Transcript Students Enchanted by Merlin ’s Spell !

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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