The Montilla Knot: A Parametric Knotted Torus with Intrinsic Holonomy and Declared Topological Seam

We introduce the Montilla Knot, a closed parametric surface constructed by sweeping a periodic cross-section along the figure-eight knot (4_1) using a Bishop parallel-transport frame. The surface is defined by an explicit set of equations that guarantee closure of the cross-section and verified non-self-intersection. A key finding is that the figure-eight knot possesses an intrinsic holonomy angle of Theta = 31.0694 degrees under parallel transport, which constitutes a topological invariant of t