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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.
	Escher Web Sketch - http://escher.epfl.ch/escher/ Java applet drawing repeated patterns with selected symmetry.
	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.
	Totally Tessellated - http://library.thinkquest.org/16661/ An introduction to tessellations explaining the basic underlying mathematics, and with many examples from real life.
	Hyperbolic Tessellations - http://aleph0.clarku.edu/~djoyce/poincare/poincare.html Explanations and graphics.

	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.
	http://www.peda.com/tess/ - http://www.peda.com/tess/ Tessellation software. 11 rosette, all 7 frieze and all 17 wallpaper groups included.
	Symmetry and Pattern: The Art of Oriental Carpets - http://mathforum.org/geometry/rugs/ Resources compiled by the Math Forum.
	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.
	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.

	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.
	Tessellation Links - http://mathforum.org/sum95/suzanne/links.html Compiled by Suzanne Alejandre for the Math Forum.
	Investigating Patterns: Symmetry and Tessellations - http://britton.disted.camosun.bc.ca/jbsymteslk.htm Links to activities and other resources.
	Tessellations - http://members.cox.net/tessellations/ A company selling foam puzzles, many based on planar tessellations (tilings) and fractals.

	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.
	The 14 Different Types of Convex Pentagons that Tile the Plane - http://www.mathpuzzle.com/tilepent.html Graphics and references.
	Squared Squares and Squared Rectangles - http://www.squaring.net/ Tilings of Squared Squares and Squared Rectangles, constructed using javascript.
	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.
	Grotesque Geometry - http://www.cromp.com/tess/home.html Andrew Crompton's tiling and tessellation images.

	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.
	17 Wall Paper Symmetry Groups to Create a Regular Division of the Plane - http://web.inter.nl.net/hcc/Hans.Kuiper/17system.htm Graphics.
	Tessellated, Interlocking Concrete Pavers and Molds - http://www.geckostone.com/pavers.html Pictures of some concrete tilings.
	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.
	Symmetry and the Shape of Space - http://comp.uark.edu/~strauss/symmetry.unit/ With interactive demos using Geometer's Sketchpad (requires Macintosh).

	Pentagons that Tile the Plane - http://burtleburtle.net/bob/tile/pentagon.html Known solutions and a new recipe.
	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.
	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.
	Landry Art - http://www.landryart.com/ Art of Kenneth Landry. Tessellations, polyhedra and polyhedra decorated with tessellations.

	Quasi-Periodic Tilings - http://www.elenimylonas.com/ Artist Eleni Mylonas uses 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.
	Tessellations with Java - http://dimacs.rutgers.edu/~rkrane/tessell.html Examples and source code.
	Frieze Patterns - http://plato.acadiau.ca/courses/educ/reid/Geometry/Symmetry/frieze.html Definitions and images.
	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.
	Hop's Escher Tessellation Tiles - http://www.tabletoptelephone.com/~hopspage/HopsTiles.html Escher-like tessellations.
	The Geometry Junkyard: Tilings - http://www.ics.uci.edu/~eppstein/junkyard/tiling.html A collection of links.
	Penrose Tiles - http://www.ics.uci.edu/~eppstein/junkyard/penrose.html Links in the Geometry Junkyard.

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