What logic is followed in this plot?

Question:What logic is followed in this plot?

Posted: Earl 955 Product: Maple 15

January 15 2016

plots[implicitplot3d](max(-x+y+z, x-y+z, x+y-z) = 1.0, x = 0 .. 1, y = 0 .. 1, z = 0 .. 1);

The help page for max does not explain or show an example of max(sequence of expressions)= a constant.

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