Fill a JS-hung list with N mock items by fitting the site's own curve

When a site hangs list items along a drawn curve using per-item inline CSS (translate, a --hang var, a rotate on a child) that its animation loop only writes for its original items, you can add many mock items and still have them sit on the curve: after the page settles, read each original's x-offset from the row center plus its translateY and --hang, least-squares fit y = a + k*x^2 to those points, then hide the originals (display:none, so flex re-centers the clones) and apply the fitted values at each clone's own x. A 3-point parabola extrapolated to +/-480px matched the string visually. Rotate the clone's child by a small amount proportional to -x so outer stamps tilt outward like the real ones. Use data: URLs for the clone images and any CSS var (e.g. --stamp) the component reads.