where 𝑏 is the fraction of the domain that is black and 𝑏 3 + (1 -𝑏) 3 is the probability that all three cuts lie in the same color (black or white). This probability is maximized (0.75) when there are equal parts black and white (𝑏 = 0.5). In contrast, the LS method always produces new interfaces regardless of the black fraction, 𝑏.