How to combine 3d and 2d plots?
Hi, I am trying to include 2d plots of a 3d functions in specific points, fx. if i have a plottet function z=y*z and then i want to plot a function over when y=1 or 2 or 3 and so on. or when x=1 or 2 or 3 and so on.
I am dealing with this assignment:
sage: x,y,z = var('x,y,z')
sage: f = x^2+sqrt(y)
Then i can prepare that one for a 3d plot
sage: P = f.plot3d((x,-5,5),(y,-5,5),color="red",opacity=0.7)
Then i read something somewhere that you can put the cuts in the 3dplot by
sage: plot3d(z=0, **kwds)
and they gave the EXAMPLE:
sage: sum([plot(z*sin(x), 0, 10).plot3d(z) for z in range(6)]) #long
So for my case i try
sage: S = sum([plot(x^2+sqrt(y), -5,5 for y in range(6)])
sage: K = P+S
sage: K.show(aspect_ratio=[1,1,1])
Because i don't know how to include the z axis in the example. So i get some lines but they are lying down on the x/y axis i tried changing the variable y with z but it doesnt change anything.
Please help me!
Kind regards Martin Mårtensson