My Simple Aiming Metrics

By finding the two contact points and connecting them with the cue, there is no need to remember an offset from center.
A simple parallel shift to center ball takes you there.
Learning to hit a target with the front of the cue ball rather than replacing that idea with a 2D rendered fraction or anything other than the real target, is looking for a way around the work needed to become comfortable with that skill.
I was lucky, starting on a snooker table, my aiming task, while learning, was to hit the end of paper matches set at right angles to the rail and just peeking over the edge.
Hitting those match heads from various angles helped develop a real connection between the cue and the front of the ball.
That connection pays dividends every time I’m shooting over a ball or from off the rail.
I can’t see the face of the ball in those cases but don’t need to, when I learned to make contact with the actual part of the ball that needs to make contact.
There is no abstraction in that process.
The front of the ball can be visualized on the visible face of the cue ball, 2 dimensionally, as an equatorial ellipse. You can determine the precise ellipse for different cue elevations or just eyeball it.
 
The front of the ball can be visualized on the visible face of the cue ball, 2 dimensionally, as an equatorial ellipse. You can determine the precise ellipse for different cue elevations or just eyeball it.
When the face is blocked by the rail the shortened bridge puts the shooter in a position where the front of the ball is more visible from the closer and more over the ball position.
Learning to shoot from that overhead position is especially valuable when balls get closer together.
Trying to visualize a two dimensional representation on a three dimensional object is definitely an abstraction.
 
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