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 Documentation / Mathematica / Built-in Functions / Graphics and Sound / 3D Plots  /
Plot3D

  • Plot3D[ f , x , xmin , xmax , y , ymin , ymax ] generates a three-dimensional plot of f as a function of x and y.
  • Plot3D[ f , s , x , xmin , xmax , y , ymin , ymax ] generates a three-dimensional plot in which the height of the surface is specified by f, and the shading is specified by s.
  • Plot3D evaluates its arguments in a non-standard way (see Section A.4.2). You should use Evaluate to evaluate the function to be plotted if this can safely be done before specific numerical values are supplied.
  • Plot3D has the same options as SurfaceGraphics, with the following additions:
  • Plot3D has the default option setting Axes -> True.
  • Plot3D returns a SurfaceGraphics object.
  • The function f should give a real number for all values of x and y at which it is evaluated. There will be holes in the final surface at any values of x and y for which f does not yield a real number value.
  • If Lighting->False and no shading function s is specified, the surface is shaded according to height. The shading is determined by the option ColorFunction; the default is gray levels.
  • The shading function s must yield GrayLevel, Hue or RGBColor directives, or SurfaceColor objects.
  • Plot3D includes a setting for the MeshRange option in the SurfaceGraphics object it returns.
  • See the Mathematica book: Section 1.9.7.
  • See also: ListPlot3D, ContourPlot, DensityPlot, Graphics3D.

    Further Examples

    Here are two three-dimensional surface plots; the second has with a few options set. You can see all the possible options and their default settings with Options[Plot3D]].

    Evaluate the cells to see the graphics.

    In[1]:=

    In[2]:=