Directory of Tessellations Resources

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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

  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.

• Mathbun.com

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

• Penrose Tiles

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

• 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.

• References about Tessellations

  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.

• Tessellation Links

  http://mathforum.org/sum95/suzanne/links.html
  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
  A collection of links.

• 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.

Related Categories

• Home > Arts > Art History > Artists > E > Escher, M. C.
• Home > Science > Math > Geometry
• Home > Science > Math > Geometry > Polytopes

 

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