How can I style bounding 3D boxes?

Questions
1

Hello,

I am looking for an option that specifies the edges of the bounding box and axes to be drawn similar to the following graph.

Doc1.jpg
Doc1.jpg598×433 81.1 KB

I tried:

Plot3D[x^2+y^2, {x, -2, 2}, {y, -2,2},   AxesEdge -> Automatic, Boxed->False]

but it does not work.

graph1.png
graph1.png360×299 32.7 KB

Any help would be greatly appreciated. Thank you!

2

Here is a start

Plot3D[
 x^2 + y^2, {x, -2, 2}, {y, -2, 2},
 Boxed -> False,
 FaceGrids -> {{0, 0, -1}, {-1, 0, 0}, {0, 1, 0}},
 FaceGridsStyle -> Directive[Thick, Black, Dotted],
 PlotRangePadding -> None,
 AxesStyle -> Thick]

demo.bmp (1.25 MB)

3

There is a built-in plot theme:

(*First@*)Plot3D[x^2 + y^2, {x, -2, 2}, {y, -2, 2}, PlotTheme -> "Detailed"]

4072Untitled.png
4072Untitled.png1298×1068 131 KB

Uncomment the First@ if you want to remove the plot legend.