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Say I create a plot using Show and use the option PlotRange->All, for instance

surf[u_,v_]:={(1-u*Sin[v/2])*Cos[v], (1-u*Sin[v/2])*Sin[v],u*Cos[v/2]};
partdif1[u_,v_] := (D[surf[x,y],x] /. x -> u) /. y -> v;
partdif2[u_,v_] := (D[surf[x,y],y] /. x -> u) /. y -> v;
cpdiffs[u_,v_] := (Cross[partdif1[x, y], partdif2[x, y]] /. x -> u) /. y -> v;
NV[u_, v_] := -0.8*cpdiffs[u, v]/Norm[cpdiffs[u, v]];
surfplot = ParametricPlot3D[surf[u, v], {u, -1/4, 1/4}, {v, 0, 2*Pi}, PlotStyle -> "DeepSeaColors", Mesh -> False, Axes -> False, Boxed -> False];
nvect = Graphics3D[{Black, Thickness[0.004], Arrow[{surf[0, 0], surf[0, 0] + NV[0, 0]}]}];

Show[surfplot, nvect, PlotRange -> All]

How can I extract the numerical values of the plot range? I want to use the values in a Wolframscript, so please no clicking solution.

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    $\begingroup$ AbsoluteOptions[surfplot, PlotRange] ? $\endgroup$
    – Syed
    Commented Feb 20 at 9:55

1 Answer 1

Reset to default
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sh = Show[surfplot, nvect, PlotRange -> All];

pr = AbsoluteOptions[sh, PlotRange]

{PlotRange -> {{-1.25, 1.8}, {-1.17678, 1.17678}, {-0.25, 0.25}}}

To extract the values:

Values @ First @ pr

{{-1.25, 1.00764}, {-1.17678, 1.17678}, {-0.25, 0.25}}

Show[sh, Axes -> True]

enter image description here

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  • $\begingroup$ That's great! Many thanks! Could you explicitetly give the command that gives the values only? $\endgroup$
    – 220284
    Commented Feb 20 at 10:08
  • $\begingroup$ Thanks for the accept. To get the values only: Values@First@AbsoluteOptions[sh, PlotRange] $\endgroup$
    – eldo
    Commented Feb 20 at 10:16

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