There is no doubt a very simple answer to this that I’ve overlooked. How would one plot a surface x=y, where z is any real number?
Which plotting library are you asking about? Have you tried googling or searching the forum? For me the first google hit is:
and the second is:
Yes, thank you I’ve seen that. It explains what to do when z=something. I am asking for the specific case where the plane is defined with two variables x=y.
Sorry it seems I don’t really understand what you’re asking. The last example of the SO answer is:
julia> x = y = 0:0.1:10
0.0:0.1:10.0
julia> z = f.(x', y) ; # note the ' which permutes the dims of x
julia> surface(x, y, z)
so here indeed x=y. Could you maybe elaborate a little on what it is you’re trying to do and what’s going wrong?
In 3D space, x=y is a vertical plane. Using Plots.jl’s plotlyjs backend, one way to plot vertical surfaces is shown in this other post. I think you just need to apply a trivial 45 degrees rotation to the vertical plane meshes shown, in order to obtain the x=y surface.
There is an implicit 3D plotting package that provides a more elegant solution.
In my example z cannot be defined as a function but rather is simply any real value and the plane is entirely defined by x=y. In this case what should replace the f.(x’,y)? Thank you for trying to help me.
Thank you for pointing me to this package. It looks like it might be a good solution:
using Implicit3DPlotting
f(x) = x[1]-x[2]
plot_implicit_surface(f; transparency=true)
Improving the way the plot looks is tricky and was hoping for something that could be overlaid onto existing plots.
Each plane can be plotted as a parameterized surface.
In particular, x=y, can be parameterized as:
x=u
y=u,
z=v
where u and v belong to some intervals.
Example:
using PlotlyJS
ul= range(-1, 1, length=10)
vl= range(0, 0.75, length=8)
u= [s for t in vl, s in ul]
v= [t for t in vl, s in ul]
pl= Plot(surface(x=u, y=u, z=v, colorscale=[[0, "#ADD8E6"], [1, "#ADD8E6"]],
showscale=false),
Layout(width=500, height=400, scene_camera_eye=attr(x=1.95, y=1, z=0.75)))
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The implicit 3D plotting package uses Makie.jl and you can ask questions in this forum and the experts will guide you. If the existing plots are also in Makie, I guess the overlaying should be possible.
Thank you, this is perfect for what I was looking for.