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Tessellations
Students should be able to:
- use transformations such as reflections, rotations, and translations to create tessellations.
What is a Tessellation?
A tessellation is a repeating patterns of shapes covering a plane without any gaps or overlaps. Normally, tessellations are created using polygons (see example above). However, the tessellations on Alphabet Geometry are created with letters. What you will see below is a lesson on how to create a tessellation using the letter N and a series of transformations. It does not teach about the different types of tessellations or about what shapes will tessellate; it simply shows how to use transformations to create a your own tessellation.
What is a Transformation?
If you haven't already checked the transformations section of this site and learned about reflections, rotations, and translations, please do so now. Without previous knowldege of transformations, what follows will make no sense.
Below is the tessellation that we will create in this lesson. Notice that it has a repeating pattern and no gaps or overlaps. The entire tessellation was created using transformations. Click here to learn how.
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