Tessellation project


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Tessellation project

  1. 1. Tessellation ProjectToday we will discuss the requirements andexpectations for your Tessellation projects andyou will receive a brief introduction to thedifferent types of tessellations. This is anindividual project.
  2. 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. 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. 4. Translation Tessellations For simple translation tessellations, polygons should have opposite sides that are parallel and congruent – squares, hexagons, parallelograms.
  5. 5. Example: Translation TessellationYou can create more complex designs starting with square tessellations and making changes on both pairs of sides.
  6. 6. Depending how youdecide to color yourtessellation, a verysimple design canhave a very creativeresult.
  7. 7. Glide Reflection Tessellation For glide reflection tessellations, polygons should have opposite sides that are parallel and congruent – squares, hexagons, parallelograms.
  8. 8. ExampleBy reflecting and glidingover more than one side, youcan create a more complextessellation.
  9. 9. Adding coloring and features will enhance the artwork.
  10. 10. Tessellation created by RotationAdjacent sides must be congruent – squares, equilateral triangles, regular hexagons, rhombi
  11. 11. Midpoint Rotations Triangles, Squares, and QuadrilateralsNote: More than one side may be altered for more challenging designs. Coloringone side of the pattern will help prevent accidental flipping during tracing.
  12. 12. Example:RotationalTessellation
  13. 13. 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. A template that is approximately 2 inches by 2 inches will work well to create an 8 ½ by 11 inch tessellation.
  14. 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 the packet or in this presentation. Remember: Finding a design online and copying it is plagiarism.
  15. 15. Tessellation Project Your project is due on WEdnesday, January 30th at the beginning of class. Grading criteria is in your packet. On the due date, you must turn in your completed tessellation, your template. Do NOT wait until the last minute!!!!!