Alpha - In plane squaring of the clubface.

I wondered why you used the term "in plane" closing of the clubface for the swing type where the grip end functions as the pivot point and the clubhead swings through the plane. In my mind no matter how you swing the club, doesn't it have to be swung "in plane?" But, the difference is how it's swung in plane or how alpha is incorporated into the model. When using gamma to square the clubface, the alpha component is acheived primarily via body rotation? The entire club is moving through the plane as a result of turn and tilt of the body?

Personally I think in-plane is cleaner to imagine than alpha, beta, gamma. So I generally prefer those terms. As far as in-plane squaring, the further down the plane the club goes the more that it will close to the target. Another way of thinking of in-plane squaring is hitting it further along the path. When you use body rotation, you hit it well before the "bottom", or widest point in the swing. When you use more of the arms, you'll hit it closer to the bottom so the face is more closed, and closing faster. I hope that helps clear it up a bit.