Escher-type Tessellations by Glide Reflection

Polygons that can be used:

Any kite

Types of symmetry found:

Translational symmetry
Glide-Reflection symmetry

Technique:

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

2. Flip the line design (left to right, not top to bottom) and translate it to the corresponding congruent line and trace a copy of the design there.

3. Repeat steps 1 and 2 for the other two 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.

HGR EX1.jpg (229222 bytes)