# Plot The Cornu Parametric Spiral

How do I plot the Cornu parametric spiral in 3D with Mathematica. The 2D is quite easy. For more details, you need to be familiar with the Cornu statement.

$$\begin{cases} x(t)=\int_{0}^{t}\cos(u^{2})du&\\ y(t)=\int_{0}^{t}\sin(u^{2})du& \end{cases}$$

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I think you should provide all the needed details. – b.gatessucks Apr 3 '14 at 8:31
@b.gatessucks It's quite simple my dear. Thank you I will edit. – Thierno M. Sow Apr 3 '14 at 8:34
If it is quite simple - just do it :D – Sektor Apr 3 '14 at 9:14

body[t_] = Integrate[#[u^2], {u, 0, t}] & /@ {Cos, Sin}


ParametricPlot3D[body[t]~Join~{t}, {t, -2 Pi, 2 Pi},
BoxRatios -> 1, SphericalRegion -> True]


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You did. Thx my dear... – Thierno M. Sow Apr 3 '14 at 14:48
I hope folks will help you get Reversal bagde :) – Kuba Apr 3 '14 at 18:26