FilledPolarCurve¶
Graphics primitive representing the filled region enclosed by a
PolarCurve: FilledPolarCurve[PolarCurve[r, {t, t0, t1}]].
FilledPolarCurve[r, t] (bare variable) fills the region enclosed over the
full period {t, 0, 2 Pi}.
In the CLI Woxi keeps it symbolic on its own so the graphical front ends (the
playground and Woxi Studio) can render it as a graphic, like Wolfram notebooks
do. (wolframscript instead lowers it to a Region[ParametricRegion[…]] — and
warns FilledPolarCurve::argr on the one-argument PolarCurve form, which it
does not support — so these bare forms are documentation only and not part of
the conformance sweep; they are covered by the
polar_curves_stay_symbolic_in_script_mode unit test.)
FilledPolarCurve[PolarCurve[Sin[2 t], {t, 0, 2 Pi}]]
(* Woxi: FilledPolarCurve[PolarCurve[Sin[2*t], {t, 0, 2*Pi}]] *)
FilledPolarCurve[1 - Cos[t], t]
(* Woxi: FilledPolarCurve[1 - Cos[t], t] *)
Inside Graphics it is rendered as a filled region. The two-argument form
matches wolframscript (which wraps its own region in Graphics):
Color and Opacity directives apply as for Polygon: