1. Tessellations
Alexander Alvarez

2. A tessellation is a repeating pattern of figures that completely covers a plane without gaps or overlaps.

3. We can find tessellations in every day life

4. Is this a tessellation? What geometric figure is repeated?

5. If you look carefully…

6. You will see a tessellation

7. The repeated figure is an hexagon!

8. Tessellations are everywhere!

9. Here we have a rectangle

10. Fabrics contain tessellations

11. In this fabric the pattern is a rhombus

12. Look closely, what do you see?

13. A rhombus that tessellates

14. Pure Tessellation
a tessellation that consists of congruent copies of one figure.

15. This pure tessellation is formed by three joined hexagons
The only figures that form pure tessellations are triangles, quadrilaterals and regular hexagons

16. Quadrilaterals tessellate

17. Rectangles form pure tessellations

18. Is this a tessellation?
Yes, it is formed by triangles, squares and trapezoids.

19. Is this picture a pure tessellation?

20. No, there are gabs between the circles

21. Is this a tessellation?

22. No, there are gaps between the leaves

23. The end