Solving Big Cubes by Logic
4. Solution strategy
The strategy outlined in this guide is based on the idea of the Frey and Singmaster method for solving the 3x3x3 cube, as previously presented in the guide "Understanding and Solving the Rubik's Cube Without Algorithms".
The primary objective is to create "free space" whenever possible to minimize the need for commutators. Instead, we prioritize the simpler sequence of movements involving "go, swap, and back." The strategy does have slight variations for odd and even cubes, which will be explained in due course. The general scheme is as follows:
a. Solve all the centers on one face, which will constitute the first layer.
b. Solve the edges of three sides of this first layer, leaving one side "free." Note: For even cubes, it is recommended to solve two adjacent corners of the first layer to serve as guides.
c. With the first layer facing downwards, solve the centers of the three side faces using the "free layers."
d. Solve the centers of the last two faces using commutators.
e. Solve the remaining edges of the first layer, utilizing the "free space."
f. Solve three corners of the first layer, leaving one corner "free." Note: For even cubes, there will be only one additional corner to be solved.
g. Solve three sides of the middle layers, taking advantage of the "free space."
h. If it is an odd cube, solve all the remaining center edges.
i. Solve all five remaining corners using commutators.
j. Solve the remaining edges using commutators.
k. If necessary, address any remaining parity errors.
By adhering to this systematic approach, the solution strategy aims to offer a simple and straightforward method that is easy to remember.