1Fill each of the given grids with a tessellation.
2Add two or three more rounds to each of the given regular and semi-regular tessellations.
3Name each of those tessellations using numbers.
4A semi-regular tessellation is made from one square together with another regular polygon at each corner. Name that regular polygon and build a tessellation with it.
5A tessellation is built from three kinds of regular polygon. One is an equilateral triangle and one is a square. Name the third polygon and build the tessellation with it.
6Using thick paper, build any one of the tessellations \( 3.3.3.3.3.3 \), \( 4.4.4.4 \), \( 6.6.6 \), \( 3.3.3.3.6 \), \( 3.3.3.4.4 \), \( 3.3.4.3.4 \), \( 3.4.6.4 \), \( 3.6.3.6 \), \( 3.12.12 \), \( 4.6.12 \) or \( 4.8.8 \) and put it in a small exhibition.
7Why can regular pentagons not tessellate on their own? Show the working.
8Write the difference between a regular and a semi-regular tessellation, with an example of each.
9Two regular hexagons and one more regular polygon meet at a point. Which polygon is the third one?
10Which polygons are used in the \( 3.12.12 \) tessellation, and do their angles check out?
11Square tiles are used on floors all the time, but equal circular tiles are not. Why?