Why CTE is silly

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FYI, I have some good illustrations dealing with this topic in the articles listed here:

A corner pocket can "look" significantly larger with slow shots at shallow angles to a rail (especially on a "bar box"), but not 7".

Regards,
Dave

I briefly looked at the first article. From that I get the idea that you may be making the same error as others: You're saying the pocket is LARGER--but it's larger, when viewed from the NARROWED pocket that you see from down the rail.

When I was talking about a "4-5" inch pocket, of course what I was talking about is a 4-5 in pocketing WINDOW. What that means exactly is the WIDTH of an imaginary line AT the distance/location of the pocket (i.e., the distance of the shot) which is PERPENDICULAR to the line that the OB travels to get to the pocket, which, if the edge of any approaching ball is within that line, the ball will fall.

So, to visualize that width, all one needs to do is extend the OB trajectory (and if the cushion is in the way, imagining it magically passing through) until it gets to the "pocket area" and measure from the opposite pocket cushion point, to where the edge of the OB WOULD BE (from the imaginary OB-pocket line). In the few video examples given that I responded to, that edge (each time, coincidentally) seemed to be almost exactly at a place where the back of the rubber rail meets the wooden part of the siderails. By my eye alone, the relevant distance (length from the opposite cushion point of the pocket, to the point where the rubber meets the wood--drawn at an angle perpendicular to the path of the ball) looks to be, ta-dah!, pretty much identical to the "standard width" of the mouth of a corner pocket, as seen from a straight-into-the-mouth direction.

Now, I'm NOT trying to make any extraordinary claims here. As you point out at the start in your article--pockets are complicated, and they vary between tables. But it DOES APPEAR ROUGHLY VALID that the "effective width**" of a pocket is about the measured width, taken in the normal way.

I was SURPRISED by the video examples given, then when imagining the path of the ball as if it had magically passed through the rail rather than bouncing off, that the shot really wasn't AS WIDE AS PEOPLE MIGHT GENERALLY THINK; that in all three cases I discussed, the outside edge of the ball seemed to be pointing to about the SAME SPOT in each case--where the rubber meets the wood, at the pocket.

This is moderately interesting to me, and I'm interested in what you or Bob Jewett (especially, since it was his information that I stole) have to say about this.

But again, what I'm interested in is the EFFECTIVE POCKET WIDTH as determined by the width, at the distance of the pocket, that separates the outside edges of the "makeable" zone--determined by the edges of balls that just go. And that includes the edges of balls that hit the cushion, IF, their trajectories are extended in such a manner to show where they WOULD HAVE GONE if the rail hadn't obstructed them and changed their path.

So far, I haven't seen any info that suggests Bob Jewett's approximation isn't quite practical and, roughly, accurate.



**EDIT: And by that I mean the effective width on ANY ONE SHOT. Of course, if you ADD TOGETHER all possible shots (like those coming down the short rail PLUS those coming down the long rail), etc., well, sure...you can come up with a TEN INCH pocket, I suppose. The only thing that matters is what the effective pocket width is when you're trying to make a shot. By my estimation (and I guess by Bob Jewett's) it looks to be approximately the "actual" width that one would measure across the open jaws in the "standard" position--no matter from what angle you approach it. Of course, that's NOT true of the SIDE pockets; only the corner pockets.


ANOTHER EDIT: Furthermore, it's important to get back on track. My first post was meant to show the REQUIREMENTS of accuracy to be a good, or effective player. The figure of about a 4.5" pocket width fits that bill. It DOESN'T MATTER if SOMETIMES pockets can be more forgiving, when some other times (different shot angles) they AREN'T. To play well you have to be able to consistently make shots within a 4.5" pocket window WHEN THAT IS WHAT YOU'RE UP AGAINST. It's nice to get a break once in awhile, so one shot is easier to make in one pocket, at the same distance as another shot, but at a different pocket approach angle. But to be any kind of a decent player, you need to be able to make the shot at the more difficult angle of pocket approach (not down the rail) as well as the easier angles of approach (down the rail).


And ONE FINAL EDIT: Perhaps it's true that some "extra width" can be found on pockets from the rail with slow shots (but I don't claim to know that--AFAIK the jury's still out). Might it also be shown that under conditions of HIGHER speed the pocket size actually SHRINKS for near the rail shots? The more I think about this (and adding in the many often strategic and necessary difficult shots into the side) the more I think that, if anything, perhaps my tolerances should be TIGHTENED. In any case, when we watch pros plays, one of the most notable characteristics is how OFTEN they fire shots into the center of the visual pocket window (most nice to watch on shots that go down the rail and never touch it). Indeed, one way I personally judge a player's strength in watching him play for a few minutes, is how sloppy his pocketing is (and, of course, the flip side of that is that it's the first lesson in "sandbagging" learned by strong players who want to pick up some money!). Anyhow, the fact is that pros and other exceptionally strong players play at significantly TIGHTER TOLERANCES than those I list on my first post--since they are very often hitting center pocket. The tolerances I list are an attempt to show the range where shots can be made that APPROACH nearly missing. If one shot all shots randomly WITHIN the tolerances I show, and made all shots, he would still look quite sloppy--not at all like a really strong player--even though he might package racks nicely.
 
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GetMeThere, I have one question for you. When you are measuring your pocket width, are we measuring from the centre of the ball travelling to the pocket, or the outside edge? For instance, if I am shooting straight into the closet corner pocket from the spot, is the pocket width 4.5", or is it 2.25"? Just want some clarification before I start drawing triangles for you, and calculating pocket widths. If you agree that a pocket is 4.5" (my table's shimmed) or wider, we can proceed.
 
GetMeThere, I have one question for you. When you are measuring your pocket width, are we measuring from the centre of the ball travelling to the pocket, or the outside edge? For instance, if I am shooting straight into the closet corner pocket from the spot, is the pocket width 4.5", or is it 2.25"? Just want some clarification before I start drawing triangles for you, and calculating pocket widths. If you agree that a pocket is 4.5" (my table's shimmed) or wider, we can proceed.

I didn't measure anything. I took a width originally presented by Bob Jewett (as I recall--I can't be held to this exactly). It wasn't information that I felt was critical to argue over in detail.

The information is as I gave it: a "pocketing zone" is calculated to be any or all paths for the OBs such that AT THE DISTANCE OF THE POCKET, the outside lines of that zone (where the outside edges of the OBs would be) is no greater than 4.25 inches (2 inches, center to center, between the two widest allowable balls. 2 + 1 1/8 + 1 1/8 = 4.25").

With that figure it's fair to say that essentially all shots can be made (although I think you'll find that SOME extreme hard shots down a rail, on a table with VERY tight pockets, might NOT always drop within those tolerances).

The PURPOSE of the figures was to try to calculate the ACCURACY NEEDED, in hitting the OB, to MAKE ALL SHOTS. To calculate such accuracy you don't consider the EASIEST shots, where balls can slop in. You consider the HARDEST shots--where the pocket will be least forgiving.

The results I posted are a very serviceable estimate of the accuracy required, IMO. That DOESN'T CHANGE if occasionally some circumstances arise when LESS accuracy is acceptable.

When you play do you declare that a miss doesn't count if the ball somehow didn't manage to "slop" in? No, I didn't think so.
 
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I think I have already done this on my CTE resource page. Have you read the complete document recently? I revised and improved it over the last few days.

I most certainly look forward to studying Stan's DVD and Spidey's tome when they come out. Honestly, I don't think I will learn any new information from these sources; although, I hope I do.

I think the descriptions and illustrations for "how and why CTE works" on my CTE resource page still apply to Pro-One, SAME-AIM, or any other variation of CTE. If they don't, I will be sure to update the information as I learn more.

Regards,
Dave

I went to your page Dave to see what changes you have made. What purpose does this post on your CTE page serve? If you aren't trying to instigate what would you call it??

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from BRKNRUN:

Ok...You know people talk like CTE is some sort of Religion....I did some research and this is what I found out.

One day God called Hal to the top of the mountain and he gave him the first part of his new system of pool aiming laws for his people - The Center To Edge method. (CTE summarized the absolutes of spiritual and moral shot makeing that God intended for his people.)

God continued to give direction to his people through Hal, including the civil and ceremonial laws for controlling their CB. Eventually God called Hal to the mountain for 40 days and 40 nights. During this time he gave him instructions for the tabernacle and the CTE instructions. When God finished speaking to Hal on Mount Ivory Rock, he gave him two tablets of stone inscribed by the very finger of God. They contained the CTE instructions.

Meanwhile, the people of the pool world had become impatient while waiting for Hal to return with the instructions from God. Hal had been gone for so long that the people gave up on him and begged Stan to make them Pro-1 so they could worship. So Stan collected offerings of gold from all the people and made a instruction video in the form of Pro-1. Then they held a festival and bowed down to worship their idol. So quickly they had fallen into the idolatry they were accustomed to in the pool world and disobeyed God's CTE instructions.

When Hal came down from the mountain with the tablets of stone, his anger burned when he saw the people given over to idolatry. He threw down the two tablets, smashing them to pieces at the foot of the mountain.

Now you all know why there is not complete written instructions for CTE.
 
I went to your page Dave to see what changes you have made. What purpose does this post on your CTE page serve? If you aren't trying to instigate what would you call it??

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from BRKNRUN:

Ok...You know people talk like CTE is some sort of Religion....I did some research and this is what I found out.

One day God called Hal to the top of the mountain and he gave him the first part of his new system of pool aiming laws for his people - The Center To Edge method. (CTE summarized the absolutes of spiritual and moral shot makeing that God intended for his people.)

God continued to give direction to his people through Hal, including the civil and ceremonial laws for controlling their CB. Eventually God called Hal to the mountain for 40 days and 40 nights. During this time he gave him instructions for the tabernacle and the CTE instructions. When God finished speaking to Hal on Mount Ivory Rock, he gave him two tablets of stone inscribed by the very finger of God. They contained the CTE instructions.

Meanwhile, the people of the pool world had become impatient while waiting for Hal to return with the instructions from God. Hal had been gone for so long that the people gave up on him and begged Stan to make them Pro-1 so they could worship. So Stan collected offerings of gold from all the people and made a instruction video in the form of Pro-1. Then they held a festival and bowed down to worship their idol. So quickly they had fallen into the idolatry they were accustomed to in the pool world and disobeyed God's CTE instructions.

When Hal came down from the mountain with the tablets of stone, his anger burned when he saw the people given over to idolatry. He threw down the two tablets, smashing them to pieces at the foot of the mountain.

Now you all know why there is not complete written instructions for CTE.

This is actually on his website?
 
I went to your page Dave to see what changes you have made. What purpose does this post on your CTE page serve? If you aren't trying to instigate what would you call it??

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from BRKNRUN:

Ok...You know people talk like CTE is some sort of Religion....I did some research and this is what I found out...

Wow. I congratulate Dr. Dave for adding that. He has changed and added to his CTE write-up SIGNIFICANTLY. For me, among the key additions are the few bits of "subconscious" stuff from Stan Shuffet--what better evidence that CTE is NOT based on any sort of "systematic exactitude?"

That being the case, the RELENTLESS defense of CTE's "validity" seems more and more like a religion everyday. BRKNRUN's sermon is a perfect summary of the latest refinement of CTE info.
 
FYI, I have some good illustrations dealing with this topic in the articles listed here:

A corner pocket can "look" significantly larger with slow shots at shallow angles to a rail (especially on a "bar box"), but not 7".

I briefly looked at the first article.
...
I'm interested in is the EFFECTIVE POCKET WIDTH as determined by the width, at the distance of the pocket, that separates the outside edges of the "makeable" zone--determined by the edges of balls that just go. And that includes the edges of balls that hit the cushion, IF, their trajectories are extended in such a manner to show where they WOULD HAVE GONE if the rail hadn't obstructed them and changed their path.
...
Check out all three of the article. I think they cover everything you are talking about (and more) on this topic, with many good illustrations. Here they are:


Regards,
Dave
 
Although it seems like a knock on Cte, I still chuckled. This post will go down in AZB history. Geez, Dave...you are the Energizer bunny! :D:confused: This thread is never gonna die, now!

Best,
Mike

I was always under the assumption it was a serious website dedicated to help the novice poolplayer, my bad.
 
I think I have already done this on my CTE resource page. Have you read the complete document recently? I revised and improved it over the last few days.

I most certainly look forward to studying Stan's DVD and Spidey's tome when they come out. Honestly, I don't think I will learn any new information from these sources; although, I hope I do.

I think the descriptions and illustrations for "how and why CTE works" on my CTE resource page still apply to Pro-One, SAME-AIM, or any other variation of CTE. If they don't, I will be sure to update the information as I learn more.

I went to your page Dave to see what changes you have made. What purpose does this post on your CTE page serve? If you aren't trying to instigate what would you call it??

*******************************************************

from BRKNRUN:

Ok...You know people talk like CTE is some sort of Religion....I did some research and this is what I found out.

One day God called Hal to the top of the mountain and he gave him the first part of his new system of pool aiming laws for his people - The Center To Edge method. (CTE summarized the absolutes of spiritual and moral shot makeing that God intended for his people.)

God continued to give direction to his people through Hal, including the civil and ceremonial laws for controlling their CB. Eventually God called Hal to the mountain for 40 days and 40 nights. During this time he gave him instructions for the tabernacle and the CTE instructions. When God finished speaking to Hal on Mount Ivory Rock, he gave him two tablets of stone inscribed by the very finger of God. They contained the CTE instructions.

Meanwhile, the people of the pool world had become impatient while waiting for Hal to return with the instructions from God. Hal had been gone for so long that the people gave up on him and begged Stan to make them Pro-1 so they could worship. So Stan collected offerings of gold from all the people and made a instruction video in the form of Pro-1. Then they held a festival and bowed down to worship their idol. So quickly they had fallen into the idolatry they were accustomed to in the pool world and disobeyed God's CTE instructions.

When Hal came down from the mountain with the tablets of stone, his anger burned when he saw the people given over to idolatry. He threw down the two tablets, smashing them to pieces at the foot of the mountain.

Now you all know why there is not complete written instructions for CTE.
At the end of my CTE resource page, I do have some memorable quotes from various AZB users concerning CTE. Honestly, I thought BRKNRUN's post was an extremely creative and poetic allegory of a situation that has been very frustrating for many of us over many, many years. That's why I have it quoted. After all of these years of discussion and debate, we still don't seem to have a description or demonstration of CTE that is complete, accurate, or acceptable, to either side of the debate! The two versions included in my document are the best descriptions I have seen to date, but they still seem to cause lots of controversy. I honestly think my resource page explains why and how these and other versions of CTE (or any align-and-pivot aiming system) work, but not everybody accepts these explanations.

Again, for the record, the allegory was written by BRKNRUN, not me. Although, I did quote it because I thought it was an interesting and entertaining allegory (a figurative mode of representation conveying meaning other than the literal).

I admit that I have sometimes personally mocked some of the outrageous claims made by CTE proponents over the years (per the DAM intro below), and I have often mocked the fact that we apparently still don't know what "it" (CTE) is. I honestly think this is ridiculous, given that it has been discussed and debated for about 15 years!!!

Here is the introduction from my DAM resource page. Almost every sentence in this quote has come directly from proponents of align-and-pivot systems like CTE over the years. IMO, when people make unjustified claims like this, they invite criticism and allegory.

I have invented an amazing and new aiming system called DAM that will revolutionize pool playing all around the world. You won't find DAM in any books, because it has just been recently invented. But rest assured ... all future pool books will present DAM in its full glory. DAM is the best and most complete aiming system, that also contributes to correct body alignment, that has ever been devised. Most of the pros use it, especially the Filipino players ... that's why they are so good. DAM works on every shot, regardless of the distance between the balls, or the angle and distance to the pocket. The best thing about DAM is you don't even need to know or see where the pocket is. Just align and pivot, and the ball just goes in the hole. When a good player uses the system, it is impossible to tell ... it will just look like they are naturally pocketing balls. That's when you know they are using DAM!

Try to prove that DAM doesn't work ... you can't, because it does work. If you can't make it work, it is because you really don't understand it. If you ask a pro if he or she uses DAM, and he or she says he or she doesn't, it is because he or she doesn't want you to know his or her secrets. The DAM system will radically improve the shot-making abilities of those who spend the time to learn it. DAM will eventually become the "aiming standard" and will significantly accelerate your learning curve. There are those who will eventually learn the system, and there are those who will not, and be beaten by those who do. If you don't think DAM works, it is because you haven't had personalized lessons with somebody who truly understands it. I make almost every shot with this system ... I rarely miss. Isn't that proof of how good it is? Don't you want to be as good as me? If you want to master the DAM system, you must visit me in person and pay outrageous sums of money to learn all of the required intricacies.

It only takes two days to learn DAM, and if you practice it for two months, you will start winning tournaments. If you can't make it work, it is because you don't have enough "visual intelligence," in which case you are hopeless. Don't ask me to describe the system in words or with diagrams, because this can't be done; although, I do have lots of fancy words and phrases to describe various parts of the system ... aren't you impressed? If you don't believe in my system or if you doubt the validity of my approach, you will be banished by all of my followers.


So I guess I am guilty of mocking some of the outrageous claims made over the years. I am also guilty of mocking the fact that we still don't know what "it" (CTE) is; although, I think my resource page explains how and why "it" works.

Having said all of this, I also want to make it clear that I do appreciate the many possible benefits aiming systems like CTE can offer to some people.

Regards,
Dave
 
Brainy flatulence

I am comforted to know that being very intelligent and an azzhole are not mutually exclusive traits.

My ex-used to tell me that.

She had the intelligence part wrong. (btw,the only time she was ever wrong)

We have been favored with repeated demonstrations, though, that the phenomenen exists and flourishes in this thread. There is a poster child. The emphasis on child.

The good that might come from exchanging differing opinions, has been badly derailed by the deity-like, belittling attitute of one contributor in particular.

STFU

Have a nice day-if that is possible, if the voices will let him.

Me thinks, he thinks too much.

Take care
 
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Is this thread an example of....

tau·tol·o·gy (tô-tl-j)
n. pl. tau·tol·o·gies ogytau·tol·o·gy (tô-tl-j)

1.
a. Needless repetition of the same sense in different words; redundancy.
b. An instance of such repetition.

2. Logic An empty or vacuous statement composed of simpler statements in a fashion that makes it logically true whether the simpler statements are factually true or false; for example, the statement Either it will rain tomorrow or it will not rain tomorrow.


CTE works or it doesn't work?:):thumbup:
 
notI am comforted to know that being very intelligent and an azzhole are not mutually exclusive traits.

My ex-used to tell me that.

She had the intelligence part wrong. (btw,the only time she was ever wrong)

We have been favored with repeated demonstrations, though, that the phenomenen exists and flourishes in this thread. There is a poster child. The emphasis on child.

The good that might come from exchanging differing opinions, has been badly derailed by the deity-like, belittling attitute of one contributor in particular.

STFU

Have a nice day-if that is possible, if the voices will let him.

Me thinks, he thinks too much.

Take care
At first, I thought you were referring to me, especially since your post appeared immediately after mine. :confused:

Thank you for posting the edit clarification indicating that you weren't referring to me. :thumbup:

Although, I'm sure eezbank and cookieman agree with your sentiments applied to me. It certainly doesn't bother me if they do. :p

Regards,
Dave
 
Dr Dave is right in including the "bashing" and even "humorous" side of the CTE argument on his website.

Would you guys rather have it so only the good is reported on his site? Or do you want a broader picture of the CTE debate presented?
 
I didn't measure anything. I took a width originally presented by Bob Jewett (as I recall--I can't be held to this exactly). It wasn't information that I felt was critical to argue over in detail.

The information is as I gave it: a "pocketing zone" is calculated to be any or all paths for the OBs such that AT THE DISTANCE OF THE POCKET, the outside lines of that zone (where the outside edges of the OBs would be) is no greater than 4.25 inches (2 inches, center to center, between the two widest allowable balls. 2 + 1 1/8 + 1 1/8 = 4.25").

With that figure it's fair to say that essentially all shots can be made (although I think you'll find that SOME extreme hard shots down a rail, on a table with VERY tight pockets, might NOT always drop within those tolerances).

The PURPOSE of the figures was to try to calculate the ACCURACY NEEDED, in hitting the OB, to MAKE ALL SHOTS. To calculate such accuracy you don't consider the EASIEST shots, where balls can slop in. You consider the HARDEST shots--where the pocket will be least forgiving.

The results I posted are a very serviceable estimate of the accuracy required, IMO. That DOESN'T CHANGE if occasionally some circumstances arise when LESS accuracy is acceptable.

When you play do you declare that a miss doesn't count if the ball somehow didn't manage to "slop" in? No, I didn't think so.

You've answered it for me right here. You're measuring with the ball centre, and we're measuring with the outside edge. I consider a pool table pocket to be 4.75" wide. In your world, the pocket would be 4.75" - (1.125"x2), or 2.5" wide. After all, if the center of the ball missed the centre line by more than a half a ball width width (1.125"), it wouldn't go in. So, your pocket would be roughly 2.5" wide, the way you measure.

So, am I understanding you now? Sean and I have been talking about edges of balls, not centres.
 
You've answered it for me right here. You're measuring with the ball centre, and we're measuring with the outside edge. I consider a pool table pocket to be 4.75" wide. In your world, the pocket would be 4.75" - (1.125"x2), or 2.5" wide. After all, if the center of the ball missed the centre line by more than a half a ball width width (1.125"), it wouldn't go in. So, your pocket would be roughly 2.5" wide, the way you measure.

So, am I understanding you now? Sean and I have been talking about edges of balls, not centres.

No. You're not understanding. My data specifies a "target window" (call it a pocket, or whatever else you want to call it) of 4.25" It's slightly SMALLER than a "tight" pocket (4.5") because the idea is to specify a range that is more or less GUARANTEED to make all shots. And so my data will define a "triangular zone" of accuracy that has a base of 4.25", and each side represents the outside edge of the OB. For the outer edges to each touch at 4.25" width, you need variation of 2" at the center of the CB. 2 + 1 1/8 + 1 1/8 = 4 .25

In calculations, I use a distance of 2" center-to-center (which produces 4.25" edge-to-edge) because my ANGLE calculations are made based on the center of the ball. To find a shot variation triangle that has a base of 4.25" it's necessary to find sides whose angles (based on my calculations) create a 2" base--ON THE CENTER OF THE OBs; and that produces a 4.25" base on the EDGES.

I put all the information, including Excel formulas, on the first post. Let me know if you have a specific question about something I have on the first post, by quoting directly from that--then, if there's confusion, I can further elaborate on what it means.

To further clarify: The object of the data is to find the range where shots are more or less guaranteed to be MADE. The figure of 2" center-to-center, or 4.25" edge-to-edge comes from BOB JEWETT (IIRC), NOT from me. Although I agree that is sounds reasonable. Many shots are shot HARD. Even straight-in shots, shot directly into the mouth of the pocket (not along the rail), if shot HARD, will rattle and fail to drop if they catch even a small portion of the ball on the pocket point. So situations where a pocket "CAN" be described as being "seven inches" aren't relevant (and, I don't personally think that any pocket "CAN" actually be seen as 7" wide--not on a "tournament set up" 4.5" pocket diamond table, anyhow--but that's a SEPARATE discussion that I don't find particularly interesting, and for which I don't feel uniquely or especially capable of answering. To answer it definitively, you would need the actual table in front of you.)

The purpose of the exercise was not to find the most tolerance a POCKET could possible have, it was to find the most tolerance that SHOTS could have AND STILL RELIABLY DROP. And in fact, if anything my tolerances are TOO EASY. There are shots down the rail--where the actual pocket opening that the ball sees is much LESS than 4.25 inches, and if you hit any part of the rail HARD, you will not make the shot (on a table with so-called "tight pockets"). Putting your shots into a 4.25" window, ball edge-to-ball edge will actually cause an occasional MISS, IMO (on down-the-rail shots hit with high speed, on a tight pocket table). Still, it's a reasonable "ball park" estimate, IMO. And, of course, then there are side pocket shots, which have VARIABLE tolerances--all the way down to zero. My data doesn't even address side pocket tolerance variability. The fact is, if you want to shoot like a pro, you will need to be able to make shots with SIGNIFICANTLY TIGHTER TOLERANCES than those I give.
 
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(Sorry if this has been covered sufficiently above, not all of which I've read. I saw a "required pocketing accuracy" comment, and had a thought about a simple explanation of the issue.)

The center of the object ball needs to go through a "window" that is roughly the width of the pocket minus the width of a ball. That window is roughly one ball wide. Any more to the left or right and the object ball will at least touch a cushion and will probably miss. On worn cloth you can actually see the width of this window in corner pockets as the rail groove is visible where it goes around the corners to the facings.

I would like to put the object ball in the middle half of the window so that there is a little margin to either side, just in case there is a little unexpected roll or skid. That is, I want my pocketing skills to be accurate enough to "hit the middle half." On most corner pockets, that additionally restricted window is close to an inch wide.

Here is a simple rule of thumb to know how many degrees wide that pocket window is: If the object ball is one cue length away from the pocket, the window is one degree wide. If the object ball is half as far from the pocket, the window is two degrees wide. A full-table-length shot, which is about two cue lengths long, has a window only half a degree wide.

(This is based on another rule of thumb: for a typical cue, the width of the butt plate as seen from the tip is close to one degree wide. In a cue length, a 1-inch width is almost exactly one degree.)

If you prefer to think about the full-width window, just multiply my conservative window numbers by two.
 
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