Pick a whole number, if it is even divide it by 2, if it is odd then multiply it by 3 and add 1. Repeat. For example, 12 is even, so goes to 6, then 3 which is odd, so goes to 10, then 5, then 16, then 8, 4, 2, 1. Your number will have also gone down to 1 (I imagine). Will the numbers always go down to 1? This seemingly simple question hasn’t been answered yet, and is called the Collatz conjecture. The image shows my visualisation of how the first few hundred numbers whittle down to 1. It is such an easy question to ask, but we can’t prove it yet; a good example to show there is still plenty of work to be done in maths! [more]
This is fascinating. Original NASA transcripts from early space exploration. The transcript formatting reads like blog comments or a Twitter conversation. Every comment has a permanent URI — here’s the original “Houston, we’ve had a problem.” Additional controls at the bottom of each page reveal the original transcript and a map showing where the crew was during the conversation.
If this isn’t making content meaningful, accessible (in a traditional sense), and enjoyable to consume, I don’t know what is.
(…)
Don’t just read it; fight it! Ask your own questions, look for your own examples, discover your own proofs. Is the hypothesis necessary? Is the converse true? What happens in the classical special case? What about the degenerate cases? Where does the proof use the hypothesis?
Source: Abstruse Goose, Warrior
Faces of
monkeysapes.Capture of a page from James Mollison website (photographer) that has caught my attention by its visual power. Amazing, worth to take a look to the interactive page to see the details of each one of the faces. Good job.
![matthen:
Pick a whole number, if it is even divide it by 2, if it is odd then multiply it by 3 and add 1. Repeat. For example, 12 is even, so goes to 6, then 3 which is odd, so goes to 10, then 5, then 16, then 8, 4, 2, 1. Your number will have also gone down to 1 (I imagine). Will the numbers always go down to 1? This seemingly simple question hasn’t been answered yet, and is called the Collatz conjecture. The image shows my visualisation of how the first few hundred numbers whittle down to 1. It is such an easy question to ask, but we can’t prove it yet; a good example to show there is still plenty of work to be done in maths! [more]](http://24.media.tumblr.com/tumblr_llo5kmftle1qfg7o3o1_500.png)






