If I counted correctly -
There is an 8-pointed star in the center - going from the center to the outside
First row of 'squarish' tiles - 20
Next row of tiles - 28
Row of skinny rectangular tiles - 48
Largish square tiles - 24
Diamond tiles - 24
Then I stopped counting
A circle has 360 degrees -
I think I would use 24 as my 'starting number' for making a design 'in the style of' -
360 divided by 24 would equal 15 degrees per segment.
16 'segments' would be easier, because then the circle could be folded to get the divisions.