Rotating `DensityPlot`

Question

I have a DensityPlot of Tan[x - y] as follows.

I want to set different View Point. (As I know ViewPoint is not active in DensityPlot)

When I rotate the DensityPlot, frame labels, plot legends, and axis also rotate. How to set correct frame labels, plot legends, and axis numbers?

    plot = DensityPlot[Tan[x - y], {x, 0, 2}, {y, 0, 5}, 
   Mesh -> Automatic, MeshFunctions -> {#3 &}, FrameLabel -> {x, y}, PlotLegends -> Automatic];
 Rotate[plot, Pi/2]

I want to get a figure as follows: (But, on the x-axis, the large values can be at the top and small values at the bottom.)

did you try the replace of x and y in {x,0,5},{y,0,5}? — Rom38, Jun 21 '21 at 10:49
It is not clear to me what you are trying to achieve. Can you make a mock-up example to illustrate it? (Show a picture that approximated the result you want.) Do you want the frame rotated? Do you want the contents rotated (that's a coordinate transofrmation)? — Szabolcs, Jun 21 '21 at 11:45
I would call this exchanging the x and y axes, not rotation. When I read "rotation", I though you want to rotate by an arbitrary amount. — Szabolcs, Jun 21 '21 at 12:10
There were prior questions on this, see e.g. https://mathematica.stackexchange.com/q/18655/12 You can simply exchange the x and y variables in your formula and label the axes accordingly. Or do you also want to invert the x axis, so large values are at the bottom and small values at the top? — Szabolcs, Jun 21 '21 at 12:11
On the x-axis, the large values can be at the top and small values at the bottom. — 1_student, Jun 21 '21 at 12:24
To flip the axis, take a look at ScalingFunctions, in particular e.g. ScalingFunctions->{"Reverse",None,None} — Lukas Lang, Jun 21 '21 at 12:27

score 1 · Accepted Answer · answered Jun 21 '21 at 13:09

Just to explore some of the range of possibilities from @Lukas_Lang's comment:

plot = DensityPlot[Tan[x - y], {x, 0, 2}, {y, 0, 5}, 
    Mesh -> Automatic, MeshFunctions -> {#3 &}, FrameLabel -> {x, y}, 
    PlotLegends -> Automatic, ImageSize -> 250, 
    ScalingFunctions -> #] & /@ {
   {None, None, None},
   {"Reverse", None, None},
   {"Reverse", "Reverse", None},
   {"Reverse", "Reverse", "Reverse"},
   {"Reverse", None, "Reverse"}
   }

This preserves the OP's original x & y values/ranges. Not certain if it gives them what they need.

Rotating `DensityPlot`

1 Answers1