What kind of sorcery is this!?(v.redd.it)

I'm convinced the field of topology is just straight up magic

It's been several years now, but I did an undergraduate topology class. It was cool, but I found that basic topology is actually not all that interesting. I was also a research assistant with a professor who specialized in knot theory and that shit was wild, so you're correct there. Class-wise, abstract algebra and number theory blew my fucking mind every day.

I wish I could go take a couple more upper level math classes, especially number theory, but it's too damn expensive

Khan academy has some fairly advanced math courses FYI.

It's usually pretty affordable to audit classes. I wouldn't say cheap but more affordable

Some colleges let senior citizens audit classes for free. This is something I've considered spending my retirement doing.

You can for sure teach yourself if you're determined and enjoy the practice.

There's lots of recorded lectures online for different courses. MIT has a number of free online math courses too

I remember someone showed a simple "knot" to an audience, maybe it was a TED Talk I don't know. I put "knot" in quotes because it wasn't truly a knot because real knots are untieable. He showed a super simple "knot" like you'd see on a shoelace, and said that there is no known solution to untying it in as few steps as possible.

but I did an undergraduate topology class.

So can you still tell the difference between a donut and a coffee mug?

What difference? ;)

Fold and Cut Thearum. A way you can fold a piece of paper so you can create almost any shape by cutting it once. https://en.wikipedia.org/wiki/Fold-and-cut\_theorem

https://en.wikipedia.org/wiki/Fold-and-cut_theorem

https://youtu.be/ZREp1mAPKTM

Just think of them in reverse. You coil a rope, push the loop under a handle/desk, and then pull the end over and through your loop.

Huh! Just tried it. Thanks!