tessellations a tessellation (or tiling) is a repeating pattern of figures that covers a plane...

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TESSELLATIONS

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Page 1: TESSELLATIONS A Tessellation (or Tiling) is a repeating pattern of figures that covers a plane without any gaps or overlaps

TESSELLATIONS

Page 2: TESSELLATIONS A Tessellation (or Tiling) is a repeating pattern of figures that covers a plane without any gaps or overlaps

A Tessellation (or Tiling) is a repeating pattern of figures that covers a

plane without any gaps or overlaps.

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

Examples of Tessellations…

Page 4: TESSELLATIONS A Tessellation (or Tiling) is a repeating pattern of figures that covers a plane without any gaps or overlaps

Regular TessellationsA regular tessellation is a pattern made by repeating a regular polygon.

Triangles Squares

Hexagons

Page 5: TESSELLATIONS A Tessellation (or Tiling) is a repeating pattern of figures that covers a plane without any gaps or overlaps

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!

Page 6: TESSELLATIONS A Tessellation (or Tiling) is a repeating pattern of figures that covers a plane without any gaps or overlaps

There are only 3 regular tessellations:

Triangles 3.3.3.3.3.3 Squares 4.4.4.4

Hexagons 6.6.6

Page 7: TESSELLATIONS A Tessellation (or Tiling) is a repeating pattern of figures that covers a plane without any gaps or overlaps

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.

Page 8: TESSELLATIONS A Tessellation (or Tiling) is a repeating pattern of figures that covers a plane without any gaps or overlaps