From Todd Ebert comes an incredibly satisfying, seemingly innocent variation of the classic hat puzzle that will have you delving into the world of hypercubes and Hamming codes!
Disclaimer: Due to the amount of \(\LaTeX\) required, combined with the limitations of WordPress’s native MathJax environment, I’ve written this post using Overleaf and simply embedded the resulting pdf below. This limits the article’s reactivity, so it would be best to use desktop if possible, as it likely won’t resize well on mobile!
EbertsHatGame