- 3-D Drawing and Geometry - Cathi Sanders
A Math Forum Summer 1998 Institute project that uses examples of paintings, architecture, etc. to analyze different types of 3-D drawings, and teaches students how to create them. Careers in 3-D drawing that use these techniques, from architecture to
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- The Absentminded Artist's Fractal Art Parade - Douglas R. Cootey
Fractal images treated as a photographer would treat a landscape, incorporating design and color composition into each piece. Images were made with Fractal eXtreme, Ultra Fractal, FractalPro, Lyapunovia, and Mand2000.
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- Affiches dans le métro - Centre de recherches mathématiques
Campagne d'affiches dans le métro de Montréal (celebration de l'Année mondiale des mathématiques). Voir aussi la série d'affiches de Stéphane Durand, qui a remporté le premier prix du concours international
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- Alex Bateman's Origami Page
Models by Alex Bateman, Dino Andreozzi, Nick Robinson, and a duck by Edwin Corrie. Includes directions for folding some origami tessellations: square dance, honeycomb, linked circles. Spirals based on Voderberg's tilings, tessellations based on 6.3.6.3
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- Algorithmic Art - Fractal Art Gallery - Manfred W. Rupp
Unusual fractals with nonstandard algorithms - geometric patterns made using FRACTINT that rely on mathematical models.
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- Algorithmic Image Gallery - Giuseppe Zito
Each picture is the door of a room in the gallery, composed by taking a pixel for each picture in the room. All the pictures in a room are produced by the same algorithm, changing only one or more parameters. Click inside the door and you will get the
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- Amsterdam Tessellation Projects - M. Hos-McGrane
Student tessellations created using the software program Tesselmania, inspired by a class trip to the Escher Exhibition in Rotterdam, The Netherlands.
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- Animals & Art - M. Crook
A gallery of fractal images created using Ultra Fractal.
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- Arabesco
- Hasan Isawi
Freehand designs elaborated with Autocad and Photoshop to create arabesque images. Site is in Italian.
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- Archimedes - Chris Rorres, Drexel University
A collection of information on Archimedes' life and achievements, complete with historical quotes, illustrations, and animations. The site covers Archimedes' inventions and accomplishments: Archimedes' Claw, Burning Mirrors, the Golden Crown, the Archimedes
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- Art and Mathematics - Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about art and mathematics, such as "Do you know ways that art can be linked to mathematics?"
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- artchives / artists / MATH - SunSITE
The SunSITE Mathematical Art Gallery from the SITO Artchives - images by math artists (under copyright). Fractals and many other kinds of images; with biographies of the artists.
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- Arte Matemática - TV Cultura
Introducões, entrevistas, e programas sobre geometria, números, simetria, perspectiva, tempo, espaço, ritmo, beleza, ordem, caos, o número de ouro, Pítagoras, e mais. Com biografías curtas de autores e artistas.
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- An Artist's Timely Riddles - Ivars Peterson - Science News Online
The late 19th and early 20th centuries were a time of great popular interest in visualizing a fourth spatial dimension - a concept that appeared to offer painters and sculptors, in particular, an avenue of escape from conventional representation. Moreover,
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- Artlandia Kaleidoscope - Artlandia, Inc.
A fully interactive program based on and available free with the purchase of the software program Artlandia (requires Mathematica 3.0 or higher; available for all platforms that run Mathematica). It
is as easy to use as an ordinary kaleidoscope - create
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- The Art of Fractals - Joseph Trotsky; Artis Fractal Gallery
An online fractal exhibition with images grouped into the themes Paintings, Legends and Fairy Tales, Places, Flowers, Foliage, Trees and Forest, Fauna, Landscapes, Classic, Geometric, Marine, Mystic, and Zodiac.
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- The Art of Renaissance Science: Galileo and Perspective - Joseph W. Dauben, McMurry University
A hypermedia essay devoted to the genius of Galileo and the relation between his role in the Scientific Revolution and the equally remarkable achievements of Renaissance artists reflected, in part, in the discovery and application of mathematical perpective.
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- Art of the Grid - Ivars Peterson (MathTrek)
The idea of transferring information from one grid to another has a long history inboth mathematics and art. When the blank grid differs from the original grid, a drawing can suffer intriguing distortions. In art, the result is sometimes called an anamorphic
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- Art of the Tetrahedron - Ivars Peterson (MathTrek)
"Any four points in space that are not all on the same plane mark the corners of four triangles. The triangles in turn are the faces of a tetrahedron. It's the simplest of all polyhedra--solids bounded by polygons... To sculptor Arthur Silverman of New
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- Atlantis Puzzles & Games - Karl Scherer
Puzzles and games for sale; puzzle books (A Puzzling Journey To The Reptiles And Related Animals; NUTTS And Other Crackers; New Mosaics - A Book On Tilings); Fractal computer art; brain teasers (A-Maze; Globetrotter). Also ALIVE, a WINDOWS version of
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- The Aztec Calendar: Math, Geometry, and Design - Charles William Johnson
A site that explores the relation between the mathematics of ancient reckoning systems, expressed in historically significant numbers (cited in the historical record), and designs within the geometry of ancient artwork. The complexity of design within
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- Between the Folds - Corporation for Public Broadcasting
Exploring the science, art, creativity, and ingenuity of origami, Between the Folds chronicles the stories of ten leading paperfolders and their works of art. The game "Match the Folds" presents three finished works of origami alongside the fold pattern
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- Biography of M. C. Escher - Thames and Hudson's Escher Interactive
A biography of the well-known, early 20th century artist. Escher's work is famous today for the imaginary worlds he created. He combined bizarre creatures and spatial illusions with craftsmanship and love of detail. Born in Holland in 1898, the son of
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- BitArt - Robert J. Krawczyk
Illustrated introductions to spirolaterals and strange attractors. See a self-running 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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- Boy's Surface (Student Sculpture) - Pau Atela, Smith College
A mathematical sculpture constructed by students at Smith College for an undergraduate course in the spring 2000 semester. The students worked with formulas and computer calculations to construct and weld a 6'7" x 6'7" metal sculpture reproducing Boy’s
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- Breaking the Light Barrier - Michael H. Walker
Galleries of fractal images: Flarium 1, Inkblot 1, etc.
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- The Bridges Organization: art and mathematics - George W. Hart, Webmaster
The Bridges Organization oversees an annual conference on connections between art and mathematics. The site's virtual museum shows sculpture, paintings, drawings, digital prints, textiles, origami and other paper-foldings created by mathematicians and
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- Brighten's Fractals Page - Brighten Godfrey
Investigate "Just Another Fractal Generator," a Java applet to make Iterated Function System (IFS) fractals based on triangles, or view a gallery of images created using the program.
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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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- Calendrical Calculations - Nachum Dershowitz and Edward M. Reingold
A book about the algorithms used to calculate different calendars (Gregorian, Julian, Mayan, Hebrew, Persian, and more.) The preface, table of contents, index, and a sample chapter are available in PDF and PostScript formats. Other book resources include
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- Centre for the Popularisation of Mathematics - Ronnie Brown, School of Mathematics, University of Wales, Bangor
The Centre's goal is to present Mathematics to as wide as possible an audience, and to give an impression for mathematics of its objects of study, methodology, successes and applications, enjoyment, and the wider context. Includes the WWW version of the
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- Chaoscope - Nicolas Desprez
Software to render 3D strange attractors such as IFS, Julia, Lorenz, and pickover. Browse the gallery, participate in the monthly contest, check the freeware's manual, learn from tutorials. Also available at http://www.btinternet.com/~ndesprez/.
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- The Chaos Metalink - Industrial Street Productions
A site designed as an ongoing resource for all those interested in Chaos science and things fractal. This site is sponsored by Images of Chaos, an Artwork for Television and Industrial Street Productions as a service to the Chaos community. Featured Sites;
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- Christmas With The Polyiamonds Puzzle Family - Jos H. Hindriks
Polyiamonds share their general principles with Pentominoes, except that their basic 'cell' is the sixty-degree triangle instead of the square. The term 'Polyiamonds', derived from the word 'diamond', was introduced in 1961 by T.H. O'Beirne. Hexiamonds,
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- Computational Geometry - Joseph O'Rourke
Computational Geometry is concerned with designing algorithms and computer programs to perform geometric computations. A need for such computations arises in many fields: computer graphics, robotics, pattern recognition, geography, manufacturing, etc.
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- Computer Art and Tessellations - Hans Kuiper
A site about tessellations (tiles, tessels or regular patterns), infinity pictures, optical art, Islamic art, optical illusions, auto stereograms, company logos, quilt patterns and palindromes. Figures, patterns, textures and wallpaper drawings inspired
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- Computer Generated Art Gallery - Tom Ellis
Original computer-generated fractal images. Mandelbrot Sets; Mandelbrot zoom rendered onto a sphere.
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- Computer Generated Islamic Star Patterns - Craig S. Kaplan
Islamic star patterns are a beautiful and highly geometric art form whose original design techniques are lost in history. This site describe one procedure for constructing them based on placing radially-symmetric motifs in a formation dictated by a tiling
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- Co-op 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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- Crashing Waves, Awesome Explosions, Turbulent Smoke and Beyond: Applied Mathematics and Scientific Computing in the Visual Effects Industry [PDF document] - Aleka McAdams, Stanley Osher, and Joseph Teran
The May 2010 issue of the Notices of the American Mathematical Society includes a PDF article (1.3M) entitled "Crashing Waves, Awesome Explosions, Turbulent Smoke, and Beyond: Applied Mathematics and Scientific Computing in the Visual Effects Industry."
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- Crystals: Crystallography & Systems - Suzanne Alejandre
A Math Forum Web Unit. Students studying polyhedra enjoy seeing the structures as they occur in the real world. Crystalline structures can be categorized into seven crystal systems: see photographs of beautiful crystals or make paper models of crystals
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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, Pre-Columbian pyramids, and rhythm wheels -- and learning the mathematics behind them. Organized into African, African
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- Curricula, Lessons, and Activities - ARTSEDGE
Annotated links on the Internet and additional offline resources highlighting lessons that interrelate the study of math with the arts. Organized into online curriculum, and related online resources of primary resources and indices.
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- Dancing with Mathematics: Mathematics Related to Contra Dancing - Larry Copes
The mathematics of contra dancing. The essay has three sections -- What's contra dancing? What mathematics is in contra dancing? and More abstractly -- and links to figures illustrating contra dance symmetries and geometric transformations.
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- Delta Blocks - Hop David
A way to model different 3-D tessellations and a tool for studying geometry, crystallography, and polyhedra. Delta blocks were inspired by M. C. Escher's print "Flatworms," which he said demonstrates that one can build a house not only with the usual
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- Design Ideas - Julie Coghill
A series of articles that discuss quilt design using proportion, asymmetry, and Pythagorean triples.
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- Designs with Circles - Suzanne Alejandre
A Math Forum Web Unit. Includes some background on circles in Islamic cultures, and an activity exploring the geometry involved in some circle designs.
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- Diario Fractal - Today´s Fractal - Juan Pablo Braña
A site from Buenos Aires, in English and Spanish, with a different fractal art image every day and archived galleries of past images.
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- Divisor Plot - Jeffrey Ventrella
"We hear of primes described as the 'building blocks' of all numbers. Let's turn that concept on [its] head. Instead, let's think of primes as the negative spaces behind complex objects. Imagine a series of picket fences stacked in front of each other.
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- Dramatic Results
This non-profit educational arts agency improves students' academic confidence and performance "by stimulating curiosity and fostering creativity through a hands-on, arts-based approach to learning." Dramatic Results specializes in curriculum that integrates
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