gcluer wrote:The ratio is about 1:1.61803398875. That is close enough to 1:1.5 (or 2:3) which the Rule of Thirds gives us.
I think Rule of Thirds works because it is an approximation to the Golden Ratio but I would love to do some tests to see which is more pleasing.
Thanks, Graham, that is a useful summary of some of the things which I said during my talk. For me, precise application of the Rule of Thirds and other divisions which I demonstrated is not especially critical. The main function of such devices is to encourage placement of principle elements away from the centre of the image which usually creates a far more dynamic result.
Regarding the earlier comment about the relationship between the Golden Ratio and the Fibonacci sequence, I am not sure that is what Leonardo Fibonacci set out to achieve, although the two are very close once 3+5=8 is reached. I suspect it is more of a coincidence than anything more significant, although that is an interesting philosophical question. The mathematical proof of the Golden Ratio was first set out by the Greek mathematician Euclid in "Elements", the book which he published in 323 BC. It is inconceivable that 1,500 years later Fibonacci would have been aware of the Golden Ratio and quite possibly Euclid's work as well. Even by Euclid's time, it is something which mankind had known about for a very long while ever since the earliest civilisations.
Thanks to Tina and Mike for their positive feedback on my presentation. I am currently writing a new lecture, which I will be giving at the club in February 2019, and it is my intention to expand on what I said this time around.