Hundreds of vectors joined head-to-tail, each rotating at a constant rate, unknowingly drawing the symbol of chaos in a surprisingly orderly fashion. Explanation: The Fourier Series.

\[ f(t) = \sum^\infty_{n=-\infty} c_ne^{\frac{2n\pi}{T} it} \]
\[ c_0 = \frac{1}{T} \int^T_0 f(t) dt \]
\[ c_n = \frac{1}{T} \int^T_0 f(t) * e^{-\frac{2n\pi}{L} t} dt \]