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Tessellations


Dmoz2007.org on 2006 : Math : Recreations : Tessellations


  45 pages found in Tessellations:

Artlandia SymmetryWorks - Adobe Illustrator plug-in that automates creation of surface designs and ornaments based on seventeen wallpaper groups. On-line purchase.
www.artlandia.com/SymmetryWorks

Catalogue of Isohedral Tilings - From the article "One Corona is Enough for the Euclidean Plane" by Doris Schattschneider and Nikolai Dolbilin.
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.
www.mathpuzzle.com/chaotile.html

The 14 Different Types of Convex Pentagons that Tile the Plane - Graphics and references.
www.mathpuzzle.com/tilepent.html

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

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

Gallery of Symmetric Chaos - Includes: Symmetric icons and fractals; Quilts and planar repeating patterns; Colored wallpaper patterns.
nothung.math.uh.edu/~mike/ag/art.html

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

Grotesque Geometry - Andrew Crompton's tiling and tessellation images.
www.cromp.com/tess/home.html

Hans Kuiper - Hans Kuiper's work. Tessellations and optical art. Also tessellation software with the 17 wallpaper groups.
web.inter.nl.net/hcc/Hans.Kuiper/

Hop's Escher Tessellation Tiles - Escher-like tessellations.
www.tabletoptelephone.com/~hopspage/HopsTiles.html

Hyperbolic Tessellations - Explanations and graphics.
aleph0.clarku.edu/~djoyce/poincare/poincare.html

Investigating Patterns: Symmetry and Tessellations - Links to activities and other resources.
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.
www.geom.uiuc.edu/java/Kali/

Java Penrose Tiler - A Java applet for experimenting with kites and darts.
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.
www.geom.uiuc.edu/software/download/KaleidoTile.html

Landry Art - Art of Kenneth Landry. Tessellations, polyhedra and polyhedra decorated with tessellations.
www.landryart.com/

Mike Field - University of Houston. Graphics and resources in symmetry and tiling.
nothung.math.uh.edu/~mike/

Penrose Tiles - Links in the Geometry Junkyard.
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.
www.lib.muohio.edu/epub/tilings/doc.html

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

Quasi-Periodic Tilings - Artist Eleni Mylonas uses tilings.
www.elenimylonas.com/

References about Tessellations - Compiled by Doris Schattschneider, Moravian College.
www.geom.uiuc.edu/software/tilings/TilingBibliography.html

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

The Seventeen Wallpaper Groups - Examples in traditional Japanese patterns.
mathmuse.sci.ibaraki.ac.jp/pattrn/PatternE.html

Squared Squares and Squared Rectangles - Tilings of Squared Squares and Squared Rectangles, constructed using javascript.
www.squaring.net

Symmetry and Pattern: The Art of Oriental Carpets - Resources compiled by the Math Forum.
mathforum.org/geometry/rugs/

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

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

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

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

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

Tessellation and Photography - A study for the endless possibilities of tessellating the plane based on the work of Dutch graphic artist M.C. Escher.
members.home.nl/wouternimmo

Tessellation Links - Compiled by Suzanne Alejandre for the Math Forum.
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.
mathforum.org/sum95/suzanne/tess.intro.html

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

Tessellations: Technology and Culture - Examples and Java applets.
www.geocities.com/williamwchow/javagraf/javagraf.htm

Tessellations Using Geometer's Sketchpad - Description of a class project.
www.mste.uiuc.edu/courses/ci336kt/garrison/skpdindx.html

Tessellations with Java - Examples and source code.
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.
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.
www.cs.washington.edu/homes/csk/tile/

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

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

Wallpaper Groups - Images and descriptions of the 17 plane symmetry groups.
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.
www.cyffredin.co.uk/




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