The cube is built from 27 individual cubelets arranged in a 3x3x3 grid, each carrying its own sticker colors. A scramble applies a random sequence of quarter-turn face rotations, and the solve phase simply replays that same sequence in reverse with inverted turns, proving every scramble can be undone. This back-and-forth demonstrates group theory in action: each face turn is a permutation of cubelets, and the puzzle is really about composing and inverting those permutations.