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Mathematical recreations involving tessellations or tiling.
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Symmetry and Pattern: The Art of Oriental Carpets - Resources compiled by the Math Forum. Artlandia SymmetryWorks - Adobe Illustrator plug-in that automates creation of surface designs and ornaments based on seventeen wallpaper groups. On-line purchase. Squared Squares and Squared Rectangles - Tilings of Squared Squares and Squared Rectangles, constructed using javascript. The Geometry Junkyard: Tilings - A collection of links. Tessellation Links - Compiled by Suzanne Alejandre for the Math Forum. The 14 Different Types of Convex Pentagons that Tile the Plane - Graphics and references. Grotesque Geometry - Andrew Crompton's tiling and tessellation images. Hop's Escher Tessellation Tiles - Escher-like tessellations. Hyperbolic Tessellations - Explanations and graphics. Tessellations with Java - Examples and source code. Chaos Tiles - 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. Quasi-Periodic Tilings - Artist Eleni Mylonas uses tilings. Catalogue of Isohedral Tilings - From the article "One Corona is Enough for the Euclidean Plane" by Doris Schattschneider and Nikolai Dolbilin. Tessellated, Interlocking Concrete Pavers and Molds - Pictures of some concrete tilings. 17 Wall Paper Symmetry Groups to Create a Regular Division of the Plane - Graphics. Hans Kuiper - Hans Kuiper's work. Tessellations and optical art. Also tessellation software with the 17 wallpaper groups. Tessellation Tutorials by Suzanne Alejandre - 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. Penrose Tiles - Links in the Geometry Junkyard. Pentagons that Tile the Plane - Known solutions and a new recipe. References about Tessellations - Compiled by Doris Schattschneider, Moravian College. KaleidoTile - 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. Java Kali - A program for drawing symmetrical patterns based on any of the 17 wallpaper groups, as well as several frieze and rosette groups. Wallpaper Groups - Images and descriptions of the 17 plane symmetry groups. TESS - Tessellation software. 11 rosette, all 7 frieze and all 17 wallpaper groups included. Investigating Patterns: Symmetry and Tessellations - Links to activities and other resources. Escher Web Sketch - Java applet drawing repeated patterns with selected symmetry. Escher Patterns - Compiled by Yoshiaki Araki. Tilings and Geometric Ornament - 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. Symmetry and the Shape of Space - With interactive demos using Geometer's Sketchpad (requires Macintosh). SingSurf: Wallpaper Patterns - A Java applet which shows interactive wallpaper patterns. Mathbun.com - The graphic work of Chaim Goodman-Strauss, Arkansas. Tessellations Using Geometer's Sketchpad - Description of a class project. The Penrose Tiling at Miami University - A summary of the history behind the Penrose tiling in the math department at Miami university.
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