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Tessellations

Learn about tessellations, shapes or combinations of shapes that fit together without overlaps to cover a plane. Discover regular and semiregular tessellations, explore patterns, and find real-world examples. Access interactive demonstrations and helpful resources for further study.

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Tessellations

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  1. Tessellations Math Alliance March 1, 2010

  2. What Are Tessellations? • Write a definition on a notecard • Draw a picture that represents your definition • Definition: Shapes or combinations of shapes that can be put together without overlapping to completely cover the plane.

  3. Which Figures Tessellate the Plane?

  4. Regular Polygons • Regular Tessellation: A tessellation formed by (copies of) a single regular polygon. • Which regular tessellations can you make? • Are these all of the regular tessellations? Why or why not?

  5. Combinations of Regular Polygons • Semiregular Tessellation: A tessellation formed by two or more regular polygons with the same arrangement of polygons at every vertex. • Which patterns can you make? • Why do these work?

  6. Interactive Demonstrations http://nrich.maths.org/content/id/4832/polygons.swf

  7. Real-World Examples

  8. Homework • Section 11.2: #’s 1, 2, 6, 8, 12, 17, 23, 29, 35, 47, 50, 52a • We will collect #’s: 6, 17, 35, 47, 50 • Good Websites to check-out: • http://library.thinkquest.org/16661/simple.of.regular.polygons/semiregular.1.html • http://nrich.maths.org/4832

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