# Directory of Tessellations Resources

Mathematical recreations involving tessellations or tiling.

## Resources in This Category

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

http://web.inter.nl.net/hcc/Hans.Kuiper/17system.htm
Graphics.

• #### Artlandia SymmetryWorks

http://www.artlandia.com/products/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

http://mathforum.org/dynamic/one-corona/
From the article "One Corona is Enough for the Euclidean Plane" by Doris Schattschneider and Nikolai Dolbilin.

• #### Chaos Tiles

http://www.mathpuzzle.com/chaotile.html
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

http://britton.disted.camosun.bc.ca/jbaraki.htm
Compiled by Yoshiaki Araki.

• #### Escher Web Sketch

http://escher.epfl.ch/escher/
Java applet drawing repeated patterns with selected symmetry.

• #### Grotesque Geometry

http://www.cromp.com/tess/home.html
Andrew Crompton's tiling and tessellation images.

• #### Hans Kuiper

http://web.inter.nl.net/hcc/Hans.Kuiper/
Hans Kuiper's work. Tessellations and optical art. Also tessellation software with the 17 wallpaper groups.

• #### Hop's Escher Tessellation Tiles

http://www.tabletoptelephone.com/~hopspage/HopsTiles.html
Escher-like tessellations.

• #### Hyperbolic Tessellations

http://aleph0.clarku.edu/~djoyce/poincare/poincare.html
Explanations and graphics.

• #### Investigating Patterns: Symmetry and Tessellations

http://britton.disted.camosun.bc.ca/jbsymteslk.htm
Links to activities and other resources.

• #### Java Kali

http://www.geom.uiuc.edu/java/Kali/
A program for drawing symmetrical patterns based on any of the 17 wallpaper groups, as well as several frieze and rosette groups.

• #### 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.

• #### Mathbun.com

http://mathbun.com/
The graphic work of Chaim Goodman-Strauss, Arkansas.

• #### Penrose Tiles

http://www.ics.uci.edu/~eppstein/junkyard/penrose.html

• #### Pentagons that Tile the Plane

http://burtleburtle.net/bob/tile/pentagon.html
Known solutions and a new recipe.

• #### Quasi-Periodic Tilings

http://www.elenimylonas.com/
Artist Eleni Mylonas uses tilings.

http://www.geom.uiuc.edu/software/tilings/TilingBibliography.html
Compiled by Doris Schattschneider, Moravian College.

• #### SingSurf: Wallpaper Patterns

http://www.singsurf.org/wallpaper/wallpaper.php
A Java applet which shows interactive wallpaper patterns.

• #### Squared Squares and Squared Rectangles

http://www.squaring.net/
Tilings of Squared Squares and Squared Rectangles, constructed using javascript.

• #### Symmetry and Pattern: The Art of Oriental Carpets

http://mathforum.org/geometry/rugs/
Resources compiled by the Math Forum.

• #### Symmetry and the Shape of Space

http://comp.uark.edu/~strauss/symmetry.unit/
With interactive demos using Geometer's Sketchpad (requires Macintosh).

• #### TESS

http://www.peda.com/tess/
Tessellation software. 11 rosette, all 7 frieze and all 17 wallpaper groups included.

• #### Tessellated, Interlocking Concrete Pavers and Molds

http://www.geckostone.com/pavers.html
Pictures of some concrete tilings.

Compiled by Suzanne Alejandre for the Math Forum.

• #### Tessellation Tutorials by Suzanne Alejandre

http://mathforum.org/sum95/suzanne/tess.intro.html
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

http://mste.illinois.edu/courses/ci336kt/garrison/skpdindx.html
Description of a class project.

• #### Tessellations with Java

http://dimacs.rutgers.edu/~rkrane/tessell.html
Examples and source code.

• #### The 14 Different Types of Convex Pentagons that Tile the Plane

http://www.mathpuzzle.com/tilepent.html
Graphics and references.

• #### The Geometry Junkyard: Tilings

http://www.ics.uci.edu/~eppstein/junkyard/tiling.html

• #### The Penrose Tiling at Miami University

http://www.lib.miamioh.edu/epub/tilings/doc.html
A summary of the history behind the Penrose tiling in the math department at Miami university.

• #### Tilings and Geometric Ornament

http://www.cgl.uwaterloo.ca/~csk/washington/tile/
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.

• #### Wallpaper Groups

http://www.clarku.edu/~djoyce/wallpaper/
Images and descriptions of the 17 plane symmetry groups.

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