Polygons that can be used:

Any quadrilateral w/ parallel and congruent opposite sides
Any hexagon w/ parallel and congruent opposite sides

Types of symmetry found:

Translational symmetry

Technique:

1. Choose any side. Draw any type of line design from one vertex to the other along that side.

2. On the side directly opposite, trace the same line design from step 1. The design is thus translated to the opposite side.

3. Repeat steps 1 and 2 for the other two (quadrilateral) or four (hexagon) sides.

4. You now have a completed tessellation piece. Use your imagination to decide what your piece looks like and fill in some details.

5. On a piece of paper trace out the shape near the center of the paper. From there, continue to fill the entire piece of paper with the tessellating shape, as though you where building a puzzle in which all of the pieces were the same.

6. When the paper is completely covered with the tessellation, add in the details from step 4. You may wish to use different colors or designs to spice up the picture.