How to make a picture of the set {(x,y,z) \in R^3| y=sin(1/x), z=sin(1/y)}

Questions
1

How to make a picture of the set {(x,y,z) \in R^3| y=sin(1/x), z=sin(1/y)}; x\in [-1,..,-0,1]\cup[0,1,..,1]; y\in [-1,..,-0,1]\cup[0,1,..,1]

2

Hi Vladimir,

What have you tried? Have you tried using the functions Range, Tuples along with ListPointPlot3D?

Try to typeset your problem a little bit better; it not clear exactly what you want. You can use LaTeX if you use double dollar-signs

$ \cup $

gives

\cup

3

To solve this problem, I would begin by looking at the documentation for ContourPlot and ContourPlot3D