Discover how the Rubik's Cube demonstrates group theory through 17 interactive visualizations.
Learn the four fundamental properties that make Rubik's Cube a mathematical group
Discover how the Rubik's Cube group behaves: order, commutativity, and simplification
Master commutators and conjugates - the building blocks of speedcubing algorithms
Explore subgroups, patterns, cycles, and the massive size of the cube group
Dive deep into normal subgroups, cosets, quotient groups, and Cayley graphs
Free exploration - experiment with your own cube states and share discoveries
Challenge yourself with questions on all group theory concepts you've learned
Need to solve a scrambled Rubik's Cube? Try our instant solver that works offline.
Open Cube Solver