Investigating Patterns: Symmetry and Tessellations
- Links to activities and other resources.
- http://britton.disted.camosun.bc.ca/jbsymteslk.htm

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

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

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

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

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.
- http://www.geom.uiuc.edu/software/download/KaleidoTile.html

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

Frieze Patterns
- Definitions and images.
- http://plato.acadiau.ca/courses/educ/reid/Geometry/Symmetry/frieze.html

Landry Art
- Art of Kenneth Landry. Tessellations, polyhedra and polyhedra decorated with tessellations.
- http://www.landryart.com/

Tessellation and Photography
- A study for the endless possibilities of tessellating the plane based on the work of Dutch graphic artist M.C. Escher.
- http://members.home.nl/wouternimmo

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.
- http://www.cyffredin.co.uk/

Pentagons that Tile the Plane
- Known solutions and a new recipe.
- http://burtleburtle.net/bob/tile/pentagon.html

Penrose Tiles
- Links in the Geometry Junkyard.
- http://www.ics.uci.edu/~eppstein/junkyard/penrose.html

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

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

17 Wall Paper Symmetry Groups to Create a Regular Division of the Plane
- Graphics.
- http://web.inter.nl.net/hcc/Hans.Kuiper/17system.htm

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.
- http://www.cs.washington.edu/homes/csk/tile/

Tessellated, Interlocking Concrete Pavers and Molds
- Pictures of some concrete tilings.
- http://www.geckostone.com/pavers.html

Symmetry and the Shape of Space
- With interactive demos using Geometer's Sketchpad (requires Macintosh).
- http://comp.uark.edu/~cgstraus/symmetry.unit/

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

Quasi-Periodic Tilings
- Artist Eleni Mylonas uses tilings.
- http://www.elenimylonas.com/

Mike Field
- University of Houston. Graphics and resources in symmetry and tiling.
- http://nothung.math.uh.edu/~mike/

Gallery of Symmetric Chaos
- Includes: Symmetric icons and fractals; Quilts and planar repeating patterns; Colored wallpaper patterns.
- http://nothung.math.uh.edu/~mike/ag/art.html

Symmetry and Pattern: The Art of Oriental Carpets
- Resources compiled by the Math Forum.
- http://mathforum.org/geometry/rugs/

Discrete Plane Symmetry Groups
- Web text by Ana Kozomara.
- http://www.mi.sanu.ac.yu/vismath/ana/

Tessellations Using Geometer's Sketchpad
- Description of a class project.
- http://www.mste.uiuc.edu/courses/ci336kt/garrison/skpdindx.html

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

Tessellations
- A company selling foam puzzles, many based on planar tessellations (tilings) and fractals.
- http://www.tessellations.com/

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.
- http://www2.spsu.edu/math/tile/

The Seventeen Wallpaper Groups
- Examples in traditional Japanese patterns.
- http://mathmuse.sci.ibaraki.ac.jp/pattrn/PatternE.html

Tessellations with Java
- Examples and source code.
- http://dimacs.rutgers.edu/~rkrane/tessell.html

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

Hop's Escher Tessellation Tiles
- Escher-like tessellations.
- http://www.tabletoptelephone.com/~hopspage/HopsTiles.html

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

The 14 Different Types of Convex Pentagons that Tile the Plane
- Graphics and references.
- http://www.mathpuzzle.com/tilepent.html

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

Totally Tessellated
- An introduction to tessellations explaining the basic underlying mathematics, and with many examples from real life.
- http://library.thinkquest.org/16661/

Tessellation Links
- Compiled by Suzanne Alejandre for the Math Forum.
- http://mathforum.org/sum95/suzanne/links.html

The Geometry Junkyard: Tilings
- A collection of links.
- http://www.ics.uci.edu/~eppstein/junkyard/tiling.html

Artlandia SymmetryWorks
- Adobe Illustrator plug-in that automates creation of surface designs and ornaments based on seventeen wallpaper groups. On-line purchase.
- http://www.artlandia.com/SymmetryWorks