🎱 TAILUGE BILLIARDS

Interactive Three-Cushion Shot Analysis & Training

Understand why a shot works — and how much room you have for error.

This interactive shot analysis tool lets you study three-cushion shots in much more detail than simply drawing a predicted trajectory. Set up a position, choose the shot, and explore how changes in aim, spin, power and elevation affect the result. The analysis panel beside the table can show the successful and unsuccessful variations around the original shot — a scatter across the cue ball's face, plus a tolerance bar for aim shift, speed and elevation — so you can see which parts of your technique the shot is most sensitive to.

The key idea: How sensitive is your three-cushion shot?

A shot is not simply "right" or "wrong".

Some shots have a large margin for error. A small change in aim or speed still produces a successful result. Other shots are extremely sensitive: a tiny change in the contact point, spin or power sends the cue ball somewhere completely different.

Split view of the table beside the shot analysis panel, showing a spin scatter of scored and missed variations next to aim shift, speed and elevation tolerance bars
The table alongside the shot analysis panel: green dots are the variations that score, red dots are the misses, and the white ring marks the shot as it is currently set up. Click to open this shot in the analysis view.

Shot analysis lets you explore this sensitivity interactively. For example, hold the position constant and vary the aim slightly. Then vary the speed. Then experiment with spin or cue elevation. The analysis shows how these changes affect the resulting path and whether the shot still succeeds.

This gives you a practical way to understand what you need to control when playing the shot on a real table.

Explore the shot, not just the answer

The analysis panel displays the shot together with variations around it: green marks a variation that scores, red an outcome that misses, and a white marker shows where the shot currently sits. The spin scatter maps this over the cue ball's face — left and right english across, follow and draw up and down — while a white tick on each bar marks the original shot parameters.

The result is effectively a map of the shot's tolerance: you can see where the playable region is and how quickly the outcome changes as you move away from the ideal shot. Only one display shows a full scan at a time, so Show on a bar replaces the scatter with that bar's one-dimensional sweep. Every variation that was evaluated can be downloaded as a CSV.

Learn what matters

Aim shift (ball widths)

See how far you can shift the ghost-ball line before the shot stops working, measured in ball widths and labelled left and right to match the table. This can help distinguish a shot that requires extremely precise alignment from one where a small aiming error is acceptable.

Spin (side vs top/back)

Explore how side, follow and draw change the outcome across the cue ball's face. Rather than memorising a single setting, experiment with the range of spin that produces a useful result.

Speed

Test how sensitive a position is to speed. Some shots depend on arriving at a particular point with the correct speed, while others remain successful over a much wider range.

Elevation

Investigate how changes in cue elevation affect the trajectory and outcome, from a level cue to a steeply raised one. This is particularly useful for shots where elevation is an important part of the technique — Show on the elevation bar also opens the cue tilt control.

Turn practice into something you can study

The simulator can be used as a laboratory for your own three-cushion play. Find an interesting position from a game, recreate it, and investigate it. Try different approaches. Find the range of aim, spin and power that works. Then save the result as a diagram you can return to later.

Instead of simply being told "use this shot", you can investigate why it works and what happens when you get it slightly wrong.

Simulation output for a three-cushion shot shown above the shot input panel with aim, spin and elevation controls
Simulation output above the shot input for the same shot. Change the aim, spin, power or elevation and watch how the paths develop. Click to open this shot on the physics page.

Create diagrams for teaching and sharing

Shot positions can also be turned into diagrams for your own notes, training material or three-cushion articles. The diagram export turns an analysed position into a clean SVG chart for blog posts and documentation — vector artwork that stays sharp at any size and can be dropped straight into a page or printed for a training folder.

This makes the simulator useful not only for practising shots, but also for creating and communicating three-cushion knowledge — expanding its audience to teachers, bloggers, forum users, and researchers.

Exported three-cushion diagram showing the cue ball, both object balls and every cushion contact of their paths on a table of grid squares
A three-cushion shot exported as an SVG diagram at 2.99 m/s: the cue ball, both object balls and each cushion contact along the way. Click to open the same shot in the export tool.

From the table to your training notes

A useful training position doesn't have to disappear after you play it. Analyse a shot, record what you discovered, and use the resulting diagram as a reference for future practice. You can build your own collection of positions and experiments — including difficult shots from real games, system experiments and shots you want to understand better.

The goal is not to replace practice on a real table. It is to make the time between practice sessions more useful by giving you a way to experiment, visualise and reason about shots.

For players who want to go deeper

The simulator is based on a physics model of billiard balls, cushions, friction and spin. That makes it possible to investigate questions that are difficult to answer with a static diagram alone:

  • How much does the path change if the speed is reduced?
  • How much side spin can be removed before the shot no longer reaches the target?
  • How accurate does the aim need to be?
  • Which parameter is actually responsible for the difficult part of the shot?
Forces on a ball at the cushion
Forces on the ball at the cushion. (Source: Mathavan et al. (2010)) — see how the cushion model works.

Experiment with the shot and find out.

Training is more than making the shot

A good training tool should help you understand what to practise. A shot with a narrow tolerance tells you that precision matters. A shot with a wide tolerance tells you that you may be able to concentrate on another part of your technique.

Combined with the site's shot exams and practice modes, shot analysis provides a coherent way to move from playing a shot → analysing it → practising it → testing yourself on it.