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Golden Ratio and Fibonacci Sequence and Mandelbrot

by Mountain Computers Inc., Publication Date: Saturday, November 28, 2020
View Count: 1478, Keywords: Mandelbrot, Golden Ratio, Fibonacci Sequence, Hashtags: #Mandelbrot #GoldenRatio #FibonacciSequence



I was on YouTube and saw a story about Mandelbrot, amazing story, so I did a wiki look up and read more, and that led me to the Golden Ratio (1:1.6) and then to Fibonacci 0 1 1 2 3 5 8 13 21 ...
 
Just fascinating all the great coverage on three mathematical things that apply to our universe.
 
I wish my professors in college would have described these three items in such detail as this in the videos and the mathematics and application behind them. Oh well, at least I know more about them now and how I can leverage them in my present and future projects, research and deliverables.
 
Here are the three items that piqued my interest:
 
* Mandelbrot - Fractal Geometry
* Golden Ratio - 1:1.6
* Fibonacci Sequence - 
 
So, after watching an hour of youtube videos and reading up on mandelbrot, i say, why not just vb6 program the Fibonacci sequence in just a few minutes to see if i remember how simple it was; it was however the first program I had to do in computer programming CS 100 series in my undergraduate program at @OregonTech. Mr Gupta gave us a few hours to figure it out. It took about an hour back then in 1987-91. This reminds me of my fuzzy logic neural network programming days too with Mr. Pickett and then on to the PDP11 assembly with Mr. Caldwell. Good memories. Good times, then Mr. Albert, so on and so forth, Mr. McAtee, the list of professors were great at OIT.
 
here is the code. simple.. i just did it real fast for ya..
 
Dim c ' iterations
Dim x ' initial value
Dim y ' next value
Dim z ' sum of previous plus previous sum
c = 0
x = 0
y = 1
For c = 1 To 20
Debug.Print x
z = x + y
x = y
y = z
Next
 
 0
 1
 1
 2
 3
 5
 8
 13
 21
 34
 55
 89
 144
 233
 377
 610
 987
 1597
 2584
 4181
 
so that was easy. here are the youtube videos if you want to enjoy and the wiki link.

References:
Benoit MandelBroth -  https://en.wikipedia.org/wiki/Benoit_Mandelbrot
https://www.google.com/search?q=benoit++mandelbrot&oq=benoit++mandelbrot
The Mandelbrot Set - https://www.youtube.com/watch?v=56gzV0od6DU
 
Golden Ratio --  https://www.youtube.com/watch?v=c8ccsE_IumM
Nature by Numbers --  https://www.youtube.com/watch?v=BaXjWXXwQTk
Agile Development -- 
https://elearningindustry.com/fibonacci-sequence-what-is-and-how-applies-agile-development

shout out to OregonTech on Twitter:  https://twitter.com/OregonTech
 more to come...
 

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