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plotting - Labeling backplanes in a 3D plot using "enclosed numbers" (i.e. ①, ② ...)


When we use ListPlot3D or Plot3D in Mathematica, a box is generated to contain the plot, as shown below. In the drawings below, I intentionally did not draw any plot in the box for the sake of clarity and generality; however in my problem I am using ListPlot3D.


Empty box


I show three axes as they would be generated by e.g. Plot3D[f[x, y], {x, 0, 2}, {y, 0, 3}]].


I would like to draw enclosed numbers on the faces of this box at the following coordinates:


① -> {1.5,   0,  0}
② -> {2.0, 1.5, 0}
③ -> {1.0, 3.0, 0}

④ -> { 0, 1.5, 0}
⑤ -> {1.0, 1.5, -1}

Here is a rough approximation of what I would like the end result to look like:


box with axes and numbers



Answer



Clear[circle]
circle[n_Integer /; 1 <= n <= 10] :=
Style[FromCharacterCode[9311 + n], FontFamily -> "Arial Unicode MS"]
circle[n_Integer /; 1 <= n <= 10, size_Integer?(# > 0 &)] :=

Style[FromCharacterCode[9311 + n], size, FontFamily -> "Arial Unicode MS"]

Show[
Plot3D[f[x, y],
{x, 0, 2}, {y, 0, 3},
ViewAngle -> 0.50, ViewPoint -> {2, -2.5, 0.7}
],
Graphics3D[{
Black,
Text[circle[1, 24], {1.5, 0, 0}],

Text[circle[2, 24], {2, 1.5, 0}],
Lighter@Gray,
Text[circle[3, 24], {1, 3, 0}],
Gray,
Text[circle[4, 24], {0, 1.5, 0}],
Style[Text[circle[5, 24], {1, 1.5, -1}], FontSlant -> Italic]
}]
]

Mathematica graphics



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