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Tessellation.

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Presentation on theme: "Tessellation."— Presentation transcript:

1 Tessellation

2 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.

3 Tessellations all around us
Look for tessellations in walls, patios and pavements.

4 Tessellations all around us
Common shapes can be arranged in unusual ways Sometimes an unusual shape will tessellate

5 Tessellations all around us
Sometimes 2 or more different shapes will tessellate.

6 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 ...

7 Tessellation with Pentominoes
Which Pentominoes will tessellate? Here is one example to get you started….

8 Tessellation with Pentominoes

9 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 ...

10 Tessellation with 7-Pin Polygons
Which 7-pin polygons will tessellate? Here is one example to get you started….

11 Tessellation with 7-Pin Polygons

12 Tessellations by M.C. Escher

13 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.

14 Make Your Own Escher Tessellations 1
Use this as a template to create your tessellation.

15 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.

16 Make Your Own Escher Tessellations 2

17 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.

18 Make Your Own Escher Tessellations 3

19 Enjoy making your own tessellations! END OF PRESENTATION

20 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.

21 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.

22 Enjoy making your own tessellations! END OF PRESENTATION


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