The 9-Shot Shape Library: Complete Vector Breakdown
The complete 3x3 matrix of golf ball flight: a comprehensive kinematic and aerodynamic vector breakdown of all nine canonical shot shapes.
geometry · 8 min · EVIDENCE_BASED_APPROX
The Classical 3x3 Flight Matrix
Every shot struck in golf can be classified into a fundamental $3 \times 3$ matrix defined by two independent variables:
- Initial Start Direction: Push (Right), Straight (Center), Pull (Left).
- In-Flight Curvature: Draw (Curves Left), Straight (No Curve), Fade (Curves Right).
This produces nine canonical shot shapes. Understanding the exact vector relationships required for each shot is the key to shot-making and course strategy.
The Complete Kinematic Breakdown (Right-Handed Player)
Face angle, club path, and face-to-path below are the preset-catalog inputs. Launch direction, spin-axis tilt, and lateral curve are what the laboratory simulator returns for that preset, shown to one decimal the way the lab telemetry rounds them. They are not a separate tour measurement table.
1. The Straight Shot (neutral-straight preset)
- Face Angle: $0.0^\circ$ | Club Path: $0.0^\circ$ | Face-to-Path: $0.0^\circ$
- Launch Direction: $0.0^\circ$ | Spin Axis: $0.0^\circ$
- Physics: The D-Plane is completely vertical. The ball launches dead on the target line with pure backspin and zero lateral curvature. In practice, this is the hardest shot in golf because it requires $0.0^\circ$ tolerance.
2. The Tour Push-Draw (push-draw preset)
- Face Angle: $+1.5^\circ$ (Open to target) | Club Path: $+3.0^\circ$ (In-to-Out)
- Face-to-Path: $-1.5^\circ$ (Closed to path)
- Launch Direction: $+1.9^\circ$ Right | Spin Axis: $-3.5^\circ$ (Left tilt)
- Physics: The ball starts safely to the right of the flag and gently bends left back to the target. This is the preferred shape of many elite touring professionals.
3. The Push-Fade (push-fade preset)
- Face Angle: $+2.5^\circ$ (Open to target) | Club Path: $+1.0^\circ$ (In-to-Out)
- Face-to-Path: $+1.5^\circ$ (Open to path)
- Launch Direction: $+2.1^\circ$ Right | Spin Axis: $+3.0^\circ$ (Right tilt)
- Physics: Starts right of target and curves further right. Often used to navigate right doglegs around trees.
4. The Straight Push (push preset)
- Face Angle: $+4.0^\circ$ | Club Path: $+4.0^\circ$ | Face-to-Path: $0.0^\circ$
- Launch Direction: $+4.0^\circ$ Right | Spin Axis: $0.0^\circ$
- Physics: Launches right and flies completely straight on a dead push with zero curvature.
5. The Tour Pull-Fade (pull-fade preset)
- Face Angle: $-1.5^\circ$ (Closed to target) | Club Path: $-3.0^\circ$ (Out-to-In)
- Face-to-Path: $+1.5^\circ$ (Open to path)
- Launch Direction: $-1.9^\circ$ Left | Spin Axis: $+3.4^\circ$ (Right tilt)
- Physics: Starts left of the flag and fades gently back onto the pin. Offers exceptional distance control and soft landing.
6. The Pull-Draw (pull-draw preset)
- Face Angle: $-2.5^\circ$ (Closed to target) | Club Path: $-1.0^\circ$ (Out-to-In)
- Face-to-Path: $-1.5^\circ$ (Closed to path)
- Launch Direction: $-2.1^\circ$ Left | Spin Axis: $-3.5^\circ$ (Left tilt)
- Physics: Starts left of target and curves further left.
7. The Straight Pull (pull preset)
- Face Angle: $-4.0^\circ$ | Club Path: $-4.0^\circ$ | Face-to-Path: $0.0^\circ$
- Launch Direction: $-4.0^\circ$ Left | Spin Axis: $0.0^\circ$
- Physics: Launches straight left of target and flies dead straight without curving.
8. The Severe Hook (hook preset)
- Face Angle: $-1.0^\circ$ | Club Path: $+5.0^\circ$ | Face-to-Path: $-6.0^\circ$
- Launch Direction: $-0.1^\circ$ | Spin Axis: $-34.8^\circ$
- Physics: Extreme leftward D-Plane tilt. The laboratory lateral curve for this preset is $-45.3$ yards.
9. The Amateur Slice (slice preset)
- Face Angle: $+3.0^\circ$ | Club Path: $-7.0^\circ$ | Face-to-Path: $+10.0^\circ$
- Launch Direction: $+1.5^\circ$ | Spin Axis: $+22.1^\circ$
- Physics: A large positive Face-to-Path tilts the D-Plane right. The laboratory lateral curve for this preset is $+39.5$ yards.