Mathematical recreations involving tessellations or tiling.
This page was last updated on August 27th, 2008
This page was last updated on August 27th, 2008
Tessellations (from Recreations)
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Tessellation Links
Compiled by Suzanne Alejandre for the Math Forum.
Gallery of Symmetric Chaos
Includes: Symmetric icons and fractals; Quilts and planar repeating patterns; Colored wallpaper patterns.
Squared Squares and Squared Rectangles
Tilings of Squared Squares and Squared Rectangles, constructed using javascript.
Tessellations: Technology and Culture
Examples and Java applets.
Tessellations with Java
Examples and source code.
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.
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.
Escher Patterns
Compiled by Yoshiaki Araki.
Tessellations
A company selling foam puzzles, many based on planar tessellations (tilings) and fractals.
Escher Web Sketch
Java applet drawing repeated patterns with selected symmetry.
Symmetry and the Shape of Space
With interactive demos using Geometer's Sketchpad (requires Macintosh).
Tessellation and Photography
A study for the endless possibilities of tessellating the plane based on the work of Dutch graphic artist M.C. Escher.
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.
TESS
Tessellation software. 11 rosette, all 7 frieze and all 17 wallpaper groups included.
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.
Pentagons that Tile the Plane
Known solutions and a new recipe.
The Seventeen Wallpaper Groups
Examples in traditional Japanese patterns.
Mike Field
University of Houston. Graphics and resources in symmetry and tiling.
Symmetries, Patterns and Tessellations
Constructed with Geometer's Sketchpad by Allan Bergmann Jensen.
References about Tessellations
Compiled by Doris Schattschneider, Moravian College.
Frieze Patterns
Definitions and images.
Quasi-Periodic Tilings
Artist Eleni Mylonas uses tilings.
Alex Bateman's Origami
Tessellation images and software.
Tessellated, Interlocking Concrete Pavers and Molds
Pictures of some concrete tilings.
The 14 Different Types of Convex Pentagons that Tile the Plane
Graphics and references.
Tessellating Wallpaper Patterns
Original tessellating desktop wallpaper tiles.
Landry Art
Art of Kenneth Landry. Tessellations, polyhedra and polyhedra decorated with tessellations.
The Geometry Junkyard: Tilings
A collection of links.
Tessellations Using Geometer's Sketchpad
Description of a class project.
Hop's Escher Tessellation Tiles
Escher-like tessellations.
Intriguing Tessellations
By Marjorie Rice. Pentagons that tile the plane: details and links.
Discrete Plane Symmetry Groups
Web text by Ana Kozomara.
Catalogue of Isohedral Tilings
From the article "One Corona is Enough for the Euclidean Plane" by Doris Schattschneider and Nikolai Dolbilin.
Investigating Patterns: Symmetry and Tessellations
Links to activities and other resources.
Tilings, Tessellations and Other Unusual Prints
Images and links by Peter Raedschelders.
The Penrose Tiling at Miami University
A summary of the history behind the Penrose tiling in the math department at Miami university.
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.
Samantha's Wallpaper Page
Wallpaper patterns and symmetry groups.
Symmetry and Pattern: The Art of Oriental Carpets
Resources compiled by the Math Forum.
Java Kali
A program for drawing symmetrical patterns based on any of the 17 wallpaper groups, as well as several frieze and rosette groups.
Hans Kuiper
Hans Kuiper's work. Tessellations and optical art. Also tessellation software with the 17 wallpaper groups.
17 Wall Paper Symmetry Groups to Create a Regular Division of the Plane
Graphics.
Penrose Tiles
Links in the Geometry Junkyard.
Totally Tessellated
An introduction to tessellations explaining the basic underlying mathematics, and with many examples from real life.
Artlandia SymmetryWorks
Adobe Illustrator plug-in that automates creation of surface designs and ornaments based on seventeen wallpaper groups. On-line purchase.
Hyperbolic Tessellations
Explanations and graphics.
Java Penrose Tiler
A Java applet for experimenting with kites and darts.
Grotesque Geometry
Andrew Crompton's tiling and tessellation images.
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.
Compiled by Suzanne Alejandre for the Math Forum.
Includes: Symmetric icons and fractals; Quilts and planar repeating patterns; Colored wallpaper patterns.
Tilings of Squared Squares and Squared Rectangles, constructed using javascript.
Examples and Java applets.
Examples and source code.
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.
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.
A company selling foam puzzles, many based on planar tessellations (tilings) and fractals.
Java applet drawing repeated patterns with selected symmetry.
With interactive demos using Geometer's Sketchpad (requires Macintosh).
A study for the endless possibilities of tessellating the plane based on the work of Dutch graphic artist M.C. Escher.
Images and descriptions of the 17 plane symmetry groups.
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.
Tessellation software. 11 rosette, all 7 frieze and all 17 wallpaper groups included.
Activities to create patterns using simple resources, such as making equilateral triangle from a circle. Suitable for upper primary and lower secondary ages.
Known solutions and a new recipe.
Examples in traditional Japanese patterns.
University of Houston. Graphics and resources in symmetry and tiling.
Constructed with Geometer's Sketchpad by Allan Bergmann Jensen.
Compiled by Doris Schattschneider, Moravian College.
Definitions and images.
Artist Eleni Mylonas uses tilings.
Tessellation images and software.
Pictures of some concrete tilings.
Graphics and references.
Original tessellating desktop wallpaper tiles.
Art of Kenneth Landry. Tessellations, polyhedra and polyhedra decorated with tessellations.
A collection of links.
Description of a class project.
Escher-like tessellations.
By Marjorie Rice. Pentagons that tile the plane: details and links.
Web text by Ana Kozomara.
From the article "One Corona is Enough for the Euclidean Plane" by Doris Schattschneider and Nikolai Dolbilin.
Links to activities and other resources.
Images and links by Peter Raedschelders.
A summary of the history behind the Penrose tiling in the math department at Miami university.
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.
Wallpaper patterns and symmetry groups.
Resources compiled by the Math Forum.
A program for drawing symmetrical patterns based on any of the 17 wallpaper groups, as well as several frieze and rosette groups.
Hans Kuiper's work. Tessellations and optical art. Also tessellation software with the 17 wallpaper groups.
Graphics.
Links in the Geometry Junkyard.
An introduction to tessellations explaining the basic underlying mathematics, and with many examples from real life.
Adobe Illustrator plug-in that automates creation of surface designs and ornaments based on seventeen wallpaper groups. On-line purchase.
Explanations and graphics.
A Java applet for experimenting with kites and darts.
Andrew Crompton's tiling and tessellation images.
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.
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