Color sudoku fridge

For a while now, I’ve been thinking about making some kind of reconfigurable medium scale color sudoku. There are a number of possibilities: Post-its, construction paper and sticky spray, flannel boards, velcro, pegboard, etc. And refrigerator magnets. It turns out that craft stores sell sheets of magnet with a peel-and-stick adhesive on one side, making it possible to turn just about any small object into a refrigerator magnet. I found some 2-millimeter foam sheets in a variety of colors, cut them into 2-inch squares, and attached magnets. The resulting sudoku is about 18 inches on a side.
Ideally, the magnetized objects should be rigid, like ceramic tiles or plastic squares. The foam had the advantage of coming in 9 different colors, no painting required. Cardstock was another option, but I thought the foam would be less likely to be damaged by water. It’s an experiment.
