Amazing Graphs III – Numberphile

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Featuring Neil Sloane from the OEIS. Full “Amazing Graphs Trilogy” and extras at:

More links & stuff in full description below ↓↓↓

Neil Sloane is founder of the OEIS:

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Amazing Graphs
Part 1:
Part 2:
Part 3:
Extra Bit:

Sequences featured in this video include…
Stern’s:
Hofstadter’s:
And Remy’s:

Thanks Patrons: Arjun Chakroborty, Ben Delo, Jeff Straathof, Jeremy Buchanan, Andy, Yana Chernobilsky, Christian Cooper, Ken Baron, Bill Shillito, Nat Tyce, Ben, Bernd Sing, Dr Jubal John, Tom Buckingham, Giuseppe Bonaccorso, Adam Gold, Andrei M Burke, Adam Savage, Matthew Schuster, Matheson Bayley, James Bissonette, Robert Donato, john buchan, Steve Crutchfield, Jon Padden, Valentin-Eugen Dobrota, Eric Mumford, Charles Southerland, Arnas, Ian George Walker, Jerome Froelich, Tracy Parry, George Greene, Igor Sokolov, Alfred Wallace, Jussi Suontausta, Bodhisattva Debnath.

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47 COMMENTS

  1. Watch the full Amazing Graphs Trilogy (plus an extra bit): https://www.youtube.com/playlist?list=PLt5AfwLFPxWLkoPqhxvuA8183hh1rBnG

  2. That last sequence graph looks a bit like the first ionisation energy for the elements in sequence. They increase exponentially from Hydrogen, helium, lithium gets a slight drop as you have gone from 1s to 2s. Beryllium, boron gets a drop as you go to 2p, carbon, nitrogen, oxygen gets a drop as 2px now has 2 electrons, fluorine, neon, sodium gets a slight drop as you move to 3s, calcium and on it goes. The slight drops get longer in interval.

  3. 8:15 It's probably not the same one, but I wouldn't be entirely surprised if that was "the" Adam Savage, of Mythbusters, as a Patreon supporter.

  4. Such magic – thank you for a great introduction. Off to play with overlapping binary place holders 🙂 brilliant stuff

  5. Please tell me Neil did the artwork for this series. Those stylised portraits constitute some amazing graph-ics.

  6. 4:50 fibonachi exists in negative values, and so we wouldn't have any problems if we needed the -3rd number of the fibonnachi sequence, for example

  7. Neil sloane is my new favourite numberphile appearance 🙂 I can listen to him for hours! Not that I understand 90% of what he says, but I still like to listen 🙂

  8. *****
    as it can be seen, basically all the graphs have fractal character – did someone try to calculate the ratio between the size (or beginning of the location) of the repeated parts of the graphs? is it something like feigenbaum constant ??? does the ratio converges in a such graph? this wants the sequences to be calculated very far away (some to milions, some to bilions terms), but the ratio in the fractal graphs could be interesting, is it universal? is it special for every sequence with this kind of graph with fractal character?
    *****

  9. Hofstadter's Q Sequence bothers me. I've programmed and found that when it "rescatters" on the graph, there is a high point and a low point, before the graph comes back together again along a slope of approximately y=2x. That is, for every n'th time the graphical represenation of the data rescatters, the highest point of that scatter will predictably be at (2^n + 2^(n-1), 2^n). The lowest point of the n'th scatter will also be found at (2^n + 2^(n-1) + 1, f(n) < 2^n)… However I can't find that function for that low point.

  10. Wouldn't it be a nice empirical thing to plot sequences by a computer (in more dimensions) until we find the Riemann Zeta function?

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