Tessellations Recreations Math

Mathematical recreations involving tessellations or tiling.

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• Tessellating Wallpaper Patterns - Original tessellating desktop wallpaper tiles.
  
• Samantha's Wallpaper Page - Wallpaper patterns and symmetry groups.
  
• Discrete Plane Symmetry Groups - Web text by Ana Kozomara.
  
• Investigating Patterns: Symmetry and Tessellations - Links to activities and other resources.
  
• Symmetry and Pattern: The Art of Oriental Carpets - Resources compiled by the Math Forum.
  
• Escher Web Sketch - Java applet drawing repeated patterns with selected symmetry.
  
• Tessellations - A company selling foam puzzles, many based on planar tessellations (tilings) and fractals.
  
• William's Geometric Construction Page - Activities to create patterns using simple resources, such as making equilateral triangle from a circle. Suitable for upper primary and lower secondary ages.
  
• Symmetry and the Shape of Space - With interactive demos using Geometer's Sketchpad (requires Macintosh).
  
• Tessellated, Interlocking Concrete Pavers and Molds - Pictures of some concrete tilings.
  
• Grotesque Geometry - Andrew Crompton's tiling and tessellation images.
  
• Quasi-Periodic Tilings - Artist Eleni Mylonas uses tilings.
  
• 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.
  
• The Penrose Tiling at Miami University - A summary of the history behind the Penrose tiling in the math department at Miami university.
  
• TESS - Tessellation software. 11 rosette, all 7 frieze and all 17 wallpaper groups included.
  
• Catalogue of Isohedral Tilings - From the article "One Corona is Enough for the Euclidean Plane" by Doris Schattschneider and Nikolai Dolbilin.
  
• Mike Field - University of Houston. Graphics and resources in symmetry and tiling.
  
• Artlandia SymmetryWorks - Adobe Illustrator plug-in that automates creation of surface designs and ornaments based on seventeen wallpaper groups. On-line purchase.
  
• Hop's Escher Tessellation Tiles - Escher-like tessellations.
  
• Intriguing Tessellations - By Marjorie Rice. Pentagons that tile the plane. Includes details and links.
  
• 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.
  
• The Geometry Junkyard: Tilings - A collection of links.
  
• Frieze Patterns - Definitions and images.
  
• Wallpaper Groups - Images and descriptions of the 17 plane symmetry groups.
  
• 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.
  
• Penrose Tiles - Links in the Geometry Junkyard.
  
• Squared Squares and Squared Rectangles - Tilings of Squared Squares and Squared Rectangles, constructed using javascript.
  
• Escher Patterns - Compiled by Yoshiaki Araki.
  
• Tessellations with Java - Examples and source code.
  
• Gallery of Symmetric Chaos - Includes symmetric icons and fractals, quilts and planar repeating patterns and colored wallpaper patterns.
  
• Pentagons that Tile the Plane - Known solutions and a new recipe.
  
• Landry Art - Art of Kenneth Landry. Tessellations, polyhedra and polyhedra decorated with tessellations.
  
• The Seventeen Wallpaper Groups - Examples in traditional Japanese patterns.
  
• References about Tessellations - Compiled by Doris Schattschneider, Moravian College.
  
• Java Kali - A program for drawing symmetrical patterns based on any of the 17 wallpaper groups, as well as several frieze and rosette groups.
  
• Tessellations: Technology and Culture - Examples and Java applets.
  
• Hyperbolic Tessellations - Explanations and graphics.
  
• Totally Tessellated - An introduction to tessellations explaining the basic underlying mathematics, and with many examples from real life.
  
• Java Penrose Tiler - A Java applet for experimenting with kites and darts.
  
• 17 Wall Paper Symmetry Groups to Create a Regular Division of the Plane - Graphics.
  
• Tessellation Links - Compiled by Suzanne Alejandre for the Math Forum.
  
• The 14 Different Types of Convex Pentagons that Tile the Plane - Graphics and references.
  
• 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.
  
• Tiling Plain and Fancy - Tiling from the mathematical and historical viewpoint by Steve Edwards. Provides a number of examples of various types of tiles that tile the plane and includes periodic tiling plus Penrose's aperiodic tiles.
  
• Hans Kuiper - Hans Kuiper's work. Tessellations and optical art. Also tessellation software with the 17 wallpaper groups.
  
• Tessellations Using Geometer's Sketchpad - Description of a class project.
  
  

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