Never Ending Calendar Puzzle - vintage style

Eco-friendly, endless, and fashionable, this handmade wooden calendar comes equipped with an attractive wooden base and 4 cubes that rest in the structure. Two of the cubes represent numbers for the date, one displays the month, and the last cube displays the day of the week. Users can develop a peaceful ritual each day by reordering the blocks to reflect the current date. Not only is the Endless Calendar a functional item, it also serves as a modern, intriguing piece of home decor for your desk, mantle, kitchen counter, or anywhere else you could think of.

Side Note: If you’re interested in an extra twist, a puzzle about the two-cube calendar was described in Martin Gardner's column in Scientific American. Two visible faces of one cube have digits 1 and 2 on them, and three visible faces of another cube have digits 3, 4, 5 on them. The cubes are arranged so that their front faces indicate the 25th day of the current month. Each day from 01-31 can be indicated by the two cubes so that their front faces give the required date. Each face can have a unique digit from 0 through 9. What are the four digits that cannot be seen on the left cube and the three that cannot be seen on the right cube? The tough part of this puzzle is choosing a combination that allows you to still form every date on a calendar.