The Hexagonal Tiling Honeycomb

(Hyper)hexagons are the (hyper)bestagons https://m.youtube.com/watch?v=thOifuHs6eY

The, sadly not very polished, game Hyperbolica nevertheless really helped me open my mind to hyperbolic spaces.

I wonder how this compares to H3. Why does H3 has pentagons as well, and this doesn't?

This is cute, but I don't understand why it's on the arXiv. It's only two pages long, of which almost half is a picture and the bibliography, and as far as I can see contains nothing novel. I love Baez's blog(s) (https://johncarlosbaez.wordpress.com/ and https://math.ucr.edu/home/baez/), and it seems this would have been better served posted there as a post. Am I missing something?