Activity: Talks and presentations › Talks and presentations in private or public companies
The board game HEX was invented independently by the Danish designer and poet Piet Hein and the American mathematician John Forbes Nash (who won the Nobel prize in economics in 1994). There has in recent years been detailed studies related to the history and theory of the game in particular by Thomas Maarup at the University of Southern Denmark and by Ryan Hayward and Jack van Rijswijck at the University of Alberta in Canada. In this lecture I shall focus on HEX's relations to the history of graph theory and combinatorics , the interesting theoretical properties of the game, some unsolved problems relating to HEX, but also on the general achievements of Piet Hein. A new simple proof of the fact that not both players can lose in a game of HEX will be presented. The statement that this fact is equivalent to Brouwer's Fix Point Theorem will be discussed.