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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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Using Transformations to Create Fantastic Tessellations!Dr. Maria Mitchell


What is a tessellation l.jpg

What is a Tessellation?


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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.


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M.C. Escher


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M.C. Escher Creations

  • http://www.mcescher.com/

  • http://www.teachers.ash.org.au/geparker/examples_of_tessellations.htm


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Explore Shapes that Tile the Plane


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Interactive Pattern Blocks

  • http://www.arcytech.org/java/patterns/patterns_j.shtml


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Moves Used to Make the Tilings


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TransformationsTranslation


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Nibbling


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


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TransformationsReflection


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


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TransformationsRotation


Rotational tessellation adjacent sides must be congruent squares triangles hexagons parallelograms l.jpg

Rotational TessellationAdjacent sides must be congruent.squares triangles hexagons parallelograms


Now you can make your electronic tessellation using pattern blocks l.jpg

Now You Can Make Your Electronic Tessellation Using Pattern Blocks

  • http://www.arcytech.org/java/patterns/patterns_j.shtml


Now you can make your electronic tessellation using microsoft paint l.jpg

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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