This debate has been ongoing since merchants considered the concept of interest and the Babylonians estimated the area of a circle. Where do your loyalties lie?
An identification topology perspective on understanding a hypercubes
Yes, it's in German, but this is one of the best videos in explaining how to think about hypercubes.
How does one turn a sphere inside-out without breaking, ripping, or pinching the sphere? Watch the video and find out.
Not Knot: A topological tour of the world of knots by studying the space in which the knot is not
Would you like to learn all about Klein Bottles from the "Inside" , which happens to also be the "Outside"?
The narrator may have a strange voice, and the animation may be a little outdated, but it has the best line ever:
"We must be smart like the lizards were before."