Belyi functions for Archimedean solids
نویسندگان
چکیده
Without doubt the authentic type of these gures exists in the mind of God the Creator and shares His eternity. Abstract The notion of a Belyi function is a main technical tool which relates the combinatorics of maps (i.e., graphs embedded into surfaces) with Galois theory, algebraic number theory, and the theory of Riemann surfaces. In this paper we compute Belyi functions for a class of semi-regular maps which correspond to the so-called Archimedean solids. RRsumm La notion de fonction de Belyi est un outil technique qui relie la combinatoire des cartes (c'est-dire, des graphes plonggs sur des surfaces) avec la thhorie de Galois, la thhorie des nombres alggbriques et la thhorie des surfaces de Riemann. Dans cet article nous calculons les fonctions de Belyi pour une classe des cartes semi-reguliires, correspondant ce qu'on appelle les solides d'Archimmde.
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ورودعنوان ژورنال:
- Discrete Mathematics
دوره 217 شماره
صفحات -
تاریخ انتشار 2000