3D Math & Spatial Reasoning -- Correctness Patterns

Prerequisite skills: unity-scripting (Vector3/Quaternion API), unity-foundations (Transform, GameObjects), unity-physics (raycasting basics)

These patterns target the most dangerous Claude failure mode: plausible-looking math that compiles but produces wrong results. Each pattern documents Claude's default mistake and the correct Unity approach.

PATTERN: Coordinate Space -- TransformPoint vs TransformDirection

WHEN: Converting between local and world space

WRONG (Claude default):

// Using TransformDirection for a position offset
Vector3 worldPos = transform.TransformDirection(localOffset);