www.numeracysoftware.com tessellation. tessellation if many copies of a shape can be used to cover...
TRANSCRIPT
![Page 1: Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover a surface, without leaving](https://reader038.vdocuments.mx/reader038/viewer/2022110100/56649e0b5503460f94af2a1e/html5/thumbnails/1.jpg)
www.numeracysoftware.com
Tessellation
![Page 2: Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover a surface, without leaving](https://reader038.vdocuments.mx/reader038/viewer/2022110100/56649e0b5503460f94af2a1e/html5/thumbnails/2.jpg)
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.
![Page 3: Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover a surface, without leaving](https://reader038.vdocuments.mx/reader038/viewer/2022110100/56649e0b5503460f94af2a1e/html5/thumbnails/3.jpg)
www.numeracysoftware.com
Tessellations all around us
Look for tessellations in walls, patios and pavements.
![Page 4: Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover a surface, without leaving](https://reader038.vdocuments.mx/reader038/viewer/2022110100/56649e0b5503460f94af2a1e/html5/thumbnails/4.jpg)
www.numeracysoftware.com
Tessellations all around us
Common shapes can be arranged in unusual ways
Sometimes an unusual shape will tessellate
![Page 5: Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover a surface, without leaving](https://reader038.vdocuments.mx/reader038/viewer/2022110100/56649e0b5503460f94af2a1e/html5/thumbnails/5.jpg)
www.numeracysoftware.com
Tessellations all around us
Sometimes 2 or more different shapes will tessellate.
![Page 6: Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover a surface, without leaving](https://reader038.vdocuments.mx/reader038/viewer/2022110100/56649e0b5503460f94af2a1e/html5/thumbnails/6.jpg)
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 ...
![Page 7: Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover a surface, without leaving](https://reader038.vdocuments.mx/reader038/viewer/2022110100/56649e0b5503460f94af2a1e/html5/thumbnails/7.jpg)
www.numeracysoftware.com
Tessellation with Pentominoes
Which Pentominoes will tessellate?
Here is one example to get you started….
![Page 8: Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover a surface, without leaving](https://reader038.vdocuments.mx/reader038/viewer/2022110100/56649e0b5503460f94af2a1e/html5/thumbnails/8.jpg)
www.numeracysoftware.com
Tessellation with Pentominoes
![Page 9: Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover a surface, without leaving](https://reader038.vdocuments.mx/reader038/viewer/2022110100/56649e0b5503460f94af2a1e/html5/thumbnails/9.jpg)
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 ...
![Page 10: Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover a surface, without leaving](https://reader038.vdocuments.mx/reader038/viewer/2022110100/56649e0b5503460f94af2a1e/html5/thumbnails/10.jpg)
www.numeracysoftware.com
Tessellation with 7-Pin Polygons
Which 7-pin polygons will tessellate?
Here is one example to get you started….
![Page 11: Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover a surface, without leaving](https://reader038.vdocuments.mx/reader038/viewer/2022110100/56649e0b5503460f94af2a1e/html5/thumbnails/11.jpg)
www.numeracysoftware.com
Tessellation with 7-Pin Polygons
![Page 12: Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover a surface, without leaving](https://reader038.vdocuments.mx/reader038/viewer/2022110100/56649e0b5503460f94af2a1e/html5/thumbnails/12.jpg)
www.numeracysoftware.com
Tessellations by M.C. Escher
![Page 13: Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover a surface, without leaving](https://reader038.vdocuments.mx/reader038/viewer/2022110100/56649e0b5503460f94af2a1e/html5/thumbnails/13.jpg)
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.
![Page 14: Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover a surface, without leaving](https://reader038.vdocuments.mx/reader038/viewer/2022110100/56649e0b5503460f94af2a1e/html5/thumbnails/14.jpg)
www.numeracysoftware.com
Make Your Own Escher Tessellations 1
Use this as a template to create your tessellation.
![Page 15: Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover a surface, without leaving](https://reader038.vdocuments.mx/reader038/viewer/2022110100/56649e0b5503460f94af2a1e/html5/thumbnails/15.jpg)
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.
![Page 16: Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover a surface, without leaving](https://reader038.vdocuments.mx/reader038/viewer/2022110100/56649e0b5503460f94af2a1e/html5/thumbnails/16.jpg)
www.numeracysoftware.com
Make Your Own Escher Tessellations 2
![Page 17: Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover a surface, without leaving](https://reader038.vdocuments.mx/reader038/viewer/2022110100/56649e0b5503460f94af2a1e/html5/thumbnails/17.jpg)
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.
![Page 18: Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover a surface, without leaving](https://reader038.vdocuments.mx/reader038/viewer/2022110100/56649e0b5503460f94af2a1e/html5/thumbnails/18.jpg)
www.numeracysoftware.com
Make Your Own Escher Tessellations 3
![Page 19: Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover a surface, without leaving](https://reader038.vdocuments.mx/reader038/viewer/2022110100/56649e0b5503460f94af2a1e/html5/thumbnails/19.jpg)
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.
![Page 20: Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover a surface, without leaving](https://reader038.vdocuments.mx/reader038/viewer/2022110100/56649e0b5503460f94af2a1e/html5/thumbnails/20.jpg)
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.
![Page 21: Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover a surface, without leaving](https://reader038.vdocuments.mx/reader038/viewer/2022110100/56649e0b5503460f94af2a1e/html5/thumbnails/21.jpg)
www.numeracysoftware.com
Tessellations by Students
alien bagpipe
![Page 22: Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover a surface, without leaving](https://reader038.vdocuments.mx/reader038/viewer/2022110100/56649e0b5503460f94af2a1e/html5/thumbnails/22.jpg)
www.numeracysoftware.com
Tessellations by Students
yellowbird beret
![Page 23: Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover a surface, without leaving](https://reader038.vdocuments.mx/reader038/viewer/2022110100/56649e0b5503460f94af2a1e/html5/thumbnails/23.jpg)
www.numeracysoftware.com
Tessellations by Students
blonde can
![Page 24: Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover a surface, without leaving](https://reader038.vdocuments.mx/reader038/viewer/2022110100/56649e0b5503460f94af2a1e/html5/thumbnails/24.jpg)
www.numeracysoftware.com
Tessellations by Students
two eyed monsters sunglasses
![Page 25: Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover a surface, without leaving](https://reader038.vdocuments.mx/reader038/viewer/2022110100/56649e0b5503460f94af2a1e/html5/thumbnails/25.jpg)
www.numeracysoftware.com
Tessellations by Students
rotating faces rotating horses
![Page 26: Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover a surface, without leaving](https://reader038.vdocuments.mx/reader038/viewer/2022110100/56649e0b5503460f94af2a1e/html5/thumbnails/26.jpg)
www.numeracysoftware.com
Tessellations by Students
mice red birds
![Page 27: Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover a surface, without leaving](https://reader038.vdocuments.mx/reader038/viewer/2022110100/56649e0b5503460f94af2a1e/html5/thumbnails/27.jpg)
www.numeracysoftware.com
Tessellations by Students
masks horses
![Page 28: Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover a surface, without leaving](https://reader038.vdocuments.mx/reader038/viewer/2022110100/56649e0b5503460f94af2a1e/html5/thumbnails/28.jpg)
www.numeracysoftware.com
Tessellations by Students
fish men faces
![Page 29: Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover a surface, without leaving](https://reader038.vdocuments.mx/reader038/viewer/2022110100/56649e0b5503460f94af2a1e/html5/thumbnails/29.jpg)
www.numeracysoftware.com
Tessellations by Students
Dragon faces clowns
![Page 30: Www.numeracysoftware.com Tessellation. Tessellation If many copies of a shape can be used to cover a surface, without leaving](https://reader038.vdocuments.mx/reader038/viewer/2022110100/56649e0b5503460f94af2a1e/html5/thumbnails/30.jpg)
www.numeracysoftware.com
Enjoy making your own tessellations!
END OF PRESENTATION