For this blog entry id like to talk about why only regular polygons can tessellate. From what i have deduced by reasoning quickly in my head, its because of the nature of a regular polygon. It has the same number of sides as it does angles. Also, when you look at one of the angles on a polygon, there is an added total of 360* with the interior and exterior angle. If you take the interior angle measure of, say a hexagon, and multiply it by 3, you get 360. this is also, in a way the interior angle measure of a circle is 360* too. I think the reason that these certain polygons can tessellate is because their interior angle measures evenly split 360*. For example, a square and a hexagon. Anything with an interior measure angle that goes evenly into 360 will tessellate according to my hypothesis.