1. Tessellation Project
Today we will discuss the requirements and expectations for your Tessellation projects and you will receive a brief introduction to the different types of tessellations. This is an individual project.

2. Tessellation Project
Maurits Cornelis Escher (1898 – 1972) was a Dutch artist famous for his repetitive, interlocking pattern. His works look like paintings but were done by woodcarving and lithographs.
Escher’s designs are made from variations on tiling patterns called tessellations. A floor covered by square tiles is an example of a tessellation of squares.

3. Tessellations & Transformations
Tessellations can be modified by using transformations. As you know, transformations are movements of geometric figures. One transformation, commonly used to create tessellations is a slide, or translation, of a figure.

4. Translation Tessellations
For simple translation tessellations, polygons should have opposite sides that are parallel and congruent – squares, hexagons, parallelograms.

5. Example: Translation Tessellation
You can create more complex designs starting with square tessellations and making changes on both pairs of sides.

6. Depending how you decide to color your tessellation, a very simple design can have a very creative result.

7. Glide Reflection Tessellation
For glide reflection tessellations, polygons should have opposite sides that are parallel and congruent – squares, hexagons, parallelograms.

8. Example
By reflecting and gliding over more than one side, you can create a more complex tessellation.

9. Adding coloring and features will enhance the artwork.

10. Tessellation created by Rotation
Adjacent sides must be congruent – squares, equilateral triangles, regular hexagons, rhombi

11. Midpoint Rotations Triangles, Squares, and Quadrilaterals
Note: More than one side may be altered for more challenging designs. Coloring one side of the pattern will help prevent accidental flipping during tracing.

12. Example: Rotational Tessellation

14. Suggestions
READ THE PACKET first before trying your tessellation. There is a lot of good information in the packet that will help you in deciding on which type of tessellation to do and in creating your tessellation.
Complete the worksheet. The worksheet hits some of the key points in telling which polygons can be used for each type of tessellation.
A template that is approximately 2 inches by 2 inches will work well to create an 8 ½ by 11 inch tessellation.

15. Suggestions
Try out several designs, by cutting and taping paper together until you find something you like.
When you have decided on a design, create your template on a stiff material – heavy cardstock or a file folder seem to work well for creating a sturdy template that can be traced over and over.
Be creative. Your design should not look like any of the designs in the packet or in this presentation.
Remember: Finding a design online and copying it is plagiarism.

16. Tessellation Project
This is an extra credit assignment and due the Monday that we return from Thanksgiving Break.
The more creative and difficult the tessellation the more points you will receive.