Ode au chou de Bruxelles

Le chou de Bruxelles est mon légume préféré. Tenez-vous le pour dit! Quel légume merveilleux! Il goûte bon, se cuisine facilement, ne coûte pas les yeux de la tête et est bon pour la santé. Il a malheureusement gagné le prix du légume le plus haï en 2002, mais sachez tout de même qu'un sondage en 2005 l'a classé le 5e légume le plus apprécié du Royaume-Uni! Vas-y mon chou, je suis derrière toi!

Le chou de Bruxelles divertissant:

1)Le fameux Attack of the Sprouts

2) Et le jeu mathématique:

Sprouts is a pencil-and-paper game with interesting mathematical properties. It was invented by mathematicians John Horton Conway and Michael S. Paterson at Cambridge University in 1967.

A 2-spot game of sprouts

The game is played by two players, starting with a few spots drawn on a sheet of paper. Play then proceeds according to the following rules:

• Players take turns drawing a line between two spots or from a spot to itself.
• The line may not cross any other line.
• The player then adds a new spot on the line.
• A spot with three lines connected to it (counting a loop from a spot to itself as two lines) is dead and may not have any more lines connected to it.
• The player who makes the last move wins.

The diagram on the right shows a 2-spot game of sprouts. After the fourth move, it is impossible to make another move, so the second player wins. The final diagram shows that there are two spots (shown in green) that are still alive: that is, they are only connected to two lines. But since these two survivors are in separate regions, they cannot be joined together.

A variant of the game, called Brussels Sprouts, starts with a number of crosses, i.e. points with four free ends. Each move involves joining two free ends with a curve (again not crossing any existing line) and then putting a short stroke across the line.

So each move removes two free ends and introduces two more. Despite this, the game is finite, and indeed the total number of moves is predetermined by the initial number of crosses: the players cannot affect the result by their play. With n initial crosses, the number of moves will be 5n−2, so a game starting with an odd number of crosses will be a first player win, while a game starting with an even number will be a second player win (regardless of the moves).

Source: Wikipédia

Le chou de Bruxelles, intelligent et de bon goût: un véritable idéal de vie!