Abstract
La Cripta de la Colonia Güell (1898-1914) diseñada por el arquitecto Antoni Gaudí, es un bien de interés cultural y patrimonio histórico de España. Según algunos historiadores y arquitectos, las primeras bóvedas de la historia de la arquitectura con forma de paraboloide hiperbólico se encuentran en el techo del pórtico de acceso a la cripta. El presente estudio pretende comprobar la anterior afirmación con un método geométrico objetivo. Con este proceso determinamos: 1) Cuáles son los 19 paraboloides hiperbólicos que mejor se ajustan a las superficies generadas por los 19 fragmentos de bóvedas que conforman el pórtico; 2) Ofrecemos una medida objetiva de tal ajuste y, 3) Presentamos una clasificación de tales paraboloides mediante sus parámetros geométricos.
Highlights
This purpose of this paper is to check if those claims are true.The Colònia Güell was a purpose-built industrial district in Santa Coloma de Cervelló (Barcelona)
When talking about the architectural composition and morphology of the entrance porch, it is claimed that all of its 19 vaults were designed in the shape of hyperbolic paraboloids – in this regard, readers may turn to the following bibliographic references: (1, 2, 3, 6, 7, 8, 9, 10, 11)
13 of these surfaces are decorated with coloured ceramic crosses which, according to (1), follow the straight directrices of these hyperbolic paraboloids (Figures 3-4)
Summary
This purpose of this paper is to check if those claims are true. The Colònia Güell was a purpose-built industrial district in Santa Coloma de Cervelló (Barcelona). In order to achieve our results, we use a mathematically objective method to find the 19 hyperbolic paraboloids which best fit the surfaces of the 19 vaults forming the entrance porch to the crypt of Colònia Güell (Figures 2 and 3), and we provide an objective measurement of that fit. This method does not involve mechanical, constructive or structural processes; it only involves standard geometric processes, numerical processes, computing, statistics and 3D data acquisition. We have used photogrammetrical techniques and 3D modelling with commercial software PhotoScan and MeshLab
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