/ goal im a golfer on a putting green, i have standard golf equipment, clubs, putter, tee, golf ball. devise a way to read the green so that i know how fast to put and how far if any outside the hole it should be putted. use any geometry or math needed so if i were to raise my putter to align the hole what would that look like create an animation that would explain it

Executive Summary

Root synthesis complete. Rebuilt the physics engine (green_reading.py) with all three key formulas (β=θ·sin(α), Δy=½·k·β·t_h², aim=−Δy) and created a comprehensive interactive HTML animation covering all 10 scenes: title, break physics, ball-hole setup, plumb-bob technique, cross-slope formula, shaft reading, break computation, aim point, putt trajectory, and summary.