-9
$\begingroup$

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.

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

$\endgroup$
  • 1
    $\begingroup$ I think you should provide all the needed details. $\endgroup$ – b.gates.you.know.what Apr 3 '14 at 8:31
  • $\begingroup$ @b.gatessucks It's quite simple my dear. Thank you I will edit. $\endgroup$ – Thierno M. Sow Apr 3 '14 at 8:34
  • 9
    $\begingroup$ If it is quite simple - just do it :D $\endgroup$ – Sektor Apr 3 '14 at 9:14
33
$\begingroup$
body[t_] = Integrate[#[u^2], {u, 0, t}] & /@ {Cos, Sin}

enter image description here

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

enter image description here

$\endgroup$
  • $\begingroup$ You did. Thx my dear... $\endgroup$ – Thierno M. Sow Apr 3 '14 at 14:48
  • 8
    $\begingroup$ I hope folks will help you get Reversal badge :) $\endgroup$ – Kuba Apr 3 '14 at 18:26

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.