Diamond-system library
Interactive 3-cushion diamond systems & 49 shot blueprints — tap any shot or number cell to see the trajectory in 3 seconds.
Natural Rolling Angle
Cue 20 + Aim 20 = 3rd Rail 40
With 3 running tips: add cue value and 1st-rail aim for 3rd-rail arrival.
OB1 clears to opposite half; 3-rail path is kiss-free.· Apply base formula
| Cue Ball Start | 10 | 15 | 20 | 25 | 30 | 40 |
|---|---|---|---|---|---|---|
| 10 | ||||||
| 20 | ||||||
| 30 | ||||||
| 40 | ||||||
| 50 | — |
3-Cushion Shot Library (5)
Tap any shot card to load its trajectory and 3-second recipe onto the table above.
12 Core 3-Cushion Diamond Systems
Corner-5 (Five & Half System)
★★☆☆☆1st Rail Aim = Cue Ball − 3rd Rail Target (3 tips running)
The world's foundational 3-cushion diamond system: 3rd Rail = Cue Ball Value − 1st Rail Aim.
Plus System (Short & Long)
★★☆☆☆3rd Rail = Cue Start + 1st Rail Aim (3 tips running)
Essential system for short-angle and natural shots: 3rd Rail = Cue Start + 1st Rail Aim.
0-3-6 Spinless System
★★☆☆☆Long Rail Aim = Cue Start + Target Short Rail (0 english)
Spinless Short–Long–Short system (12 o'clock center ball): Long Rail Aim = Cue + Target.
Korean Bola System (Fraction & Tips)
★★★☆☆3rd Rail = Cue − (Eighths × 5 + Tips × 5)
PBA pro secret when cue ball sits close to OB1: compute 3rd rail directly from OB1 eighth-fraction and tip count.
Koba Zigzag System (L-L-L)
★★☆☆☆3rd Rail = Start + Koba Spread (+20 standard at 2 tips)
Long–Long–Long zigzag formula: with 2 standard running tips, cue ball widens by 2 diamonds (20 units).
Ticky Bisector System
★★★☆☆1st Rail Aim = (Cue Diamond + OB1 Diamond) ÷ 2
Midpoint formula for Ticky shots: 1st Rail Aim = (Cue Diamond + OB1 Target Diamond) ÷ 2.
Mirror Reflection System
★★☆☆☆1st Rail Aim = Cue Ball − 3rd Rail Target (3 tips running)
Reflect the target across each cushion in sequence for pure geometric bank shots.
Short-Rail Five & Half
★★★☆☆1st Rail Aim = Cue Ball − 3rd Rail Target (3 tips running)
Half-table adaptation of the Five & Half system starting from the short rail.
Inside & Outside Umbrella System
★★★☆☆3rd Rail = Short Rail Hit × Expansion Factor (2.0 at 3 tips)
Calculates 2nd and 3rd rail expansion when the cue ball hits the short rail first and flares out.
Corner Plate System
★★☆☆☆1st Rail Aim = Cue Ball − 3rd Rail Target (3 tips running)
Solves corner-tucked target balls by gliding smoothly across the two adjacent corner rails.
Double-Rail & Reverse Spin System
★★★★☆1st Rail Aim = Cue Ball − 3rd Rail Target (3 tips running)
Controls sharp spin-back rebounds using 3–4 maximum tips to double a cushion or reverse direction.
Grand Rotation & Sang Lee Diagonal
★★★★☆1st Rail Aim = Diagonal Start + Spread
Full-table 4-to-5 rail rotation and corner-to-corner Sang Lee diagonal calculations.