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Top / Science / Math / Recreations / Tessellations

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17 Wall Paper Symmetry Groups to Create a Regular Division of the Plane
Graphics.
Artlandia SymmetryWorks
Adobe Illustrator plug-in that automates creation of surface designs and ornaments based on seventeen wallpaper groups. On-line purchase.
Catalogue of Isohedral Tilings
From the article "One Corona is Enough for the Euclidean Plane" by Doris Schattschneider and Nikolai Dolbilin.
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.
Discrete Plane Symmetry Groups
Web text by Ana Kozomara.
Escher Patterns
Compiled by Yoshiaki Araki.
Escher Web Sketch
Java applet drawing repeated patterns with selected symmetry.
Frieze Patterns
Definitions and images.
Gallery of Symmetric Chaos
Includes: Symmetric icons and fractals; Quilts and planar repeating patterns; Colored wallpaper patterns.
Hyperbolic Tessellations
Explanations and graphics.
Intriguing Tessellations
By Marjorie Rice. Pentagons that tile the plane: details and links.
Investigating Patterns: Symmetry and Tessellations
Links to activities and other resources.
Java Kali
A program for drawing symmetrical patterns based on any of the 17 wallpaper groups, as well as several frieze and rosette groups.
Java Penrose Tiler
A Java applet for experimenting with kites and darts.
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.
Landry Art
Art of Kenneth Landry. Tessellations, polyhedra and polyhedra decorated with tessellations.
Mike Field
University of Houston. Graphics and resources in symmetry and tiling.
Penrose Tiles
Links in the Geometry Junkyard.
Pentagons that Tile the Plane
Known solutions and a new recipe.
Quasi-Periodic Tilings
Artist Eleni Mylonas uses tilings.
References about Tessellations
Compiled by Doris Schattschneider, Moravian College.
Symmetry and Pattern: The Art of Oriental Carpets
Resources compiled by the Math Forum.
Symmetry in the Plane
Illustrations of the 17 wallpaper groups, with a guide to how to classify them.
TESS
Tessellation software. 11 rosette, all 7 frieze and all 17 wallpaper groups included.
Tessellated, Interlocking Concrete Pavers and Molds
Pictures of some concrete tilings.
Tessellating Wallpaper Patterns
Original tessellating desktop wallpaper tiles.
Tessellation
Examples and links.
Tessellation and Photography
A study for the endless possibilities of tessellating the plane based on the work of Dutch graphic artist M.C. Escher.
Tessellation Links
Compiled by Suzanne Alejandre for the Math Forum.
Tessellations
A company selling foam puzzles, many based on planar tessellations (tilings) and fractals.
Tessellations with Java
Examples and source code.
Tessellations: Technology and Culture
Examples and Java applets.
The 14 Different Types of Convex Pentagons that Tile the Plane
Graphics and references.
The Geometry Junkyard: Tilings
A collection of links.
The Penrose Tiling at Miami University
A summary of the history behind the Penrose tiling in the math department at Miami university.
The Seventeen Wallpaper Groups
Examples in traditional Japanese patterns.
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.
Tilings, Tessellations and Other Unusual Prints
Images and links by Peter Raedschelders.
Totally Tessellated
An introduction to tessellations explaining the basic underlying mathematics, and with many examples from real life.

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