>> (I say 'lucky' because Buffon's Method converges extremely badly, and it's well possible that Udo achieved this good result by choosing his stopping point judiciously - perhaps influenced by the 3.1418 quoted by his contemporary, Leonard of Pisa, otherwise known as Fibonacci).
Udo was truly well ahead of his time [1]. Martingale theory wasn't discovered until the 20th century, but Udo finds a way to subtly apply martingales in a way that many of us would struggle to understand even today.