Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/294
Title: On the magic square of Gaudí
Authors: Pacheco Castelao, José Miguel 
Fernández de la Nuez, Isabel 
UNESCO Clasification: 12 Matemáticas
120706 Teoría de juegos
Keywords: Group
Group action
Magic square
Torus
Acción de un Grupo, et al
Issue Date: 2003
Journal: Revista de la Academia Canaria de Ciencias 
Abstract: The authors present from a heuristic viewpoint an elementary study of the unusual magic square (GMS) found in the outstanding Gaudí's Sagrada Familia Temple in Barcelona. Its magic sum is 33 and it features on rows, columnns, diagonals and 2/2 broken diagonals, and on many 2 x 2 subsquases, such as the central one or the one formed by the entries at the four corners. Elementary Group Theory is introduced as a natural tool in the study of the magic square in order to analyse how these magic-sum preserving structures wander on the torus (Z/4) x (Z/4), the geometric counterpart of the plane square.
En este trabajo se presenta un estudio heurístico elemental acerca del cuadrado mágico que se halla en una de las fechadas del Templo de la Sagrada Familia de Barcelona. Se introducen nociones de teoría de grupos y de su acción sobre la contrapartida geométrica del cuadrado, el toro (Z/4) x (Z/4).
URI: http://hdl.handle.net/10553/294
ISSN: 1130-4723
Source: Revista de la Academia Canaria de Ciencias [ISSN 1130-4723], v. 15 (1-2), p. 147-153
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