Fascinating. Never knew this was a thing.

I'll have to try the telescope! It's not very powerful, but I know I'm on Saturn because it's a clearly oblate blob. At that time, it'll be a round blob?

very amusing. Thank you for posting op

Yep! They go through a phase of being edge-on so become incredibly flat from our perspective. That also means there's a peak where the rings are most visible which will be in 2032.

There's a lot of good books out there with these phases detailed as well as guides for other planets. Highly recommend it for anyone getting into astronomy.