Techniques for Creating Tessellations

Rotation Method

  • Start with a triangle, quadrilateral or hexagon.

  • Replace each side with a symmetric design crossing the midpoint on that side.

  • Rotate the new figure about the midpoint of each side.

Translation Method

  • Start with a parallelogram or hexagon.

  • Alter one side as you wish and copy the alteration to the opposite side.

  • Repeat for each pair of opposite sides.

  • Translate (slide) the pieces to fit together.