2. TESSELLATIONS

3. A Tessellation (or Tiling) is a repeating pattern of figures that covers a plane without any gaps or overlaps.

4. Examples of Tessellations…

5. Regular Tessellations A regular tessellation is a pattern made by repeating a regular polygon. TrianglesSquares Hexagons

6. A vertex is just a "corner point". Three hexagons meet at this vertex, and a hexagon has 6 sides. So this is called a "6.6.6" tessellation. For a regular tessellation, the pattern is identical at each vertex!

7. There are only 3 regular tessellations: Triangles 3.3.3.3.3.3 Squares 4.4.4.4 Hexagons 6.6.6

8. If you look at a completed tessellation, you will see the original motif repeats in a pattern. One mathematical idea that can be emphasized through tessellations is symmetry.