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How to fill the area between two curves, but without plotting those curves?

For example,

Plot[Sin[x], {x, 0, 2 Pi}, Filling -> {1 -> 0.5}]

gives a plot like this

enter image description here

(0.5 without any marked boundary = form required for a generalization)

but Plot[Sin[x], {x, 0, 2 Pi}, Filling -> {1 -> (Sin[x] - 0.5)}]

draws a plot without filling or even gives an error

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  • 3
    $\begingroup$ PlotStyle -> None? $\endgroup$
    – Kuba
    Dec 1, 2017 at 12:58
  • $\begingroup$ wow, thank you @Kuba $\endgroup$ Dec 1, 2017 at 13:18

1 Answer 1

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In addition to using PlotStyle->None as suggested by @Kuba, you can also do:

Post-process to remove the Line primitives:

Plot[Sin[x], {x, 0, 2 Pi}, Filling -> {1 -> 0.5}] /. _Line :> Sequence[]

enter image description here

Plot[{Sin[x], Sin[x] - 0.5}, {x, 0, 2 Pi}, Filling -> {1 -> {2}}] /. _Line :> Sequence[] 

enter image description here

Use ParametricPlot with options BoundaryStyle -> None and Mesh -> None:

ParametricPlot[{x, t Sin[x] + (1 - t) .5}, {x, 0, 2 Pi}, {t, 0, 1}, 
 BoundaryStyle -> None, Mesh -> None, AspectRatio -> 1/GoldenRatio, Frame -> False]

enter image description here

ParametricPlot[{x, t Sin[x] + (1 - t) (Sin[x] - 0.5)}, {x, 0, 2 Pi}, {t, 0, 1}, 
 BoundaryStyle -> None, Mesh -> None, AspectRatio -> 1/GoldenRatio, Frame -> False]

enter image description here

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  • $\begingroup$ Would there is a reason for RuleDelayed here /. _Line :> Sequence[] instead of just Rule? $\endgroup$
    – hana
    Mar 9, 2022 at 11:24
  • 1
    $\begingroup$ @hana, no reason (just habitual use of :> when there is a pattern on the LHS) $\endgroup$
    – kglr
    Mar 10, 2022 at 0:11

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