The above title will probably not be unfamiliar to the readers of The Mathematica Book 5, the former being the topic of the Section 7, Chapter 9, Part 1 of the latter, where three functions are provided: ContourGraphics
, DensityGraphics
, and SurfaceGraphics
.
It was shown there that, e.g., the output of Plot3D
can be transformed into one like the output of ContourPlot
by ContourGraphics
. But the problem is that I only found the above three functions deprecated when I tried to figure out how to use them. And GraphicsComplex
is claimed to be the new version function to do the job, the documentation of which, however, seems not covering the topic.
So, how to realize the conversions among the three kinds of graphics (outputs from ContourPlot
, DensityPlot
and Plot3D
) in newer verions of Mathematica, say after V. 11?