This task examines the ways in which the plane can be covered by regular polygons in a very strict arrangement called a regular tessellation. These tessellations are studied here using algebra, which enters the picture via the formula for the measure of the interior angles of a regular polygon (which should therefore be introduced or reviewed before beginning the task). The goal of the task is to use algebra in order to understand which tessellations of the plane with regular polygons are possible.

Ever wondered what goes on within the iconic dome building at Berkeley Lab? Our particle accelerator supports research in a wide variety of fields. In this episode, we'll build a crystal together and learn how x-ray crystallography is used to examine structures. This is the first in series of sessions focusing on the Advanced Light Source.

Go to Tessellation Town on Tile Island and create a variety of tessellations.

Investigate tessellations using this interactive Learn Alberta math resource. Students will explore transformations, namely line symmetry, rotation symmetry, and translation occurring within a tessellated pattern. Be sure to follow the link to the printable activities, solutions, learning strategies, and math renovation game that are included to reinforce target skills.

Video lesson demonstrates how to find and draw lines of symmetry for figures. [0:57]

Objects which have line symmetry or reflection symmetry can form symmetrical images where they are cut by an imaginary line that is called a line of symmetry. Watch this video for examples! [0:57]

 Objective:  Students will create their own tesselations and research and formulate opinions on M.C Escher.Activity Type/Purpose:  Individual creations by students along with guided questions to facilitate connecting art and mathematicsAudience:  Geometry Classroom 

This site, provided by the University of St. Andrews in Scotland, gives a biography of Wilhelm Magnus. Many interesting links are provided as well.