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Planes can be latched from the rotation-plane matrix with the arrow keys and Space, so the instrument is fully operable with no hands in frame.
Gestural instrument
Two hands drive a four-dimensional polytope, composited live into your own camera image. One hand picks the plane of rotation; the other is the pedal.
Turn your device sideways. The camera frame is wide: landscape keeps both hands in view and gives the polytope the whole screen. Prop the phone up so both hands are free.
Everything runs locally in this browser. No frame ever leaves the computer.