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 Science > Math > Recreations > Tessellations

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Science > Math > Recreations > Tessellations

Tessellations:

Artlandia SymmetryWorks

Adobe Illustrator plug-in that automates creation of surface designs and ornaments based on seventeen wallpaper groups. On-line purchase.

http://artlandia.com/products/SymmetryWorks/

Graand

Free Classified Ads Portal

www.graand.com

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/

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

The 14 Different Types of Convex Pentagons that Tile the Plane

Graphics and references.

http://www.mathpuzzle.com/tilepent.html

Discrete Plane Symmetry Groups

Web text by Ana Kozomara.

http://www.mi.sanu.ac.yu/vismath/ana/

Escher Patterns

Compiled by Yoshiaki Araki.

http://britton.disted.camosun.bc.ca/jbaraki.htm

Escher Web Sketch

Java applet drawing repeated patterns with selected symmetry.

http://escher.epfl.ch/escher/

Frieze Patterns

Definitions and images.

http://plato.acadiau.ca/courses/educ/reid/Geometry/Symmetry/frieze.html

Gallery of Symmetric Chaos

Includes symmetric icons and fractals, quilts and planar repeating patterns and colored wallpaper patterns.

http://www.math.uh.edu/~mike/ag/art.html

The Geometry Junkyard: Tilings

A collection of links.

http://www.ics.uci.edu/~eppstein/junkyard/tiling.html

Grotesque Geometry

Andrew Crompton's tiling and tessellation images.

http://www.cromp.com/tess/home.html

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/

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

Intriguing Tessellations

By Marjorie Rice. Pentagons that tile the plane. Includes details and links.

http://tessellations.home.comcast.net/~tessellations/

Investigating Patterns: Symmetry and Tessellations

Links to activities and other resources.

http://britton.disted.camosun.bc.ca/jbsymteslk.htm

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/

Java Penrose Tiler

A Java applet for experimenting with kites and darts.

http://www.geocities.com/SiliconValley/Pines/1684/Penrose.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

Landry Art

Art of Kenneth Landry. Tessellations, polyhedra and polyhedra decorated with tessellations.

http://www.landryart.com/

Mike Field

University of Houston. Graphics and resources in symmetry and tiling.

http://nothung.math.uh.edu/~mike/

Penrose Tiles

Links in the Geometry Junkyard.

http://www.ics.uci.edu/~eppstein/junkyard/penrose.html

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

Pentagons that Tile the Plane

Known solutions and a new recipe.

http://burtleburtle.net/bob/tile/pentagon.html

Quasi-Periodic Tilings

Artist Eleni Mylonas uses tilings.

http://www.elenimylonas.com/

References about Tessellations

Compiled by Doris Schattschneider, Moravian College.

http://www.geom.uiuc.edu/software/tilings/TilingBibliography.html

Samantha's Wallpaper Page

Wallpaper patterns and symmetry groups.

http://www.geocities.com/hbafscl/

The Seventeen Wallpaper Groups

Examples in traditional Japanese patterns.

http://mathmuse.sci.ibaraki.ac.jp/pattrn/PatternE.html

Squared Squares and Squared Rectangles

Tilings of Squared Squares and Squared Rectangles, constructed using javascript.

http://www.squaring.net

Symmetry and Pattern: The Art of Oriental Carpets

Resources compiled by the Math Forum.

http://mathforum.org/geometry/rugs/

Symmetry and the Shape of Space

With interactive demos using Geometer's Sketchpad (requires Macintosh).

http://comp.uark.edu/~strauss/symmetry.unit/

TESS

Tessellation software. 11 rosette, all 7 frieze and all 17 wallpaper groups included.

http://www.peda.com/tess/

Tessellated, Interlocking Concrete Pavers and Molds

Pictures of some concrete tilings.

http://www.geckostone.com/pavers.html

Tessellating Wallpaper Patterns

Original tessellating desktop wallpaper tiles.

http://www.geocities.com/hbafscl/tess1.html

Tessellation Links

Compiled by Suzanne Alejandre for the Math Forum.

http://mathforum.org/sum95/suzanne/links.html

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

Tessellations

A company selling foam puzzles, many based on planar tessellations (tilings) and fractals.

http://members.cox.net/tessellations/

Tessellations

Examples and Java applets.

http://www.geocities.com/williamwchow/javagraf/javagraf.htm

Tessellations Using Geometer's Sketchpad

Description of a class project.

http://www.mste.uiuc.edu/courses/ci336kt/garrison/skpdindx.html

Tessellations with Java

Examples and source code.

http://dimacs.rutgers.edu/~rkrane/tessell.html

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/

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.cgl.uwaterloo.ca/~csk/washington/tile/

Totally Tessellated

An introduction to tessellations explaining the basic underlying mathematics, and with many examples from real life.

http://library.thinkquest.org/16661/

17 Wall Paper Symmetry Groups to Create a Regular Division of the Plane

Graphics.

http://web.inter.nl.net/hcc/Hans.Kuiper/17system.htm

Wallpaper Groups

Images and descriptions of the 17 plane symmetry groups.

http://www.clarku.edu/~djoyce/wallpaper/

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/