Diamond Kicking System Explained: Mathematical Formulas for 1, 2, and 3-Rail Kick Shots

Training Guide Billiard Guides Editorial Team Updated October 2026 4 min read
Hands-On Tested & Fact-Checked
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The Universal Kicking Formula

In the standard Corner-5 Diamond System, the mathematical relationship governing 2-rail and 3-rail bank and kick shots is: Starting Origin Number − Target 3rd-Rail Number = Aiming 1st-Rail Diamond. Once you memorize diamond coordinates, you will never guess a kick angle again.

Why Pure Intuition Fails on Multi-Rail Kicks

When you are snookered or hooked behind an opponent’s ball, relying on “eyeballing” a kick shot leads to fouls, ball-in-hand penalties, and surrendered racks. The human eye struggles with perspective foreshortening across 9 feet of felt, especially when accounting for cushion compression.

The Diamond System is the geometric cheat-code developed by 3-cushion carom masters and adopted by world-class pool champions like Efren Reyes and TorbjΓΆrn Blomdahl. Built-in pearlized diamond sights inlaid into your pool table’s rails are precise mathematical coordinate markers. Here is how to calculate and execute 1-rail, 2-rail, and 3-rail kicks with surgical precision.


Diamond Coordinate Numbering: The Corner-5 System

To use the Corner-5 System, you must memorize the standardized values assigned to the table rails:

Rail SectionDiamond MarkersAssigned Numerical Values
Starting Long Rail (Origin)Corner pocket to Side pocketCorner = 5, 1st diamond = 6, 2nd = 7, 3rd = 8
First Rail (Aiming Cushion)Short head rail diamonds1st diamond = 1, 2nd diamond = 2, 3rd = 3, Corner = 4
Third Rail (Target Cushion)Opposite long rail diamondsCorner = 0, 1st diamond = 1, 2nd = 2, 3rd = 3, 4th = 4

Step-by-Step 3-Rail Kick Calculation Example

Imagine your opponent has hooked you behind the 8-ball. Your target object ball sits near the third rail at diamond coordinate 2:

  1. Identify the Target (3rd Rail): The target ball is positioned at Target = 2.
  2. Determine Cue Ball Track (Origin): Lay your cue stick across the cue ball to the first rail. If your cue passes through Origin diamond 5, perform the math:

    Origin (5) − Target (2) = 1st Rail Aim Point (3).
  3. Verify the Sighting Line: Aim your cue directly at Diamond 3 on the first rail.
  4. Stroke Speed & English: Strike with running english (1 tip of high-running spin) at a smooth medium speed (speed 2.5 to 3). The cue ball rebounds off the 1st rail, hits the 2nd rail, and tracks across the table to strike Diamond 2 on the third rail, pocketing the hidden ball!

The Plus-2 System for Shallow 1-Rail and 2-Rail Kicks

When kicking out of the corner around an obstruction to hit a ball hanging near the head rail, the Plus-2 System applies:

  • Formula: 1st Rail Hit + 2 = Cue Ball Return Diamond.
  • If you shoot the cue ball from the corner into diamond 1 on the short rail with 1 tip of running english, the cue ball will rebound off the cushion and return to diamond 3 on the opposite rail (\(1 + 2 = 3\)).
  • If you strike diamond 2, the return point is diamond 4 (\(2 + 2 = 4\)).

Environmental Adjustments: Cloth, Rail Humidity & Rebound Angle

No mathematical system operates in a vacuum. You must calibrate your calculations based on local table physics:

  • High-Speed Worsted Cloth (Simonis 860): Rebounds are longer and truer. The standard mathematical formulas work almost verbatim without sliding adjustments.
  • Heavy Napped Wool Cloth: Friction grips the ball, causing rebounds to “shorten” by roughly 1/4 to 1/2 of a diamond. Aim 1/4 diamond higher on your 1st-rail contact.
  • Hard, Cold Cushions: Stiff rubber absorbs less kinetic energy, causing the ball to bank wider. Add slight draw to retain the rebound angle.

Essential Strategic Resources

Frequently Asked Questions

Do diamond systems work on bar box (7-foot) tables?

Yes! Because 7-foot, 8-foot, and 9-foot regulation pool tables all maintain a 2:1 length-to-width ratio, the geometric angle relationships remain identical. However, bar tables with thicker cloth and smaller pockets require slightly firmer stroke speed.

Should I aim at the diamond sight or the cushion nose opposite the diamond?

For rail kicks, aim at the nose of the cushion directly aligned with the diamond sight, not the pearl inlay on the wooden rail cap itself.