And so I decided to explore some of these in this body of work.<\/p>\n
<\/p>\n
Fibonacci Spiral\/Sequence\u00a0<\/strong><\/h4>\nThe Fibonacci sequence is made up of numbers where each figure is the sum of the previous two numbers. In spirals, it is used t construct squares through which the spiral can be drawn. The first few numbers of the sequence are: 1, 1, 2, 3, 5, 8, 13, 21, 34…<\/p>\n
The side length of each square is a number from the sequence, and gets progressively bigger. It looks something like this:<\/p>\n
![\"\"](\"http:\/\/blogs.unsw.edu.au\/clic\/files\/2019\/01\/708px-FibonacciSpiral.svg_-300x189.png\")
<\/a>Example of how Fibonacci sequence numbers are used to construct a spiral.<\/p><\/div>\n
I thought it would be interesting to reconstruct this and remove the spiral and the numbers, to highlight the pattern that is essential to creating this kind of spiral. I also wanted to present this as the spiral itself, blurring the lines between the spiral’s properties and the spiral itself. I used this website:\u00a0https:\/\/incompetech.com\/graphpaper\/lite\/\u00a0<\/strong>\u00a0 to construct squares with side lengths from the sequence, up to 34. I then put them all together to create:<\/p>\n![\"\"](\"http:\/\/blogs.unsw.edu.au\/clic\/files\/2019\/01\/Fibonacci-Spiral-1024x645.jpg\")
<\/a><\/p>\nIt was difficult to differentiate the different squares, so I decided to colour it. I found a colour wheel with at least 34 different colours, and worked from the Fibonacci sequence to colour the respective squares.<\/p>\n
![\"\"](\"http:\/\/blogs.unsw.edu.au\/clic\/files\/2019\/01\/The-Manchester-Color-Wheel-292x300.jpg\")
<\/a>Colour wheel used<\/p><\/div>\n
<\/p>\n
![\"\"](\"http:\/\/blogs.unsw.edu.au\/clic\/files\/2019\/01\/Fibonacci-Spiral-Coloured-1024x646.jpg\")
<\/a><\/p>\nI still felt like the connection between spirals and this image wasn’t as clear as it should’ve been, so I decided to add dots where the spiral line would meet the edges of the squares, to hint at a potential pattern if one were to follow the dots. This gave me the final image to be presented:<\/p>\n
![\"\"](\"http:\/\/blogs.unsw.edu.au\/clic\/files\/2019\/01\/Spiral-Coloured-1024x674.jpg\")
<\/a>Final Fibonacci Sequence Image<\/p><\/div>\n
I’ve decided to print this on A4 paper to compliment the sizes of the other objects.<\/p>\n
<\/h4>\nGolden Spiral and Golden Ratio<\/h4>\n
The golden spiral gets wider by a factor of the golden ratio<\/em> every quarter turn.<\/p>\n![\"\"](\"http:\/\/blogs.unsw.edu.au\/clic\/files\/2019\/01\/Screen-Shot-2019-01-31-at-10.18.36-PM-300x148.png\")
<\/a>Wikipedia definition of Golden Ratio.<\/p><\/div>\n
The golden ratio is given by a specific irrational number.<\/p>\n
![\"\"](\"http:\/\/blogs.unsw.edu.au\/clic\/files\/2019\/01\/Screen-Shot-2019-01-31-at-12.01.08-PM-300x222.png\")
<\/a>Took the first 21 lines of the golden ratio number. Source: https:\/\/www2.cs.arizona.edu\/icon\/oddsends\/phi.htm<\/p><\/div>\n
I simply decided to use the first 21 lines of the golden ratio number from this particular source as my next piece.<\/p>\n
![\"\"](\"http:\/\/blogs.unsw.edu.au\/clic\/files\/2019\/01\/Golden-Ratio-Number--1024x724.jpg\")
<\/a>Golden Ratio Number<\/p><\/div>\n
<\/p>\n
Golden Angle<\/h4>\n![\"\"](\"http:\/\/blogs.unsw.edu.au\/clic\/files\/2019\/01\/Screen-Shot-2019-01-31-at-10.59.50-PM-300x158.png\")
<\/a>Wikipedia definition of Golden Angle<\/p><\/div>\n
The golden angle is approximately 137.5 degrees, and is used by plants and flowers to efficiently distribute their leaves and florets for maximum exposure using the least amount of effort. I wanted to display this number, is it is important to spirals in nature, in a way that didn’t include simply displaying it. So I thought blocking in the region 0-137.5 degrees on a protractor would do that.<\/p>\n
![\"\"](\"http:\/\/blogs.unsw.edu.au\/clic\/files\/2019\/01\/51083555_232310421039847_1703977443750051840_n-300x238.jpg\")
<\/a><\/p>\n <\/p>\n
![\"\"](\"http:\/\/blogs.unsw.edu.au\/clic\/files\/2019\/01\/50830681_851007845242881_3124093102973779968_n-209x300.jpg\")
<\/a>What was presented in class.<\/p><\/div>\n
<\/p>\n
Oscillations<\/h4>\n
I associated oscillatory and repetitive movements with spirals, and so I wanted to represent this oscillatory nature. The simplest way I know to do that is through a pendulum (used heavily in physics). I reused the bob weight\u00a0 I bought, and decided to display it oscillating (swinging) to draw attention to this nature. The dynamic between the string, the weight and gravity also linked in to my interests in the balancing of forces in helical pathways, found in outer space and in atom movements.<\/p>\n
![\"\"](\"http:\/\/blogs.unsw.edu.au\/clic\/files\/2019\/01\/708px-FibonacciSpiral.svg_.png\")
<\/a>Example of how Fibonacci sequence numbers are used to construct a spiral.<\/p><\/div>\n
I thought it would be interesting to reconstruct this and remove the spiral and the numbers, to highlight the pattern that is essential to creating this kind of spiral. I also wanted to present this as the spiral itself, blurring the lines between the spiral’s properties and the spiral itself. I used this website:\u00a0https:\/\/incompetech.com\/graphpaper\/lite\/\u00a0<\/strong>\u00a0 to construct squares with side lengths from the sequence, up to 34. I then put them all together to create:<\/p>\n It was difficult to differentiate the different squares, so I decided to colour it. I found a colour wheel with at least 34 different colours, and worked from the Fibonacci sequence to colour the respective squares.<\/p>\n Colour wheel used<\/p><\/div>\n <\/p>\n I still felt like the connection between spirals and this image wasn’t as clear as it should’ve been, so I decided to add dots where the spiral line would meet the edges of the squares, to hint at a potential pattern if one were to follow the dots. This gave me the final image to be presented:<\/p>\n Final Fibonacci Sequence Image<\/p><\/div>\n I’ve decided to print this on A4 paper to compliment the sizes of the other objects.<\/p>\n The golden spiral gets wider by a factor of the golden ratio<\/em> every quarter turn.<\/p>\n Wikipedia definition of Golden Ratio.<\/p><\/div>\n The golden ratio is given by a specific irrational number.<\/p>\n Took the first 21 lines of the golden ratio number. Source: https:\/\/www2.cs.arizona.edu\/icon\/oddsends\/phi.htm<\/p><\/div>\n I simply decided to use the first 21 lines of the golden ratio number from this particular source as my next piece.<\/p>\n Golden Ratio Number<\/p><\/div>\n <\/p>\n Wikipedia definition of Golden Angle<\/p><\/div>\n The golden angle is approximately 137.5 degrees, and is used by plants and flowers to efficiently distribute their leaves and florets for maximum exposure using the least amount of effort. I wanted to display this number, is it is important to spirals in nature, in a way that didn’t include simply displaying it. So I thought blocking in the region 0-137.5 degrees on a protractor would do that.<\/p>\n <\/p>\n What was presented in class.<\/p><\/div>\n <\/p>\n I associated oscillatory and repetitive movements with spirals, and so I wanted to represent this oscillatory nature. The simplest way I know to do that is through a pendulum (used heavily in physics). I reused the bob weight\u00a0 I bought, and decided to display it oscillating (swinging) to draw attention to this nature. The dynamic between the string, the weight and gravity also linked in to my interests in the balancing of forces in helical pathways, found in outer space and in atom movements.<\/p>\n<\/a><\/p>\n<\/a><\/a><\/p>\n<\/a><\/h4>\n
Golden Spiral and Golden Ratio<\/h4>\n
<\/a><\/a><\/a>Golden Angle<\/h4>\n
<\/a><\/a><\/p>\n<\/a>Oscillations<\/h4>\n