Here is a quick example of visualising a function of two variables using the pm3d "palette-mapped" 3d plot. It comes from a module I teach on computational techniques and is the end result of a solution of the Laplace equation for the electrical potential, in a square region in which the potential along the upper boundary of the square is held at +100V and is 0V along the other boundaries. The data, in the file pot.dat, is here.
# set up the terminal to be the interactive wxt display, # but with equal width and height set term wxt size 400,400 # we will be plotting a function of two variables, but we # don't want the default surface plot unset surface # view from above set view 0,90 # set the coloured "pm3d" plot (rather than the surface, # which we unset above) set pm3d # viewing from above, we don't want to have the z-axis # tick marks shown all bunched up unset ztics # now plot, with a title splot 'pot.dat' title "Potential"