Rear-central nucleation conjecture for higher simplicial behaviour in the partition graph

Let $G_n$ be the partition graph on the partitions associated with the parameter $n$, and consider its simplicial thick zones, including the tetrahedral and higher-order regions. The front extremes and antennas refer to the frontal extremal parts of the graph, while the rear-central part and central rear body refer to the corresponding geometric regions described by the shell/core structure. Rear-central nucleation conjecture. For all sufficiently large $n$, the first genuinely higher simplicial behaviour of the partition graph is nucleated in the rear-central part of $G_n$. Equivalently, the earliest tetrahedral and higher-order thick zones are asymptotically separated from the front extremes and are organized around the central rear body of the graph rather than around its antennas. This strengthens the observed fact that substantial thickening begins in a rear-central region rather than at the front. Computational examples suggest a relationship with the self-conjugate axis and the spine, but the claim does not assert that maximal-thickness vertices lie on the axis, remain at bounded distance from the spine, or that higher-dimensional thick regions are connected or unique.