**Terrific Tessellations**

**Problems**: What is the basis for symmetry? How can a complex pattern
be generated from a simplistic geometric shape?

**Materials:**

Graph paper, scissors, card stock.

**Procedure A:**

1. Choose a geometric shape that will tile, i.e., square, rectangle, equilateral triangle or a hexagon.

2. Create a "new" pattern by removing a section from one side of the geometric shape and adding it to the opposite side with rectangles, squares or hexagons or to the neighboring side as in hexagons or triangles.

**Examples:**

The dolphin pattern is the result of a rectangle. The dog is from a square.

3. Once you have created a new pattern use graph paper and glue the pattern to card stock for ease in drawing your Escher-type pattern.

**Procedure B:**

Make your name in such a fashion that it obeys dot symmetry. This means that if a dot were placed in the middle of your name and you rotated your name 180 degrees, it would look the same.

See the examples of JESSIE and JON:

**Summing Up:**

1. In each of these cases what is the symmetry involved?

2. How do these tessellation's correspond to fractal patterns?

3. Where do you find fractals or

Chaotic Crystalsin nature?