The Fibonacci Sequence

The Fibonacci sequence is the series of numbers beginning 0,1,1,2,3,5,8,13,21…and so on. The next number in the sequence is found by adding the previous two together e.g. the five was made from adding the two and three together. The sequence is named after Fibonacci, real name Leonardo Pisano Bogollo, who lived between 1170 and 1250 in Italy. However, it is said the sequence was known hundreds of years before in India. He was also known for  helping spread Hindu-Arabic numbers through Europe which replaced Roman numerals.

The sequence can be transformed into a spiral when squares are made with the widths of the numbers in the sequence.

It also relates to the Golden Ratio. The ratio between any two successive Fibonacci numbers is 1.6. This ratio is often used in architecture to design attractive buildings as 1.6 is the most aesthetically pleasing ratio. It is also frequently found in nature and art. During a Discovering Mathematics input we were learning about the golden ratios significance in art. We looked at Mondrian artwork. We were asked to first of all draw a free hand picture in the style of Mondrian. Then, we were asked to draw another one but this time draw it using the golden ratio of 1.6. As you can see from my art below, the ratio makes a massive difference in terms of which one is more pleasing to the eye.

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