
Once we have understood, or ‘interpreted’, the nature of the shapes that make up classical architecture, we can measure them - to learn of the specific relationships between the individual parts and the whole. And many have, from Vitruvius, through Leonardo, Palladio, et al.


Illustration from Palladio’s Four books on Architecture
Through this process of measuring and comparing, we discover that there really is a very sophisticated set of relationships, of proportions, which govern the language of classical architecture. And this is where it gets interesting. Because we discover that one of the fundamental ratios used in classical art and architecture is that of the Golden Section (golden ratio). It can be found throughout the buildings, from the proportions of the plan of a room, to the shape of windows, distances between columns etc. etc.


The golden section is a line segment sectioned into two according to the golden ratio. The total length a + b is to the longer segment a as a is to the shorter segment b. See more about this at http://www.mlahanas.de/Greeks/GoldenSection.htm http://en.wikipedia.org/wiki/Golden_ratio
It turns out that the Golden Section is a very special ratio. It can be defined easily graphically, but not so easily mathematically as a whole number. It has an infinite set of results – small and big (the Fibonacci series is one expression of golden ratio proportions), and this means it can be used to generate relationships between things of entirely different scales: from the size of a sculpted icanthus leaf to the size of a city for example, or to put it another way: from the human to the urban.

Leonardo’s Vitruvian Man
And this is where Architects and Artists can get waylayed. Because all of a sudden, we believe we can almost see it – a system of measurement, of understanding, that encompasses everything – Art that consumes Science!






