TessellationsTessellations

Alexander AlvarezAlexander Alvarez

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

We can find tessellations in We can find tessellations in every day lifeevery day life

Is this a tessellation? Is this a tessellation? What geometric figure is What geometric figure is

repeated?repeated?

If you look carefully… If you look carefully…

You will see a You will see a tessellationtessellation

The repeated figure is an hexagon!

Tessellations are Tessellations are everywhere!everywhere!

Here we have a

rectangle

Fabrics contain tessellationsFabrics contain tessellations

In this In this fabric the fabric the pattern is pattern is

a a rhombusrhombus

Look closely, what do you Look closely, what do you see? see?

A rhombus that

tessellates

Pure Pure TessellatioTessellatio

nn

a a tessellation tessellation that consists that consists of congruent of congruent copies of copies of one figure.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 tessellateQuadrilaterals tessellate

Rectangles form pure tessellations

Is this a Is this a tessellation?tessellation?

Yes, it is Yes, it is formed by formed by triangles, triangles, squares andsquares and

trapezoidstrapezoids..

Is this Is this picture a picture a

pure pure tessellatiotessellatio

n?n?

No, there No, there are gabs are gabs between between

the the circlescircles

Is this a tessellation?Is this a tessellation?

No, there are gaps between No, there are gaps between the leaves the leaves