## 1.9.7 Converting between Types of Graphics

Contour, density and surface plots are three different ways to display essentially the same information about a function. In all cases, you need the values of a function at a grid of points.

The Mathematica functions ContourPlot, DensityPlot and Plot3D all produce Mathematica graphics objects that include a list of the values of your function on a grid. As a result, having used any one of these functions, Mathematica can easily take its output and use it to produce another type of graphics.

Here is a surface plot.
 In[1]:=  Plot3D[BesselJ[nu, 3x], {nu, 0, 3}, {x, 0, 3}]

 Out[1]=
This converts the object produced by Plot3D into a contour plot.
 In[2]:=  Show[ ContourGraphics[ % ] ]

 Out[2]=

 Show[ContourGraphics[g]] convert to a contour plot Show[DensityGraphics[g]] convert to a density plot Show[SurfaceGraphics[g]] convert to a surface plot Show[Graphics[g]] convert to a two-dimensional image

Conversions between types of graphics.
You can use GraphicsArray to show different types of graphics together.
 In[3]:=  Show[ GraphicsArray[ {%, %%} ] ]

 Out[3]=

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