This list covers variations of a certain kind of tile based game called Scramble Squares (in German: “Legespiel”) in which square cards must be placed to form a larger square so that the images of all cards fit together at the edges. It shows the number of solutions and what they look like exactly. All solutions were calculated with the software Legespiel-Solver. The results also make it possible to estimate how difficult the respective Scramble Squares puzzle really is.
I recently stumbled upon a type of game that is not uncommon here in Germany. It is called a Scramble Squares puzzle (in German “Legespiel”). One of the most popular ones is called Knifflidiffels by Diddl. Similar pictures have to be put together. The different versions involving the cute mouse are not only very suitable for beginners, but also introduce another interesting aspect: duplicate cards.
I recently stumbled upon a game that is not uncommon here in Germany. It is called Scramble Squares (in German “Legespiel”). The specific type of tile-based game, this post will be about, has quadratic cards with pictures on them. These pictures must be arranged to a square in such a way that the pictures on each card fit together with the pictures of the cards around it. I will show how complex this problem is and also present an algorithm to solve it.