qqwref
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Perhaps the answer is what is known as "multi-reduction". The way this works is that we 'reduce' the cube to a smaller NxNxN cube as many times as possible, and the maximum number of times we can do this determines how big this is.
A 2x2 or 3x3 can only be reduced once, to a 1x1x1. So they're small.
A 4x4 or 5x5 can be reduced twice (4-2-1 or 4-3-1, 5-3-1). So they're medium.
A 6x6 or 7x7 can be reduced three times (6-5-3-1 or 6-4-3-1 or 6-4-2-1, 7-5-3-1). So they're large.
Perhaps we can call 8x8 or 9x9 an XL cube, and 10x10 or 11x11 an XXL cube, and so on... then 20x20 becomes 7XL
By the way, give multi-reduction a try on 7x7 or whatever. It's fun.
A 2x2 or 3x3 can only be reduced once, to a 1x1x1. So they're small.
A 4x4 or 5x5 can be reduced twice (4-2-1 or 4-3-1, 5-3-1). So they're medium.
A 6x6 or 7x7 can be reduced three times (6-5-3-1 or 6-4-3-1 or 6-4-2-1, 7-5-3-1). So they're large.
Perhaps we can call 8x8 or 9x9 an XL cube, and 10x10 or 11x11 an XXL cube, and so on... then 20x20 becomes 7XL
By the way, give multi-reduction a try on 7x7 or whatever. It's fun.
