How Many Angles Is Enough?

Hi PJ - thanks for the great data! This has really got me thinking a little further... I now wonder what happens if you constrain all cuts to 45degrees or less - (the angle of a 1/4 ball hit). My thought is, that as you go above 45 degrees you need lots more aiming points, because the resultant cut is more and more sensitive to aim.

45deg represents a shot most people will take, above that, with the OB 5 feet from the pocket, I start thinking safe...

I'll do this calculation a little later today if you don't get to it. I'm also planning to replicate your original calc. to make sure we're comparing apples to apples.

Jon
 
... as long as you are using the aim points, not contact points, that the "systems" do the adjusting themselves just by the change in distance and angles. I don't think you would need anymore than 10 or 12 spots. Being as we are working with spheres, the adjustments are inherent as long as you are using the same aim point.
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This is a common misconception about these kinds of systems. It's simply not true.

pj
chgo
 
Omg Pat, where are these crazy numbers coming from?! :p

You know at x ft, if you try and say there are 100 angles needed, that I could easily set down the cue ball x ft from the pocket that isn't one of those 100, right? (which is supporting what you are saying, anyway)

That's like saying .9 is the smallest number less than 1... Unless you go with .99, .999, .9999, etc...there are literally an infinite number of angles in pool, you can divide them up forever (even though eventually they will be "accurate-enough" for the game).
 
... I could easily set down the cue ball x ft from the pocket that isn't one of those 100, right?
... you can divide them up forever (even though eventually they will be "accurate-enough" for the game).
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Did you notice that you contradicted yourself here? Yes, they eventually get accurate enough - that's why there are no angles that miss when you have enough angles.

pj
chgo
 
shakes said:
Of course, but what I'm saying is that as long as you are using the aim points, not contact points, that the "systems" do the adjusting themselves just by the change in distance and angles. I don't think you would need anymore than 10 or 12 spots. Being as we are working with spheres, the adjustments are inherent as long as you are using the same aim point.
Click to expand...
No, yours is a common misconception. Each of your spots sends the object ball along only a single direction relative to the path of the incoming cue ball. If you can do the geometry, you can figure out the exact degrees in the cut angle. That hit gets that cut angle, and only that cut angle unless you depart from the system according to feel and subconscious corrections.
 
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