Labeling Three-Dimensional Graphics
Mathematica provides various options for labeling three-dimensional graphics. Some of these options are directly analogous to those for two-dimensional graphics, discussed in "Labeling Two-Dimensional Graphics". Others are different.
Some options for labeling three-dimensional graphics.
The default for
Graphics3D is to include a box, but no other forms of labeling.
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This adds grid lines to each face of the box.
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| BoxStyle->style | specify the style for the box |
| AxesStyle->style | specify the style for the axes |
| AxesStyle->{xstyle,ystyle,zstyle} | specify separate styles for each axis |
Style options.
This makes the box dashed, and draws axes that are thicker than normal.
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By setting the option Axes->True, you tell Mathematica to draw axes on the edges of the three-dimensional box. However, for each axis, there are in principle four possible edges on which it can be drawn. The option AxesEdge allows you to specify on which edge to draw each of the axes.
| AxesEdge->Automatic | use an internal algorithm to choose where to draw all axes |
| AxesEdge->{xspec,yspec,zspec} | give separate specifications for each of the  ,  , and  axes |
| None | do not draw this axis |
| Automatic | decide automatically where to draw this axis |
| {diri,dirj} | specify on which of the four possible edges to draw this axis |
Specifying where to draw three-dimensional axes.
This draws the
on the edge with larger
and
coordinates, draws no
axis, and chooses automatically where to draw the
axis.
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When you draw the 
axis on a three-dimensional box, there are four possible edges on which the axis can be drawn. These edges are distinguished by having larger or smaller 
and 
coordinates. When you use the specification 
for where to draw the 
axis, you can set the 
to be 
or 
to represent larger or smaller values for the 
and 
coordinates.
Axis labels in three-dimensional graphics.
You can use
AxesLabel to label edges of the box, without necessarily drawing scales on them.
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Settings for the Ticks option.
You can give the same kind of tick mark specifications in three dimensions as were described for two-dimensional graphics in "Labeling Two-Dimensional Graphics".
| FaceGrids->None | draw no grid lines on faces |
| FaceGrids->All | draw grid lines on all faces |
| FaceGrids->{face1,face2,...} | draw grid lines on the faces specified by the  |
| FaceGrids->{{face1,{xgrid1,ygrid1}},...} | use  ,  to determine where and how to draw grid lines on each face |
Drawing grid lines in three dimensions.
Mathematica allows you to draw grid lines on the faces of the box that surrounds a three-dimensional object. If you set FaceGrids->All, grid lines are drawn in gray on every face. By setting FaceGrids->{face1, face2, ...} you can tell Mathematica to draw grid lines only on specific faces. Each face is specified by a list 
, where two of the 
must be 
, and the third one is 
or 
. For each face, you can also explicitly tell Mathematica where and how to draw the grid lines, using the same kind of specifications as you give for the GridLines option in two-dimensional graphics.
This draws grid lines only on the top and bottom faces of the box.
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, 
, and 
axes on the edges of the box
axis only
axis
