Sharivari on aiming....

Thanks, Larry!

Look at PJ's shot images... The ob is on 20. It's so easy from there to just look where the cb-ob centerline points to on the rail. If it points to 10, it's a halfball shot. No measuring or estimations needed.
Sorry for my ignorance, but does your Poology system break down with short CB-OB distances?
 
Sorry for my ignorance, but does your Poology system break down with short CB-OB distances?

Yes....Adjustments have to be made anytime the cb is within about 8 to 10 inches or closer to the ob.

Maybe this method Oikawa has would work nice when the balls are close. That would be sweet.
 
Yes....Adjustments have to be made anytime the cb is within about 8 to 10 inches or closer to the ob.

Maybe this method Oikawa has would work nice when the balls are close. That would be sweet.
To clarify, when I said the GB guess doesn't matter, I meant typical shots where the CB and OB aren't too close. Indeed, the further away they are, the smaller the error from misjudging the GB is. However, if it's a close cut, you can use the self-correcting principle I mentioned in the last page, to make it as accurate as you want, even when OB and CB are close.

So, without the self-correction, it's just as bad at close shots, but if you are willing to spend a quite long time iterating a few times, it works well.

There is actually maybe an even more accurate way of doing it for shots that are not thinner than a half ball hit (although even slower, so I'm not saying it's practical), which I have been tinkering with, which would remove any need of guesswork, and give an accurate result for any CB/OB distance. I just never got to testing it enough to be able to say how well it works, but if my current assumptions are correct, it should work, just requires good mental arithmetic to be accurate.

I'll try to explain the basic idea, maybe someone can spot a flaw.

If you use the same angle measurement system as mentioned by me, but instead of getting CB-GB and OB-target values and subtracting their difference, you measure the following:

CB - center OB
CB - edge OB (edge towards the cut direction)
OB - target

Subtract the difference between the first two, and replace the second value with that. Now you have:

CB - center OB
Difference between CB-center & CB-edge
OB - Target

Now, subtract the difference between the first and last values, and forget both of original values afterwards, only keeping the differences. Now you have:

Difference between CB - center OB & OB - target

and

Difference between CB - center & CB - edge

Now we, sort of, deduct the real GB location mathematically based only on those values.

We need to know two things:
Real angle value of a full ball hit is 0
Real angle value of a half ball hit is 2.5.

If any of our values if above 2.5, this means our shot isn't half ball hit or thicker, and the method doesn't work.

Now, if we say, for example, the first value is 1.5, and the second value is 0.5, it might look like this:

1701761060155.png


The first value (1.5, red line relative to the upper yellow line) tells the angle value to pot the ball if it was a full ball hit (which we know it's not, since the angle value is much larger than 0), and the second value (0.5, difference between yellow lines) added to the first value tells the angle value if it was a half ball hit (which we know it's not, since half ball hit is 2.5). So 1.5 = full hit assumption, (1.5 + 0.5) 2.0 = half ball hit assumption.

So, we know that the real angle value for our GB target is somewhere between 1.5 and 2.0.

With those values, 1.5 and 2.0, we can imagine/visualize two number lines:

0_________1_________2____2.5
_______________1.5__2_______

0 to 2.5
1.5 to 2.0

To get the answer, find the point where those two values meet, when both values are gradually going from one end to the other at a linear speed, such that they both start and end at the same point in time. To do this, i think of a table of the values, in some amount of divisions. In this case, I observe that the line can be neatly divided into 5 parts, and get an accurate answer by thinking of a table like this:

0 - 1.5
0.5 - 1.6
1 - 1.7
1.5 - 1.8
2 - 1.9
2.5 - 2

The crossing point is between 1.5 - 1.8 and 2 - 1.9, closer to the latter one, so the value is probably like 1.88'ish. But .1 precision is already 1/80th of a cut angle, you don't need 1/800th precision. So 1.9 is fine as an answer.

For example, with 0->1 and 0->2 values "racing", this crossing point would be at 0, since the only point they have the same value at the same point in time is 0.

Or, another example, with 0->2.5 and 2->2.4, it would be near 2.4.

To convert that angle value into an aimable overlap, you can, for example, use the table I mentioned on the last page.

This is very hard to explain neatly in words, I hope it's understandable enough.
 
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TL;DR version of the above:

A mathematical method of calculating the exact cut angle of any shot no matter the OB/CB distance, however not practical due to being so slow to measure.
 
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I actually have learned calculate any cut angle. I did learn all angles from diamonds to diamonds and diamonds to pockets.
I then take angle from pocket to ball and add or minus cueball approach angle to ball. You have to be able to roughly first see cut to get proper cueball approach angle.

I use it first when i try learn new shot or work on shot that i have troubles. Or I use it when I feel uncertain about aim. Then i calculate cut angle and I have aiming picture in my head to any angle. I then line up shot with that picture in mind and if I feel good I shoot. Otherwise i double check my calculations.

Sometimes my feel and calculations don´t match and then I need to decide which one I will use. I think 75% of time my feel is wrong and calculations are correct. (EDIT: these shots are then very complicated)

I admit that is not practical for most of players and need a ton of study and practice but i like using it and it is very handy skill to have when teaching.
half ball from 21 degrees.png
half ball from 26 degrees.png
 
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I actually have learned calculate any cut angle. I did learn all angles from diamonds to diamonds and diamonds to pockets.
I then take angle from pocket to ball and add or minus cueball approach angle to ball. You have to be able to roughly first see cut to get proper cueball approach angle.

I use it first when i try learn new shot or work on shot that i have troubles. Or I use it when I feel uncertain about aim. Then i calculate cut angle and I have aiming picture in my head to any angle. I then line up shot with that picture in mind and if I feel good I shoot. Otherwise i double check my calculations.

Sometimes my feel and calculations don´t match and then I need to decide which one I will use. I think 75% of time my feel is wrong and calculations are correct.

I admit that is not practical for most of players and need a ton of study and practice but i like using it and it is very handy skill to have when teaching.
Nice. Sounds similar to what I described on last page. Not practical due to slowness, but works, and good for the practice table if you need to measure angles for whatever reason.
 
Nice. Sounds similar to what I described on last page. Not practical due to slowness, but works, and good for the practice table if you need to measure angles for whatever reason.
It is practical when you master it. Only take few seconds from me.
 
I admit that is not practical for most of players and need a ton of study and practice but i like using it and it is very handy skill to have when teaching.
Do you teach your students how to do your angle calculations?
 
I actually have learned calculate any cut angle. I did learn all angles from diamonds to diamonds and diamonds to pockets.
I then take angle from pocket to ball and add or minus cueball approach angle to ball. You have to be able to roughly first see cut to get proper cueball approach angle.

I use it first when i try learn new shot or work on shot that i have troubles. Or I use it when I feel uncertain about aim. Then i calculate cut angle and I have aiming picture in my head to any angle. I then line up shot with that picture in mind and if I feel good I shoot. Otherwise i double check my calculations.

Sometimes my feel and calculations don´t match and then I need to decide which one I will use. I think 75% of time my feel is wrong and calculations are correct. (EDIT: these shots are then very complicated)

I admit that is not practical for most of players and need a ton of study and practice but i like using it and it is very handy skill to have when teaching.View attachment 731042View attachment 731043
Interesting, thanks for sharing. What software did you use for those table layouts?
 
I actually have learned calculate any cut angle. I did learn all angles from diamonds to diamonds and diamonds to pockets.
I then take angle from pocket to ball and add or minus cueball approach angle to ball. You have to be able to roughly first see cut to get proper cueball approach angle.

I use it first when i try learn new shot or work on shot that i have troubles. Or I use it when I feel uncertain about aim. Then i calculate cut angle and I have aiming picture in my head to any angle. I then line up shot with that picture in mind and if I feel good I shoot. Otherwise i double check my calculations.

Sometimes my feel and calculations don´t match and then I need to decide which one I will use. I think 75% of time my feel is wrong and calculations are correct. (EDIT: these shots are then very complicated)

I admit that is not practical for most of players and need a ton of study and practice but i like using it and it is very handy skill to have when teaching.View attachment 731042View attachment 731043
if you have to see cut to get proper approach angle
havent you a;ready aimed the shot?
even if you cant say its a 28.46 degree cut?
 
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Do you teach your students how to do your angle calculations?
Some of them. Depends if they want to learn it and are they ready for it. I also teach drills then how to attach proper aiming picture for different cuts. I teach 10, 15, 20, 28, 35, 45 and 60 degree cuts. Then rest you need to adjust from those references.
 
i you have to see cut to get proper approach angle
havent you a;ready aimed the shot?
even if you cant say its a 28.46 degree cut?
Yes and no. You don't need perfect approach angle to calculate. Just good enough.
 
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Interesting, thanks for sharing. What software did you use for those table layouts?
That’s shooters Pool. I took screenshot from above of replay. So angles are right for sure. (edit: I draw black lines with gimp and measured all line angles with gimps angle measure tool. :) )
 
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Here's a shortcut for estimating CB/OB major overlaps (1/4, 1/2 & 3/4) using simple ratios of CB>OB distance and CB offset from straight on.

pj
chgo
Well... Not quite. The angles you show are arctan(1/1), arctan(1/2) and arctan(1/4)

Those are respectively 45.0, 26,6, and 14.0 degrees

On the other hand we have the actual (friction free) cut angles versus fraction of hit:

1/4-ball hit -- 48.6
1/2-ball hit -- 30.0
3/4-ball hit -- 14.5

Those are respectively arcsiin(3/4), arcsin(1/2) and arcsin(1/4)

For most players, your diagram is probably fine as long as it remains a player's standard. They'll adjust.
 
Well... Not quite. The angles you show are arctan(1/1), arctan(1/2) and arctan(1/4)

Those are respectively 45.0, 26,6, and 14.0 degrees

On the other hand we have the actual (friction free) cut angles versus fraction of hit:

1/4-ball hit -- 48.6
1/2-ball hit -- 30.0
3/4-ball hit -- 14.5

Those are respectively arcsiin(3/4), arcsin(1/2) and arcsin(1/4)

For most players, your diagram is probably fine as long as it remains a player's standard. They'll adjust.
I think the adjustment is part of it, but it allows categorization of the angle. It's up to you to adjust for the pace of the cue ball, any side spin you're putting on it etc. But it helps to make you confident in your starting point.
 
Well... Not quite. The angles you show are arctan(1/1), arctan(1/2) and arctan(1/4)

Those are respectively 45.0, 26,6, and 14.0 degrees

On the other hand we have the actual (friction free) cut angles versus fraction of hit:

1/4-ball hit -- 48.6
1/2-ball hit -- 30.0
3/4-ball hit -- 14.5

Those are respectively arcsiin(3/4), arcsin(1/2) and arcsin(1/4)

For most players, your diagram is probably fine as long as it remains a player's standard. They'll adjust.
I suppose I should have said "a shortcut for roughly estimating".

pj
chgo
 
if you have to see cut to get proper approach angle
havent you a;ready aimed the shot?
even if you cant say its a 28.46 degree cut?
No, some people can put a curtain across the table hiding the entire end of the table and still make that shot.
 
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