Lukol Directory: Science: Math: Recreations: Tessellations

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/til...

Tessellated, Interlocking Concrete Pavers and Molds
Pictures of some concrete tilings.
http://www.geckostone.com/pavers.html

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.ht...

Symmetrier, Mønstre & Tesselleringer med The Geometers Sketchpad
Med essay, galleri, opgaver og vejledning.
http://www.geometer.dk/tess/

Symmetry and the Shape of Space
Chaim Goodman-Strauss, Arkansas. With interactive demos using Geometer's Sketchpad (requires Macintosh).
http://comp.uark.edu/~cgstraus/

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...

Discrete Plane Symmetry Groups
Web text by Ana Kozomara.
http://www.mi.sanu.ac.yu/vismath/ana/

Escher Patterns
Compiled by Yoshiaki Araki.
http://www.sfc.keio.ac.jp/~aly/escher/

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

Symmetry and Pattern: The Art of Oriental Carpets
In this online exhibit, the study of symmetry is used to analyze patterns in Oriental carpets. A joint project of The Textile Museum and The Math Forum.
http://mathforum.org/geometry/rugs/

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

Samantha's Wallpaper Page
Wallpaper patterns and symmetry groups.
http://www.geocities.com/hbafscl/

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: Technology and Culture
Examples and Java applets.
http://www.geocities.com/williamwchow/java...

Penrose Tiles
Links in the Geometry Junkyard.
http://www.ics.uci.edu/~eppstein/junkyard/...

Tessellations Using Geometer's Sketchpad
Description of a class project.
http://www.mste.uiuc.edu/courses/ci336kt/g...

Wallpaper Groups
Images and descriptions of the 17 plane symmetry groups.
http://www.clarku.edu/~djoyce/wallpaper/

References about Tessellations
Compiled by Doris Schattschneider, Moravian College.
http://www.geom.uiuc.edu/software/tilings/...

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/

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/

17 Wall Paper Symmetry Groups to Create a Regular Division of the Plane
Graphics.
http://web.inter.nl.net/hcc/Hans.Kuiper/17...

The Geometry Junkyard: Tilings
A collection of links.
http://www.ics.uci.edu/~eppstein/junkyard/...

Frieze Patterns
Definitions and images.
http://plato.acadiau.ca/courses/educ/reid/...

Totally Tessellated
An introduction to tessellations explaining the basic underlying mathematics, and with many examples from real life.
http://library.thinkquest.org/16661/

Tessellation Links
Compiled by Suzanne Alejandre for the Math Forum.
http://mathforum.org/sum95/suzanne/links.h...

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/

Investigating Patterns: Symmetry and Tessellations
Links to activities and other resources.
http://britton.disted.camosun.bc.ca/jbsymt...

Tessellations with Java
Examples and source code.
http://dimacs.rutgers.edu/~rkrane/tessell....

Pentagons that Tile the Plane
Known solutions and a new recipe.
http://burtleburtle.net/bob/tile/pentagon....

TESS
Tessellation software. 11 rosette, all 7 frieze and all 17 wallpaper groups included.
http://www.peda.com/tess/

Intriguing Tessellations
By Marjorie Rice. Pentagons that tile the plane: details and links.
http://members.aol.com/tessellations/

Hyperbolic Tessellations
Explanations and graphics.
http://aleph0.clarku.edu/~djoyce/poincare/...

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.in...

Java Penrose Tiler
A Java applet for experimenting with kites and darts.
http://www.geocities.com/SiliconValley/Pin...

Squared Squares and Squared Rectangles
Tilings of Squared Squares and Squared Rectangles, constructed using javascript.
http://www.squaring.net

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...

Mylonas, Eleni
Photography and graphic arts, as well as stonework. Online graphic reproductions of works in various categories. Annoucement of shows. Artist's c.v.
http://www.elenimylonas.com/

Escher Web Sketch
Java applet drawing repeated patterns with selected symmetry.
http://marie.epfl.ch/escher/

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 14 Different Types of Convex Pentagons that Tile the Plane
Graphics and references.
http://www.mathpuzzle.com/tilepent.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...

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/

Tessellations
A company selling foam puzzles, many based on planar tessellations (tilings) and fractals.
http://www.tessellations.com/

Symmetry and the Shape of Space
With interactive demos using Geometer's Sketchpad (requires Macintosh).
http://comp.uark.edu/~cgstraus/symmetry.un...

The Seventeen Wallpaper Groups
Examples in traditional Japanese patterns.
http://mathmuse.sci.ibaraki.ac.jp/pattrn/P...

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/

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/


Related Topics:
Arts: Art History: Artists: E: Escher, M. C.
Science: Math: Geometry
Science: Math: Geometry: Polytopes



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2006