If you were to start White on the inner cube and Black on the outer cube...
I actually have it the other way around, with White on the "outer" cube (Face 1) and Black on the "inner" cube (Face 24),
I know. That's why I used the subjunctive mood to express a counterfactual within the antecedent of a conditional.
While these diagrams provide some help, they don't address the arbitrariness of just numbering the faces sequentially. With the system I propose, it is immediately obvious which neighbors of a face border on the same edge. For example, 12 and 22 share the same border with 11, as do 13 and 33, 14 and 44, and 15 and 55. Knowing that the numbers 1-6 are arranged like on a die, other relations can also be known without consulting a diagram. For example, 12 is adjacent to 13 and 14 but not to 15. However, it is purely arbitrary, using your iterative system, that 2 and 7 share a border with 1 or that 7 is adjacent to 8 and 9 but not to 10. When something is purely arbitrary, it must be committed to memory and is easier to forget.
I know. That's why I used the subjunctive mood to express a counterfactual within the antecedent of a conditional.
While these diagrams provide some help, they don't address the arbitrariness of just numbering the faces sequentially. With the system I propose, it is immediately obvious which neighbors of a face border on the same edge. For example, 12 and 22 share the same border with 11, as do 13 and 33, 14 and 44, and 15 and 55. Knowing that the numbers 1-6 are arranged like on a die, other relations can also be known without consulting a diagram. For example, 12 is adjacent to 13 and 14 but not to 15. However, it is purely arbitrary, using your iterative system, that 2 and 7 share a border with 1 or that 7 is adjacent to 8 and 9 but not to 10. When something is purely arbitrary, it must be committed to memory and is easier to forget.