The Golden Section or Golden Ratio is apparently a mathematical equation whereby the 1 complete length is able to be divided by the long part which is also divisible by the short part …. and this is where my mind went completely blank due to maths not being my strongest point!!
From a design point of view this Section or Ratio is considered the most aesthetically pleasing methodology and was used in Ancient Greece to design such buildings as the Parthenon and it is believed it may go as far back as Ancient Egypt. The Golden Section is closely related and similar to the Fibonacci sequence of – 1 + 1 = 2 + 1 = 3 + 2 = 5 + 3 = 8 which results in the spirals found in nature and which can be seen in my image to the left. The higher the sequence of Fibonacci numbers goes the closer it is to the Golden ratio i.e. the ratio of 13 to 21 as I discovered is 1.666 and if you go even higher the ratio is ever closer to the exact Golden Ratio of 1.618 (and known as Phi which is the 21st letter of the Greek alphabet). The Golden Section is the large square with sides which are equal in length to the the smallest side of the rectangle which when added to the square makes up a larger rectangle (add the rectangle with the smaller squares of 5, 3, 2, 1 and 1 in the above image to the large square to make up the large rectangle …. I note this for as much my understanding as the reader!). The numbers of the Fibonacci sequence are applied to the rectangle which then becomes known as the Golden Rectangle and is the Golden Ratio in geometric form with another form being the Golden Spiral.
I have come across the Golden Rectangle and Golden Ratio in my art history studies and research reminds me of a book written in 1509 by Luca Pacioli makes reference to ‘Divine proportion’ which Leonardo Da Vinci later renamed the Golden Section or sectio aurea.
In modern design this ratio can be found in music, art and many designs due to the aesthetic results produced which are naturally produced in nature in the form of flowers, trees, shells, pinecones, hurricanes and animal bodies including our own just as examples. With regards to our own bodies apparently the measurement of the top of our head to our navel and the navel to the floor makes up the Golden Ratio – an interesting point to note if I ever develop my life drawing (but in all honesty at this moment this is highly unlikely!!).
To summarise the Golden Section or Ratio is effectively what we consider to be the ideals of beauty – it is the most aesthetically pleasing design concept that produces the most harmonious result. To finish, what was meant to be a short paragraph, I note the work of Caryl Bryer Fallert-Gentry with her series of quilts based on the Fibonacci sequence in a variety of formats: http://www.bryerpatch.com/gallery/fibonacci_quilts.htm. I am a lover of Ms Fallert-Gentry’s quilts due to their use of colour but love how she has used this sequence to influence a series of abstract quilts with each having to be mathematically worked out in order the designs to have the balance and harmony and also the dynamism that the Fibonacci sequence results in.
Caryl Bryer Fallert-Gentry. 1997-2016. Fibonacci Sequence Quilts [online]. [Date accessed: July 2017]. Available from: http://www.bryerpatch.com/gallery/fibonacci_quilts.htm
Future Publishing Limited. (date unknown). The designer’s guide to the Golden Ratio [online]. [Date accessed: July 2017]. Available from: http://www.creativebloq.com/design/designers-guide-golden-ratio-12121546
Hom, E.J. [24 June 2013]. What is the Golden Ratio? [online]. [Date accessed: July 2017]. Available from: https://www.livescience.com/37704-phi-golden-ratio.html
MathsIsFun. 2015. Golden Ratio [online]. [Date accessed: July 2017]. Available from: https://www.mathsisfun.com/numbers/golden-ratio.html