Can you glue opposite edges of a square? Nash’s embedding – Science4All #7


I’ve long regarded my 7th video as my best video. It has plenty of pretty cool stuffs inside it: concrete simple problem, Historical anecdote, well-known scientists, awesome mathematics, recent developments, stunning images… Most importantly, the video introduces the very basics of curved-space geometry, through Nash’s fantastic embedding theorems, with a particular focus on the duality by intrinsic and extrinsic approaches to geometry.

There’s a somehow unfortunate story behind this video: I uploaded it the day before John Nash, a central mathematical figure of the video, sadly passed away. This has led me to make a follow-up video dedicated to Nash, where I also apologized for the somewhat not-very-respectful way I presented it here. In the end, I truly admire the man. Both for his life struggle with schizophrenia, and his epic mathematical journeys.

To this day, this is the video of the series that has had the most views (1.4k). I must say, though, 1.4k views is not a lot. My best earlier videos have 10k, 20k and even 40k views… So, the question I want to ask you is: How do I get more views? How can I improve the videos? Are there things in the videos you did not like? Are there things you did not understand?