Bar legend for a different function in mathematica

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  • Thread starter Thread starter djymndl07
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SUMMARY

The discussion focuses on adding a bar legend for the function g[t] in a Mathematica ParametricPlot. The user defines two functions, f[t] and g[t], and utilizes the ColorFunction option to apply a color gradient based on the values of g[t]. The solution involves incorporating the BarLegend function directly into the ParametricPlot command to visually represent the color mapping associated with g[t]. This approach enhances the interpretability of the plot by linking colors to specific values of g[t].

PREREQUISITES
  • Familiarity with Mathematica programming language
  • Understanding of ParametricPlot function in Mathematica
  • Knowledge of ColorFunction and ColorData in Mathematica
  • Basic concepts of function definition in Mathematica
NEXT STEPS
  • Explore advanced features of ColorFunction in Mathematica
  • Learn how to customize legends using BarLegend in Mathematica
  • Investigate the use of Rescale function for data normalization in Mathematica
  • Study the implications of color mapping in data visualization
USEFUL FOR

Mathematica users, data scientists, and anyone interested in enhancing data visualizations with color gradients and legends.

djymndl07
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How Can I add bar Legend for g[t] in the following code in mathematica?
Thanks in advance?

f[t_] := t + 1
g[t_] := t^3 + 3*t + 12
ParametricPlot[{f[t]*Cos[\[Theta]], f[t]*Sin[\[Theta]]}, {t, 0, 1}, {\[Theta], 0, 2*Pi},
ColorFunction -> Function[{x, y, t}, ColorData["SolarColors"][Rescale[g[t], {g[0], g[1]}, {0, 1}]]]]
 
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Add
Code: 
PlotLegends -> BarLegend[{"SolarColors", {0, 1}}]
to the ParametricPlot.
 

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