Tessellations in Maths Explained

This video tutorial explains tessellations, which are tiling patterns formed by shapes without gaps. It focuses on regular tessellations made from regular polygons and how to determine if a shape will tessellate using its interior angles. The key criterion is that the sum of the angles at a vertex must be 360 degrees. Examples include an equilateral triangle, which tessellates, and a regular pentagon, which does not. The video concludes with an interactive exercise for viewers to practice identifying tessellating shapes.

What are tessellations and how are they formed?

How can you determine if a regular polygon will tessellate?

What is the significance of dividing 360 by the interior angle of a polygon?

Explain why an equilateral triangle tessellates while a regular pentagon does not.

What should you do to check if other regular polygons tessellate?