Higham’s Parametric Curve

Screen Shot 2017-06-10 at 11.02.26 AM.png

Fig. 1

The parametric curve (see Fig. 1) has always intrigued me. It was to my delight to finally find its equations from “MATLAB guide” written by the Highams:

x = \int\limits_{0}^{t} \sin {\omega^2}\; d\omega

y = \int\limits_{0}^{t} \cos {\omega^2}\; d\omega

Below is the curve plotted by Omega CAS Explorer:

Screen Shot 2017-06-10 at 12.43.19 PM.png

Fig. 2

After several failed trials, I realized that ‘nticks’ must be provided in ‘plot2d’ in order to produced the image correctly.

Next, I tried ‘draw2d’ function (see Fig. 3), but the tics and numbers are too close to the image of the curve.

Screen Shot 2017-06-10 at 12.36.10 PM.png

Fig. 3

To better position the image,  I specified ‘xrange’ and ‘yrange’ to put more space between the image and the tics and numbers. Cropping the resulting image to obtain the Fig. 1 at the top of this post.

Screen Shot 2017-06-10 at 12.39.31 PM

Fig. 4

I would like to ask all the maxima Jedis out there,

Without specify ‘xrange’ and ‘yrange’, is there an option that I can set to turn off the tics and numbers ?

Thank you in advance for your answer.

 

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