Open Directory - Science: Math: Recreations: Tessellations
See also: - Graphics. - Adobe Illustrator plug-in that automates creation of surface designs and ornaments based on seventeen wallpaper groups. On-line purchase. - From the article "One Corona is Enough for the Euclidean Plane" by Doris Schattschneider and Nikolai Dolbilin. - This chaotic tiling consists of two equilateral pentagons, with angles (80, 160, 60, 140, 100) and (40, 200, 60, 100, 140). Sets are for sale. - Compiled by Yoshiaki Araki. - Java applet drawing repeated patterns with selected symmetry. - Definitions and images. - Includes symmetric icons and fractals, quilts and planar repeating patterns and colored wallpaper patterns. - Andrew Crompton's tiling and tessellation images. - Hans Kuiper's work. Tessellations and optical art. Also tessellation software with the 17 wallpaper groups. - Escher-like tessellations. - Explanations and graphics. - By Marjorie Rice. Pentagons that tile the plane. Includes details and links. - Links to activities and other resources. - A program for drawing symmetrical patterns based on any of the 17 wallpaper groups, as well as several frieze and rosette groups. - Software for Macintosh and SGI to create and manipulate tessellations of the sphere, Euclidean plane and hyperbolic plane, and to see how the Platonic solids are related to tessellations. - The graphic work of Chaim Goodman-Strauss, Arkansas. - University of Houston. Graphics and resources in symmetry and tiling. - Links in the Geometry Junkyard. - Known solutions and a new recipe. - Artist Eleni Mylonas uses tilings. - Compiled by Doris Schattschneider, Moravian College. - A Java applet which shows interactive wallpaper patterns. - Tilings of Squared Squares and Squared Rectangles, constructed using javascript. - Resources compiled by the Math Forum. - With interactive demos using Geometer's Sketchpad (requires Macintosh). - Tessellation software. 11 rosette, all 7 frieze and all 17 wallpaper groups included. - Pictures of some concrete tilings. - Compiled by Suzanne Alejandre for the Math Forum. - 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. - Description of a class project. - Examples and source code. - Graphics and references. - A collection of links. - A summary of the history behind the Penrose tiling in the math department at Miami university. - Applying principles of computer graphics to the creation of geometric ornament, as a continuation of the tradition of ornamental design using modern tools and algorithms. - An introduction to tessellations explaining the basic underlying mathematics, and with many examples from real life. - Images and descriptions of the 17 plane symmetry groups. - Activities to create patterns using simple resources, such as making equilateral triangle from a circle. Suitable for upper primary and lower secondary ages.
