Solving a 2D Parametric Plot of Logarithmic Spiral

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SUMMARY

The discussion focuses on creating a 2D parametric plot of a logarithmic spiral using the equations x=k^u Cosine(u) and y=k^u Sine(u). The user initially encountered issues with their implementation in Mathematica, specifically with incorrect bracket placement in the ParametricPlot function. The value of k determines the growth rate of the spiral. Ultimately, the user resolved their issue by correcting the syntax in their code.

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  • Understanding of parametric equations
  • Familiarity with logarithmic spirals
  • Basic knowledge of Mathematica syntax
  • Experience with plotting functions in mathematical software
NEXT STEPS
  • Explore the properties of logarithmic spirals in mathematics
  • Learn advanced plotting techniques in Mathematica
  • Investigate the impact of varying the constant k on spiral shapes
  • Study the use of ParametricPlot for complex functions in Mathematica
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Mathematicians, data scientists, and educators interested in visualizing mathematical concepts through parametric plots and those looking to enhance their skills in Mathematica.

izzy93
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I am stuck on the following task;

Create a 2D Parametric Plot showing a spiral path. The parametric equations for a logarithmic spiral are x=k^u Cosine(u), y=k^u Sine(u), where k is a constant, and u is the plot parameter. What does the value of k determine?

I have been typing in the following but it is wrong

ParametricPlot[{(k^u)*(Cos) /. {k -> 1}}, {(k^u)*(Sin) /. {k ->
1}}, {u, 0, 6 Pi}]
Can anyone help?

much appreciated
 
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No worries peeps, I figured it out, just had some dodgy brackets about!
 

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