Contents  > Science  > Math  > Recreations  > Tessellations

See also:

• Arts: Art History: Artists: E: Escher, M. C.  (10)
• Science: Math: Geometry  (498)
• Science: Math: Geometry: Polytopes  (58)

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

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/

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

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

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

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

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

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

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

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

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

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

Intriguing Tessellations By Marjorie Rice. Pentagons that tile the plane. Includes details and links. http://tessellations.home.comcast.net/~tessellations/

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

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/

Java Penrose Tiler A Java applet for experimenting with kites and darts. http://www.geocities.com/SiliconValley/Pines/1684/Penrose.html

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

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

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

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

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

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

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

Samantha's Wallpaper Page Wallpaper patterns and symmetry groups. http://www.geocities.com/hbafscl/

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

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

Symmetries, Patterns and Tessellations Constructed with Geometer's Sketchpad by Allan Bergmann Jensen. [French, English] http://www.geometer.mb.dk/tess/index.htm

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

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

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

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

Tessellating Wallpaper Patterns Original tessellating desktop wallpaper tiles. http://www.geocities.com/hbafscl/tess1.html

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

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

Tessellations A company selling foam puzzles, many based on planar tessellations (tilings) and fractals. http://members.cox.net/tessellations/

Tessellations: Technology and Culture Examples and Java applets. http://www.geocities.com/williamwchow/javagraf/javagraf.htm

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

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

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/

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.cgl.uwaterloo.ca/~csk/washington/tile/

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

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

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

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/