Two little cubes - and too many numbers.

The Puzzler

RAY: I didn't have to obfuscate this puzzler a whole lot, but I did make a few little changes. This came from Jonathan Cox, from across the pond. He writes:

I'm getting old and a little absent-minded, so my friends got together and bought me a stylish little desk calendar. It's a cradle for two cubes, each with one number per face.

They figured I probably had enough left in me to figure what year it was and what month it was, but the date was going to elude me. So, this little gift was going to show the date. So, for example, if it were the 21st, I'd rotate one cube until a "2" was showing, and the other would show a "1." The next day I would know to rotate one cube so, together, the two cubes would read "22."

With the two cubes, I was able to express every date. For example, if it were the 2nd of the month, it would be expressed as "02." If it were the 18th you'd put up a 1 and an 8, and so on.

Here's my question. If you were designing the cubes, what numbers would you paint on each one so you could express all the dates from "01" to "31"?

Here're a few hints: you're going to run into a problem because you're not going to have enough faces. Maybe. There are several right answers and lots of wrong answers. But all the right answers have one thing in common.

Think you know? Drop Ray a note!

[ Car Talk Puzzler ]

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