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Tessellation Restrictions

Can any triangle be used to make a tessellation? Can any quadrilateral be used to make a tessellation? Can any polygon be used to make a tessellation? Why or why not?

Summarize your findings.


State combinations of polygons that can be used within a single tessellation. Provide a diagram with an explanation in each case.

 Related External Resources

Tessellation tutorials
These tutorials give you a historical connection and help you build tessellations with a variety of software packages.

Totally Tessellated
This ThinkQuest project created by students describes history, essentials, mosaic tilings, Escher, and beyond.

Tantalizing Tessellations
This series of lessons show how to create various tessellations using polygons and irregular shapes.

Tessellations and Mathematics: A Logical Connection
This lesson has been created by an art teacher with intentions to connect art with math and history.

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