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TESSELLATIONS
A Tessellation (or Tiling) is a repeating pattern of figures that covers a
plane without any gaps or overlaps.
Examples of Tessellations…
Regular TessellationsA regular tessellation is a pattern made by repeating a regular polygon.
Triangles Squares
Hexagons
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!
There are only 3 regular tessellations:
Triangles 3.3.3.3.3.3 Squares 4.4.4.4
Hexagons 6.6.6
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.