The Coastline That Wouldn't End

The string was blue and it was two hundred meters long, and Maya had just lost an argument with it.

"I measured the beach at four hundred and twelve meters," she said. She was standing on the wet part where the sand went dark and cold around her ankles. "You measured it at four hundred and ninety. Same beach."

Soren looked at his own string, which he had laid down more carefully, following the little bays and the elbows of rock instead of cutting straight across them the way Maya had. The string was heavy with seawater. It smelled like salt and old shells.

"I went around the rocks," he said. "You went past them."

"So do it my way and we'll match."

"We can't just pick the number we like."

The tide was out. The whole shore lay open, shining, all its edges showing. Their teacher, Ms. Okafor, was up by the parking lot with the cleanup bags and a clipboard, waving at them to hurry, the wind pulling her voice into thin pieces before it reached them.

Maya crouched down. There was a barnacle the size of a thumbnail near her foot, and its edge was not a smooth curve. It was a tiny coastline of its own, all little bays and elbows, exactly like the big one but small.

She put her finger next to it.

"Soren. Come look at this bit."

He crouched beside her. The cold came up through his knees. Between two barnacles there was a crack in the rock filled with water, and the crack had smaller cracks coming off it, and those had smaller ones, threads of water going down into the dark where a single grain of sand would look like a boulder.

"Your string skips over all of this," Maya said. "So does mine. Mine skips more."

"That's why yours is shorter."

"Right, but." She pressed her lips together. Her finger traced along the wet edge of one barnacle bay, in and out, in and out, following every wrinkle. "What if you used a shorter string? Like, tiny. And you went around every single one of these little bumps."

Soren picked up a piece of dried seaweed, brittle and curled. He laid it along the crack, bending it into every small turn he could reach. Where his big string had drawn a straight line, the seaweed had to travel three times as far to touch all the edges.

"It gets longer," he said slowly. "The smaller you measure, the longer it gets."

"Do it smaller than that."

He looked at the grains of sand caught in the crack. Each grain had an edge too. Each grain was a coast around a coast around a coast.

The wind came in off the water. Neither of them moved.

"How small can you go," Maya said. It didn't come out like a question. It came out like she'd found the edge of something and stepped off it.

Soren reached into his jacket and there was the scratch of pencil on damp paper, the page cockling under the lead. He drew one big bay. Then, along its edge, he drew smaller bays. Then, along those, smaller ones, until the pencil couldn't make them any tinier and his hand had gone still.

"It doesn't stop," he said. "There's no smallest bay. There's always a smaller one, so there's always more edge to go around. If you never stop measuring smaller, the string never stops getting longer."

"So how long is the beach."

He looked up at her. His ears were red from the cold.

"There isn't a number," he said. "It's not four hundred and twelve. It's not four hundred and ninety. If you keep going smaller it just keeps going up. Forever."

Maya laughed, one short surprised sound that the wind took away. She stood up and looked at the whole shore, the four hundred meters or the four thousand or the four million, the same shape wrinkled into itself all the way down past where her eyes could follow.

"The beach is infinitely long," she said. "And it fits between the parking lot and that rock."

"Both of those are true at the same time."

"How can both of those be true at the same time."

Soren didn't answer, because there wasn't an answer that made it stop being strange. He'd tested it. Big string, seaweed, the space between two grains of sand. Every time you looked closer the edge did the same thing it did far away. It never got tired of being itself.

Up at the lot, Ms. Okafor cupped her hands and called down that she needed one number for the map, just one, whatever they got, the bags were waiting.

Maya cupped her hands back.

"There isn't one!"

"Just measure it!"

"We did! That's the problem!"

Ms. Okafor shook her head and went back to her clipboard, and that was fine, because she was thinking about bags and they were thinking about something that didn't have a bottom.

Maya crouched again. She wanted to see it once more, the way a barnacle held a whole shoreline inside its own rim, the way the crack held cracks, the way you could fall into the edge of this ordinary cold beach and never land.

"It's inside everything," she said quietly. "Your lungs do it. All those little branches splitting into littler branches. That's the same thing. You've got an infinite thing folded up inside your chest."

Soren breathed in. He felt it go down into all those branches he couldn't feel, splitting and splitting, an enormous crumpled coastline he carried around without noticing.

The tide had turned. Water was sliding back up the sand, reaching into the barnacle bays and the cracks and the spaces between the grains, filling every edge at once, every size of edge, all the way down.

Maya put her two hundred meters of blue string down on the sand and let the sea come take the end of it.