If you draw a diamond square where each corner of the square is attached to the end of the long leg of each angle. What you will get when you start separating the angles is a proof of Pythagoras theorem for every possible triangle with a hypotenuse from root square 2 to root square 5 ,regardless of what unit you use. That means it is a numberless proof for the pythagorean theorem. You also get a very beautiful square spiral.