The 4×4×4 Rubik's Revenge — a step beyond the classic, introducing parity errors and entirely new solving challenges that even experienced cubers must master.
The 4×4×4 cube was invented in 1981 by Péter Sebestény. Originally marketed as "Rubik's Revenge" (implying it was the cube "taking revenge" on those who mastered the 3×3), it represented the next evolution in twisty puzzles. Unlike the 3×3, the 4×4 has no fixed center pieces, making it fundamentally different in how it must be approached and solved.
The 4×4 consists of 56 visible pieces: 8 corners, 24 edge pieces (in 12 pairs), and 24 center pieces (in 6 groups of 4). Unlike the 3×3 where each face has one fixed center, the 4×4 has four movable centers per face — meaning solvers must first figure out which colors belong where before reducing it to a 3×3-like solve.
The 4×4 is infamous for introducing parity errors — situations that are impossible on a standard 3×3. These occur because multiple internal pieces can appear identical, leading to states where a single edge or pair of edges appear swapped in a way that seems unsolvable with normal 3×3 algorithms. Solvers must learn special parity algorithms (like the OLL parity and PLL parity) to handle these cases. Parity is often the biggest hurdle for cubers transitioning from the 3×3 to the 4×4.
The 4×4 has an astronomical 7.40 × 10⁴⁵ possible permutations — that's roughly 7.4 septillion times more than the 3×3! The most popular solving method is the Yau Method, which involves solving two opposite centers, then three cross edges, then the remaining centers, edges, and finally the 3×3 stage. As of 2025, the current world record for a single solve is 16.79 seconds, achieved by Max Park from the USA, demonstrating mastery of both speed and the complex reduction process.