mesh in mathematica

Question

How can you plot a finer mesh like at noninteger values or something? My function is defined for only a very narrow range and Id like to visualize it better with the mesh. Also how do you make the function white? There is no "White" ColorData.

Answer 1

Your color question:

The default color is white for plots, with different colored lighting being used by default to make the plot appear non-white.

You can use the Lighting option (Lighting -> "Neutral") to get non-colored lighting in 3D plots. Then the result is white/grayscale:

Plot3D[Sin[x y], {x, 0, 3}, {y, 0, 3}, Lighting -> "Neutral"]

Your mesh question:

More information or an example is needed to answer this question. But try examining the PlotPoints option in the documentation to start.