Spheres ...

[Mathew]

An interesting observation about the primary/secondary hinge arrangement and seperately the wristcock/acc#3 in the flail of 2k is that their complete range of movement that they can create in all directions will cover or be inside a completely spherical shape.

[Mathew]

Another interesting observation is that even though the principle of 1-L is perfect... The actual model itself as printed in 1-L actually has a small flaw. Because the primary hinge itself is slightly away from the secondary hinge, the primary hinge will pull it into the inclined plane as it makes its motion. But if the hinge and secondary hinge was exactly on the same pinpoint location the model would work perfectly and create a perfect sphere. All about controlling that arm from its ballsocket.....

[Mathew]

Everything in the primary lever assembly produces circles. The primary hinge moves the entire lever assembly in a circle against its blade. The secondary hinge moves the entire lever assembly up and down in a circle around its pin. The wristcock moves the secondary lever assembly up and down in a perpendicular fashion in a circle around its pin. The swivel joint rotates the left clamp (hand) moving the secondary lever assembly around in a circle.

All of these circles are bound together by one constant and that is the inclined plane.

So the hinge arrangement can move the left arm and entire primary lever assembly anywhere it wishes as the left shoulder as the center and the lever assembly is a radius of a big sphere and the swivel(2k) and wristcock can move the secondary lever anywhere as the left wrist as the center and the secondary lever assembly is a radius of a smaller sphere, but we are always bound by the secondary levers longitudinal center of gravity staying on the inclined plane.

If the wristcock and swivel strictly have to travel up and down an inclined plane their dual motion will always be completely co-ordinate (although the 'degress' of what happens in terms of ratios will be different with accordance to the plane angle(perhaps a good future project)) and actually makes a sequenced release impossible. However if you introduce a third circle - the wristbend (which still keeps it inside a sphere) on the backstroke and downstroke, it can allow a pure sequenced release because the actual left palm can then be placed onplane. The wristcock will still be perpendicular and yet also onplane rather than the left flying wedge going through from above plane at an angle making the wristcock move the clubhead underplane.

[Mathew]

Another point of interest is because the clubshaft rotates around the sweetspot, that right forearm then would also rotate around the sweetspot if it remained absolutely frozen in its impact alignments. Again the right wrist movements if unlimited(vertical, horizontal, and rotational) will move the secondary lever assembly around in a perfect sphere. The right wrist bending, turning, cocking can all be independant of the left wrist depending on the location of the right forearm. The right forearm likewise without regards to any anatomical restrictions can move in a sphere round its clamp...

[Mathew]

The angle of the left arm as it enters the plane is always dictated by the length of the left arm going from the point of the left shoulder above plane to the hand into the plane... There will be a mathematical correlation (although this list may not be accurate or complete - just noting my thoughts) between the leftwrist cock, the angle of the left flying wedge into the plane, the swivel, the angle of the inclined plane and the starting point of zero acc#3 dictated by reference to the hinge action plane with travel relative to the inclined plane angle.

Heres another way of looking at it also - lets say you where entirely preforming a stroke with the left hand always staying vertical to lets say, the horizontal hinge action. Now if the wristcock was performed without a swivel also in this vertical plane then the clubhead is going off plane.... its going up and down vertical to the ground whilst the plane is inclined..... how can you get it onplane - the only ways is co-ordinately using the swivel in unison with the wristcock to bring it onplane - creating a simultaneous loading and release....

The circles that are created via #2 and #3 are at 90 degrees,and both need to be used relative to each other which will result with a simultaneous release and loading..... so what about sequence releases ...

Inside a sphere there are actually THREE 90 degree circles and at least two of them are only needed to move the secondary lever assembly anywhere inside a sphere but unless the motion is exactly on a single circle - at least two of them have to be implimented (with three combinations 1+2,1+3,2+3). Imagine a Globe - you have the equator (circle no.1) - Now draw a '+' side on top of the north pole and continue these lines all the way round to an equivalent '+' on the south pole (circle no.2 and no.3).... These three circles of motion that create a spherical motion of the secondary lever assembly are the left wristcock, the left wrist bending and the rotation of the forearm... since two have to be employed at any one time - for the wristcock to go from cocked to level with the clubhead onplane you must impliment a left wrist bend (double wristcock) to the negative degree of the left arm angle into the plane to inorder to align the circle of the wristcock motion to enable a sequenced release....

[Yoda]

The angle of the left arm as it enters the plane is always dictated by the length of the left arm going from the point of the left shoulder above plane to the hand into the plane... There will be a mathematical correlation (although this list may not be accurate or complete - just noting my thoughts) between the leftwrist cock, the angle of the left flying wedge into the plane, the swivel, the angle of the inclined plane and the starting point of zero acc#3 dictated by reference to the hinge action plane with travel relative to the inclined plane angle.

Heres another way of looking at it also - lets say you where entirely preforming a stroke with the left hand always staying vertical to lets say, the horizontal hinge action. Now if the wristcock was performed without a swivel also in this vertical plane then the clubhead is going off plane.... its going up and down vertical to the ground whilst the plane is inclined..... how can you get it onplane - the only ways is co-ordinately using the swivel in unison with the wristcock to bring it onplane - creating a simultaneous loading and release....

The circles that are created via #2 and #3 are at 90 degrees,and both need to be used relative to each other which will result with a simultaneous release and loading..... so what about sequence releases ...

Inside a sphere there are actually THREE 90 degree circles and at least two of them are only needed to move the secondary lever assembly anywhere inside a sphere but unless the motion is exactly on a single circle - at least two of them have to be implimented (with three combinations 1+2,1+3,2+3). Imagine a Globe - you have the equator (circle no.1) - Now draw a '+' side on top of the north pole and continue these lines all the way round to an equivalent '+' on the south pole (circle no.2 and no.3).... These three circles of motion that create a spherical motion of the secondary lever assembly are the left wristcock, the left wrist bending and the rotation of the forearm... since two have to be employed at any one time - for the wristcock to go from cocked to level with the clubhead onplane you must impliment a left wrist bend (double wristcock) to the negative degree of the left arm angle into the plane to inorder to align the circle of the wristcock motion to enable a sequenced release....

This is some very cool stuff, Mathew. We talked for about an hour tonight (Atlanta to Scotland) -- thank goodness for Internet Long Distance! -- and I think (but I'm not sure) that I may (but no guarantee) be getting close (relatively speaking) to understanding at least a little or more but maybe less of at least some of most of what you are talking about.

Seriously, I know where you're headed here, and I applaud your effort. That's what this Forum -- The Lab -- is all about. I also know that if you can visualize it, you can animate it.

The Golf World awaits!

[Mike O]

Matthew,
Seemed a little lonely over here- and I was worried you might start answering or arguing with yourself

Good digging- some nice observations!

A little difficult to follow- might be helpful to clarify your perspective and also clarify it's relevancy- I get the feeling it's a area your looking into and still looking for final conclusions or discovery which is great!!!- keep digging.

Question:
If I understand the one section clearly enough- I see your perspective that in regards to a sequenced release- you would need some left wrist bend in order to have the shaft stay on plane IF you were dealing only with the uncocking of the left wrist and the roll of the left forearm. But since the uncocking of the left wrist would put the shaft below plane- wouldn't and isn't the offsetting factor the corresponding outward force of the "body turn" and/or "right arm thrust"- see 2-N-1.

That said- your post really takes that concept that I brought up a while back regarding that the left wrist is not on plane- and takes it further by analyzing and isolating how the sequence release can happen and still stay on plane- so very helpful!! in flushing out some ideas.

I'm thinking you're essentially in the 2-N-1 section-

"Hey, gotta go- Homer's back and looks like we'll be kicking this around for a few hours!"

[Mathew]

This is some very cool stuff, Mathew. We talked for about an hour tonight (Atlanta to Scotland) -- thank goodness for Internet Long Distance! -- and I think (but I'm not sure) that I may (but no guarantee) be getting close (relatively speaking) to understanding at least a little or more but maybe less of at least some of most of what you are talking about.

Seriously, I know where you're headed here, and I applaud your effort. That's what this Forum -- The Lab -- is all about. I also know that if you can visualize it, you can animate it.

The Golf World awaits!

Thanks Yoda

It is a true honour and pleasure to talk to someone so truely intelligent on the golf stroke. There is no one I personally know of who I could have a conversation with like the one we did tonight. You know you 'lose me' often too.... ...lol

You are very gifted my friend ....

[Mathew]

Matthew,
Seemed a little lonely over here- and I was worried you might start answering or arguing with yourself

Good digging- some nice observations!

A little difficult to follow- might be helpful to clarify your perspective and also clarify it's relevancy- I get the feeling it's a area your looking into and still looking for final conclusions or discovery which is great!!!- keep digging.

Question:
If I understand the one section clearly enough- I see your perspective that in regards to a sequenced release- you would need some left wrist bend in order to have the shaft stay on plane IF you were dealing only with the uncocking of the left wrist and the roll of the left forearm. But since the uncocking of the left wrist would put the shaft below plane- wouldn't and isn't the offsetting factor the corresponding outward force of the "body turn" and/or "right arm thrust"- see 2-N-1.

That said- your post really takes that concept that I brought up a while back regarding that the left wrist is not on plane- and takes it further by analyzing and isolating how the sequence release can happen and still stay on plane- so very helpful!! in flushing out some ideas.

I'm thinking you're essentially in the 2-N-1 section-

"Hey, gotta go- Homer's back and looks like we'll be kicking this around for a few hours!"

Thanks for participating in my lil thread here Mike O ....

I consider this as my incubator thread where I keep posting my thoughts at a particular time so I can keep track of them, so unfortunately this thread does have a lot of randomness to it.

re the question - the two circles of the wristcock and acc no.3 need to be working together whist the left arm is above plane, so the only solution if you desire a sequenced release is introducing the third circle (wristbend) to the negative degree of the left arm angle into the plane (triangle shape - don't tell me I might be able to use that SOHCAHTOA trig stuff from school after all...lol) to align the circle of the uncocking of the left wrist to be on plane otherwise the other two circles have to work co-ordinately . The hinge assembly however depicted in 1-L is what can place the left hand anywhere on the plane as it makes its circular motion in 'its' sphere regardless of how it is driven. Provided the left shoulder is above plane as the left arm makes it motion from the sphere created by the hinge assembly this what must happen because the left arm is going through at an angle.....

On another observation I just thought of, this will mean that when the wristbend has to go back to 'flat' it will work co-ordinately when it works with the wristroll to go back to vertical if to stay onplane.

[Mathew]

Vertical planes relative to the inclined plane. This is just a random thought again and may not be totally accurate...

A constant - The vertical plane of any hinge action will go directly through at 90 degrees to the inclined plane and when the blade of the hinge is at 0 (low point) and 180 degrees.

However the rest of the time - horizontal will turn the lever assembly the closer it gets to 90 degrees and then rolls back again until 180....vertical the exact opposite. Angled however maintains the same 90 degree constant throughout regardless of where it is on plane....