Default color filling together with HatchFilling

Question

How can I use "Filling" in plot with two different styles?

Specifically, I want to change the second "filling" to HatchFill with lines?

Plot[{x, 2 x}, {x, 0, 1}, Filling -> {1 -> {2}, 2 -> Top}]

I come up with a complex method as follow:

Plot[{x, 2 x}, {x, 0, 1}, Filling -> {1 -> {2}}]
Plot[{x, 2 x}, {x, 0, 1}, Filling -> {2 -> Top}, 
 FillingStyle -> HatchFilling[]]
Show[{%1,%2}]

Is there a simple way to express the two needs in one sec? Thx a lot!

Plot[{x, 2 x}, {x, 0, 1}, Filling -> {1 -> {2}, 2 -> {Top, Directive[Green, HatchFilling[]]}}] — cvgmt, Sep 30 at 10:59
One additional question: is there a directive like HatchFilling to fill a region with dots? :) — Jay Zhang, Sep 30 at 11:12

eldo · Accepted Answer · 2023-09-30 11:53:02Z

4

Plot[{x, 2 x}, {x, 0, 1},
 Filling ->
  {1 -> {2},
   2 -> {Top, Directive[ColorData[97, "ColorList"][[2]], HatchFilling[]]}}]

Plot[{x, 2 x}, {x, 0, 1},
 Filling ->
  {1 -> {2},
   2 -> {Top, 
     Directive[ColorData[97, "ColorList"][[2]], 
      HatchFilling["Vertical"]]}}]

There are many more HatchFilling options. See Documentation.

Addendum

To fill with dots (as per comment) use PatternFilling:

 Plot[{x, 2 x}, {x, 0, 1}, Filling -> {1 -> {2}, 2 -> {Top,
     PatternFilling[{"Halftone", ColorData[97, "ColorList"][[2]]}, ImageScaled[1/20]]}}]

You can control the number and size of the points with the ImageScaled - parameter.

answered Sep 30 at 11:00

eldo

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$\begingroup$ Thanks! BTW, does 97 stand for the color set of the default plot theme? What is the number for the "scientific" theme then? $\endgroup$
– Jay Zhang
Sep 30 at 11:20
$\begingroup$ Yes, that's the default. With other words, the hatch filling color is the same as the line color. I don't know the number for the "scientific" theme. $\endgroup$
– eldo
Sep 30 at 11:26

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