Teaching Resources

Good Morning Children Ltd Good Morning Children Ltd- Provides a variety of mentally stimulating resources for children including interactive whiteboards. Provides details of the products, an FAQ and testim… The Penrose Tiling at Miami University The Penrose Tiling at Miami University- A summary of the history behind the Penrose tiling in the math department at Miami university. Tessellations Using Geometer's Sketchpad Tessellations Using Geometer's Sketchpad- Description of a class project. Mathbun.com Mathbun.com- The graphic work of Chaim Goodman-Strauss, Arkansas. SingSurf: Wallpaper Patterns SingSurf: Wallpaper Patterns- A Java applet which shows interactive wallpaper patterns. Symmetry and the Shape of Space Symmetry and the Shape of Space- With interactive demos using Geometer's Sketchpad (requires Macintosh). Tilings and Geometric Ornament 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 moder… Escher Patterns Escher Patterns- Compiled by Yoshiaki Araki. Escher Web Sketch Escher Web Sketch- Java applet drawing repeated patterns with selected symmetry. Investigating Patterns: Symmetry and Tessellations Investigating Patterns: Symmetry and Tessellations- Links to activities and other resources. TESS TESS- Tessellation software. 11 rosette, all 7 frieze and all 17 wallpaper groups included. Wallpaper Groups Wallpaper Groups- Images and descriptions of the 17 plane symmetry groups. Java Kali Java Kali- A program for drawing symmetrical patterns based on any of the 17 wallpaper groups, as well as several frieze and rosette groups. KaleidoTile 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 rela… References about Tessellations References about Tessellations- Compiled by Doris Schattschneider, Moravian College. Pentagons that Tile the Plane Pentagons that Tile the Plane- Known solutions and a new recipe. Penrose Tiles Penrose Tiles- Links in the Geometry Junkyard. Tessellation Tutorials by Suzanne Alejandre Tessellation Tutorials by Suzanne Alejandre- Tutorials and templates for making tessellations using ClarisWorks, the Geometer's Sketchpad, HyperCard, HyperStudio, and straightedge… Hans Kuiper Hans Kuiper- Hans Kuiper's work. Tessellations and optical art. Also tessellation software with the 17 wallpaper groups. 17 Wall Paper Symmetry Groups to Create a Regular Division of the Plane 17 Wall Paper Symmetry Groups to Create a Regular Division of the Plane- Graphics. Tessellated, Interlocking Concrete Pavers and Molds Tessellated, Interlocking Concrete Pavers and Molds- Pictures of some concrete tilings. Catalogue of Isohedral Tilings Catalogue of Isohedral Tilings- From the article "One Corona is Enough for the Euclidean Plane" by Doris Schattschneider and Nikolai Dolbilin. Quasi-Periodic Tilings Quasi-Periodic Tilings- Artist Eleni Mylonas uses tilings. Chaos Tiles 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. Tessellations with Java Tessellations with Java- Examples and source code. Hyperbolic Tessellations Hyperbolic Tessellations- Explanations and graphics. Hop's Escher Tessellation Tiles Hop's Escher Tessellation Tiles- Escher-like tessellations. Grotesque Geometry Grotesque Geometry- Andrew Crompton's tiling and tessellation images. The 14 Different Types of Convex Pentagons that Tile the Plane The 14 Different Types of Convex Pentagons that Tile the Plane- Graphics and references. Tessellation Links Tessellation Links- Compiled by Suzanne Alejandre for the Math Forum.