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Lloret de Mar.

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The explanation is easy:

The total sum of angles at a certain point has to be 360º.

If we make equilateral triangles coincide, as we know each equilateral triangle angle measures 60º, with 6 triangles starting from the same point we follow a turn, which means, 360º.

Look at the following picture:

If we make squares or rectangles coincide, it also works. Because their angles are 90º. And 4 angles of 90º are 360º.
So, we can use them to tesselate.

Regular hexagons have 120º angles. With three hexagons we get the 360º.

Pentagons have 108º angles. With 3 pentagons we only get 324º, and we can't close the figure.
With 4 pentagons we have too much, and the 4th pentagon overlaps.

Rhombs are also useful for tessels, because the quadrilateral angles together make 360º. So, if we make the two acute angles and the two obtuse ones coincide, we also get 360º.

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