implicit_plot3d of discontinuos functions (like max(x,y,z))

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Hello, I tried to plot a discontinous function like implicit_plot3d(max(x,y,z),(x,-2,2),(y,-2,2),(z,-2,2)) but I don't get the expected result. Anyone can help me?

actually my implicit surface is so defined: f(x,y,z)=max(x,y,z)-3*min(x,y,z), f(x,y,z)==0

thanks in advance Filippo