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I have tried to reproduce a simple object (namely the intersection of 3 cylinders), which is a useful example for 3D printing, as follows:

sage: x, y, z = var('x,y,z')
sage: cm = colormaps.Blues
sage: cf = (x + y + z + 8) / 16
sage: f = max_symbolic(x*x + y*y, x*x + z*z, y*y + z*z) - 1
sage: N = 60
sage: implicit_plot3d(f,(x,-1.1,1.1),(y,-1.1,1.1),(z,-1.1,1.1),color=(cf,cm),plot_points=N)

This works, and is not too bad, but there is a strange effect along the crests where the cylinders intersects. Probably due to our marching cube algorithm.

This may be hard, but does anybody have an idea how to do something better ?

I have tried to reproduce a simple object (namely the intersection of 3 cylinders), which is a useful example for 3D printing, as follows:

sage: x, y, z = var('x,y,z')
sage: cm = colormaps.Blues
sage: cf = (x + y + z + 8) / 16
sage: f = max_symbolic(x*x + y*y, x*x + z*z, y*y + z*z) - 1
sage: N = 60
sage: implicit_plot3d(f,(x,-1.1,1.1),(y,-1.1,1.1),(z,-1.1,1.1),color=(cf,cm),plot_points=N)

This works, and is not too bad, but there is a strange effect along the crests where the cylinders intersects. Probably due to our marching cube algorithm.

This may be hard, but does anybody have an idea how to do something better ?