Ropeflow Lab 3D

The ropeflower's question. Watch force N and rev/s together: a nice rotation at minimum force. The f₀ chip is the swing mode of the hanging U, computed from the catenary between your hands. Try the infinity at f₀, then the same 8 reversed: the parametric pump at 2f flips phase and the cost changes. Amber is taut, gray-blue is slack. Recorded imu drives the hands with paths reconstructed from the M5Stack handles (imu_to_path.py; the band-pass is the stay-in-a-ball prior). In that mode frequency is playback speed and size is path scale, and reverse plays the take backwards. Arm program moves the hands on a flow surface: a bulging cylinder whose axis points left to right, so every circle lies in a sagittal plane and the rope keeps turning the same way; crossing slides the circle along the axis through the bulge. Frequency is the turn rate. Arms follow by IK, so the elbow opening in a crossing is emergent from reach. Hand phase lags the left hand behind the right along the same program: 180° is the half-turn handover lag of real matadors, so one hand always carries the circle while the other crosses. Torque N·m is the shoulder cost of the rope: the honest price of a move. Rope trail shows the ribbon the whole rope sweeps: the empirical flow surface. Air flow is a one-way entrainment sketch of the wake (tracers relaxing toward local rope velocity), a cartoon of the air, not a Navier-Stokes solve.