Kemal Inecik inecik

Kemal İnecik, written by 300 rotating circles

kemalinecik.com · scholar · bluesky · x · linkedin

The outline of each word is one closed curve $z(t)$ in the complex plane, $t \in [0, 1)$. Sample it at $n = 2048$ points and take its discrete Fourier transform:

$$c_k = \frac{1}{n} \sum_{j=0}^{n-1} z_j , e^{-2\pi i k j / n}$$

Each coefficient is a circle with radius $\lvert c_k \rvert$ and starting angle $\arg c_k$, turning $k$ times per lap. Keep the 150 largest, chain them tip to tail with the largest first, and the last tip walks the outline:

$$z(t) \approx c_0 + \sum_{k \in K} c_k , e^{2\pi i k t}$$

There are two machines, one per word, and they run on the same clock. The jumps between letters are part of the curve but are never inked. There is no JavaScript: it's SMIL animation inside a static SVG, generated by assets/fourier.py.

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