Not a simulation of silk.
A different reason for it.

Every thread lies on a minimal surface: a surface whose two principal curvatures cancel at every point. Its mean curvature is zero. The geometry is generated from a holomorphic polynomial using the Weierstrass–Enneper representation.

Move: your pointer changes the complex coefficient a, genuinely reshaping the surface. Drag: rotate the view. Scroll or pinch: move closer. Click: advance θ through the surface’s associate family, while sending a luminous wave through its threads.

At fixed g, changing θ preserves intrinsic distances, even as the surface folds through space. Switching studies continuously changes the polynomial coefficients. The surface stays minimal even during the transition.

The geometry is analytic; the displayed mesh is an approximation. Thread placement, travelling glints, optical color and bloom are artistic choices, not a physical cloth simulation. There are no imported models, textures, fonts, libraries or network requests. A simpler Canvas renderer takes over when WebGL is unavailable.

Mathematical background: G. Xu & G. Wang, Parametric polynomial minimal surfaces of arbitrary degree (2010). The polynomial deformation and visual treatment here are implemented directly.