Tessellations Alexander Alvarez.

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Presentation transcript:

Tessellations Alexander Alvarez

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

We can find tessellations in every day life

Is this a tessellation? What geometric figure is repeated?

If you look carefully…

You will see a tessellation

The repeated figure is an hexagon!

Tessellations are everywhere!

Here we have a rectangle

Fabrics contain tessellations

In this fabric the pattern is a rhombus

Look closely, what do you see?

A rhombus that tessellates

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

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

Quadrilaterals tessellate

Rectangles form pure tessellations

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

Is this picture a pure tessellation?

No, there are gabs between the circles

Is this a tessellation?

No, there are gaps between the leaves

The end