In the mathematics of paper folding, map folding and stamp folding are two problems of counting the number of ways that a piece of paper can be folded. In the stamp folding problem, the paper is a strip of stamps with creases between them, and the folds must lie on the creases. In the map folding problem, the paper is a map, divided by creases into rectangles, and the folds must again lie only along these creases.
Lucas (1891) credits the invention of the stamp folding problem to Émile Lemoine.[1] Touchard (1950) provides several other early references.[2]