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Thicker plot in implicit_plot3d

I'm graphing a surface in implicit_plot3d and then cutting away part of it to show another surface. Is there a way to "thicken" the plot, so that the edge is still visible in places where we are looking at it straight-on?

Thicker plot in implicit_plot3d

I'm graphing a surface in implicit_plot3d and then cutting away part of it to show reveal another surface. surface that was hidden behind it. Is there a way to "thicken" the plot, plotted surface, so that the edge is still visible in places where we are looking at it straight-on?

Thicker plot in implicit_plot3d

I'm graphing a surface in implicit_plot3d and then cutting away part of it to reveal another surface that was hidden behind it. Is there a way to "thicken" the plotted surface, so that the edge is still visible in places where we are looking at it straight-on?

For a simple example, how can I graph the part of $x^2+y^2+z^2 = 1$ with $z \leq 1/2$, while making the sphere a bit thicker than the default?