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