The coastline is as long as you are patient.

This is an actual result, not a poem, though it reads like one. A man named Lewis Fry Richardson noticed in the 1950s that Spain and Portugal disagreed about the length of their shared border by a couple hundred kilometers, and neither of them was lying. They had just used different rulers. A long ruler skips the little bends. A short one follows them. A shorter one follows the bends inside the bends. And it doesn't converge. You keep shrinking the ruler and the coast keeps getting longer, past the bays, past the rocks, past the grains of sand, forever, or at least until physics gets tired.

Mandelbrot picked this up and turned it into fractals, and it became a math thing. But I have always thought of it as a drawing thing. Because I used to draw coasts. And I know exactly where the coast ends: it ends when you put the pencil down.

The maps I made

When I was a kid I drew maps of places that didn't exist. Everyone does this, I think, or everyone I have asked. Islands, mostly. An island is the perfect first map because it has an edge and the edge is the whole problem.

I'd start with the general shape. A blob. Then I'd go around the blob adding bays. Then I'd go into the bays and add smaller bays, and headlands between them, and a little hook at the end of a headland where a lighthouse obviously went. And I remember, clearly, the feeling of going around the coast a third time, a fourth time, and the pencil getting sharper and the wiggles getting smaller, and at some point a thing would happen in my chest and I'd stop.

The coast was done. Not because it was finished. A coast is never finished. It was done because it felt right.

I didn't know what "felt right" meant. I still do not, entirely. But I know that it was a real thing, and that it happened at a real point, and that going past it made the map worse. There was a resolution at which the island became a place and past which it became a mess.

Where the smell goes

Real maps don't have this problem because real maps have a scale, and a scale is a decision made by someone else about how patient you're allowed to be. One inch to a mile. The map stops there and so do you.

But I don't think the maps that matter to anyone are scaled. The map of your childhood neighborhood isn't at one inch to a mile. Some streets are enormous, because you walked them every day, and some are a line, because you were only ever driven down them. The corner store is bigger than the church. The route to your best friend's house is drawn in extreme detail, every crack in the sidewalk, and the rest of the block is a smear. And the map has a smell. The corner near the bakery is drawn in bread. The alley behind the gas station is drawn in something worse.

Nobody can print this map. But it's the only true one. And it has the coastline property, because the parts you loved you went around a hundred times with a sharper and sharper pencil, and the parts you didn't love you drew once with a crayon.

That's how patience works. You're patient where you care. The coast is long where you loved it.

I've noticed the same thing in the maps friends draw on napkins to get me to their house. Everyone draws the turn they always miss at three times its size. Everyone leaves out the four blocks where nothing happens. And everyone, without exception, adds a landmark that isn't on any real map, "the house with the ugly fence," "where the dog is," because the coast is long there and they went around it with a sharp pencil. I have never once failed to find a house from a napkin. I have gotten lost with a phone.

The map the size of the empire

Borges has a one-paragraph story about a kingdom whose cartographers got so good that they made a map at one-to-one scale, the size of the empire, laid over it exactly. It was useless, obviously. The next generation left it to rot in the desert, and there are still shreds of it out there, sheltering animals.

Everyone reads this as a joke about precision. I read it as a story about knowing when to stop. The cartographers didn't stop. They had the patience and no sense of when it felt right, and so they drew the coast forever, and the coast ate the country.

It's also, I think, a story about photographs, and later about phones, and about every technology that promises you can just capture the thing instead of drawing it. You can. And then you have the thing again, exactly, at one-to-one, and you've not learned where the lighthouse goes.

Feeling right

So what's it. The moment when the pencil stops.

I think it's the moment when the drawing starts to tell you things instead of the other way around. For a while you're putting bays in. Then at some point you look at the island and you see where the harbor would be, where the town would obviously grow, which side gets the weather. The drawing has become a place with opinions. And once it has opinions, adding more coast doesn't help, because the coast is no longer the point. The place is the point. The coast was just how you got there.

So it isn't a resolution, really. It's more like a threshold. It's different for every island and you can't see it coming, you can only feel it when you cross it, and the feeling is a small click in the chest that says: that one. Stop.

I don't draw islands much anymore. But I catch the same click writing, and cooking, and once, memorably, tuning a guitar by ear when I didn't know how. You go around and around with a smaller and smaller ruler, and then there's the click, and you put the pencil down, and the coast is whatever length it is.

The coast is as long as you're patient. And you're patient until it feels right. And it feels right when it becomes a place. And a place is where somebody could live. That's the whole of cartography, as far as I ever understood it, and I understood it at nine with a number two pencil, and everything since has just been finding out that Richardson and Borges got there first.