Generalising the Configurations of an N × N × N Rubik’s Cube

Have you ever wondered how the configuration space of the classic 3×3×3 Rubik’s Cube scales when extended to an N×N×N cube?
In his article “Generalising the Configurations of an N × N × N Rubik’s Cube”, Naren Ramesh explores exactly this question.

Ernő Rubik invented the original 3×3×3 cube in 1974, and in 1981 Peter Sebestény introduced the 4×4×4 version known as the Rubik’s Revenge. Since the age of nine, Naren has been fascinated by twisty puzzles and the sport of speedcubing. Through this article, he deepens his mathematical understanding of higher-order cubes and explains how their combinatorial complexity expands with size.

👉 Read the full article (PDF):
https://www.parabola.unsw.edu.au/sites/default/files/2025-01/vol59_no3_3.pdf

Whether you’re a speed-cubing enthusiast, a maths lover, or simply curious about how twisty puzzles behave in higher dimensions, this piece offers a captivating exploration into the world of N×N×N cube configurations.

Enjoy the read — and if you find it interesting, share it with your fellow cubers! 🧩