So, recently i found a book called "Gödel, Escher, Bach: An Eternal Golden Braid" written by Douglas Hofstadter. Inside it, i read a very interesting puzzle that i decided to share with you.

The puzzle itsself is simple:

There is a system called the MIU-system. It utilises only 3 letters of the alphabet: M, I, and U.
This means that the only strings of this system are strings composed of these 3 letters.
For example:
String #1: MU
String #2: UIMI
et cetera, to strings of any length and letter combination.

Even though these are...
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