# Numbers of the World

Recently Matt Parker uploaded a video to his YouTube channel where he discussed numbers and the words used to represent them in different languages, more precisely the length of these words:

The basic idea is the following:

1. one has 3 letters,
2. two has 3 letters,
3. three has 5 letters,
4. four has 4 letters,
5. five has 4 letters,
6. six has 3 letters,
7. seven has 5 letters,
8. eight has 5 letters,
9. nine has 4 letters,
10. ten has 3 letters,

and so on... This can be seen as a function

Continue reading Numbers of the World

# Visualising the Riemann Hypothesis

One stubborn source of frustration when working with complex numbers is the fact that visualisation becomes tedious, if not impossible. Complex numbers have 2 "real" dimensions in themselves, which give rise to the complex plane. That's all good and fair. But if you talk about a function with complex domain and codomain, you already deal with a 4-dimensional graph. Unfortunately, my mind can only handle 3 dimensions (on a good day). One can resort to taking the absolute value of the function instead, or map real and imaginary part individually, resulting in a 3-dimensional graph, but all of these solutions fail to satisfy in one respect or another.

However, there is one more dimension we can exploit: time! Used in the right way, this can produce wonderful videos like this one: