Hackenbush: Mathematical game, Line segment, Finite set, Combinatorial game theory, Sprague–Grundy theorem, On Numbers and Games, Winning Ways for ... Plays, Dyadic rational, Ordinal number - Brossura

Brossura

ISBN 10: 6130639651 ISBN 13: 9786130639655

Casa editrice: Alphascript Publishing, 2010

Riassunto

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online.Hackenbush is a two-player mathematical game which may be played on any configuration of colored line segments connected to one another by their endpoints and to the ground. More precisely, there is a ground (conventionally, but not necessarily, a horizontal line at the bottom of the paper or other playing area) and several line segments such that each line segment is connected to the ground, either directly at an endpoint, or indirectly, via a chain of other segments connected by endpoints. Any number of segments may meet at a point and thus there may be multiple paths to ground. On his turn, a player cuts" (erases) a line segment of his choice (from those which he is allowed to select — see below). Every line segment which is no longer connected to the ground by any path "falls" (also gets erased). According to the normal play convention of combinatorial game theory, the first player who is unable to move (because either all segments have been erased, or all those that remain belong to his opponent) loses. Hackenbush boards can consist of finitely many (in the case of a "finite board") or infinitely many (in the case of an "infinite board") line segments. "

Dettagli dell'edizione

• Editore: Alphascript Publishing
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 6130639651
• ISBN 13: 9786130639655
• Rilegatura: Copertina flessibile
• Numero di pagine: 80
• Redattore: Miller Frederic P., Vandome Agnes F., McBrewster John
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile