View
214
Download
0
Category
Tags:
Preview:
Citation preview
www.numeracysoftware.com
Tessellation
www.numeracysoftware.com
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.
www.numeracysoftware.com
Tessellations all around us
Look for tessellations in walls, patios and pavements.
www.numeracysoftware.com
Tessellations all around us
Common shapes can be arranged in unusual ways
Sometimes an unusual shape will tessellate
www.numeracysoftware.com
Tessellations all around us
Sometimes 2 or more different shapes will tessellate.
www.numeracysoftware.com
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 ...
www.numeracysoftware.com
Tessellation with Pentominoes
Which Pentominoes will tessellate?
Here is one example to get you started….
www.numeracysoftware.com
Tessellation with Pentominoes
www.numeracysoftware.com
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 ...
www.numeracysoftware.com
Tessellation with 7-Pin Polygons
Which 7-pin polygons will tessellate?
Here is one example to get you started….
www.numeracysoftware.com
Tessellation with 7-Pin Polygons
www.numeracysoftware.com
Tessellations by M.C. Escher
www.numeracysoftware.com
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.
www.numeracysoftware.com
Make Your Own Escher Tessellations 1
Use this as a template to create your tessellation.
www.numeracysoftware.com
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.
www.numeracysoftware.com
Make Your Own Escher Tessellations 2
www.numeracysoftware.com
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.
www.numeracysoftware.com
Make Your Own Escher Tessellations 3
www.numeracysoftware.com
Enjoy making your own tessellations!
END OF PRESENTATION
www.numeracysoftware.com
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.
www.numeracysoftware.com
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.
www.numeracysoftware.com
Enjoy making your own tessellations!
END OF PRESENTATION
Recommended