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Using Transformations to Create Fantastic Tessellations! Dr. Maria Mitchell

Using Transformations to Create Fantastic Tessellations! Dr. Maria Mitchell. What is a Tessellation?. What is a Tessellation?.

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Using Transformations to Create Fantastic Tessellations! Dr. Maria Mitchell

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  1. Using Transformations to Create Fantastic Tessellations!Dr. Maria Mitchell

  2. What is a Tessellation?

  3. What is a Tessellation? • The graphic artist M.C. Escher (1898 – 1972) was intrigued with the idea of creating a single shape that could be copied and then used to cover a surface without any gaps or overlaps. • These coverings or tilings of the plane are called TESSELLATIONS.

  4. M.C. Escher

  5. M.C. Escher Creations • http://www.mcescher.com/ • http://www.teachers.ash.org.au/geparker/examples_of_tessellations.htm

  6. Explore Shapes that Tile the Plane

  7. Interactive Pattern Blocks • http://www.arcytech.org/java/patterns/patterns_j.shtml

  8. Moves Used to Make the Tilings

  9. TransformationsTranslation

  10. Nibbling

  11. Simple Translation TessellationPolygon should have opposite sides that are parallel and congruent.squares hexagons parallelograms

  12. TransformationsReflection

  13. Glide Reflection TessellationPolygon should have opposite sides that are parallel and congruent.squares hexagons parallelograms

  14. TransformationsRotation

  15. Rotational TessellationAdjacent sides must be congruent.squares triangles hexagons parallelograms

  16. Now You Can Make Your Electronic Tessellation Using Pattern Blocks • http://www.arcytech.org/java/patterns/patterns_j.shtml

  17. Now You Can Make Your Electronic Tessellation Using Microsoft Paint http://www.teachers.ash.org.au/geparker/creating_a_basic_tessellation_using_microsoft_paintbrush.htm

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