banhnho.com tools · tier 1: geometry
Place the balls — how to play it
Drag with finger or mouse · arrow keys ±1 mm (Shift ±10)
Measurements (mm)
| Ball | Top long rail | Right short rail | Bottom long rail | Left short rail |
|---|---|---|---|---|
| Cue ball | 86.2 | 209.9 | 49.7 | 67.9 |
| Ball 1 | 67.9 | 209.9 | 67.9 | 67.9 |
| Ball 2 | 67.9 | 67.9 | 67.9 | 209.9 |
| Pair | Centre–centre | Edge–edge |
|---|---|---|
| Cue – Ball 1 | 18 | 12.1 |
| Cue – Ball 2 | 143 | 137 |
| Ball 1 – Ball 2 | 142 | 135.9 |
Table 2840 × 1420 mm, balls Ø 61.5 mm. Rail distances measured from the ball edge.
Paths to score 22
max rails:
Paths built by mirror reflection, sorted by length (shorter is usually easier). No english, speed or friction yet — tier 2 adds physics, tier 3 adds make probability.
How to use
- Drag the cue ball (white), ball 1 (yellow) and ball 2 (red) to their real positions. Coordinates in mm show on each ball.
- Read the measurements: distance to each rail, centre–centre and edge–edge; frozen balls are flagged in red.
- Pick a path from the list to draw it: “ball 1 first” (cue → ball 1 → ≥ 3 rails → ball 2) or “rail first” (bank).
- Tap “Share position” to send the link to a friend or coach — the link holds all three coordinates.