It's also inspiring the way it's written, as opposed to a more academic style.
It's also inspiring the way it's written, as opposed to a more academic style.
Who knows, if enough people ask about it on his reddit (topic requests) :) : [1]
[0] https://www.youtube.com/watch?v=mH0oCDa74tE
[1] https://www.reddit.com/r/3Blue1Brown/comments/mllj2s/topic_r...
If you had to draw a picture of it, it would just be a sphere (since it shares many properties with a genus 0 complex curve).
But it's a very different beast than usual geometric shapes. A lot of modern number theory is motivated by an analogy between "p and t", where t is a parameter in a polynomial like t^2 - 2, and where p is a prime number. This space takes the analogy to an extreme where p literally is the parameter for the space[0], like t would be a parameter for the real line.
[0]Not exactly true - true for the "disk" cover of the FF curve.
For academics: is this tone counter productive? For us lay folk: is this tone helpful?
Given that, I think the writing did an excellent job of making it sound interesting and almost accessible.
In comparison quintics are a two hundred year old puzzle and not a two year old puzzle, so it's easy to find explanations elsewhere.
But I wish I hadn't sort of defaulted to reading way too much pop science over the decades. Diminishing returns set in long ago.
But mathematics is a big area (there is a reason why it's a plural: it's better to think of it as more of a family of topics than a single science.) And if you're a mathematician from an unrelated branch of mathematics, an article like this is written in a way where you can understand most of the underlying concepts reasonably intuitively.