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Exploring Tessellations: Patterns That Cover Without Gaps

Discover the beauty of tessellations, repeating patterns that fully cover a surface without gaps or overlaps. From everyday items to fabrics, tessellations are all around us. Learn about shapes like hexagons, rhombuses, and pure tessellations formed by triangles, quadrilaterals, and regular hexagons. Have fun finding tessellations in different objects and understanding the geometric figures involved.

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Exploring Tessellations: Patterns That Cover Without Gaps

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

  16. Quadrilaterals tessellate

  17. Rectangles form pure tessellations

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

  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

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