Tuesday, May 30, 2017

Collatz Conjecture

Mathematics and Nature: 

(from Wikipedia:  Collatz Conjecture )
The 3x+1 problem is a conjecture in mathematics which can be summarized as follows: 

Take any positive integer n. If n is even, divide it by 2 to get n / 2. If n is odd, multiply it by 3 and add 1 to obtain 3n + 1. Repeat the process indefinitely. The conjecture is that no matter what number you start with, you will always eventually reach 1.

Image from Wikipedia: 

Try yourself  the Collatz Conjecture with this tool:

 
 
Video Numberphile: (Collatz Conjecture)

https://www.youtube.com/watch?v=LqKpkdRRLZw

And The briliant response to this video by Adrian Wadley:

Video Answer by: Video from: Adrian Wadley @wadleysf
:





https://www.youtube.com/watch?v=RzQE2Q7lsT4

Another way to show the Collatz Tree by: Matei Copot:  





Post made after a collection of messages on twitter: https://twitter.com/macajo/status/869506214891315201

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