Topology is a funky subject that involves a lot of complex mental images but is often written in math notation. Nothing wrong with that, but it helps to have a visual aid sometimes and topology is in fact very visual-friendly.
As topology becomes used more in data analysis (see:Ayasdi and others) it is becoming less of an abstraction and more a real tool right now.
My brother's really good at data viz and front-end programming. And I have an MS Math and know topology.
Do you think a site with animations/visualizations for Topology would be really useful or popular?
I don't know how useful or popular it might be, but a lot of my general topology proofs usually involve spatial intuition, so it might be useful to develop the reasoning behind proofs. Not that it's hard anyways.
>>9168428
Hey OP, here's some of what you're looking at. These are from Jeff Weeks, who has a delightful book called "Shape of Space". It's a good light read for the subject.
http://geometrygames.org/
It's more for learning the subject and not truly for visualizing all sorts of shit, but then again I think you'll have a hard time describing the n-dimensional hole in your n+k dimensional data set that you get from some applied homology algorithm lol.