The 300 "Correlators" Suggests 4D, $\mathcal{N}$ = 1 SUSY Is a Solution to a Set of Sudoku Puzzles

A conjecture is made that the weight space for 4D, $\mathcal{N}$-extended supersymmetrical representations is embedded within the permutahedra associated with permutation groups $\mathbb{S}{}_d$. Adinkras and Coxeter Groups associated with minimal representations of 4D, $\mathcal{N}$ = 1 supersymmetry provide evidence supporting this conjecture. It is shown the appearance of the mathematics of 4D, $\mathcal{N}$ = 1 minimal off-shell supersymmetry representations is equivalent to solving a four color problem on the truncated octahedron. This observation suggest an entirely new way to approach the off-shell SUSY auxiliary field problem based on IT algorithms probing the properties of $\mathbb{S}{}_d$.