The Quaternion Cube is a rather easy-to-solve puzzle that I designed to visually demonstrate the Quaternion Group Q₈.
Print it yourself: https://chandler.io/posts/2025/01/print-it-yourself-quaternion-cube/
0:00 - Introduction
0:36 - Construction
1:18 - Theory
Image attribution:
SL(2,3) Cayley Graph - T. Piesk (Wikimedia Commons CC 3.0)
https://commons.wikimedia.org/wiki/File:SL(2,3);_Cycle_graph.svg
Q8 Cycle Graph - CMG Lee (Wikimedia Commons CC 4.0)
https://commons.wikimedia.org/wiki/File:Cayley_Q8_quaternion_multiplication_graph.svg