Home > Science > Math > Recreations > Tessellations
Mathematical recreations involving tessellations or tiling.
http://web.inter.nl.net/hcc/Hans.Kuiper/17system.htm
Graphics.
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.
http://mathforum.org/dynamic/one-corona/
From the article "One Corona is Enough for the Euclidean Plane" by Doris Schattschneider and Nikolai Dolbilin.
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.
http://britton.disted.camosun.bc.ca/jbaraki.htm
Compiled by Yoshiaki Araki.
http://escher.epfl.ch/escher/
Java applet drawing repeated patterns with selected symmetry.
http://www.cromp.com/tess/home.html
Andrew Crompton's tiling and tessellation images.
http://web.inter.nl.net/hcc/Hans.Kuiper/
Hans Kuiper's work. Tessellations and optical art. Also tessellation software with the 17 wallpaper groups.
http://www.tabletoptelephone.com/~hopspage/HopsTiles.html
Escher-like tessellations.
http://aleph0.clarku.edu/~djoyce/poincare/poincare.html
Explanations and graphics.
http://britton.disted.camosun.bc.ca/jbsymteslk.htm
Links to activities and other resources.
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.
http://www.geom.uiuc.edu/software/download/KaleidoTile.html
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://mathbun.com/
The graphic work of Chaim Goodman-Strauss, Arkansas.
http://www.ics.uci.edu/~eppstein/junkyard/penrose.html
Links in the Geometry Junkyard.
http://burtleburtle.net/bob/tile/pentagon.html
Known solutions and a new recipe.
http://www.elenimylonas.com/
Artist Eleni Mylonas uses tilings.
http://www.geom.uiuc.edu/software/tilings/TilingBibliography.html
Compiled by Doris Schattschneider, Moravian College.
http://www.singsurf.org/wallpaper/wallpaper.php
A Java applet which shows interactive wallpaper patterns.
http://www.squaring.net/
Tilings of Squared Squares and Squared Rectangles, constructed using javascript.
http://mathforum.org/geometry/rugs/
Resources compiled by the Math Forum.
http://comp.uark.edu/~strauss/symmetry.unit/
With interactive demos using Geometer's Sketchpad (requires Macintosh).
http://www.peda.com/tess/
Tessellation software. 11 rosette, all 7 frieze and all 17 wallpaper groups included.
http://www.geckostone.com/pavers.html
Pictures of some concrete tilings.
http://mathforum.org/sum95/suzanne/links.html
Compiled by Suzanne Alejandre for the Math Forum.
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.
http://mste.illinois.edu/courses/ci336kt/garrison/skpdindx.html
Description of a class project.
http://dimacs.rutgers.edu/~rkrane/tessell.html
Examples and source code.
http://www.mathpuzzle.com/tilepent.html
Graphics and references.
http://www.ics.uci.edu/~eppstein/junkyard/tiling.html
A collection of links.
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.
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.
http://www.clarku.edu/~djoyce/wallpaper/
Images and descriptions of the 17 plane symmetry groups.
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