Well I will try CTE a little more today, to see if I can get the bugs out, when I say bugs. I think each of use is different the way we see, how we interpet information, and must adapt to our game.
Stan,
What do you mean by the 1 and 1/8 pivot to increase your game?
Are you saying instead of the 1/2 ball pivot, piviot short of center to those points ?
I posted two pictures in the CTE Aiming thread that shows how edges shift based on perspective. The moment your eyes move, the edge you address on the CB changes and the edge you're sighting on the OB changes. People tend to forget those images - I should prob repost. The perspective change gives a different geometric solution to the shot.
Here are a couple of graphs of the CTE pivot distance (from the tip) according to the desired cut angle. The colors lost something in translation, so some description is in order. The middle curve (black) of the five in each plot is the correct pivot distance for the desired cut angle on the bottom axis. The two adjacent curves, one above and one below, each show the pivot distance that would result in a 2 degree error in OB direction (4 deg. total range). The outermost curves show the same for 5 degree errors (10 deg. total range).
The curves were generated according to the description of the method described at Spiderweb's (Dave's) blog. Based on the somewhat complex shape of the curves, it's hard to see how anyone could know the right pivot distance, or get away with using only one or two. Moreover, in the range of about 20 to 40 degree cuts, the pivot location moves beyond the end of the cue, approaching infinity as you near 30 degrees.
As indicated, they are based on a CB-OB separation of 18" between centers.
View attachment 135334
View attachment 135335
I apologize if this is somewhat out of place and not in line with the drift of the thread. I haven't had a chance to read the whole thing yet.
Jim
After I submitted this post, the images decided to appear, so all is good now.Jim,
Your attachments are not showing up. Please try to post them again. I look forward to seeing what insight the graphs might provide. They might help reveal some of the subconscious adjustments that people can make with a good CTE framework and practice.
Here are a couple of graphs of the CTE pivot distance (from the tip) according to the desired cut angle. The colors lost something in translation, so some description is in order. The middle curve (black) of the five in each plot is the correct pivot distance for the desired cut angle on the bottom axis. The two adjacent curves, one above and one below, each show the pivot distance that would result in a 2 degree error in OB direction (4 deg. total range). The outermost curves show the same for 5 degree errors (10 deg. total range).
The curves were generated according to the description of the method described at Spiderweb's (Dave's) blog. Based on the somewhat complex shape of the curves, it's hard to see how anyone could know the right pivot distance, or get away with using only one or two. Moreover, in the range of about 20 to 40 degree cuts, the pivot location moves beyond the end of the cue, approaching infinity as you near 30 degrees.
As indicated, they are based on a CB-OB separation of 18" between centers.
View attachment 135351
View attachment 135352
Jim
No matter what "aiming system" you use, you need to adjust your aim when using English. FYI, some methods for doing this can be found here:I have one major question. How do you play shape with this system? It's great that you might be able to pocket all these balls with with a center hit after the povit but how do you use this system and play shape for the next shot when one ot two tips of side spin are required?
dr_dave,
The diagrams that I offer for consideration is based on "center of the CB aimed at the contact point on the OB and then shifting to the center of the OB, and then the pivot back to the center of the CB from the new bridge location, but you knew that.:smile:
So this would be "C/CBTCP/OBSTC/OBPTC/CB". WOW:smile:
What is at the core of these diagrams is that it adjust for the OB appearing to be smaller at farther/longer shots an thus reducing the included angle to deliver the CB to the same point of contact with the OB (wherever) - rather than angling away from the OB as would CTE as your diagrams clearly show.
The 30 degree cut doesn't require a shift for it is one of the two shots that I would revert to aiming the center of the CB to the edge of the OB without shift or pivot - the other is the straight in shot where I would aim the center of the CB to the center of the OB - this is, to me, academic.
I don't have ACad at home so I will do the 10 degree and 20 degree diagrams tomorrow for those that are interested.
Thanks
I have one major question. How do you play shape with this system? It's great that you might be able to pocket all these balls with with a center hit after the povit but how do you use this system and play shape for the next shot when one ot two tips of side spin are required?
However, everything at the same distance changes by the same proportion due to perspective. So the ghostball is also smaller, right? I still think the 2D drawings tell the whole story. If you take a 2D drawing (e.g., any of my posted diagrams) and distort it to show the perspective effect, I think the conclusions are still the same. Think about it some more, as will I. I'm sorry if I missed your point. Please let me know if I did. Also, please let me know if what I posted on the resource page sounds appropriate. Again, I wasn't sure I understood the main conclusions from your drawings.dr_dave,
In diagraming the examples in Acad, I realize why a 2D picture doesn't tell the whole story because of foreshortening (perspctive) - as you get down, the CB appears larger than the OB.
No matter what "aiming system" you use, you need to adjust your aim when using English. FYI, some methods for doing this can be found here:
These two videos provide a good introduction:
Regards,
Dave
LAMas,
FYI, I just added the following to my CTE resource page:
There are many possible variations on CTE. For example, LAMas has suggested a center-to-contact-point alignment with a shift to the OB center (instead of the CB edge) and pivot back to the CB center (for more info, see his post). This method seems to get close to the right target for a collection of shots, with a fairly consistent pivot length. However, all CTE variations will require changes in alignment and/or effective pivot length as the cut angle and shot distance change.
Thank you for the drawings. It is surprising to me how well your approach seems to do. Good job.
However, everything at the same distance changes by the same proportion due to perspective. So the ghostball is also smaller, right? I still think the 2D drawings tell the whole story. If you take a 2D drawing (e.g., any of my posted diagrams) and distort it to show the perspective effect, I think the conclusions are still the same. Think about it some more, as will I. I'm sorry if I missed your point. Please let me know if I did. Also, please let me know if what I posted on the resource page sounds appropriate. Again, I wasn't sure I understood the main conclusions from your drawings.
Regards,
Dave
Ok, this is getting a little out of hand.
JB, you've been polite and you've been a sport, so I hate to call you out here... but to hint that the system helps play shape for you or somehow auto-compensates for the use of sidespin is absurd.
All it does (if it works at all) is get you your correct line of aim with center ball. This line of aim might ARGUABLY cancel out collision-induced throw in the sense that the shooter figures out this line of aim with experience and subsconscious adjustment (or visual intelligence if you want).
It does NOT cancel out the well-known effect of spin-induced throw. Once you're done pivoting, you've simply got your centerball line of aim. The system ends when the pivot does. If you then decide to apply sidespin (or even just draw) at this point, you will want to TWEAK that line of aim to compensate for the throw. The system has no tools or formula for that tweaking process.
You aren't training in the use of using backhand english just because at some point you had the stick pivoted off to the side. Training in the use of english involves actually hitting a ball offcenter. And to do that, the CTE user must go through the same challenges anyone else does. It's not like that pivoting action gives you practice for the "feel" of allowing a cue ball to squirt to the side, or how much tip offset gets you ideal results on a slow-spin inside english shot, or the amount of speed you need to put on a low-outside rail cut to prevent swerve in the CB's path.
Let's keep it real here guys. CTE proponents already make some hard-to-swallow claims. Trying to claim it helps with position play too is SERIOUSLY overselling it, and will hurt CTE's reputation more than help it.