Tessellation

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Tessellation
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Tessellation

• If many copies of a shape can be used to cover a
  surface, without leaving any gaps between them,
  then we say that the shape will tessellate.
• The pattern that is formed is called a
  tessellation.

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Tessellations all around us

• Look for tessellations in walls, patios and
  pavements.

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Tessellations all around us
Sometimes an unusual shape will tessellate
Common shapes can be arranged in unusual ways
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Tessellations all around us
Sometimes 2 or more different shapes will
tessellate.
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Tessellation with Pentominoes

• If you dont know what a pentomino is, then click
  here.
• If you have done the pentominoes activity before,
  then you will know what a pentomino is and how
  many different pentominoes there are.
• Here they are ...

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Tessellation with Pentominoes

• Which Pentominoes will tessellate?

Here is one example to get you started.
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Tessellation with Pentominoes
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Tessellation with 7-Pin Polygons

• If you dont know what a 7-pin polygon is, then
  click here.
• If you have done the 7-pin polygons activity
  before, then you will know what a 7-pin polygon
  is and how many different ones there are.
• Here they are ...

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Tessellation with 7-Pin Polygons

• Which 7-pin polygons will tessellate?

Here is one example to get you started.
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Tessellation with 7-Pin Polygons
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Tessellations by M.C. Escher
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Make Your Own Escher Tessellations 1
Step 1 Start with a simple shape that will
tessellate e.g. a rectangle.
Step 2 Remove a shape or shapes from one side
of the rectangle and fix them to the opposite
side.
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Make Your Own Escher Tessellations 1
Use this as a template to create your
tessellation.
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Make Your Own Escher Tessellations 2
You could start with a hexagon and cut
semi-circles from three of the sides and fix them
to the opposite sides like this.
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Make Your Own Escher Tessellations 2
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Make Your Own Escher Tessellations 3
Start with a square and cut segments from two
sides and fix them to the opposite sides like
this.
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Make Your Own Escher Tessellations 3
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Enjoy making your own tessellations!END OF
PRESENTATION
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Pentominoes

• A pentomino is made out of five squares that are
  connected along at least one edge.

These are NOT pentominoes.
Here is an example of a pentomino.
How many different pentominoes can you find?
Click here to return to the Tessellations.
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7-Pin Polygons

• Here is an arrangement of 7 pins.

A 7-pin polygon is a closed shape with straight
sides with corners on the pins.
Here are some examples of 7-pin polygons.
How many different 7-pin polygons can you find?
Click here to return to the Tessellations.
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Enjoy making your own tessellations!END OF
PRESENTATION