Tessellation Project

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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.

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Tessellation Project

• Maurits Cornelis Escher (1898 1972) was a Dutch
  artist famous for his repetitive, interlocking
  patterns. His works look like paintings but were
  done by woodcarving and lithographs.
• Eschers designs are made from variations on
  tiling patterns called tessellations. A floor
  covered by square tiles is an example of a
  tessellation of squares.

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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.

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

• You can create more complex designs starting with
  square tessellations and making changes on both
  pairs of sides.

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Depending how you decide to color your
tessellation, a very simple design can have a
very creative result.
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Glide Reflection Tessellation
For glide reflection tessellations, polygons
should have opposite sides that are parallel and
congruent squares, hexagons, parallelograms.
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Example
By reflecting and gliding over more than one
side, you can create a more complex tessellation.
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Adding coloring and features will enhance the
artwork.
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Tessellation created by Rotation

• Adjacent sides must be congruent squares,
  equilateral triangles, regular hexagons, rhombi

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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.
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Example Rotational Tessellation
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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 book or in this
  presentation.
• Remember Finding a design online and copying it
  is plagiarism.

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Tessellation Project

• Your project is due on December 9th. Grading
  criteria is on your rubric.
• On the due date, you must turn in your 2
  completed tessellations, your pattern tiles, and
  your rubric (attached to the back of your
  directions).
• Do NOT wait until the last minute!!!!!