Those using triangles and hexagons-

**Non**-**regular Tessellations**.**Non**-**regular tessellations**are those in which there is no restriction on the order of the polygons around vertices. There is an infinite number of such**tessellations**.Similarly one may ask, what is not a tessellation?

For any geometrical figure to

**tessellate**the angles at a common vertex need to sum to 360°. This means every triangle, and every quadrilateral will**tessellate**. However only some polygons with a number of sides of 5 or greater will**tessellate**. But no other regular polygon will**tessellate**.Subsequently, question is, what shape will not tessellate?

Circles, for example, cannot

**tessellate**.**Not**only**do**they**not**have angles, but you**can**clearly see that it is impossible to put a series of circles next to each other without a gap. See? Circles cannot**tessellate**.What is a tessellation shape?

A

**tessellation**is a**pattern**created with identical**shapes**which fit together with no gaps. Regular polygons**tessellate**if the interior angles can be added together to make 360°.What are the three types of tessellation?

There a

**three types of tessellations**: Translation, Rotation, and Reflection. TRANSLATION - A**Tessellation**which the shape repeats by moving or sliding.