Recursive subdivision of the Golden Rectangle by means of the Golden Ratio -phi- [Subdivision récursive du Rectangle d'Or à l'aide du Nombre d'Or -phi-].




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On the left-hand side picture, the two rectangles (the big blue and the small red) are similar, hence: 

                     phi        1
                    ----- = ---------
                      1      phi - 1

                       2
                    phi  = phi + 1

The positive root is the Golden Ratio (phi = (1+sqrt(5))/2 = 1,6180339887498949...).


[More information about related non periodical Penrose tilings -in english/en anglais-]
[Plus d'informations à propos des pavages non périodiques de Penrose associés -en français/in french-]


(CMAP28 WWW site: this page was created on 12/12/2017 and last updated on 08/22/2020 11:16:16 -CEST-)



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