Edge-walk at infinity

Each 2×2 Truchet tile contains a single quarter-circle arc, rotated to one of four angles. The tiles align edge-to-edge, forcing every arc to meet its neighbor along a smooth continuous path. The result is a dense web of short, connected curves—no straight lines, no gaps, no overlaps. This image is generated from one seed, then rendered at 4000×4000 pixels using a Nordic palette of muted greys, slate blues, and warm whites. Notice how every curve terminates precisely at the boundary of its tile—no smoothing, no cheating. The seed 892661 produces a field of closed loops that resemble stone carvings or glacial striations, but the density of the pattern resists any single image from dominating. What happens when you focus on one small quadrant and try to trace every path to its end?