17 Wall Paper Symmetry Groups to Create a Regular Division of the Plane
Catalogue of Isohedral Tilings
From the article "One Corona is Enough for the Euclidean Plane" by Doris Schattschneider and Nikolai Dolbilin.
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.
Compiled by Yoshiaki Araki.
Escher Web Sketch
Java applet drawing repeated patterns with selected symmetry.
Andrew Crompton's tiling and tessellation images.
Hans Kuiper's work. Tessellations and optical art. Also tessellation software with the 17 wallpaper groups.
Hop's Escher Tessellation Tiles
Explanations and graphics.
Investigating Patterns: Symmetry and Tessellations
Links to activities and other resources.
A program for drawing symmetrical patterns based on any of the 17 wallpaper groups, as well as several frieze and rosette groups.
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 graphic work of Chaim Goodman-Strauss, Arkansas.
Links in the Geometry Junkyard.
Pentagons that Tile the Plane
Known solutions and a new recipe.
Artist Eleni Mylonas uses tilings.
References about Tessellations
Compiled by Doris Schattschneider, Moravian College.
SingSurf: Wallpaper Patterns
A Java applet which shows interactive wallpaper patterns.
Symmetry and the Shape of Space
With interactive demos using Geometer's Sketchpad (requires Macintosh).
Tessellation software. 11 rosette, all 7 frieze and all 17 wallpaper groups included.
Tessellated, Interlocking Concrete Pavers and Molds
Pictures of some concrete tilings.
Compiled by Suzanne Alejandre for the Math Forum.
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.
Tessellations Using Geometer's Sketchpad
Description of a class project.
Tessellations with Java
Examples and source code.
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.
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.
Images and descriptions of the 17 plane symmetry groups.