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Tessellation
Tessellation <ul><li>If many copies of a shape can be used to cover a surface, without leaving any gaps between them, then...
Tessellations all around us <ul><li>Look for tessellations in walls, patios and pavements. </li></ul>
Tessellations all around us Common shapes can be arranged in unusual ways Sometimes an unusual shape will tessellate
Tessellations all around us Sometimes 2 or more different shapes will tessellate.
Tessellation with Pentominoes <ul><li>If you don’t know what a pentomino is, then  click here. </li></ul><ul><li>If you ha...
Tessellation with Pentominoes <ul><li>Which Pentominoes will tessellate? </li></ul>Here is one example to get you started….
Tessellation with Pentominoes
Tessellation with 7-Pin Polygons <ul><li>If you don’t know what a 7-pin polygon is, then  click here. </li></ul><ul><li>If...
Tessellation with 7-Pin Polygons <ul><li>Which 7-pin polygons will tessellate? </li></ul>Here is one example to get you st...
Tessellation with 7-Pin Polygons
Tessellations by M.C. Escher
Make Your Own Escher Tessellations 1 Step 1:   Start with a simple shape that will tessellate  e.g. a rectangle. Step 2:  ...
Make Your Own Escher Tessellations 1 Use this as a template to create your tessellation.
Make Your Own Escher Tessellations 2 You could start with a hexagon and cut semi-circles from three of the sides and fix t...
Make Your Own Escher Tessellations 2
Make Your Own Escher Tessellations 3 Start with a square and cut segments from two sides and fix them to the opposite side...
Make Your Own Escher Tessellations 3
Enjoy making your own tessellations!
Pentominoes <ul><li>A pentomino is made out of five squares that are connected along at least one edge. </li></ul>These ar...
7-Pin Polygons <ul><li>Here is an arrangement of 7 pins. </li></ul>Here are some examples of 7-pin polygons. How many diff...
Enjoy making your own tessellations!
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Tessellation

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Tessellation

  1. 1. Tessellation
  2. 2. Tessellation <ul><li>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 . </li></ul><ul><li>The pattern that is formed is called a tessellation. </li></ul>
  3. 3. Tessellations all around us <ul><li>Look for tessellations in walls, patios and pavements. </li></ul>
  4. 4. Tessellations all around us Common shapes can be arranged in unusual ways Sometimes an unusual shape will tessellate
  5. 5. Tessellations all around us Sometimes 2 or more different shapes will tessellate.
  6. 6. Tessellation with Pentominoes <ul><li>If you don’t know what a pentomino is, then click here. </li></ul><ul><li>If you have done the pentominoes activity before, then you will know what a pentomino is and how many different pentominoes there are. </li></ul><ul><li>Here they are ... </li></ul>
  7. 7. Tessellation with Pentominoes <ul><li>Which Pentominoes will tessellate? </li></ul>Here is one example to get you started….
  8. 8. Tessellation with Pentominoes
  9. 9. Tessellation with 7-Pin Polygons <ul><li>If you don’t know what a 7-pin polygon is, then click here. </li></ul><ul><li>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. </li></ul><ul><li>Here they are ... </li></ul>
  10. 10. Tessellation with 7-Pin Polygons <ul><li>Which 7-pin polygons will tessellate? </li></ul>Here is one example to get you started….
  11. 11. Tessellation with 7-Pin Polygons
  12. 12. Tessellations by M.C. Escher
  13. 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. 14. Make Your Own Escher Tessellations 1 Use this as a template to create your tessellation.
  15. 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. 16. Make Your Own Escher Tessellations 2
  17. 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. 18. Make Your Own Escher Tessellations 3
  19. 19. Enjoy making your own tessellations!
  20. 20. Pentominoes <ul><li>A pentomino is made out of five squares that are connected along at least one edge. </li></ul>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.
  21. 21. 7-Pin Polygons <ul><li>Here is an arrangement of 7 pins. </li></ul>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.
  22. 22. Enjoy making your own tessellations!

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