# Clothoid (using Fresnel Integrals) [closed]

A clothoid is represented by

## The Problem

Given the following functions, use Mathematica's Fresnel Integrals to plot the curve.

## My Attempt

ParametricPlot3D[{R (X[t_] := FresnelC[t],
Y[t_] := FresnelS[t])}, {t, -3, 3}, PlotRange -> All, AxesLabel -> {x, y, z}]


What am I doing wrong here?

## closed as off-topic by m_goldberg, Jens, user9660, MarcoB, Yves KlettJun 5 '16 at 17:03

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• "This question arises due to a simple mistake such as a trivial syntax error, incorrect capitalization, spelling mistake, or other typographical error and is unlikely to help any future visitors, or else it is easily found in the documentation." – m_goldberg, Jens, Community, MarcoB, Yves Klett
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• Try ParametricPlot[{FresnelC[t], FresnelS[t]}, {t, -3, 3}, PlotRange -> All, AxesLabel -> {x, y}] instead. – Rahul Jun 4 '16 at 21:32
• This is related. – J. M. will be back soon Jun 4 '16 at 21:32
• I was SOOO close!! Thanks Rahul! – alfredo Jun 4 '16 at 22:56

ParametricPlot[{FresnelC[t], FresnelS[t]}, {t, -3, 3}, AxesLabel -> {x, y}]

2. Trying to define functions with SetDelayed inside a plot's first argument. Using Set would have worked, but making such definitions is entirely unnecessary.
3. Giving the unnecessary option PlotRange -> All
• "Giving the unnecessary option PlotRange -> All" - it's not always unnecessary; in this case, we were lucky that the automatic PlotRange does not cut off Euler's spiral. – J. M. will be back soon Jun 5 '16 at 2:53