Sunday, April 6, 2014

Tessellations

For this blog i will be exploring the idea of why there are only three regular polygons that tessellate. Tessellations are patterns of repeating shapes which fit perfectly together without leaving any gaps or spaces between them. These are very interesting because very few shapes can comply with this set of terms. Only regular squares, triangles and hexagons can make tessellations because these shapes have interior angles that measure up to a number divisible by 360 degrees. This is true because when the interior angle measure divided into 360 degrees you know that the angles will fit together without leaving any space between them therefore forming a tessellation.