There's a very good book by Hinz, Klávžar, Milutinović and Petr, called "Towers of Hanoi - Myths and Maths".
It collects all sorts of theorems and perspectives on the puzzle, and plenty of variants.
Published by Springer: springer.com/gb/book/978303480

One variant that's easy to describe but hard to play is Twin Towers: get two sets, and each move consists of nominating two towers and making the valid move between them on both sets simultaneously.
Investigated by Zoran Šunić: read.somethingorotherwhatever.

Sign in to participate in the conversation
Mathstodon

A Mastodon instance for maths people. The kind of people who make \(\pi z^2 \times a\) jokes.

Use \( and \) for inline LaTeX, and \[ and \] for display mode.