Live count

Peg rows (n)12
Bowls (n+1)13
Distinct paths (2ⁿ)4,096
Marbles dropped0
Paths grow exponentially with every row you add — but they all have to land in one of only n+1 bowls. Watch what that does to the shape below.
marbles counted so far
binomial C(n,k)/2ⁿ

Turn on the sound.

Each marble's clack is synthesized live — a short burst of noise, filtered and pitched by how deep it's fallen. Press start to drop the first marble.