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Science: Math: Recreations: Tessellations

See also:

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.

The 14 Different Types of Convex Pentagons that Tile the Plane
Graphics and references.

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.

The Geometry Junkyard: Tilings
A collection of links.

Grotesque Geometry
Andrew Crompton's tiling and tessellation images.

Hans Kuiper
Hans Kuiper's work. Tessellations and optical art. Also tessellation software with the 17 wallpaper groups.

Hop's Escher Tessellation Tiles
Escher-like tessellations.

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.

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.

The Penrose Tiling at Miami University
A summary of the history behind the Penrose tiling in the math department at Miami university.

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.

Samantha's Wallpaper Page
Wallpaper patterns and symmetry groups.

The Seventeen Wallpaper Groups
Examples in traditional Japanese patterns.

Squared Squares and Squared Rectangles
Tilings of Squared Squares and Squared Rectangles, constructed using javascript.

Symmetries, Patterns and Tessellations
Constructed with Geometer's Sketchpad by Allan Bergmann Jensen.

Symmetry and Pattern: The Art of Oriental Carpets
Resources compiled by the Math Forum.

Symmetry and the Shape of Space
With interactive demos using Geometer's Sketchpad (requires Macintosh).

Symmetry and the Shape of Space
Chaim Goodman-Strauss, Arkansas. 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.

Tessellating Wallpaper Patterns
Original tessellating desktop wallpaper tiles.

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.

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.

A company selling foam puzzles, many based on planar tessellations (tilings) and fractals.

Tessellations: Technology and Culture
Examples and Java applets.

Tessellations Using Geometer's Sketchpad
Description of a class project.

Tessellations with Java
Examples and source code.

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.

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.

Totally Tessellated
An introduction to tessellations explaining the basic underlying mathematics, and with many examples from real life.

17 Wall Paper Symmetry Groups to Create a Regular Division of the Plane

Wallpaper Groups
Images and descriptions of the 17 plane symmetry groups.

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.


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