nx_sqprim_gate.nx

nx_sqprim_gate.nx -- teeth for the SUPERQUADRIC primitive in nx_bodyatlas (2026-07-27). ★WHY: every part in the atlas was an axis-aligned ELLIPSOID. The literature calls that the EARLY formulation for anatomy; the modern primitive is the GENERALIZED CYLINDER, of which superquadrics are the superelliptical-cross-section subset (6 pose + 3 size + 2 SHAPE parameters). An ellipsoid cannot express a vertebral body (boxy) or a tapering muscle belly (pinched) -- not badly, AT ALL, because it has no shape degree of freedom. This gate proves the exponent is a real DOF and not a relabel. ★THE ORDERING IS THE POINT AND IT IS MEASURED, NOT ASSERTED: for a fixed radius the enclosed volume must be strictly increasing in the exponent -- a diamond is inside an ellipsoid is inside a rounded box -- because higher exponents push the surface out toward the corners of the bounding box. expect_exit: 0 license_tier: ORIGINAL No hw writes (Rule 26).