore Fuller's Dymaxion map, John Kuhtik's Fly's Eye Dome, the World Game, and the
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 Sketchpad 3.0 Gallery  Finzer, Jackiw; Key Curriculum Press & The Math Forum
A collection of sketches and scripts that show off new features of version 3 of the Geometer's Sketchpad in categories: Arcs and Architecture; Algebra and Beyond; Physics; Statistics; Curves; and Poincare Disk.
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 Sliding Pi  Ivars Peterson (MathTrek)
"The entrance to the Downsview subway station in Toronto presents visitors with a striking vista. A vast mosaic of square tiles sweeps across a curved wall, inviting viewers to trace its lines and ponder intriguing irregularities
in its color scheme
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 The STEM Collaborative  Maryland Public Television, Arkansas Educational Television Network, Alabama Public Television, and Kentucky Educational Television
The four online adventures Scale City, ProportionLand, Math by Design (architecture), and Rock 'n Roll Road Trip (music) engage students to use geometry, algebra, and proportional reasoning for skateboard ramps, cooking, amusement park roller coasters
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 Temple Circles  Ivars Peterson (MathTrek)
One tradition that flourished 200 years ago in Japan, during its period of isolation from the western world, involved Euclidean geometry. Scholars and others would inscribe geometric problems on wooden tablets, then hang the tablets under the eaves of
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 Tensegrity Structures  Paul Flavin
"Compression and Tension are good; Torque's a Killer. Plato, Fuller and the three little pigs." "Cubes (constructed with beams) and houses can and do collapse when a sufficient horizontal (shearing) force is applied above the foundation. The walls act
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 Tips & Tricks to Gothic Geometry  Joe Chiffriller; NewYorkCarver.com
The geometry of gothic cathedrals: how to construct a trifoil design, an ogee arch, and a rose window. With links to cathedral and castle tours.
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 The Tunnel of Samos  Project MATHEMATICS!, California Institute of Technology
A videotapeandworkbook module that explores a basic topic in high school mathematics in ways that cannot be done at the chalkboard or in a textbook. This video describes a remarkable engineering work of ancient times: excavating a onekilometer tunnel
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 Turtle Tracks  Ivars Peterson (MathTrek)
One way to describe a geometric figure is in terms of the path generated by a moving point. Using the computer language LOGO, children can produce a list of commands to govern the motion of a "turtle" and trace out a geometric track on the computer screen.
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