Buffon’s Needle, in motion.

Drop, run, reset, and watch the estimate of π settle in real time.

Intersection rule x ≤ (l / 2) sin θ

Theory P = 2l / (πd), for l ≤ d

Estimator π ≈ 2N / C

Live stage

Needles keep falling. Statistics stay exact.

Controls

Run the experiment

Paused

Setup: l = d = 1. Recent needles stay on stage; totals count every throw.

Total throws N: 0
Intersections C: 0
Experimental probability Ĉ = C / N: —
Theoretical probability: 2 / π ≈ 0.636620
Estimated π: —

Convergence

Estimated π over throws

Estimated π True π