Reflected walker · five sine ribbons along the path

Combines reflected-vector-five-path-buffer (the traversal generator) with five-sine-waves-synchronized-buffers (the wave engine). A constant-speed point steers forward-biased and reflects off the walls. Its direction of movement drives five phase-shifted sine waves (φ = 0, π/8, π/4, 3π/8, π/2) that follow the walker's path as one continuous ribbon — the ribbon extends as far as the walker has travelled, turns as the walker turns, and the crests keep flowing in the direction of travel, never stopping.

The faint gold line is the walker's actual path; the five coloured ribbons oscillate perpendicular to it. Each ribbon keeps a rolling window of the path (≈2.5 box-widths of forward motion) and the phase travels along it, so the waves flow forward continuously. Space pauses/resumes. Speed is 9% of the box per second.