[botlcuyj] Riemann zeta flower

Draw a never-ending animation plotting on the complex plane the Riemann zeta function evaluated on the critical line.  This should be easy.

Shade the region from the origin to the function with solid color that changes (like a polar plot).  The zoom level keeps that last revolution in view.  Old values fade away?  Let the animation speed be constant arc length per time.  Or rotate the whole thing at a constant speed (probably involves inverting Riemann Siegel theta function).

Is concurrency the natural way to express this animation?  Every plotted point a thread.