Escher Tessellations Using Geometer’s Sketchpad

Objective: Use Geometer's Sketchpad to create some interesting tessellations.

• Open the Geometer’s Sketchpad application
• Construct a square
• Make the sides appear as dashed lines
• Construct the midpoints on the sides
• Change one half of each side, and rotate that deformed piece by 180 degrees.

Now rotate about the midpoints of the sides (through 180 degrees).

• Decorate the tessellation on this page.
• Create your own and decorate that one as well.
• Do the same exercise, but start with a different quadrilateral (it can be a parallelogram, rhombus, irregular, concave, whatever you want to experiment with.)

Handin: A sheet with answers to all questions.