THE LINEAR DISCREPANCY OF 3 × 3 × 3
Gab Byung Chae, Minseok Cheong, Sang‐Mok Kim · Communications of the Korean Mathematical Society · 2010
$3{\times}3{\times}3$ is the meaningful smallest product of three chains of each size 2n+1 since $1{\times}1{\times}1$ is a 1-element poset. The linear discrepancy of the product of three chains $2n{\times}2n{\times}2n$ is found as $6n^3-2n^2-1$ . But the case of the product of three chains