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plotting - ColorFunction with unexpected output



Here is a simple example of a rotational symmetric plot


ParametricPlot [{x, y }, {x, -1, 1}, {y, -1, 1}, 
RegionFunction -> Function[{x, y}, x^2 + y^2 < 1], Mesh -> 5, 
MeshFunctions -> (Sqrt[#1^2 + #2^2 ] &), 
ColorFunction -> (Hue[  Sqrt[#1^2 + #2^2 ]  ] &), AxesLabel -> {x, y }]

enter image description here


I took the same function as meshfunction and colorfunction expecting rotational symmetrical mesh and coloring.



Any idea why the coloring isn't symmetric?


Thanks!



Answer



ColorFunctionScaling -> False

enter image description here


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