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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**

Common shapes can be arranged in unusual ways Sometimes an unusual shape will tessellate

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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 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 ...

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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 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 ...

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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. Here is an example of a pentomino. These are NOT pentominoes. 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**

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