Side-tracked from a slightly related problem, I derived this general set of attributes:
{8, 12n, 6n^2, n^2, n}.
The first 5 situations of this generalisation are:
[8, 0, 0, 0, 0],
[8, 12, 6, 1, 1],
[8, 24, 24, 4, 2],
[8, 36, 54, 9, 3],
[8, 48, 96, 16, 4].
What does this set of attributes describe?
(Attributes #1 & #4 may provide clues. Also, take note of the Title.)
(In reply to
re(2): A Painted Cube by Brian Smith)
Before I came here this morning, I realised the error of my ways. I posted the 4th attribute as n^2 whan it should have been n^3 thus the 4th attributes should have been 0, 1, 8, 27 and 64 instead of 0, 1, 4, 9, 16.
I am intrigued by the internal 'view' of the shell of the cube. This solution actually identifies the n^3 attribute as all of internal cubes.
Apologies for my error.