Cryptarithmetic Puzzles for 2023, Puzzle #35 BUFFON + NEEDLE = PIPIPI

Are you familiar with the Buffon Needle experiment? It’s one of the first examples of Monte Carlo simulation to approximate pi. That’s the theme of this puzzle.

BUFFON + NEEDLE = PIPIPI This one can be tough, but it is doable by handle given the numerous constraints to get P and I and that all ten digits are used.

You can read more about Buffon’s Needle on Wikipedia. And if you want to read more about pi facts, check out this write up.

Solutions are below the image.

SPOILER SOLUTIONS!

BUFFON_first NEEDLE_second PIPIPI_third
207741 155895 363636
207791 155845 363636
408821 166936 575757
408831 166926 575757