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That video at the top is very neat. Was it manually made or is there software that makes it easy to do? Also which is the comment they're talking about? I can'

That video at the top is very neat. Was it manually made or is there software that makes it easy to do? Also which is the comment they're talking about? I can't seem to find an anonymous one talking about this on the original post https://terrytao.wordpress.com/2011/08/25/the-collatz-conjecture-littlewood-offord-theory-and-powers-of-2-and-3/ https://terrytao.wordpress.com/2011/08/25/the-collatz-conjec...

hcs 7y ago
I suspect it was this one? https://terrytao.wordpress.com/2011/08/25/the-collatz-conjecture-littlewood-offord-theory-and-powers-of-2-and-3/#comment-84973 https://terrytao.wordpress.com/2011/08/25/the-collatz-conjec...
oefrha 7y ago
Probably made with d3.js. https://d3js.org/ https://d3js.org/
acqq 7y ago
> That video at the top is very neat. It doesn't contain number 9, so I somehow miss what it was supposed to demonstrate.
- _Microft 7y ago
  The animation is a bit strange. I think it's meant to show which numbers will eventually end the cycle at 1. Having the numbers appear in the reverse order compared to what the rules are does not help, in my opinion. Take 16 and 5. While 16 is shown first and 5 after, the meaning is actually that you can get from 5 to 16 by applying the odd rule (3*x+1) and from 10 to 5 by applying the even rule (x/2).
  - cyborgx7 7y ago
    Oh, I see. It's about creating the set of numbers that do end up at 1 by starting at 1 and applying the operations in reverse order. That is neat. They should have explained that in the article.
  - acqq 7y ago
    I understood the rule used. What I question is the: - usefulness of animation - the non obviousness of the numbers that are displayed, v.s. all other remaining in the observed range. At least, non animated version of end frame allows better comprehension of what is shown.
edjrage 7y ago
About the video: https://www.jasondavies.com/collatz-graph/ https://www.jasondavies.com/collatz-graph/ One of the first results if you Google "collatz online". That's also probably why it's confusing - because it wasn't made for the article.

hcs 7y ago

I suspect it was this one? https://terrytao.wordpress.com/2011/08/25/the-collatz-conjecture-littlewood-offord-theory-and-powers-of-2-and-3/#comment-84973 https://terrytao.wordpress.com/2011/08/25/the-collatz-conjec...

oefrha 7y ago

Probably made with d3.js. https://d3js.org/ https://d3js.org/

acqq 7y ago

> That video at the top is very neat. It doesn't contain number 9, so I somehow miss what it was supposed to demonstrate.

_Microft 7y ago
The animation is a bit strange. I think it's meant to show which numbers will eventually end the cycle at 1. Having the numbers appear in the reverse order compared to what the rules are does not help, in my opinion. Take 16 and 5. While 16 is shown first and 5 after, the meaning is actually that you can get from 5 to 16 by applying the odd rule (3*x+1) and from 10 to 5 by applying the even rule (x/2).
- cyborgx7 7y ago
  Oh, I see. It's about creating the set of numbers that do end up at 1 by starting at 1 and applying the operations in reverse order. That is neat. They should have explained that in the article.
- acqq 7y ago
  I understood the rule used. What I question is the: - usefulness of animation - the non obviousness of the numbers that are displayed, v.s. all other remaining in the observed range. At least, non animated version of end frame allows better comprehension of what is shown.

edjrage 7y ago

About the video: https://www.jasondavies.com/collatz-graph/ https://www.jasondavies.com/collatz-graph/ One of the first results if you Google "collatz online". That's also probably why it's confusing - because it wasn't made for the article.