Fibonacci numbers are not everywhere, they're just the default pattern in nature. It's like honeycomb isn't hexagonal because bees worked out that was the most efficient method, it's just hexagons are what form naturally when bees make honeycomb.
the "...antelope?" is just a goat, I'm pretty sure - although! a "goat-antelope" is a generic term for a goat or sheep, despite antelopes being a different type of animal
Dearest Ayliean, as someone who has never been very good at math, but who deep down loves it (almost as much as languages) and wishes he could figure it out a lot better, I wonder if you could recommend me a book (or more than one) that could get me on the right track, one that gives you a good glimpse into the "magic", for lack of a better term, of the realm of math. Thank you!
There are many, but it very much depends on exactly what sort of stuff you are looking for. The Navier-Stokes equations mentioned by Aeliean in this video are an example of partial differential equations, which are super difficult to solve and understand (especially the former), and would probably overwhelm almost everyone. What I do really like is "Gödel, Escher, Bach" by Douglas Hofstadter. It's a big book that uses a lengthy but very pretty and illustrative description to make you understand Gödel's Theorem of Incompleteness and its proof. A very, very abstract branch of mathematics (it's abstract, even for mathematicians) but really beautiful and giving you an understanding of the power of abstract thinking.
@@fabadam Thank you for replying. Yeah, I was perhaps too vague in my request, but it was precisely because right now I'm more interested in the wider picture of mathematics than in any particular aspect or branch of it, even at the inevitable expense of barely beginning to scratch the surface. Thank you very much for the recommendation. I've actually read _Gödel, Escher, Bach_ already, and it is without a doubt one of the most rewarding books I've laid my hands on so far. However, I could definitely benefit from additional reads, since there are things in it I still struggle to understand. It doesn't even have to be only books in English, though those are certainly welcome, since English is almost a second mother tongue for me, by now, but it could be anything in Spanish, French, German, Catalan, Italian, Dutch or Portuguese, as well.
@@justintroyka8855 Thank you very much for your recommendation! I've only just started reading it, but the little I've read so far has certainly grabbed my attention. Thanks once more.
the christmas pudding balaclava is so cool, great vid!
A christmas pudding hat is cool enough, but a freely transforming christmas pudding balaclava/hat is _advanced_
This video does such a great service to the joy of math!
Nice to see a MathsJam Shout handout lurking in the background at 1:38
Super appreciate this as someone who has both phi and fibonacci numbers tattooed on me.
So glad I found this channel. And great lesson!!
THAT LOOKS LIKE A BURGER HAT MADE INTO A CHRISTMAS PUDDING. GOOD MATHS
My Christmas wish is for more videos from you :)
Excellent stuff! Yes!
🙏
Fibonacci numbers are not everywhere, they're just the default pattern in nature. It's like honeycomb isn't hexagonal because bees worked out that was the most efficient method, it's just hexagons are what form naturally when bees make honeycomb.
what about the cochlea of the inner ear, is this fibbing?
the "...antelope?" is just a goat, I'm pretty sure - although! a "goat-antelope" is a generic term for a goat or sheep, despite antelopes being a different type of animal
0:40 But nobody ever claimed that every spiral is...
The chillest video of the year I think, beautiful
Dearest Ayliean, as someone who has never been very good at math, but who deep down loves it (almost as much as languages) and wishes he could figure it out a lot better, I wonder if you could recommend me a book (or more than one) that could get me on the right track, one that gives you a good glimpse into the "magic", for lack of a better term, of the realm of math.
Thank you!
There are many, but it very much depends on exactly what sort of stuff you are looking for. The Navier-Stokes equations mentioned by Aeliean in this video are an example of partial differential equations, which are super difficult to solve and understand (especially the former), and would probably overwhelm almost everyone. What I do really like is "Gödel, Escher, Bach" by Douglas Hofstadter. It's a big book that uses a lengthy but very pretty and illustrative description to make you understand Gödel's Theorem of Incompleteness and its proof. A very, very abstract branch of mathematics (it's abstract, even for mathematicians) but really beautiful and giving you an understanding of the power of abstract thinking.
@@fabadam Thank you for replying. Yeah, I was perhaps too vague in my request, but it was precisely because right now I'm more interested in the wider picture of mathematics than in any particular aspect or branch of it, even at the inevitable expense of barely beginning to scratch the surface.
Thank you very much for the recommendation. I've actually read _Gödel, Escher, Bach_ already, and it is without a doubt one of the most rewarding books I've laid my hands on so far. However, I could definitely benefit from additional reads, since there are things in it I still struggle to understand.
It doesn't even have to be only books in English, though those are certainly welcome, since English is almost a second mother tongue for me, by now, but it could be anything in Spanish, French, German, Catalan, Italian, Dutch or Portuguese, as well.
@@ControlledCha0s I would highly recommend Francis Su _Mathematics for Human Flourishing_
@@justintroyka8855 Thank you very much for your recommendation! I've only just started reading it, but the little I've read so far has certainly grabbed my attention.
Thanks once more.
lucas numbers are cooler than fibonacci, though
I wouldn't say that, but it's cool when Fibonaccis and Lucases work together. There are so many interrelations between them.
Lol, if you are the bitter hater, then you are the kindest bitter hater I have ever seen on the interwebs. :)