Here is a collection of World Wide Web links that we have compiled that are related to tessellations. We know how frustrating it is to sift through useless material; accordingly, we selected only the most useful sites.

Please note that each of these links opens a new browser window.

Tessellations

General Links

• M.C. Escher: Interlocking Shapes and Tessellations - read about the author's explorations with tessellations, browse through some of the author's tessellation creations and see some impressive tessellations generated on-the-fly by Java programs.
• Tessellations - general information about tessellations; includes a fair amount of content as well as many sample tessellations
• Artlandia - computer software to aid in tessellation exploration
• Fractiles, Inc. - use a set of polygons that have angles measures very convenient for tiling
• Tessellations - buy products related to Tessellations
• Geometry Center (Science U) - a superb site regarding information, basic and advanced
• Gamepuzzles - buy products related to tessellations and other geometric pursuits
  

Tessellation Information for Teachers

• Tantalizing Tessellations!! - mainly for teachers; a series of lesson plans involving tessellations; also includes some resource information and links to other sites
• Suzanne Alejandre's Tessellation Tutorials - browse helpful tutorials about how to use various computer drawing programs to create tessellations. Also includes historical information, basic tessellation information, student tessellations, and many links. (this page is part of the Math Forum)
• Symmetry - a lesson in symmetry using the Mira, a device constructed of red plastic with a beveled lower edge.
• Geometric Systems in Architecture - a teacher curriculum guide
• Fostering Algebraic and Geometric Thinking - a teacher curriculum guide
  
  

Student-Drawn Tessellations

• Student Tessellations (Ms. Woodburn's Sixth Grade Students) - some more hand-drawn tessellations by students
• Fractal and Tessellation Projects by Students at Thomas Jefferson Junior High - a series of high-quality scans of student tessellations
• Julian's Tessellations - many computer-drawn tessellations created by students at Percy Julian School
  
  

Tessellations Incorporated into Art Forms

• Gecko Stone - create tessellations using concrete pavers and molds (with actual photographs!)
• Quilt Gallery of Debby Kratovil - browse through some of the author's quiltings, some of which incorporate tessellations
• Quilt Gallery Magazine Technique: Tessellations - some background information on tessellations and how they relate to quilting
• Florida Quilt Collection - many images of quilting designs
• Weaving Tessellations - a hands-on tutorial for creating tessellations using weaving
  
• Dutchman Designs - quilting patterns, etc.
  

Color Theory

• Color Wheels: The Artist's Most Useful Reference Tools
• Color Perception
• Basic Color Theory
• Color Theory
• Color Theory (2)
  
  

Advanced Explorations of Tessellations and Related Topics

• Dr. Matrix's Programming Challenge! - a very well done page with much information about advanced explorations in tessellations and tilings
• Computer Art inspired by M.C. Escher and Victor Vasrely - browse through many tessellations that were created with the help of a computer program written by Hans Kuiper. Some advanced content related to tessellations and other computer art forms is available here also.
• The Geometry Center Home Page - a very good resource for those interested in advanced topics in geometry
  • Tessellation Resources - comprehensive information regarding resources and computer software for tessellations
    QuasiTiler - interactively generate Penrose tilings and other non-periodic tilings
    Kali - interactively draw Escher-like tilings
    Kali (Java) - same as above, but runs on Java
• Pentagons that Tile the Plane - images of many variations of pentagon tilings
• PentagOnline - images of many variations of pentagon tilings
  
• Dissections: Plane & Fancy
• Reaction Diffusion Patterns(!)

Scientific Applications

Crystallography

• Crystallography 101
• X-RAY Crystallography
• Symmetry, Crystals, and Polyhedra
• Quasicrystals
  
  

  Quantum Mechanics

• Visual Quantum Mechanics
• A Brief Review of Elementary Quantum Chemistry

 

M. C. Escher

• World of Escher
• M. C. Escher
• An M. C. Escher Optical Illusion Page

 

Beyond

Other Color and Design Techniques

• Islamic Patterns - a tutorial on how to create Islamic patterns
• Symmetric Patterns at the Alhambra - mini-tutorials with illustrations from the actual Alhambra
  
  

Advanced Mathematics

Dissection Tiling

• Dissection Tiling - additional information
• Dissection - more information on planar dissections
  
  

  Packing

• Tiling and Packing results of Torsten Silke - more information and pictures
• Erich's Packing Center - complete collection of animations and illustrations of 2-D and 3-D packings
  
  

  Tiling Dynamical Systems

• Pictures of my Research - more information and pictures
• Tiling Dynamical Systems - advanced mathematical treatment
• Symbolic Dynamics - introduction, heavy use of math
• SCTPLS Basic Workshop - a mathematical approach to chaos theory
• Chaos at Maryland - beautiful pictures related to chaos
• James Gleick's book Chaos: the Making of a New Science.
  
  

  Penrose Tiles

• Sir Roger Penrose - addititional information
• Tiling Dynamical Systems - advanced mathematical treatment
• Mandala - an example of a penrose tiling
• Penrose Tiling - an example in the form of a quilt
• Gallery of Interactive Geometry - create your own penrose tiling
• The Geometry Junkyard: Penrose Tiling - many additional links
  
  

  Polynominoes

• Polyomino Enumerations - advanced math
• Conceptual Problems - problems you can try
• Tetrominoes - a lesson tying tetrominoes with tessellations
• Polyominoes and Polyiamonds - exploration and problems
  
  

Related Art Movements

Mondrian

• WebMuseum: Pure Abstraction - information and more artwork by Piet Mondrian
• Piet Mondrian - biography, gallery, and links
• Mondrimat - using your web browser, interactively create your own Mondrian artwork! This site uses frames, an HTML feature, to divide your browser window into squares and rectangles whose size and colors you can specify.
  
  

  Cubism

• WebMuseum: Picasso and Cubism - information and more artwork by Juan Gris
• Cubism Gallery ASADA - information and many cubist works of art
• What is Cubism - a detailed history of cubism with illustrations
• Feeling Neocubism - original artwork using cubist techniques from modern artist Jorge Rubert