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Twisted Tesselations
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  In this activity (on pages 41-47 of PDF), learners explore tesselating geometric patterns (repeated shapes, similar to the art of M.C. Escher).
  
Making a Translation Tessellation
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  In this activity, learners slide shapes to create unusual tiled patterns.
  
Exploring Tessellations (Grades 3-5)
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  In this activity, learners repeat patterns in two and three dimensions to create tessellations.