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This works in principle, but it is slow with high point counts:

s=implicit_plot3d(F, (x,-r,r), (y,-r,r), (z,-r,r), plot_points=15, color=mycolor, frame=False)
s.triangulate()
point3d(s.vertex_list())

This works in principle, but it is slow with high point counts:

s=implicit_plot3d(F, (x,-r,r), (y,-r,r), (z,-r,r), plot_points=15, color=mycolor, frame=False)
plot_points=15)
s.triangulate()
point3d(s.vertex_list())

This works in principle, but displaying it (each point as a circle!) is slow with high point counts:

s=implicit_plot3d(F, (x,-r,r), (y,-r,r), (z,-r,r), plot_points=15)
s.triangulate()
point3d(s.vertex_list())