Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover...
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Transcript of Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover...
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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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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 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.
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Tessellations by Students
alien bagpipe
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Tessellations by Students
yellowbird beret
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Tessellations by Students
blonde can
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Tessellations by Students
two eyed monsters sunglasses
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Tessellations by Students
rotating faces rotating horses
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Tessellations by Students
mice red birds
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Tessellations by Students
masks horses
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Tessellations by Students
fish men faces
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Tessellations by Students
Dragon faces clowns
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Enjoy making your own tessellations!
END OF PRESENTATION