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Tessellations

Science > Math > Recreations > Tessellations

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	Wallpaper Groups - http://www.clarku.edu/~djoyce/wallpaper/ Images and descriptions of the 17 plane symmetry groups.
	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.
	TESS - http://www.peda.com/tess/ Tessellation software. 11 rosette, all 7 frieze and all 17 wallpaper groups included.
	Totally Tessellated - http://library.thinkquest.org/16661/ An introduction to tessellations explaining the basic underlying mathematics, and with many examples from real life.
	The 14 Different Types of Convex Pentagons that Tile the Plane - http://www.mathpuzzle.com/tilepent.html Graphics and references.

	Escher Web Sketch - http://escher.epfl.ch/escher/ Java applet drawing repeated patterns with selected symmetry.
	The Geometry Junkyard: Tilings - http://www.ics.uci.edu/~eppstein/junkyard/tiling.html A collection of links.
	Symmetry and Pattern: The Art of Oriental Carpets - http://mathforum.org/geometry/rugs/ Resources compiled by the Math Forum.
	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.
	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.

	Tessellations - http://members.cox.net/tessellations/ A company selling foam puzzles, many based on planar tessellations (tilings) and fractals.
	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.
	Mike Field - http://nothung.math.uh.edu/~mike/ University of Houston. Graphics and resources in symmetry and tiling.
	The Seventeen Wallpaper Groups - http://mathmuse.sci.ibaraki.ac.jp/pattrn/PatternE.html Examples in traditional Japanese patterns.
	Hyperbolic Tessellations - http://aleph0.clarku.edu/~djoyce/poincare/poincare.html Explanations and graphics.

	Artlandia SymmetryWorks - 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.
	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.
	Squared Squares and Squared Rectangles - http://www.squaring.net Tilings of Squared Squares and Squared Rectangles, constructed using javascript.
	Investigating Patterns: Symmetry and Tessellations - http://britton.disted.camosun.bc.ca/jbsymteslk.htm Links to activities and other resources.
	Gallery of Symmetric Chaos - http://www.math.uh.edu/~mike/ag/art.html Includes symmetric icons and fractals, quilts and planar repeating patterns and colored wallpaper patterns.

	Tessellation Links - http://mathforum.org/sum95/suzanne/links.html Compiled by Suzanne Alejandre for the Math Forum.
	Hop's Escher Tessellation Tiles - http://www.tabletoptelephone.com/~hopspage/HopsTiles.html Escher-like tessellations.
	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.
	Intriguing Tessellations - http://tessellations.home.comcast.net/~tessellations/ By Marjorie Rice. Pentagons that tile the plane. Includes details and links.
	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.
	Symmetry and the Shape of Space - http://comp.uark.edu/~strauss/symmetry.unit/ With interactive demos using Geometer's Sketchpad (requires Macintosh).
	Java Penrose Tiler - http://www.geocities.com/SiliconValley/Pines/1684/Penrose.html A Java applet for experimenting with kites and darts.
	Grotesque Geometry - 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 - http://web.inter.nl.net/hcc/Hans.Kuiper/17system.htm Graphics.

	References about Tessellations - http://www.geom.uiuc.edu/software/tilings/TilingBibliography.html Compiled by Doris Schattschneider, Moravian College.
	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.
	Landry Art - http://www.landryart.com/ Art of Kenneth Landry. Tessellations, polyhedra and polyhedra decorated with tessellations.
	Tessellations: Technology and Culture - http://www.geocities.com/williamwchow/javagraf/javagraf.htm Examples and Java applets.
	Quasi-Periodic Tilings - http://www.elenimylonas.com/ Artist Eleni Mylonas uses tilings.

	Tessellated, Interlocking Concrete Pavers and Molds - http://www.geckostone.com/pavers.html Pictures of some concrete tilings.
	Tiling Plain and Fancy - 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.
	The Penrose Tiling at Miami University - 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.
	Escher Patterns - http://britton.disted.camosun.bc.ca/jbaraki.htm Compiled by Yoshiaki Araki.
	William's Geometric Construction Page - 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.

	Tessellations with Java - http://dimacs.rutgers.edu/~rkrane/tessell.html Examples and source code.
	Samantha's Wallpaper Page - http://www.geocities.com/hbafscl/ Wallpaper patterns and symmetry groups.
	Tessellations Using Geometer's Sketchpad - http://www.mste.uiuc.edu/courses/ci336kt/garrison/skpdindx.html Description of a class project.
	Discrete Plane Symmetry Groups - http://www.mi.sanu.ac.yu/vismath/ana/ Web text by Ana Kozomara.
	Tessellating Wallpaper Patterns - http://www.geocities.com/hbafscl/tess1.html Original tessellating desktop wallpaper tiles.

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

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