Solving Big Cubes by Logic
4.e. Solving the remaining edges of the first layer
To solve the remaining edges in the first layer, as well as the side edges, we will employ the same technique of utilizing "free spaces" as seen in the solution for the 3x3x3 cube. Please refer to the diagram in Figure 4.11 for a visual representation of the process. The upper layer (depicted in dark pink) will be utilized for the "swaps," while the "free edge" (depicted in light pink) will be employed for the "back and forth" movements. For a more comprehensive understanding of this approach, you can click the play button (▷) to view an animation of the technique.
To solve the vacant edge in the first layer, we utilize the adjacent side of the "free column." Once resolved, simply rotate the F layer by 90° to position the edge in its correct place. The utilization of the "free column" follows the same method as demonstrated for the 3x3x3 cube. Refer to Figure 4.12 for an example where the green/white edge needs to be placed in the location indicated by the light pink edge. Take note of the application of the "free column" and the "swap layer" as previously illustrated.
App source: animcubejs.cubing.net/animcubejs.html