Centre rotation and translation

My maths goal W.A.L.T: Centre rotation and translation

Task:

Mum’s kitchen floor is square and is just fitted by 64 square tiles in a 8 x 8 array. Mum has chosen black and white tiles. She could have the tiles laid so that they looked like a chessboard but she was hoping for something a bit unusual. The tile man sketched something that had reflective and rotational symmetry. What did he suggest?

How I came up with this answer?
Pretend there is a line in the middle if you try to turn it will look the same on ether side.
My next step is to chose a new maths goal.
My solo level is Extended abstract.