Scientific paper ID 2490 : 2024/3

The challenge in solving combination puzzles like the Rubik”s Cube and Hungarian Rings lies in figuring out the correct sequence of moves to achieve a specific goal. These puzzles start in a state where the elements (such as colored stickers or rings) are complex and seemingly random. The goal is to rearrange them into a specific pattern or configuration. The puzzle is solved by manipulating the elements through various moves. For example, they are turning different layers of the Rubik”s Cube or repositioning rings in the Hungarian Rings. Each move has a specific effect on the puzzle”s configuration. Solvers often go through trial and error, trying different sequences of moves to see their effects. The solution involves a combination of spatial reasoning, pattern recognition, and strategic thinking. Advanced solvers often use algorithm-specific sequences of moves designed to achieve a particular result. These algorithms are developed through experience and analysis of the puzzle”s mechanics. Efficient solving involves reaching the solution and doing so with the fewest possible moves. Speedcubers, for instance, aim to solve the Rubik”s Cube in the shortest time using optimized algorithms. To memorize algorithms, solvers may employ logical deduction to analyze the puzzle”s state and make informed decisions about the next moves. This research investigates general-purpose formulas for a puzzle called Fish Rings.