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    www.numeracysoftware.com

    Tessellation

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    www.numeracysoftware.comTessellation

    If many copies of a shape can be used to

    cover a surface, without leaving any gaps

    between them, then we say that the shapewill tessellate.

    The pattern that is formed is called a

    tessellation.

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    www.numeracysoftware.comTessellations all around us

    Look for tessellations in walls, patios and pavements.

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    www.numeracysoftware.comTessellations all around us

    Common shapes can be

    arranged in unusual ways

    Sometimes an unusual

    shape will tessellate

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    www.numeracysoftware.comTessellations all around us

    Sometimes 2 or more different shapes will tessellate.

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    www.numeracysoftware.comTessellation 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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    www.numeracysoftware.comTessellation 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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    www.numeracysoftware.comTessellation with 7-Pin Polygons

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    www.numeracysoftware.comTessellations by M.C. Escher

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    www.numeracysoftware.comMake 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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    www.numeracysoftware.comMake Your Own Escher

    Tessellations 1Use this as a template to create your tessellation.

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    www.numeracysoftware.comMake Your Own Escher

    Tessellations 2You 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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    www.numeracysoftware.comMake Your Own Escher

    Tessellations 2

    f

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    www.numeracysoftware.comMake Your Own Escher

    Tessellations 3Start with a square and cut segments from two sidesand fix them to the opposite sides like this.

    ft

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    www.numeracysoftware.comMake Your Own Escher

    Tessellations 3

    ft

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    www.numeracysoftware.com

    Enjoy making your own tessellations!

    END OF PRESENTATION

    ft

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    www.numeracysoftware.comPentominoes

    A pentomino is made out of five squares that areconnected 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.

    ft

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    www.numeracysoftware.com7-Pin Polygons

    Here 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.

    ft

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    Enjoy making your own tessellations!

    END OF PRESENTATION