[mrkgnao]

> an interesting napping technique

Here's Henri Poincaré on how how he discovered Fuchsian functions[1]:

For fifteen days I strove to prove that there could not be any functions like those I have since called Fuchsian functions. I was then very ignorant; every day I seated myself at my work table, stayed an hour or two, tried a great number of combinations and reached no results. One evening, contrary to my custom, I drank black coffee and could not sleep. Ideas rose in crowds; I felt them collide until pairs interlocked, so to speak, making a stable combination. By the next morning I had established the existence of a class of Fuchsian functions, those which come from the hypergeometric series; I had only to write out the results, which took but a few hours.

[1]: https://en.wikipedia.org/wiki/Automorphic_form#Poincar.C3.A9...