: Computers use several sophisticated methods to solve the puzzle, such as Kociemba’s algorithm and Korf’s algorithm , which utilize brute-force and heuristic searches [27].
The Rubik's Cube is a practical application of , specifically permutation groups [6, 19]. Each move represents a mathematical operation, making it a rich resource for scholars studying abstract algebra [6]. rubik's cube
What started as a solitary hobby has transformed into a high-stakes competitive sport known as [17]. : Computers use several sophisticated methods to solve
: Beyond geometry, the cube’s structure is used metaphorically in fields as diverse as engineering ethics [2, 21] and biodiversity conservation to model multidimensional challenges [29]. specifically permutation groups [6