Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover a surface, without leaving

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Tessellation


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.


Tessellations all around us

Look for tessellations in walls, patios and pavements.



Common shapes can be arranged in unusual ways

Sometimes an unusual shape will tessellate



Sometimes 2 or more different shapes will tessellate.


Tessellation with Pentominoes

• If you don’t 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 ...



Which Pentominoes will tessellate?

Here is one example to get you started….




Tessellation with 7-Pin Polygons

• If you don’t 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 ...



Which 7-pin polygons will tessellate?

Here is one example to get you started….




Tessellations by M.C. Escher


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.



Use this as a template to create your tessellation.



You could start with a hexagon and cut semi-circles from three of the sides and fix them to the opposite sides like this.





Start with a square and cut segments from two sides and fix them to the opposite sides like this.




Enjoy making your own tessellations!

END OF PRESENTATION


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.


7-Pin PolygonsHere is an arrangement of 7 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.

A 7-pin polygon is a closed shape with straight sides with corners on the pins.


Enjoy making your own tessellations!

END OF PRESENTATION

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