Tessellations Recreations Math

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.

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

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