A tessellation or tiling of the plane is a collection of plane figures that fills the plane with no overlaps and no gaps. One may also speak of tessellations of the parts of the plane or of other surfaces. Generalizations to higher dimensions are also possible. Tessellations frequently appeared in the art of M. C. Escher. Tessellations are seen throughout art history, from ancient architecture to modern art.

In Latin, tessella is a small cubical piece of clay, stone or glass used to make mosaics. The word "tessella" means "small square" (from "tessera", square, which in its turn is from the Greek word for "four"). It corresponds with the everyday term tiling which refers to applications of tessellations, often made of glazed clay.

Wallpaper groups

Tilings with translational symmetry can be categorized by wallpaper group, of which 17 exist. All seventeen of these patterns are known to exist in the Alhambra palace in Granada, Spain. Of the three regular tilings two are in the category p6m and one is in p4m.

From Wikipedia under the GNU Free Documentation License
Sat Feb 6 06:24:54 2010

Tessellations 5 jpg
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It was originally going to be a self portrait but I enjoy doing lines and wrinkles so much that I aged myself by about a century and a half

From Yahoo Image Search: "Tessellations"
Wed Feb 24 20:10:28 2010

DIYW204-Paint-Stripe1-step4_lead
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DIYW204-Paint-Stripe1-step4_lead



Wed, 18 Nov 2009 04:46:33 GM

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hu, 05 Nov 2009 02:05:13 GM

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From Google Blog Search: "Tessellations"
Wed Jan 6 17:12:00 2010

Math Emporium Welcomes Young Female Students - Planet Blacksburg
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Math Emporium Welcomes Young Female Students

Planet Blacksburg

The final activity involved work with geometric shapes in tessellations . The girls were taken to computers where they made their own creations on a Web site ...
Why is my council tax funding a school linked to Islamists? - Telegraph.co.uk (blog)
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Why is my council tax funding a school linked to Islamists?

Telegraph.co.uk (blog)

Add in some new words (Algebra, Algorithm), girly tessellations and Arabic numerals (actually invented by the Indians but so called because it was Arabs who ...



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The do's and dont's of dating a college student - CultureMap
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He pointed out that the seemingly innocuous silkscreened geometric image on my shirt was in fact a depiction of Escher-esque tessellations . ...

From Google News Search: "Tessellations"
Wed Jan 6 17:11:58 2010

What are ways tessellations can be designed?
Q. IN math, There is a project about tessellations and i just wanted to know any information on my question
Asked by fresh prince - Thu May 10 10:44:08 2007 - - 3 Answers - 0 Comments

A. Here's a helpful link for tesselation designs
Answered by Griffin - Thu May 10 10:53:30 2007

Can someone tell me who discovered tessellations?
Q. i need it for my geometry class. i also dont think that m.c. escher discovered them but just popularized them. the person who sites their source has a better chance of getting the ten points. thanks.
Asked by stewieisall - Wed Jan 27 12:53:18 2010 - - 4 Answers - 0 Comments

A. In 1975 M.C Escher started a journey of investigation into the tiling of the Pentagon sparked by an article by Martin Gardner in his son's Scientific American . At that time M.C Escher became thoroughly intrigued with the question of whether there were any more ways to tile the Pentagon. M.C Escher started his search to find possible new ways to tile the pentagon. Between 1976 and 1977 he discovered four more new types of tessellating pentagons. A tessellation or tiling of the plane is a collection of plane figures that fills the plane with no overlaps and no gaps. One may also speak of tessellations of the parts of the plane or of other surfaces. Generalizations to higher dimensions are also possible. Tessellations frequently appeared… [cont.]
Answered by Me, I &myself r kings of answers - Wed Jan 27 13:04:36 2010

I need help with tessellations? It has to be turned in tomorrow.?
Q. I have two sets of numbers for tessellations 3-3-4-12 and a 3-4-3-12. I am supposed to draw a pattern out for each one. They have to have two triangles, one square and 1 dodecagon meet at one point. But the second one seems to come out just like the first one. Finally i have to decide if they are semi-regular tessellations or not. I thought the first one wasn't but i could be wrong.
Asked by Llama - Thu Oct 5 22:45:23 2006 - - 1 Answers - 0 Comments

A. Okay, we never even heard of tesselations when I went to school, BUT I found a tesselation tutoring site which might help you. Good luck
Answered by bizime - Thu Oct 5 23:52:48 2006

From Yahoo Answer Search: "Tessellations"
Mon Mar 1 10:04:41 2010

See also:

  • TessellationsTessellations
    members.cox.net
    A company selling foam puzzles, many based on planar tessellations (tilings) and fractals.
  • SingSurf: Wallpaper PatternsSingSurf: Wallpaper Patterns
    singsurf.org
    A Java applet which shows interactive wallpaper patterns.
  • Tiling Plain and FancyTiling Plain and Fancy
    www2.spsu.edu
    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.
Custom search only Tessellations sites:

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