Since the Sawtooth Star block is symmetrical it can be split into 4 identical units. The units can then be reassembled various ways.
What if I reassemble the block so that the center contains both #1 and#3 corners?
I won't go through all the possibilities. I think you can see from these examples how easy it is to reconfigure new blocks from old ones.
For more block explorations go to My Post by Subject in the sidebar on the right and click on Blocks.