Yes, you can definitely solve a Rubik's Cube without memorizing algorithms (formulas).
Here's a breakdown:
- The core idea: The Rubik's Cube can be solved without relying on specific, memorized sequences of moves. According to the provided reference, Erno Rubik himself initially solved the cube without any pre-existing algorithms.
- Commutators as a tool: The reference points out that commutators are useful in this approach.
How to Solve Without Formulas
Solving the Rubik's Cube without formulas involves understanding the underlying mechanics and principles of the cube. This generally means:
- Understanding the Pieces: Knowing the different types of pieces (corner, edge, center) and their movement constraints.
- Intuitive Solving: Figuring out how individual moves affect different pieces and how to manipulate them into the desired positions.
- Logical Deduction: Planning your moves and understanding how they will affect the overall state of the cube.
- Commutators: Commutators are sequences of moves that manipulate specific parts of the cube while leaving the rest mostly unchanged. By understanding how to create and use commutators, you can strategically solve the cube layer by layer.
Example of a Simplified Approach
While not a complete solving method, here's a simplified concept:
- Solve the first layer intuitively.
- Focus on placing edge pieces in the middle layer by understanding how to move them from the top layer without disturbing the first layer.
- Solve the last layer using logical deductions and possibly learning a few simple commutators for orienting and permuting the pieces.
