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How to add an outline around a closed 3D surface?

I would like to add a black outline (silhouette) all around a closed surface. Here's a MWE code to work with :

Manipulate[
    SphericalPlot3D[1, {theta, 0, Pi}, {phi, t, 2Pi + t},
        Mesh -> {7, 7},
        MaxRecursion -> ControlActive[2, 5],
        PlotRange -> All,
        Boxed -> False,
        Axes -> None,
        SphericalRegion -> True,
        Method -> {"RotationControl" -> "Globe"},
        ImageSize -> {500, 500}
    ],
    {{t, 0, Style["t", 10]}, 0, 2Pi, 0.01}
]

So is it possible to draw a thin line all around that sphere, to make it standing out of the white background ?

Cham
  • 4.1k
  • 22
  • 39