 Minimal Snow  Ivars Peterson (MathTrek)
For a truly cool experience, there's nothing like transforming a 12foot, 20ton block of manufactured snow into a giant sculpture. That's the premise underlying the Breckenridge snow sculpture championships in Colorado, held annually in January. This
...more>>
 Mirror Curves  Slavik Jablan, Mathematical Institute, Belgrade
Making art by repeating a curve to make a more complicated design, by symmetry/reflection. This paper illustrates Tamil threshold designs, Lunda and Chokwe sand drawings, and the knots/curves of Leonardo da Vinci.
...more>>
 Miscellaneous Sketches: Linear Sketch, MidRhombus...  Key Curriculum Press
Sketches: a dynamic display of the equation of a line as you move it around; an illustration of the midpoint figure of a quadrilateral; a tessellation made in the pattern of a Navajo rug; a sketch that draws the regular polygon with given internal angle;
...more>>
 Modularity in Art  Slavik Jablan, Mathematical Institute, Belgrade
Jablan uses the word "modularity" to refer to the process of making art by repeating a simple block, tile, or motif to make a more complicated design, by symmetry/reflection and/or tessellation. This site includes a paper on such art and its math, linked
...more>>
 Morphing Art (MatheMUSEments!)  Ivars Peterson (Math Muse for Kids)
When you're riding along on your bike or in a car, you sometimes see the word "ONLY" painted on the roadway just before an intersection. The white letters look normal from where you're sitting. But if you were standing beside the "ONLY" instead of riding
...more>>
 Mostly Modular Origami  Valerie Vann
Modular Origami is a branch of the art of paperfolding. The earliest modular origami is probably Asian (Japanese, Chinese) in origin. Unlike regular origami, where a figure or sculpture such as a crane, frog or airplane is made from a single sheet of
...more>>
 Nathan Selikoff
Works, publications, blog, and more from a "fine artist playing at the intersection of interactivity, math, and code." Works have included "Beautiful Chaos" (interactive software art), "Intersect"
(a public art installation), "Four Dimensions" (a realtime
...more>>
 Native American Geometry  Chris Hardaker
A physical, proportional geometry that originates from the simple circle. A growing body of architectural and iconographic evidence suggests this geometry was a relatively common tradition and has been practiced for at least 2000 years. The site is divided
...more>>
 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.
...more>>
 New Geometric Tilings  Adrian Fisher Maze Design
A page that celebrates the beauty of 4, 5, 6, and 7fold geometric tilings, grouped according to the regular polygons that they fill. Where possible, actual dates and designers are stated. Nearly all these tiling examples are based on sides of the
...more>>
 NonEuclid  Joel Castellanos, Joe Dan Austin, Ervan Darnell
A Java program offering straightedge and compass constructions in hyperbolic geometry for high school and college students. A compressed version for PCs may be downloaded for use offline. The site includes an introduction to hyperbolic geometry, plus
...more>>
 Oliver Knill
Research, teaching, and media by this preceptor in Harvard's math department. Knill began in dynamical systems, tackling first ergodic and spectral theoretical questions, then probability theory and elementary number theory. This led to his "passion for
...more>>
 Oliver Sin
Theorems and likenesses of mathematicians painted, drawn, and sculpted on canvases, guitars, shoes, and other media by an EasternEuropean contemporary painter who mixes Neoexpressionism, Street Art, Dadaism, conceptual, and political art.
...more>>
 Online Class: Internet Education Projects  TBT International, Inc.
A model project to show teachers how to integrate technology into the classroom. Designed so that live, interactive content will draw out technical skills. Subscribe by classroom to receive a printed teachers' resource guide; materials delivered free
...more>>
 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 tribar,
...more>>
 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
...more>>
 Pattern  Drew, Wallace; Mathematics Across the Curriculum, Dartmouth College
An interdisciplinary course in textile design and elementary group theory. Syllabus, course pages (notes, figures, questions, group work and homework), final project and class artworks from a 1996 math and art crosscurricular class at Dartmouth College.
...more>>
 Pattern Pals  Kevin Roddy
If you like building designs with Pattern Blocks, you might enjoy being a Pattern Pal. Pattern Pals is a pen pal service with a twist: select a Pattern Pal Activity (Grab Your Crayons!; Adventures in Line; Symmetry; PaintbyNumber Pattern Blocks; Logo
...more>>
 paulus gerdes's Storefront  Paulus Gerdes
Purchase print editions or download Gerdes' titles, some also available in Portuguese, Dutch, and French: Drawings from Angola: Living Mathematics, Enjoy Puzzling with biLLies, Puzzle Fun with BiLLies, The Bisos Game: Puzzles and Diversions, Introducing
...more>>
 Peeze  Patrick Snels
Tessellations and Escherlike perspectives, and tessellations of names, with Peeze, a tessellation program (Windows, PC) to download.
...more>>
 Perspective Drawing  Jan Garner
An examination of geometry in art: exercises in drawing, pictures and paintings in perspective on the Web (Albrecht Dürer, the Ancient City of Athens exhibit).
...more>>
 Perspective Images  H. B. Meyer
The computation of image points of perspective images by the use of similar triangles ("numerical perspective") is shown. By inversion of the corresponding mapping equations the determination of proportions of various distances in the real scene becomes
...more>>
 Perspective Study  Hop David
David suggests a mapping from half of 3D space onto a plane, feeling that traditional perspective drawings are similar to the image projected by a pinhole camera. Perspective illustrations of arches, looking up or down at a skyscraper, peripheral vision,
...more>>
 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
...more>>
 Pieces 'n Creases: A Fun Guide to Origami  Herring, Long, Haeggquist, Jeremy; ThinkQuest Junior
Contents include the history of origami; uses and benefits; terms, symbols, and tips; origami and peace; poems about origami; activities, and resources for folding paper. An awardwinning entry from Vidor Middle School.
...more>>
 The PiFactory  David Whitfield
Revision notes, boardshots, and Excel worksheets to download, from when the author used to teach in North London. The PiFactory includes an opensource assessment suite, classroom resources, and concept maps. The PiFactory conveniently pulls together
...more>>
 Plane Patterns  Ivars Peterson (MathTrek)
Exploring the link between mathematical symmetry and artistic effort. One and twodimensional repeating patterns appear ubiquitously on surfaces, from quilts and colored fabrics to pottery and ceramic tiles... Analyzing the symmetries that underlie such
...more>>
 Planet Perplex  Stefan Van den Bergh
Collection of optical illusions, impossible objects, visual puzzles, and hidden images.
...more>>
 Plato's Molecule  Ivars Peterson (MathTrek)
In his dialogue Timaeus, the Greek philosopher Plato (427347 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,
...more>>
 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:
...more>>
 Potent Problems  Institute for Studies in Educational Mathematics
A database of problems that deepen understanding of mathematics through multiple answers, approaches to an answer, interpretations, extensions, perspectives on a mathematical idea, layers of complexity, or algorithms. Potent problem content topics include
...more>>
 POVRay  Persistence of Vision Raytracer Pty. Ltd
The Persistence of Vision RayTracer creates threedimensional, photorealistic images using a rendering technique called raytracing, which calculates an image of a scene by simulating the way rays of light travel in the real world. Download the latest
...more>>
 Project Interactivate  Shodor Education Foundation, Inc.
Interactive middle school lessons on number and operations, geometry and measurement, functions and algebra, and probability and statistics. They feature: online activities (illustrative Java applets including: Venn diagrams; clock arithmetic; Pythagorean
...more>>
 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,
...more>>
 Putting the Pieces Together (Making a Fractional Quilt) (SMILE)  Demetria E. McKnight, Bateman Elementary School
An lesson designed to motivate students to develop a sense of equivalent fractions; explore addition of fractions with unlike denominators; and learn to divide a whole number into specified equal parts. From the Arithmetic section of a collection of almost
...more>>
 Puzzle World  John Rausch
A searchable site with information and a discussion group (Puzzle Talk) about handcrafted mechanical puzzles. Most of the puzzles presented here are not the massproduced variety found in stores, but limited production puzzles produced by craftsmen (often
...more>>
 Puzzling Lines  Ivars Peterson (MathTrek)
Sol LeWitt has often featured geometric and combinatorial themes in his sculptures, paintings, and drawings. In 1973 he composed "Straight Lines in Four Directions and All Their Possible Combinations," a grid of 15 squares, each inscribed with one or
...more>>
 Quilt Block Patterns  Hester ButlerEhle
Links to a variety of quilt block patterns (fourpatch, fivepatch, ninepatch, and more). Several are suitable for replication using pattern blocks.
...more>>
 Quilt Design Program MiniReviews  Robert G. Holland, The Virtual Quilt Company
A brief review of several quilt design programs. Links permit you to download a demo version of some programs. QuiltPro is the Windowsbased program of choice.
...more>>
 Quilts for all Seasons  Mary Murnighan
Quilts made in the classroom can illustrate basic concepts, including a multiplication table and square root quilt, shown.
...more>>
 QuizStar  Advanced Learning Technologies, Center for Research on Learning at The University of Kansas
Create online quizzes and organize the results. Features include the ability to attach multimedia files to questions, to make quizzes in multiple languages, and more.
...more>>
 Recipes for Pi  Anna Weltman
Blog born partly "out of a mixture of enthusiasm and anger about the ways that the world learns and shares math." Posts, which date back to February, 2012, have included "Tinker, Tinker, Algebra Student"; "Beauty Is a Math Art Class"; "The Mathematics
...more>>
 Recursos de Matemáticas en Internet  Flavio P.
Información buscable, dividida en categorías que contienen enlaces comentados: altas, actividades, actualización, apuntes, buscadores, congresos, debate, enlaces, Escher, fractales, historia, lista general, Olimpiadas, publicaciones,
...more>>
 Redecorator Fractal Wallpaper Manager  Seraline P/L, Sydney, Australia.
A wallpaper manager, or randomizer, and image creator for Windows 95/98/NT/2000. Redecorator can change your desktop wallpaper as often as you like, creating seamless tiles and fractals.
...more>>
 Religious Beliefs Made Visual: Geometry and Islam  Jane Norman, Consultant, Metropolitan Museum of Art
Although the shapes and structures are based on the geometry of Euclid and other Greek mathematicians, Islamic artists used them to create visual statements about religious ideas. A discussion of the use of geometric motifs in Islamic art, with instructions
...more>>
 Rinus Roelofs
Geometric sculpture, animation, structures, and "rhinoceros" (knots) by Roelofs, who exhibited as part of the Escher Centennial celebrations. After studying Applied Mathematics at the Technical University of Enschede (Netherlands), Roelofs earned a degree
...more>>
 sarahmarie belcastro's home page  SarahMarie Belcastro
From one of the authors of Making Mathematics with Needlework: "I seem to have become a topological graph theorist while I wasn't looking. I am also interested in convex and combinatorial geometry, algebraic geometry, topology, algebra, the geometry of
...more>>
 Scales of Measurement  Niel Brandt
An extensive list of physical and mathematical events and objects in ascending values and orders of magnitude.
...more>>
 SciPhilately: A Selective History of Science on Stamps  Maiken Naylor; Science and Engineering Library, Univ. at Buffalo, Buffalo, NY
Stamps from the personal collection of the author, Maiken Naylor, in the following categories: Astronomy and Cosmology; Instruments and Measurements; Mathematics and Computation; Chemistry; Evolution and the Fossil Record; Biology; Heredity and the Genetic
...more>>
 Scott Kim, Puzzle Master
A puzzle and graphic design creator, Scott Kim offers links to his online puzzles, a gallery of inversions (or ambigrams, words or names written so they read in more than one waysome read upside down, some flip in a mirror, some read as two different
...more>>
 
