Mixture (Sanskrit - मिश्रण) of Interesting Topics

This article is in continuation with my last article about amazing patterns in Fibonacci number series. Here are few really interesting videos.  1.  Fibonacci Mystery - Numberphile (I love watching NumberPhile videos on Youtube. So I will start with it first) 2.  The Golden Ratio & Fibonacci Numbers: Fact versus Fiction (A Stanford University's video lecture about Fibonacci and Golden Ratio) 3.  Arthur Benjamin: The magic of Fibonacci numbers (A TED talk about Fibonacci numbers and their important in teaching mathematics) 4.  Doodling in Math: Spirals, Fibonacci, and Being a Plant [1 of 3]    5.  Doodling in Math: Spirals, Fibonacci, and Being a Plant [2 of 3]   6.  Doodling in Math: Spirals, Fibonacci, and Being a Plant [3 of 3] There is also an association named Fibonacci Association   →  http://www.mscs.dal.ca/Fibonacci/index.html Isn't it amazing...  That's why I like maths. :)

I think Fibonacci is one of the most studied sequences in mathematics and which is named after  Leonardo Fibonacci .  The Fibonacci numbers , and in conjunction the  golden ratio , are a popular theme in culture (from Wikipedia ). It is used in many real-world applications like stock markets predictions (e.g. retracement, etc). I was also fascinated so I started looking at pattern formed by Fibonacci numbers and I found out few amazing things about it:- Java code for printing  →  Fibonacci Series (left/right/normal aligned)  →  FiboSeries.java Important  →   Why am I doing it?  1. for the love of numbers and maths, and  2. I wanted to find  (which I haven't found yet)  n-th Fibonacci number without going through all previous Fibonacci numbers,  or at least find out how many digits are there in any n-th Fibonacci number  or what is the sum of all digits of such n-th Fibonacci number. 1. Fibonacc...