A unique spell on the tube

As I was watching an episode of Only Connect the other day, I learned an (almost) interesting fact about London tube stations:

St. John’s Wood is the only tube station not to share any letters with the word mackerel

Someone, for some reason, some time.

This was such a delightfully pointless fact, that my curiosity was instantly piqued. Why this station? That word? Is it unique, or unusual for this to happen? Let’s, dear reader, find out for ourselves.

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Stochastic geometry and the London underground

Way back when I was analysing London house price data for the Summer Data Challenge, I made a histogram of the distances from a random point in London to the nearest tube station. I noted that it peaked around half a kilometre, but ignored the shape of the distribution itself. This is an unfortunate faux pas for the accomplished procrastinator, so let’s right that wrong with the help of some stochastic geometry.

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