Saw a post on relationship metaphors based on mathematical concepts, and they were all very interesting and fun metaphors. The one about parallel lines, like two people who never "meet" (literally or figuratively), made me think of something, though.
I feel like someone more poetic than I am can make use of this:
Parallel lines can meet if we work in spaces other than what we're used to (what we're used to is called "Euclidean space," for those who haven't ever heard that term).
For example, if our space is a sphere, there are no such things as parallel lines.
For another example, in the growing field of projective geometry (Used in art! Math isn't only for science) we have what is called "projective space," often also called "extended Euclidean space," that includes points and lines at infinity. Thus, in projective space, parallel lines meet at infinity.
I dunno, I feel like someone could find something interesting in this. I'm a little too lethargic to do anything with this myself at the moment.
