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Erschienen in:
2012 | OriginalPaper | Buchkapitel
Geometry and Art from the Cordovan Proportion
verfasst von : Antonia Redondo Buitrago, Encarnación Reyes Iglesias
Erschienen in: Mathematics and Modern Art
Verlag: Springer Berlin Heidelberg
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Abstract
The Cordovan proportion, c = (2-√2)–1/2, is the ratio between the radius of the regular octagon and its side length. This proportion was introduced by R. de la Hoz in 1973. Recently, the authors have found geometric properties linked with that proportion, related with a family of shapes named by them, Cordovan polygons. These results are summarized and are extended through the works of art of Hashim Cabrera and Luis Calvo, two Cordovan painters who have consciously considered the Cordovan proportion in their recent compositions. In fact, we have checked this ratio in several dissections of the canvases of Cabrera, and looking at the picture of Calvo, we have recognized many of our Cordovan polygons and some new polygons which we have added to our previous collection. We have also discovered some new cordovan dissections of a square, a √2 rectangle and a Silver rectangle.