Collatz Conjecture
The Collatz conjecture says that if you take any natural number, if its even divide by two & if its odd multiply by three, add one & then divide by two, you will eventually reach one. I’m doing a modification where I subtract one & instead of adding one after I multiply an odd number by three. IN doing this, I found that some orbit ended in 14, 7, 10, 5... On my graph I am showing the intervals between each seed number that ends in that pattern. There wasn’t anything new in the data that I saw on the table, it was just a new way of looking at it. One thing I’d like to know is why some of them end in one & others don’t.
A conjecture is a proposition that works with any number you use but has not been proven. There were not any conjectures formed by myself. I have learned that mathematicians must have a lot of time on their hands to spend figuring out all these conjectures. Being as time consuming as it is, it’s not unlike science research. In working with Collatz conjecture, we found patterns in the original process, the modified one, & the coding. The patterns helped us find things like patterns between even numbers & odd numbers. Patterns are important because these patterns could be used in figuring out these conjectures, although how that would be executed is beyond me.
A conjecture is a proposition that works with any number you use but has not been proven. There were not any conjectures formed by myself. I have learned that mathematicians must have a lot of time on their hands to spend figuring out all these conjectures. Being as time consuming as it is, it’s not unlike science research. In working with Collatz conjecture, we found patterns in the original process, the modified one, & the coding. The patterns helped us find things like patterns between even numbers & odd numbers. Patterns are important because these patterns could be used in figuring out these conjectures, although how that would be executed is beyond me.