Represent Plot Scale with an offset

Question

I want to know how to represent the axis on my 3dplot with a scaled offset. Please see the image below, I just want to show in the plot as {X-Axis*0.1} and {Y-Axis*0.1} ...

Answer 1

You can use ScallingTransform

e.g. the following code will scale x axis from {1,10} -> {0.1,1} by a factor 0.1

g = Plot3D[Sin[x] Sin[y], {x, 1, 10}, {y, 1, 10}]
Show[Graphics3D[GeometricTransformation[g[[1]], ScalingTransform[{0.1, 1, 1}]]], Axes -> True, BoxRatios -> {1, 1, 0.5}]

Answer 2

You can try to just change the label itself? by using your own ticks function.

compare:

Plot3D[Sin[x y], {x, 0, 4}, {y, 0, 4}, Mesh -> None]

with

ticks[min_, max_] := 
  Table[ { i, Style[0.1*i, 12], {.04, 0}},  {i, Ceiling[min], Floor[max]}];

Plot3D[Sin[x y], {x, 0, 4}, {y, 0, 4}, Ticks -> ticks, Mesh -> None]

see http://reference.wolfram.com/mathematica/ref/Ticks.html for more information