ACKNOWLEDGMENTS

Hayato Kato and Masato Inoue for translating lines from Yamamoto Tsunetomo’s Hagakure Kikigaki. Without these, writing this book would have been much harder. Also my thanks for their help in coming up with a suitable Japanese term for “floating rope world.” (All of the suggestions were excellent, but the final one caught exactly the right combination of history and artistic subversion.)

Timothy Gowers, Rouse Ball Professor of Mathematics at Cambridge. I stole his four-dice analogy from a brief interview he gave to New Scientist.

Everyone at the Akasaka Prince Hotel, the Akasaka Tokyu, and the Hilton Hotel, Shinjuku. All of whom let me use them as office space and clog up their bars and lounges with my papers, laptops, and general mess.

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