A tessellation is any repeating pattern of interlocking shapes. Tessellations are also sometimes known as tilings, but the word "tilings" usually refers to patterns of polygons (i.e., shapes with straight boundaries), which is a more restrictive category of repeating patterns.
The definition sounds fairly simple, but the ideas involved in designing and understanding tessellations can grow very complex and interesting.
View these examples: http://britton.disted.camosun.bc.ca/jbaraki.htm
Explore this site: http://mathforum.org/pubs/boxer/student.tess.html
Explore this site: http://www.uwgb.edu/dutchs/SYMMETRY/reptile1.htm
What are the rules of creating a tessellation? Click here to find out: http://www.coolmath.com/tesspag1.htm
Have some fun with tesselations. Can you figure out how to put it together? Click here: http://shmuzzles.com//index.htm
Play with tessellations here: http://www.lgfl.net/lgfl/leas/redbridge/schools/churchfields-jnr/web/uploads/Art/tess/tess.htm
Practice here: http://www.shodor.org/interactivate/activities/tessellate/?version=1.5.0_06&browser=MSIE&vendor=Sun_Microsystems_Inc.
Play with tessellations at this site: http://www.pbs.org/parents/earlymath/grades_games_tess.html
Explore this site: http://www.ozzigami.com.au/
Play with creating tessellations here: http://gwydir.demon.co.uk/jo/tess/tess.htm
Play with tessellation creation at this site: http://ejad.best.vwh.net/java/patterns/patterns_j.shtml
Now that I know what a tessellation is, what do I do?
You are going to make a tessellation on the computer in WORD.
1. Create a shape: use either auto shapes or create your own with the line tools on the drawing toolbar at the bottom of the screen.
2. Duplicate the shape (copy and paste and rotate as needed) to create an interesting figure.
3. Fill in the shapes using at least three colors and no more than five. Use the fill button on the drawing toolbar -- it looks like a bucket of paint.
4. On the drawing toolbar there is a big white arrow. Click on the arrow and then draw a box around your figure. Right click the mouse. Click on Grouping and then click on group.
5. Copy your figure and paste, then rotate it to create an interesting pattern.
6. Continue making an interesting pattern by pasting and rotating your figure.
7. Your repeated pattern, or tessellation, should fill the page.
Do NOT NOT NOT print. Save in your technical writing folder.