bluepepper said:Colin, I'm reposting these pictures from the "mathematical aiming system" thread you created, because they are incredibly relevant to resolving the pivot system arguments. If the graph below actually represents the variety of pivots/bridge hand adjustments required to pocket the variety of labelled shots, then way back in November of 2005 you had already proven that one or two pivots do not fit all shots. Thanks for sparing me from having to create my own experiments. I'd rep you up and down, but I did so too recently.
RESPECTFULLY, YOUR THESIS IS FLAWED. THERE ARE NOT MERELY ONE OR TWO PIVOTS. THE PIVOT IS A FUNCTION OF THE CTE LINE WHICH IS INFINITELY WITH THE CB/OB POSITIONS.
IF SOMEONE SUGGESTED THAT THERE ARE ONLY TWO PIVOTS ON A PLAYGROUND SEE SAW...I.E. UP AND DOWN...THEY WOULD BE WRONG BECAUSE THE SEE SAW ITSELF CAN BE MOVED.
TO MERGE THE ANALOGY, YES YOU CAN ONLY PIVOT LEFT OR RIGHT BUT THE CB/OB MOVE SO THERE ARE A VERY LARGE NUMBER OF PIVOTS RESULTING THE THE CUE POINTING DOWN A LINE OF AIM THAT WILL DIRECT THE OB TO THE POCKET.
I agree that if the Pro One system can place the bridge hand in a simpler way than you explain here:
http://forums.azbilliards.com/showthread.php?t=21113&page=3
then it would certainly be a fantastic system. But (no matter how much you will protest Jim) looking at your graph and seeing how many subtle adjustments would have to be made, I doubt very much that it can do all of the math on its own. Which is probably the reason it took so long for someone like a Landon Shuffett, who is perfectly capable of making a good stroke, to adopt it.
View attachment 74382
View attachment 74383
Respectfully, what you are missing is that all the math and charts and graphs are entirely unnecessary and only serve to complicate what is in fact a SIMPLE process.
There are NO subtle adjustments in the baseline, center ball ASPECT of the SYSTEM. Everything is ROTE and systematic.
No one who knows what they are talking about has ever stated that ONE aspect of the SYSTEM will pocket ALL shots.
It would be helpful if everyone would "listen up" and not require multiple comments on the same subject.
A car is a SYSTEM. The brakes will NOT make the car go forward and the accellerator will not make it stop.
Having said the above, there are NOT very many "components" to the system and the need to access each one of them is blatantly obvious.
As I have stated previously, the system itself is really quite simple. Ironically, the problem is...and what surely takes some time is the process of NOT making "feel based adjustments" that will defeat the system and cause you to miss...just like you have missed identical shots in the past.
IMPORTANT POINT!!!!!!!!!!
If the system is correctly understood and executed, it will fail only due to human intervention. That is true with "feel aiming" as well. But there are great champions who aimed a shot by feel...executed the shot perfectly...and missed because their feel aim was wrong.
That would NEVER be true with CTE/Pro One. Misses have to be a function of getting carless with setting up correctly...or by a poor stroke...or by the imposition of english which AFAIK has not and cannot be reduced to a rote system.
But because we MUST use english to play pool, no one in their right mind would suggest the CTE/Pro One is anything resembling a Holy Grail.
In fact, advanced aiming is a DISTANT second skill...at best...to shape-related skills.
IMPORTANT COMMENT
It is a mistake...and one that I have made out of convenience...to lump Center to Edge together with Pro One in the sense that not all comments about one is true with the other.
Pro One is what Stan calls Phase 3 of a system based upon Hal Houle's work on the Center to Edge system.
Pro One's concepts are unique to Stan and address the FEW limitations of Phases 1 and 2. It is in Phase 3 or "Pro One" where FEEL or "skill derived from trial and error" comes into play.
Regards,
Jim