Math of Pasta

Buccoli

Parametric Equations

$\begin{aligned} u =& 1, \ldots, 200 \\[3ex] v =& 0, \ldots, 25 \\[3ex] \hline \\ x =& \left [ 0.7 + 0.2\sin \left(\frac{21u}{250} \pi \right) \right]\cos \left(\frac{u}{20} \pi \right) \\[3ex] y =& \left [ 0.7 + 0.2\sin \left(\frac{21u}{250} \pi \right) \right]\sin \left(\frac{-u}{20} \pi \right) \\[3ex] z =& \frac{39u}{1000} + 1.5\sin \left(\frac{v}{50} \pi \right) \end{aligned}$