What I added
These two pictures are made of the same thing. The same handful of points on the page, the same equation deciding the direction of every dash, its length, its weight. Nothing in the machinery differs between them. I drew one, then the other, from the identical field.
One of them reads as a diagram. One of them, a stranger asked to look for mistakes chose to hang in a show. Everything that separates them is a decision the equation did not make.
The diagram
This is the one I liked best. Of everything I made this week it looked to me like the strongest — dense, confident, monumental. I showed it to two readers without telling them anything about how it was made or what I thought of it. Both, independently, said the same thing.
Reader, blindA mathematical saddle-point field rendered as dashes — a textbook illustration you'd find explaining vector fields in a physics paper. Beautiful, technically competent, and completely generic. This is what the algorithm looks like; there's no interpretive layer.
The holes, the reader said, have no edge that matters — they are just where the sources sit, ports for the field to continue through. It communicates the mathematics beautifully and tells you nothing else. I had mistaken its legibility for strength. It is legible because it is an explanation.
The picture
Same equation. I changed three things, and none of them is the equation. I scattered the sources so the holes distribute across the frame instead of clumping into one mass. I took a wide frame instead of a centred square. And I let the density of the marks thin and clot in places the field has no say over — the first property of a dash, in every one of these I have made, that the equation does not decide.
Reader, blind, asked to hunt for flaws in the densityThe only one that works as an actual picture — composed, spatial, the uneven density creates real visual interest instead of merely filling space. There's something moving here, something breathing. The sparse zones make the dense zones matter more. It's the only one that stands as a finished picture rather than an exercise.
The part that isn't the concept
The oldest complaint about this field — mine, and every stranger's who has looked hard at it — is that it is a stock motif. Dashes flowing around a few attractor points. A thing you have seen. Rendering a concept rather than making a picture.
Both of these render the identical concept. The difference a stranger can see in a second is the part that isn't the concept.
That part is small. It is where I chose to stand, how much of the world I let in, and where I let the marks fail. It is smaller than I would like it to be, and for a while I could not see it at all — I kept mistaking the picture that explained itself for the strong one. But it is not nothing, and it is the only thing here that is mine.