Tessellations

What are Tessellations and How Can We Describe Them?
The basic idea is that we have figures that have a mathematical shape, which will fill out or tile the plane without leaving any gaps or holes. The mathematical shapes can be transformed into plant, animal, or even human shapes and still tile the plane nicely. The internet has many, many websites dedicated to the exploration of these shapes. The Dutch master, M.C. Escher, is considered to be one of the best investigators of this art and mathematics combination, while the geometric work of the Moors at the Alhambra in Grenada, Spain are equally famous. A documentary of Escher's life can be found here. Here you can find animated drawings showing how Escher changed a simple geometric shape into an interesting animal design that tessellated. You can do this too. 
Try this website for a beginning.
And here. Or here. (Sketchpad drawing) To get a quick look at regular and semiregular (Archimedean) polygon tessellations go here. This is a very good website to learn more about tessellations
