1. Tessellations
POD:
What is the measure of each interior angle of each regular polygon?
Equilateral triangle
Pentagon
Hexagon
Octagon

2. Tessellations Tessellation – Regular tessellation
A collection of figures that cover a plane with NO OVERLAPS.
Regular tessellation
A tessellation of congruent regular polygons

3. Examples Tessellation (Tiling)
What are the shapes and how many different shapes or sizes are in each example.

4. Regular tessellations

5. Regular Tessellations
There is only 3…
Triangle
Square
Hexagons

6. Classify a tesselation
Vertex – corner point
This tessellation is a three hexagons with 6 sides meet at the vertex.

7. Semi-regular Tesselations
Tessellations that are made with two or more regular polygons. The pattern at each vertex must be the same.

8. Making a Tessellation 1. Make and cut a regular triangle.
2. Cut a piece from the triangle.
3. Slide the piece to another side and tape it securely.
4. Translate and reflect the figure to make a tessellation.

9. Many different examples…

11. Tessellations as Art
M.C. Escher
Sky and Water

12. MC Escher, Images of Mathematics
The mathematical Art of MC Escher

13. Chapter 9 Project Page 610 Project is due Friday, February 13.
You may choose between #6, 7, or 8. #9
Project is due Friday, February 13.
Your project will be graded upon:
1. Neatness and following directions
2. Creativity.