A Combinatorial Scaffold for Subtle-Body Enumerations: 7-Cube Logic Layer, K₃₈₀ Transport Mesh, and a Disciplined Ten-Count Residue

Esoteric traditions frequently cite recurring numerical motifs to describe the subtle body (7 chakras, 84 major nadis, 72, 000 secondary channels, 10 sefirot). These figures are commonly interpreted as either literal anatomy or symbolic numerology. This paper adopts a third position: we treat the numbers as hard constraints and construct explicit combinatorial objects whose invariants match the traditional tallies exactly where possible and approximate them optimally otherwise (optimal in absolute error over integer n for the complete-graph target). We present two core constructions. First, the 7-dimensional hypercube (7-cube, “hepteract”) is used as a binary state space with 2⁷ = 128 vertices representing on/off configurations of seven gates. Its 5-faces count to 84 via the general n-cube k-face formula 2^ (n−k) * (n choose k). Second, we model the widely cited nadi count 72, 000 in hatha yoga sources as a maximal-connectivity network: the complete graph Kₙ has “n choose 2” edges (or n (n−1) /2), and the integer n that minimizes |n (n−1) /2 − 72, 000| is n = 380, yielding 72, 010 edges (a deviation of 10). To avoid the perception of post-hoc fitting, we also record an independent anatomical-motif hypothesis that converges on the same node count n = 380: (108 marma points) × (3. 5 kundalini coils) + 2 polar endpoints. The resulting scaffold unifies Eastern flow-based (Vedic nadi) and Western station-based (Kabbalistic sefirot) frameworks within a single mathematical object. Finally, we specify a reproducible 3D embedding (“spine-and-ports”) for visualization in VTK/Mayavi and formalize the ten-count deviation as an intrinsic topological residue — a disciplined tagging budget for auxiliary structure that does not alter the base mesh. For convenience, we refer to this K₃80 transport construction (together with its ten-count residue) as the Kreuz–Nadi mesh.