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Symmetry and Pattern: The Art of Oriental Carpets
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http://mathforum.org/geometry/rugs/
Resources compiled by the Math Forum.
Totally Tessellated
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http://library.thinkquest.org/16661/
An introduction to tessellations explaining the basic underlying mathematics, and with many examples from real life.
Wallpaper Groups
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http://www.clarku.edu/~djoyce/wallpaper/
Images and descriptions of the 17 plane symmetry groups.
KaleidoTile
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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.
TESS
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http://www.peda.com/tess/
Tessellation software. 11 rosette, all 7 frieze and all 17 wallpaper groups included.
Tessellation Tutorials by Suzanne Alejandre
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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.
Catalogue of Isohedral Tilings
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http://mathforum.org/dynamic/one-corona/
From the article "One Corona is Enough for the Euclidean Plane" by Doris Schattschneider and Nikolai Dolbilin.
The 14 Different Types of Convex Pentagons that Tile the Plane
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http://www.mathpuzzle.com/tilepent.html
Graphics and references.
Java Kali
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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.
Hop's Escher Tessellation Tiles
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http://www.tabletoptelephone.com/~hopspage/HopsTiles.html
Escher-like tessellations.
Tessellations
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http://members.cox.net/tessellations/
A company selling foam puzzles, many based on planar tessellations (tilings) and fractals.
References about Tessellations
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http://www.geom.uiuc.edu/software/tilings/TilingBibliography.html
Compiled by Doris Schattschneider, Moravian College.
Investigating Patterns: Symmetry and Tessellations
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http://britton.disted.camosun.bc.ca/jbsymteslk.htm
Links to activities and other resources.
Java Penrose Tiler
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http://www.geocities.com/SiliconValley/Pines/1684/Penrose.html
A Java applet for experimenting with kites and darts.
Pentagons that Tile the Plane
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http://burtleburtle.net/bob/tile/pentagon.html
Known solutions and a new recipe.
Hyperbolic Tessellations
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http://aleph0.clarku.edu/~djoyce/poincare/poincare.html
Explanations and graphics.
The Geometry Junkyard: Tilings
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http://www.ics.uci.edu/~eppstein/junkyard/tiling.html
A collection of links.
Escher Web Sketch
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http://escher.epfl.ch/escher/
Java applet drawing repeated patterns with selected symmetry.
The Seventeen Wallpaper Groups
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http://mathmuse.sci.ibaraki.ac.jp/pattrn/PatternE.html
Examples in traditional Japanese patterns.
Tessellation Links
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http://mathforum.org/sum95/suzanne/links.html
Compiled by Suzanne Alejandre for the Math Forum.
Penrose Tiles
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http://www.ics.uci.edu/~eppstein/junkyard/penrose.html
Links in the Geometry Junkyard.
Mike Field
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http://nothung.math.uh.edu/~mike/
University of Houston. Graphics and resources in symmetry and tiling.
Quasi-Periodic Tilings
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http://www.elenimylonas.com/
Artist Eleni Mylonas uses tilings.
Intriguing Tessellations
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http://tessellations.home.comcast.net/~tessellations/
By Marjorie Rice. Pentagons that tile the plane. Includes details and links.
Tilings and Geometric Ornament
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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.
Squared Squares and Squared Rectangles
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http://www.squaring.net
Tilings of Squared Squares and Squared Rectangles, constructed using javascript.
Hans Kuiper
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http://web.inter.nl.net/hcc/Hans.Kuiper/
Hans Kuiper's work. Tessellations and optical art. Also tessellation software with the 17 wallpaper groups.
Grotesque Geometry
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http://www.cromp.com/tess/home.html
Andrew Crompton's tiling and tessellation images.
17 Wall Paper Symmetry Groups to Create a Regular Division of the Plane
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http://web.inter.nl.net/hcc/Hans.Kuiper/17system.htm
Graphics.
Frieze Patterns
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http://plato.acadiau.ca/courses/educ/reid/Geometry/Symmetry/frieze.html
Definitions and images.
Symmetry and the Shape of Space
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http://comp.uark.edu/~strauss/symmetry.unit/
With interactive demos using Geometer's Sketchpad (requires Macintosh).
Landry Art
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http://www.landryart.com/
Art of Kenneth Landry. Tessellations, polyhedra and polyhedra decorated with tessellations.
William's Geometric Construction Page
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http://www.cyffredin.co.uk/
Activities to create patterns using simple resources, such as making equilateral triangle from a circle. Suitable for upper primary and lower secondary ages.
Tessellated, Interlocking Concrete Pavers and Molds
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http://www.geckostone.com/pavers.html
Pictures of some concrete tilings.
Tessellations: Technology and Culture
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http://www.geocities.com/williamwchow/javagraf/javagraf.htm
Examples and Java applets.
Artlandia SymmetryWorks
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http://artlandia.com/products/SymmetryWorks/
Adobe Illustrator plug-in that automates creation of surface designs and ornaments based on seventeen wallpaper groups. On-line purchase.
Tiling Plain and Fancy
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http://www2.spsu.edu/math/tile/
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.
Escher Patterns
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http://britton.disted.camosun.bc.ca/jbaraki.htm
Compiled by Yoshiaki Araki.
Tessellations Using Geometer's Sketchpad
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http://www.mste.uiuc.edu/courses/ci336kt/garrison/skpdindx.html
Description of a class project.
The Penrose Tiling at Miami University
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http://www.lib.muohio.edu/epub/tilings/doc.html
A summary of the history behind the Penrose tiling in the math department at Miami university.
Tessellation and Photography
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http://members.home.nl/wouternimmo
A study for the endless possibilities of tessellating the plane based on the work of Dutch graphic artist M.C. Escher.
Tessellations with Java
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http://dimacs.rutgers.edu/~rkrane/tessell.html
Examples and source code.
Discrete Plane Symmetry Groups
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http://www.mi.sanu.ac.yu/vismath/ana/
Web text by Ana Kozomara.
Tessellating Wallpaper Patterns
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http://www.geocities.com/hbafscl/tess1.html
Original tessellating desktop wallpaper tiles.
Samantha's Wallpaper Page
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http://www.geocities.com/hbafscl/
Wallpaper patterns and symmetry groups.
Chaos Tiles
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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.
Symmetries, Patterns and Tessellations
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http://www.geometer.mb.dk/tess/index.htm
Constructed with Geometer's Sketchpad by Allan Bergmann Jensen. [French, English]
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