| Directory > Science > Math > Recreations > Tessellations Squared Squares and Squared Rectangles
Tilings of Squared Squares and Squared Rectangles, constructed using javascript.
http://www.squaring.net
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Wallpaper Groups
Images and descriptions of the 17 plane symmetry groups.
http://www.clarku.edu/~djoyce/wallpaper/
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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/
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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
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References about Tessellations
Compiled by Doris Schattschneider, Moravian College.
http://www.geom.uiuc.edu/software/tilings/TilingBibliography.html
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Symmetries, Patterns and Tessellations
Constructed with Geometer's Sketchpad by Allan Bergmann Jensen.
http://www.geometer.dk/tess/
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Frieze Patterns
Definitions and images.
http://plato.acadiau.ca/courses/educ/reid/Geometry/Symmetry/frieze.html
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Landry Art
Art of Kenneth Landry. Tessellations, polyhedra and polyhedra decorated with tessellations.
http://www.landryart.com/
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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
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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/
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Pentagons that Tile the Plane
Known solutions and a new recipe.
http://burtleburtle.net/bob/tile/pentagon.html
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Penrose Tiles
Links in the Geometry Junkyard.
http://www.ics.uci.edu/~eppstein/junkyard/penrose.html
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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
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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/
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17 Wall Paper Symmetry Groups to Create a Regular Division of the Plane
Graphics.
http://web.inter.nl.net/hcc/Hans.Kuiper/17system.htm
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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/
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TESS
Tessellation software. 11 rosette, all 7 frieze and all 17 wallpaper groups included.
http://www.peda.com/tess/Welcome.html
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Tessellated, Interlocking Concrete Pavers and Molds
Pictures of some concrete tilings.
http://www.geckostone.com/pavers.html
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Symmetry and the Shape of Space
With interactive demos using Geometer's Sketchpad (requires Macintosh).
http://comp.uark.edu/~cgstraus/symmetry.unit/
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Symmetry and the Shape of Space
Chaim Goodman-Strauss, Arkansas. With interactive demos using Geometer's Sketchpad (requires
Macintosh).
http://comp.uark.edu/~cgstraus/
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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/
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Samantha's Wallpaper Page
Wallpaper patterns and symmetry groups.
http://www.geocities.com/hbafscl/
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Java Penrose Tiler
A Java applet for experimenting with kites and darts.
http://www.geocities.com/SiliconValley/Pines/1684/Penrose.html
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Quasi-Periodic Tilings
Artist Eleni Mylonas uses tilings.
http://www.elenimylonas.com/
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Mike Field
University of Houston. Graphics and resources in symmetry and tiling.
http://nothung.math.uh.edu/~mike/
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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
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Escher Web Sketch
Java applet drawing repeated patterns with selected symmetry.
http://www-sphys.unil.ch/escher/
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Escher Patterns
Compiled by Yoshiaki Araki.
http://www.sfc.keio.ac.jp/~aly/escher/
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Alex Bateman's Origami
Tessellation images and software.
http://www.sanger.ac.uk/Users/agb/Origami/origami.html
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Symmetry and Pattern: The Art of Oriental Carpets
Resources compiled by the Math Forum.
http://mathforum.org/geometry/rugs/
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Discrete Plane Symmetry Groups
Web text by Ana Kozomara.
http://www.mi.sanu.ac.yu/vismath/ana/
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Tilings, Tessellations and Other Unusual Prints
Images and links by Peter Raedschelders.
http://home.planetinternet.be/~praedsch/
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Tessellations Using Geometer's Sketchpad
Description of a class project.
http://www.mste.uiuc.edu/courses/ci336kt/garrison/skpdindx.html
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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
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Tessellations
A company selling foam puzzles, many based on planar tessellations (tilings) and fractals.
http://www.tessellations.com/
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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/
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Intriguing Tessellations
By Marjorie Rice. Pentagons that tile the plane: details and links.
http://members.aol.com/tessellations/
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Tessellating Wallpaper Patterns
Original tessellating desktop wallpaper tiles.
http://www.geocities.com/hbafscl/tess1.html
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Investigating Patterns: Symmetry and Tessellations
Links to activities and other resources.
http://www.camosun.bc.ca/~jbritton/jbsymteslk.htm
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The Seventeen Wallpaper Groups
Examples in traditional Japanese patterns.
http://mathmuse.sci.ibaraki.ac.jp/pattrn/PatternE.html
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Tessellations: Technology and Culture
Examples and Java applets.
http://www.geocities.com/williamwchow/javagraf/javagraf.htm
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Tessellations with Java
Examples and source code.
http://dimacs.rutgers.edu/~rkrane/tessell.html
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Hyperbolic Tessellations
Explanations and graphics.
http://aleph0.clarku.edu/~djoyce/poincare/poincare.html
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Hop's Escher Tessellation Tiles
Escher-like tessellations.
http://www.tabletoptelephone.com/~hopspage/HopsTiles.html
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Grotesque Geometry
Andrew Crompton's tiling and tessellation images.
http://www.cromp.com/tess/home.html
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The 14 Different Types of Convex Pentagons that Tile the Plane
Graphics and references.
http://www.mathpuzzle.com/tilepent.html
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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
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Totally Tessellated
An introduction to tessellations explaining the basic underlying mathematics, and with many
examples from real life.
http://library.thinkquest.org/16661/
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Tessellation Links
Compiled by Suzanne Alejandre for the Math Forum.
http://mathforum.org/sum95/suzanne/links.html
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The Geometry Junkyard: Tilings
A collection of links.
http://www.ics.uci.edu/~eppstein/junkyard/tiling.html
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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
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