QNS I drew up that block and I quickly made one. Don't worry about the scant seam allowance it is not needed the measurements are correct for a 1/4 inch.
The centre is the 5 1/2 inch squares cut into 4 on the diagonal, should measure 4 3/4 inch.
Now the 4 1/2 inch squares cut into triangles, sew 2 onto 2 sides of the 3 1/2 inch square, make 2 of these and sew to the QST as in photo 1.
The other triangles are sewn together then sewn to the background square as in photo 2. Sew these to the long sides of the centrepiece.
I hope I have explained it to you. This quilt is very very similar to one I made about 6 years ago, it was a mystery from Planet Patchwork.. I think the only difference is this star
If you aren't happy making this block and it can be a little tricky you can substitute for another 9 inch block, any star would work