GoKawiilPuzzle theorist proves Flat Cube requires at least 27 moves to solve worst-case scrambles
A mathematician analyzing a flattened variant of the Rubik's Cube—dubbed the 'Flat Cube,' made of rhombus-shaped pieces that twist in hexagonal clusters—has proven a lower bound for its version of God's Number. Using two geometric proof techniques, one adding a dimension and one removing one, the author demonstrates that at least 27 twists are required to solve the puzzle's most difficult scrambles, regardless of whether moves are counted in 60-degree increments or as single rotations of any angle.
GoKawiil's interpretation of the reporting above, not reported fact.
God's Number is a benchmark puzzle theorists use to measure the true complexity of combinatorial puzzles, and pinning down bounds for new variants like the Flat Cube extends decades of mathematical work that produced exact values for the classic Rubik's Cube. Establishing a lower bound is a meaningful step toward eventually finding the puzzle's exact God's Number, contributing to broader research in group theory and combinatorial optimization.
- The 'Flat Cube' is a puzzle made of rhombus pieces that twist in groups of three around hexagonal centers.
- The author proves God's Number for the Flat Cube is at least 27 moves, using two distinct geometric arguments.
- This mirrors known results for the standard Rubik's Cube, where God's Number is 20 or 26 depending on how 180-degree twists are counted.
Rubik's Speed Cube 3x3 — Since the Flat Cube is a playful twist on the classic, it's the perfect excuse to grab the real thing and twist away. A speed-tuned 3x3 turns smoothly for fast solves and is a great companion while you puzzle over God's number.
See Rubik's Speed Cube 3x3 on Amazon → Affiliate link — we may earn a commission on purchases, at no extra cost to you. Product picked by AI based on this article; it is not a tested recommendation.Source: mathenchant.wordpress.com, 2026-08-31
Published there as: “Solving the Flat Cube”
Read the original report → The summary and analysis above are GoKawiil's own, written from reporting by the source above. Facts and quotes belong to the original publisher.