The spiral of Cornu appears in the study of diffraction in optics:
The curve is parametrically defined by the Fresnel cosine and sine integrals:
\[ \left[ ~ \int_0^x \cos \left( \frac{\pi}{2} t^2 \right) dt ~ , \int_0^x \sin \left( \frac{\pi}{2} t^2 \right) dt \right] ~ \]This example requires the higher-level mathematics of Math.
Complete code for this example: