# Label Arbitrary Edges as Axes for 3D Graphics

In any 3D plot in Mathematica, there are 12 edges that, theoretically, can be labeled as axes. We can use AxesEdge to label some combinations, but not any combination. The documentation shows this.

Notice the specification of only three edges. Moreover, I would like to label any combination to be respective axes (for, at least, ListLinePlot3D) and for the plot to be able to be rotated in 3D as usual (so Overlay doesn't work). Is there a nice way of doing this?

For example, I would like the following, but because Overlay is used, the graphic loses functionality such as the ability to be rotated and as well as "right click" functionality like copying.

list = {{0, 0, 0}, {1, 0, 1}, {1, 1, 2}, {2, 2, 2}, {2, 4, 3}, {3, 6,
4}};

Overlay[{
ListLinePlot3D[list, Axes -> True,
AxesEdge -> {{1, -1}, None, None}, AxesLabel -> {"axis", ""}],
ListLinePlot3D[list, Axes -> True,
AxesEdge -> {{-1, -1}, None, None}, AxesLabel -> {"axis", ""}]
}]


Notice, unlike with 2D plots, 3D plots do not have frame options to help us here.

Any ideas?

• Would you know the PlotRange in advance? If so, you might be able to somehow make the axes yourself? Just an idea, but the answer to my first question should provide clarification to anyone who can answer. Commented Apr 20, 2022 at 1:28
• @CATrevillian I’d be ok with knowing it in advance. Commented Apr 20, 2022 at 1:41
• I'd place them manually, perhaps with Epilog->{Line[...],Line[...],text3D[...],...} and label them with text3D if you want rotatable labels (search for it here). Commented Apr 21, 2022 at 2:32