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Published at 655 × 560 in A tale of $n$ cities
On the left, a diagram with cities [1,4] and [2,3] joined; on the right, two possible swaps: [1,2] and [3,4], or [1,3] and [2,4]

Two kinds of swap—a given pen pal pair between cities 1 and 4, and another between cities 2 and 3, can be reconfigured in two different ways

Clare (like gare) is a Chalkdust editor. In her spare time, she’s an assistant professor at Durham University. She likes Skittles, probability, and making the magazine look more like Cosmo.
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