Tessellation Project

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 • 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 this presentation. • Remember: Finding a design online and copying it is plagiarism and will result in a zero!

15. Tessellation Work Day • You will have time in class to work on tessellations • You will receive a participation grade for this day. • You must bring all necessary materials with you. There are crayons, scissors, white computer paper, construction paper, and tape in the classroom. If you want to use other types of media, bring them yourself.

16. Tessellation Project • Your project is due on Tuesday, March 13 at the end of class. Grading criteria is in your project sheet. • On the due date, you must turn in your completed tessellation, your template (attached to the back of your tessellation), and your assigned packet. • Do NOT wait until the last minute!!!!!

17. Project Sheet • Due Tuesday, March 13 • Tessellations • These must be designed, colored, and the page must be completely tiled. • Glide • Polygonal • Circle • Square • Triangle • Pentagon • Hexagon • Rotational

18. Project Sheet • Project Review • At least one page about the project – what it is, how it relates to math, what you liked or did not like, any related ideas or suggestions, etc. • Descriptions • At least three sentences each describing what shape you used. Did it tessellate (most will!)? How did you decorate it?