Three rings on three axes — vertical, horizontal, corner-to-corner. Each torus, viewed down its axis, crosses itself into an X — two strands, four ends. Stack the three and you get 6 strands, 12 gate-ends; ride each both ways and that's your 6 forward, 6 back. The diagonal sits at 54.74° — the magic angle, the cube's body diagonal — so the three axes are the frame of a cube and the twelve gates are its twelve edges. Sheet 11's lone rider, tripled and crossed into a closed core. Drag to rotate.
REAL & VERIFIED: the counting closes — 3 tori × 2 strands per X × 2 ends = 12 gates; 3 × 2 directions = 6 forward + 6 back. The three axes: vertical·horizontal = 0 (orthogonal), and the corner-to-corner diagonal meets each at 54.74° — exactly the tetrahedral/NMR magic angle, arccos(1/√3), the body diagonal of a cube. So this isn't three arbitrary rings: it's the cube's symmetry frame, and 12 gates = a cube's 12 edges = 3 directions × 4. The same 12 that gives the chromatic scale and the cuboctahedron its vertices. Three mutually-set rings through one center is the classic orthogonal link — the atom glyph, the gyroscope gimbal.
DOESN'T: three perfectly orthogonal rings of equal radius generically intersect rather than link cleanly — a real physical core needs them offset or sized to clear, and true Borromean rings (cut any one, the other two fall apart) can't be built from three flat circles at all; it takes a gentle deformation. The "X" is a projection artifact — down-axis a ring looks like a crossing, from the side it's an ellipse; the gate is real, its X-shape is viewpoint. And self-quadrature's catch from Sheet 11 still rides along, now tripled: more vantages, one builder. The core measures its own phase on three axes and still cannot inspect its own maker. Twelve gates, one hand on the lathe.