CLT: Repeated Convolution

Sum of n iid random variables → n-fold convolution of the base distribution. The Gaussian is the fixed point of convolution. Variance of sum = n × σ²_single.

Base Distribution
Click/drag to draw a distribution shape
n =
1
Speed
σ_sum = √n × σ_single = —
P1: Uniform n=2 → exact triangle on [−2, 2], peak at 0.
P2: n=5 from ANY preset → visually matches Gaussian overlay.