Q-criterion — the coherent vortices, extracted

The Q-criterion is how fluid dynamicists see a turbulent flow's skeleton. Split the velocity gradient into strain S (stretching) and rotation Ω (spin); then Q = ½(‖Ω‖² − ‖S‖²). Where Q > 0, rotation wins — you are inside a vortex tube. Here that scalar is computed on a grid from the Helix Noise velocity and its isosurface is extracted by marching cubes, tinted by helicity sign (teal right / amber left). Raise coherence and watch a formless tangle condense into distinct tubes. Drag to orbit.

helix-noise · Q = ½(‖Ω‖²−‖S‖²) · marching cubes
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Why this is here

The Q-criterion is the standard way to visualize a flow's vortex skeleton: it isolates the regions where rotation Ω beats strain S. Because Helix Noise gives an analytic, divergence-free velocity field, computing Q on a grid and extracting its isosurface is cheap and exact — a direct window onto the coherent structures the coherence knob builds.