Welcome to MacMahon Squares
A beautifully challenging colour-matching puzzle invented by the mathematician Percy Alexander MacMahon in 1921. Arrange all 24 tiles on a 6×4 grid so that adjacent edges share the same colour — with no mismatches!
Imagine the logical deduction of Sudoku meets the spatial reasoning of a Rubik's Cube — that's MacMahon Squares. A one-of-a-kind puzzle unlike anything else in the world.
🧩 What are MacMahon Squares?
MacMahon Squares are a set of 24 unique square tiles, each divided into four triangles by its diagonals. Each triangle is filled with one of 3 colours, creating every possible unique combination.
The puzzle was devised by Major Percy Alexander MacMahon, a British mathematician known for his work in combinatorics. He discovered that these 24 tiles can be arranged into a 6×4 rectangular grid such that all touching edges between adjacent tiles have matching colours.
What makes this puzzle worldwide unique is its extraordinary blend of two beloved puzzle styles. Like Sudoku, it demands rigorous logical deduction. Like a Rubik's Cube, it challenges your spatial reasoning as you rotate tiles through four orientations (0°, 90°, 180°, 270°).
The 6×4 MacMahon Grid
The Logic of Sudoku
Every tile placement constrains the possibilities for its neighbours. Use deduction, elimination, and strategy to narrow down valid positions.
A Unique Fusion
MacMahon Squares is a worldwide unique puzzle that seamlessly combines two beloved puzzle paradigms into one extraordinary challenge.
The Spatial Feel of Rubik's Cube
Rotate each tile through 4 orientations. Just like a Rubik's Cube, solving one area can disrupt another — think holistically.
📖 How to Play
Understand the Tiles
Each of the 24 tiles is a square divided into 4 triangles. Each triangle is filled with one of 3 colours. Every tile has a unique combination.
Place & Rotate
Place tiles onto the 6×4 grid. Each can be rotated in 4 orientations (0°, 90°, 180°, 270°) — like twisting a Rubik's Cube face.
Match All Edges
Every pair of adjacent tiles must have matching colours on their shared edge. Complete the grid with no mismatches to win!
📋 Rules at a Glance
- ✅ All 24 tiles must be placed — each used exactly once
- ✅ Tiles may be rotated but not flipped
- ✅ Adjacent edges must be the same colour
- ⭐ Bonus: Make all border edges the same single colour!
🔐 Create an Account to Track Your Progress
Register for a free account to save your puzzle progress, track your best times, and compete on the leaderboard.
Ready to Take on the Challenge?
If you love Sudoku and you've conquered the Rubik's Cube, this is your next obsession.
Each puzzle is randomly generated — no two games are the same!