Mathematics Weblog

4D Rubik’s Cube

Who remembers Rubik’s cube? Rubik Unbound has an online version. Found that easy to solve? Then try the much harder 4-dimensional version at Magic Cube 4D Applet ❗

Magic Cube 4D says the normal version has 43 252 0032 274 489 856 000 unique positions whereas the 4D version has 1 756 772 880 709 135 843 168 526 079 081 025 059 614 484 630 149 557 651 477 156 021 733 236 798 970 168 550 600 274 887 650 082 354 207 129 600 000 000 000 000 unique positions, more than the number of atoms in the universe.