# The Three-Gap Theorem

The Three-Gap Theorem

The three-gap theorem states that if you place points on a circle at angles , then there will be at most three distinct angles (gaps) between adjacent pairs of points. When there are three gaps, the largest equals the sum of the other two. Red shows the largest angle, green the middle and blue the smallest.

n+1

0,θ,2θ,3θ,…,nθ