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- W2279492512 abstract "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. Introduction The Golden Section is perhaps the most commonly cited proportion both in art and architecture. I believe that there are many more proportions that have just as interesting properties and that the Golden Section is just the tip of the iceberg, albeit a special one. In describing other proportions and proportional systems, I hope that eyes can be opened and possibilities explored for their use, as well as preparing the way for exploration of their existence. It is well known that the Golden Section is found everywhere because it is sought after and, in many cases, found by careful selection of data to fit aspirations rather than fact. There are a multitude of exciting possibilities for other systems of proportions which may have been used in the past but, because no one has looked for them, their use is not known. Non-mathematicians find ways around constructions that are not theoretically possible with ruler and compasses and, with the advent of computers, more is possible. Because there is so much to explore, some proportions will only be introduced rather than explored in depth. There is enough to fill a book rather than these few pages." @default.
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- W2279492512 date "2000-01-01" @default.
- W2279492512 modified "2023-09-23" @default.
- W2279492512 title "Beyond the Golden Section - the Golden tip of the iceberg" @default.
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