You are given two white cubes. You are asked to draw a digit (from 0..9) on every square of these cubes, such that you will be able to represent evert day in a month using these cubes in certain position. For example, “13” would require that a face on one cube will contain “1” and another face on the other cube will contain “3”.

Have 0,1,2,3,4,5 on cube 1

Have 0,1,2,6,7,8 on cube 2

(6 doubles as 9 upside down)

I think that works?

Yes, that’s correct (this was an easy one, isn’t it? ðŸ™‚

I was thinking that it would be easier to just represent the month as base-6, giving 35 possibilities. I guess that violates the puzzle criteria? You didn’t say it had to be base 10…

I just assumed, since you didn’t say otherwise, that single-digit days would only require one cube. In that case you don’t need to do any upside-down tricks:

0, 1, 2, 4, 5, 6

1, 2, 3, 7, 8, 9