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Assign RGB values to points on implicit_plot3d graph

Is there a way to assign an explicit RGB color to each point satisfying an equation of the form f(x,y,z)=c? For instance, I would like it if the command


colored the standard 2-simplex in R^3 according to the associated RGB values, but it doesn't. I'm aware that one can use colormaps and functions R^3 -> R to color the output of implicit_plot3d but I would like to use a function R^3 -> [0,1]^3 to do the coloring.