Abstract
The golden number or divine proportion was defined by Euclid. It is sometimes claimed that it was used in classical architecture, but it is not mentioned by Vitruvius, so this seems unlikely. The illustrations for Luca Pacioli’s book The Divine Proportion were drawn by Leonardo. The golden number is related to the structure of polyhedra with five-fold symmetry. Chapter 13 considers some of the properties of the regular and semi-regular or Archimedean polyhedra, and also considers the suggestion that the pupil in the famous painting of Luca Pacioli is a young Albrecht Dürer.
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