Escher Tessellations Using Geometer’s Sketchpad

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Time-30.svg

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).

GSP-tessellation.png

  • 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.