Beyond the Golden Section - the Golden tip of the iceberg

John Sharp
Bridges: Mathematical Connections in Art, Music, and Science (2000)
Pages 87–98


The Golden Section is considered by my as the pinnacle of perfect proportion. There are many other proportions which have unusual, interesting or equally valid properties which do not seem to have been studied. They do not appear to have been used, but this may be because they have not been documented or because no-one has deemed to look, or because they cannot be constructed using ruler and compasses. This paper is an attempt to look at more than the tip of the iceberg in terms of proportion.