Tutorials and templates for making tessellations using ClarisWorks, the Geometer's Sketchpad, HyperCard, HyperStudio, and straightedge and compass, including step-by-step instructions for classroom activities.

In this online exhibit, the study of symmetry is used to analyze patterns in Oriental carpets. A joint project of The Textile Museum and The Math Forum.

Computer Art by Hans Kuiper This is a site about Tessellations (Tiles, Tessels or Regular Patterns), Infinity pictures, Optical Art, Optical Illusions, Islamic Art, Auto Stereograms, Company Logo's, Quilt Patterns and Palindromes. I want to see this page in Dutch M.C. Escher was a Dutch artist. He is famous because of his drawings with a regular division of the plane. I enjoy to design Figures ...

Pedagoguery Software Inc. Die-Cast Metal Models Mathematics Software GRAFEQ Poly Poly Pro Tess Download Register Contest 2002 Mathematics Tokens Models Posters T-Shirts GIF Software A Smaller GIF COGS GifgIfgiF itsagif Free Software iTime NETime Contact Information Email Policy With Tess, you can quickly create attractive symmetric planar illustrations. While you draw, Tess will automatically ...

Bringing together art and mathematics to make the puzzling fun Click on the choices below to explore the world of Tessellations! Our Products How to Buy Our Products Really Cool Stuff The Mathematical Art of Robert Fathauer Lessons and Solutions About Tessellations Books, Articles & Links Dr. Fathauer's Encyclopedia of Fractal Tilings &copy 2000 Robert Fathauer Webmaster: Robert Fathauer; ...

Escher like tessellations that I made.

Computer Art by Hans Kuiper 17 Wall Paper Symmetry Groups to Create a Regular Division of the Plane Parallelogram (2x) Rectangle(5x) Rhombus(2x) Square(3x) Hexagon(5x) P1-tessellations PM-tessellations CM-tessellations P4-tessellations P3-tessellations P2-tessellations PMM-tessellations CMM-tessellations P4M-tessellations P3M1-tessellations PG-tessellations P4G-tessellations P31M-tessellations ...

Catalog of Isohedral Tilings by Symmetric Polygonal Tiles From the article One Corona is Enough for the Euclidean Plane. Authors: Doris Schattschneider Moravian College 1200 Main St. Bethlehem, PA 18018-6650 USA schattdo@moravian.edu Nikolai Dolbilin Steklov Mathematical Institute Gubkin 8, 117966 Moscow GSP-1 Russia nikolai@dolbilin.mian.su Published in Quasicrystals and Discrete Geometry, ...

Tiling One way to define a tiling is a partition of an infinite space (usually Euclidean) into pieces having a finite number of distinct shapes. Tilings can be divided into two types, periodic and aperiodic, depending on whether they have any translational symmetries. If these symmetries exist, they form a lattice. However there has been much recent research and excitement on aperiodic tilings ...

Computer graphics, symmetric chaos, patterns, symmetry ...

Hyperbolic Tessellations A regular tessellation, or tiling, is a covering of the plane by regular polygons so that the same number of polygons meet at each vertex. No doubt, the tessellations of the Euclidean plane are well-known to you. They are: {3, 6} in which equilateral triangles meet six at each vertex; {4, 4} in which squares meet four at each vertex; and {6, 3} in which hexagons meet three ...

Links to other sites about tessellations.

Welcome to Eleni Mylonas' web site - Artist, Photographer, Sculpturer. ...

GECKO STONE Tessellated, Interlocking Concrete Pavers & Molds Make your own truly interlocking* concrete pavers with a high quality polyurethane mold - the same durable rubber as skateboard wheels. Properly cared for, these unbreakable molds will retain their value over the years. Surface detail is in the molds. Each mold comes with complete instructions on mixing concrete, coloring, casting, ...

Tiling Plane & Fancy The 17 wallpaper groups | definitions | Tiling and Patterns from Historical Sources | Tiling arranged by Symmetry group Links |References | Open questions | Pythagorean Theorem | Color Tiling Tiling Slide Show Tiling from the mathematical and historical viewpoint Site maintained and 2000-2002 Steve Edwards. All otherwise unattributed images Steve Edwards email: ...

Gallery - examples with the 17 wallpaper groups All wallpaper groups represented with online interactive JavaSketchpad files. Gallery - step by step guides to Wallpaper groups with GSP The guide shows through interactive JaveSketchpad files how to construct wallpaper designs using Geometer's Sketchpad.

Seventeen Kinds of Wallpaper Patterns We find such repeated patterns on wallpaper everywhere in our daily life. Have you considered how many kinds of repetitions there are for patterns on a plane Do you think there are five or six kinds No, there are seventeen! We can show this using the mathematics of group theory. The following tables show examples in traditional Japanese patterns: (A) ...

Penrose Tiles Penrose was not the first to discover aperiodic tilings, but his is probably the most well-known. In its simplest form, it consists of 54- and 72-degree rhombi, with matching rules forcing the rhombi to line up against each other only in certain patterns. It can also be formed by tiles in the shape of kites and darts or even by deformed chickens (see the perplexing poultry entry ...

The 14 Different Types of Convex Pentagons that Tile the Plane Many thanks to Branko Grunbaum for assistance with this page. An article by Doris Schattschneider about pentagons is available here. Her interactive tiling page is here. John Savard has put together a beautiful page about a pentagonal tiling system originally discovered by Kepler here. Bob Jenkin's half-bath has a beautiful tiling ...

Seattle artist Kenneth Landry's prints, illustrations, and tessellations ...

This header plots the critical line of the Riemann Zeta Function. A complete understanding wins a $1, 000, 000 prize. . . . Main Links Orders Post Next Page Next + 10 CHAOS TILES ARE NOW ON SALE! You can see the rules for the game I've developed here. See Pictures. The game consists of 50 convex and 40 concave domino-like pieces. With a dozen or so sets, you could cover a table with the pattern ...

Pentagons that tile the plane The problem here is to find a single tile shape with five sides which can tile an infinite floor without leaving holes. I tried finding new solutions, but I think all the tiles I found had been previously found by someone else. Someone claimed the recipe I was using in my search was new. Here are the known solutions: (even better pictures are on Mike Korn's page) I ...

A unit by Lari Garrison lari@iconnect.net Warren Township High School According to the NCTM Standards geometry provides an opportunity for students to experience the creative interplay between mathematics and art. This project is specifically designed to allow students to demonstrate their ability to create art using transformational geometry. Many high school students are familiar with the ...

Tessellations with Java By Roseann Krane, Monte Vista HS, Danville, CA, and students: Jefferson Ng, Mike Carns, and Amber Bullington, and Sherida Hare, Bellport HS, Brookhaven, NY, editor Understanding symmetry is essential to the understanding of Escher art and understanding symmetry involves a familiarity with the movements that mathematicians call transformations. (Jill and Walter Britton) ...

PDF Version The Penrose Tiling at Miami University by Dr. David Kullman, Mathematics and Statistics Department In September, 1976, Miami University held its Fourth Annual Mathematics and Statistics Conference. The theme that year was Recreational Mathematics and among the featured speakers were John Conway, Elwyn Berlekamp, David Klarner, Doris Schattschneider, L eon Bankoff, and Wolfgang Haken.

William's Home Page A collection of activities to help enrich mathematical learning. All use simple materials. Shapes and Patterns made from Paper Circles Geometrical Activities with Magic Paper Making and learning from shapes created simply from A Paper Window Patterns From Geometrical Shapes Overlay paper triangles, kites or rectangles to make Stars Where There Are No Instruments Using Books ...