I thought I'd layout all the pieces for the block instead of just setting them out randomly. If you see the upper left hand corner, I made one of the square-in-a-square blocks. (I started second guessing the measurements. :)
Here are the pieces coming together. Can you see that we'll be ending up with our friend the 9-patch again?
For the centre block, I cut the triangles slightly over sized and then trimmed things down to size when the square was completed.
Here is our block, finished. Does it remind you of one of our earlier blocks?