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.

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.

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.

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

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

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

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

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

Adding coloring and features will enhance the artwork.

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

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.

Example: Rotational Tessellation

Suggestions Try a few drafts of different designs before committing to your final project. Use websites and other information to inspire your ideas and to show you the process, but YOUR DESIGN MUST BE ORIGINAL.

Tessellation Work Days Expectations You will have 2 full class periods to work on your drafts and finals of your tessellations. You will receive a participation grade for these days based on your behavior that goes towards your final grade for the project (test grade). (20 pts) You must bring all necessary materials WITH YOU TO CLASS. Points will be deducted from your project grade if you do not have your materials with you.

Tessellation Project Your project is due on Wednesday, June 8th at the beginning of class. Grading criteria is on your rubric, and rubrics must be PAPER CLIPPED to your final project. Do NOT wait until the last minute!!!!!