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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.
	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.
	Symmetry and Pattern: The Art of Oriental Carpets - http://mathforum.org/geometry/rugs/ Resources compiled by the Math Forum.
	Escher Web Sketch - http://escher.epfl.ch/escher/ Java applet drawing repeated patterns with selected symmetry.
	Totally Tessellated - http://library.thinkquest.org/16661/ An introduction to tessellations explaining the basic underlying mathematics, and with many examples from real life.

	http://www.peda.com/tess/ - http://www.peda.com/tess/ Tessellation software. 11 rosette, all 7 frieze and all 17 wallpaper groups included.
	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.
	The Geometry Junkyard: Tilings - http://www.ics.uci.edu/~eppstein/junkyard/tiling.html A collection of links.
	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.
	Hyperbolic Tessellations - http://aleph0.clarku.edu/~djoyce/poincare/poincare.html Explanations and graphics.

	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.
	Grotesque Geometry - http://www.cromp.com/tess/home.html Andrew Crompton's tiling and tessellation images.
	Investigating Patterns: Symmetry and Tessellations - http://britton.disted.camosun.bc.ca/jbsymteslk.htm Links to activities and other resources.
	Hop's Escher Tessellation Tiles - http://www.tabletoptelephone.com/~hopspage/HopsTiles.html Escher-like tessellations.
	The Seventeen Wallpaper Groups - http://mathmuse.sci.ibaraki.ac.jp/pattrn/PatternE.html Examples in traditional Japanese patterns.

	Mike Field - http://www.math.uh.edu/~mike/ University of Houston. Graphics and resources in symmetry and tiling.
	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.
	Tessellation Links - http://mathforum.org/sum95/suzanne/links.html Compiled by Suzanne Alejandre for the Math Forum.
	Squared Squares and Squared Rectangles - http://www.squaring.net Tilings of Squared Squares and Squared Rectangles, constructed using javascript.
	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.

	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.
	Tessellations - http://members.cox.net/tessellations/ A company selling foam puzzles, many based on planar tessellations (tilings) and fractals.
	The 14 Different Types of Convex Pentagons that Tile the Plane - http://www.mathpuzzle.com/tilepent.html Graphics and references.
	Tessellated, Interlocking Concrete Pavers and Molds - http://www.geckostone.com/pavers.html Pictures of some concrete tilings.
	Pentagons that Tile the Plane - http://burtleburtle.net/bob/tile/pentagon.html Known solutions and a new recipe.

	Penrose Tiles - http://www.ics.uci.edu/~eppstein/junkyard/penrose.html Links in the Geometry Junkyard.
	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.
	17 Wall Paper Symmetry Groups to Create a Regular Division of the Plane - http://web.inter.nl.net/hcc/Hans.Kuiper/17system.htm Graphics.
	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.

	References about Tessellations - http://www.geom.uiuc.edu/software/tilings/TilingBibliography.html Compiled by Doris Schattschneider, Moravian College.
	Intriguing Tessellations - http://tessellations.home.comcast.net/~tessellations/ By Marjorie Rice. Pentagons that tile the plane. Includes details and links.
	Discrete Plane Symmetry Groups - http://www.mi.sanu.ac.yu/vismath/ana/ Web text by Ana Kozomara.
	Tessellations: Technology and Culture - http://www.geocities.com/williamwchow/javagraf/javagraf.htm Examples and Java applets.
	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.

	Quasi-Periodic Tilings - http://www.elenimylonas.com/ Artist Eleni Mylonas uses tilings.
	Landry Art - http://www.landryart.com/ Art of Kenneth Landry. Tessellations, polyhedra and polyhedra decorated with tessellations.
	Tessellations Using Geometer's Sketchpad - http://www.mste.uiuc.edu/courses/ci336kt/garrison/skpdindx.html Description of a class project.
	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.
	Tessellations with Java - http://dimacs.rutgers.edu/~rkrane/tessell.html Examples and source code.

	Escher Patterns - http://britton.disted.camosun.bc.ca/jbaraki.htm Compiled by Yoshiaki Araki.
	Frieze Patterns - http://plato.acadiau.ca/courses/educ/reid/Geometry/Symmetry/frieze.html Definitions and images.
	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.
	Samantha's Wallpaper Page - http://www.geocities.com/hbafscl/ Wallpaper patterns and symmetry groups.
	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.

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

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