The theorem of Klarner
Can I store all my suitcases in the trunk of my car? How many similar cookies can I bake from the existing rolled out dough? How is a container ship optimally loaded? All these are so-called packing problems. This exhibit is also about such a problem:
A playing field of 100 squares (10 by 10) is to be laid out with tiles of size 1 by 4. Can this succeed?