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MeshStyle.

Thickness/AbsoluteThickness and Colors are used, Dashing and suchlike are ignored.
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MeshStyle is an option forPlot3D,DensityPlot and related functions which specifies how mesh lines should be rendered. In[1]:= ms = SurfaceGraphics[Table[Sin[x]*Exp[y], {x, -Pi, Pi, Pi/4.}, {y, -E, E, E/4.}], MeshStyle -> {Thickness[0.01], RGBColor[1., 0., 0.], Dashing[{0.02, 0.02}]}];
Show[ms]

In[2]:= JavaView[ms]

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