Mathematica Asked on January 1, 2021
Start with the list of the cube-roots of unity:
cubeRoots = ComplexExpand[Exp[(2 [Pi] Range[0, 2] I)/3]]
I want to use ComplexListPlot
to plot these three points and label each of them with its value.
Noting the the first example in the documentation for the "LabelingFunction" option to ComplexListPlot
, namely…
ComplexListPlot[{1, E^((2 I [Pi])/7), E^((4 I [Pi])/7), E^((
6 I [Pi])/7), E^((8 I [Pi])/7), E^((10 I [Pi])/7), E^((
12 I [Pi])/7)} -> {0, 1, 2, 3, 4, 5, 6}]
…I tried the following;
ComplexListPlot[cubeRoots -> cubeRoots,
PlotStyle -> Directive[Red, PointSize[Large]],
Ticks -> None, PlotRange -> 1.5,BaseStyle -> {11},
ImageSize -> Scaled[0.5]]
That fails, with error: "ComplexListPlot called with 0 arguments; 1 argument is expected."
Wrapping the first instance of cubeRoots
with Evaluate
works, however:
ComplexListPlot[Evaluate[cubeRoots] -> cubeRoots,
PlotStyle -> Directive[Red, PointSize[Large]],
Ticks -> None, PlotRange -> 1.5, BaseStyle -> {11},
ImageSize -> Scaled[0.5]]
Question: Why is the Evaluate
needed to wrap around the left-hand side of the Rule that constitutes, in effect, the argument to ComplexListPlot
?
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