Pool Bank Shot Planning for Construction Layouts
A pool bank shot is a practical geometry problem. It uses reflection, distance, and angle control. In a construction setting, the same idea helps with layout marks, rebound guides, display tables, and training boards. This calculator turns the table into a coordinate grid. You enter the table size, ball position, pocket position, and selected rail. The tool mirrors the target across that rail. It then draws a virtual straight line from the object ball to the mirrored target.
Why the Mirror Method Works
The mirror method is based on equal angles. A ball approaching a rail and a ball leaving a rail form matching angles when spin and cushion effects are small. By reflecting the pocket across the chosen rail, a bent path becomes a straight path. The intersection point on the rail is the bank aim point. This is useful because workers can mark the point without guessing. It also makes practice layouts repeatable.
Advanced Inputs and Adjustments
Real shots are not perfectly geometric. Cloth speed, rail condition, ball wear, pocket size, and stroke speed can change the path. The correction field lets you shift the rail point along the cushion. Use positive or negative values after testing your own table. A small correction can represent throw, spin, or cushion compression. The ball diameter setting moves the effective rebound line inward, so the calculation follows the ball center.
Reading the Result
The result gives the rail point, path distance, rail fraction, and angle data. The rail fraction is helpful for tape marks. A value near fifty percent means the shot hits near the middle of that rail. The distance values help compare short and long banks. The angle values show how steep the shot is. Very steep bank angles may need slower speed or added correction.
Practical Use
Measure from the same corner every time. Keep units consistent. Enter positions as center points, not outside edges. Use the example table to learn the coordinate system. After one test shot, adjust the correction value and recalculate. Repeat until the rail mark matches your real table. This creates a dependable setup for practice, layout planning, or construction documentation. It also reduces costly layout mistakes.