As well as looking at patterns using imagery i have looked at the Fibonacci number sequence and how it relates to the golden ratio. In the Fibonacci sequence the first number of the sequence is 0, the second number is 1, and each subsequent number is equal to the sum of the previous two numbers of the sequence itself, yielding the sequence 0, 1, 1, 2, 3, 5, 8, etc.
The Golden ratio is a way of laying out composition and ordering things in art, design and nature. In mathematics and the arts, two quantities are in the golden ratio if the ratio between the sum of those quantities and the larger one is the same as the ratio between the larger one and the smaller. Many books produced between 1550 and 1770 show the proportions of the golden section exactly, to within half a millimetre.
Zeising wrote in 1854:
"The Golden Ratio is a universal law in which is contained the ground-principle of all formative striving for beauty and completeness in the realms of both nature and art, and which permeates, as a paramount spiritual ideal, all structures, forms and proportions, whether cosmic or individual, organic or inorganic, acoustic or optical; which finds its fullest realization, however, in the human form."
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