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The mathematics behind the game of Dobble. (Czech) Zbl 1524.05028

The author describes the connection between the popular card game Dobble and combinatorial structures. He shows that the existence of perfect decks of cards is related to the existence of finite projective planes and systems of orthogonal Latin squares. Next, using the more general block diagrams structure, he discusses the possibilities of creating decks of cards for games with modified rules. The interpretation, examples, and appendices are adapted so that the reader can create his own card systems relatively easily.

MSC:

05B05 Combinatorial aspects of block designs
05B07 Triple systems
05B15 Orthogonal arrays, Latin squares, Room squares
05B25 Combinatorial aspects of finite geometries
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