This was an example of how the blocks got pieced together.
This is what the block looks like ironed out but before it gets cut.
This is the block after it is cut and you have yourself a square in a square without ever having to cut triangles. Gail showed this method for half square triangles, flying geese and several other blocks that normally require triangles and bias edges. Well this certainly sounds like it would make life easier, especially with blocks like the one below. So I ordered the ruler and a couple of books to give this method a try. I'll let you know what I think of it later on.