"Anonympous. It doesn't stop there. If I step four backing diagnal to the wall. Step fives goes diagnal to the Wall.
If I step four backing LOD then step five goes down the LOD The amount of turn is the same."
The overall amount is the same, but it's distribution varies.
We know that steps 1 and 2 are going to move to DW. And we know that step 5 is going to go more or less down LOD. The question then is where the change is made.
The official figures set up a change of direction during step three, such that step three ends having established a new direction of progression that will be down LOD, so step five moves that way.
What we are seeing though is a tendancy to keep the movement to DW, and for the man at least to move his body off to DW during step four. The lady will tend to dance some sort of compromise - trying to some extent to move down the LOD with her step four, but not perfectly able to as she would seperate from him too much if she did. By step five they have usually patched things up, and are both moving down LOD.
So the question really, is if the direction of movement should change during step 3, or only during step 4. Officially it is step three, and when you discover the role of rise in facilitating the change of direction, you will realize why that is the proper answer. If you really study the technique book, you will start to see that this is fairly consistent principle - body rotation can happen at any time, but the actual change in the direction of progression tends to occur at the highest point in the figure. Figures where step three is not a closure makes this clearest, but it is also true in the waltz.