Fibonacci

If I am honest, I was not particularly interested in learning about the Fibonacci sequence, but I tried to be open minded. We learned that it is a number sequence in which each number is the sum of the sum of the previous two numbers:

eg. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987….

To me this was interesting,  as there is a very clear logic to the numbers, and it is almost aesthetically beautiful. My own choice of wording surprises me. I like that this

 

I also was told about Fibonacci coming out a lot in art, which was very interesting to me. when researching this, the most prominent was the Fibonacci spiral. This is a spiral which moves out from the centre by the Fibonacci numbers as demonstrated below:

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After our lecture on maths in art, we were told that art containing fibonacci numbers is generally more aesthetically pleasing to us. I decided to try this out, as I  did not really see how this could be true. I tested it out for myself, I drew two pictures the same size, using the same colours. One used shapes which were based on fibonacci numbers, e.g. 3×5, or 1×8. The other used random numbers.

The Random Picture.

The Random Picture.

The Fibonacci-based Picture.

The Fibonacci-based Picture.

I then set about asking people I knew which of the two pictures they preferred. All of them said that they preferred the Fibonacci-based Picture. When asked why, none could give me a definitive answer. The best conclusion I can come up with is that the Fibonacci numbers in the picture are what makes people prefer the picture.

2 thoughts on “Fibonacci

  1. This shows your clear understanding of the Fibonacci Sequence. The post gives a simple and brief account of exactly what the Fibonacci Sequence is – which is quite hard to do from trying to do it myself and from it trying to be explained simply in the lecture, well done!
    I have to say I also prefer the Fibonacci Sequence picture, I believe there is more organisation to this one and the other one with all of the colour randomly distributed (look at that another fundamental mathematic principle) kind of hurt my head a little when I looked at it for too long as there was just so much going on where as in the Fibonacci sequence everything was grouped together nicely.

    Reply
    1. Post author

      Hi Kim, I’m very glad that you found my post clear and that you understood my art references – I find it a bit dizzying too!

      Reply

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