The Naib has requested I put out a few more posts, particularly of the mathematical variety. I finished my math degree two years ago, so it actually is pretty fun for me to think about it now (although, I must admit, the classes got painful sometimes).
Anyway, I really like the Naib and am quite willing to accomodate him, so here is another one since I seem to be in a posting mood today.

Did you know that no one had ever been able to prove that the premises behind Eucidean Geometry (you know, where all triangles have 180 degrees-the geometry you did in high school, if you took geometry) were always true?
Turns out, you can have several types of geometry: Eucidean; the kind where you assume triangles have over 180 degrees; and the kind where you assume triangles have under 180 degrees.
As it turns out, one of the last two has been very useful in attempting to figure out how galaxies, black holes and the like work but for the ordinary Earth sized stuff, it is best to work with the assume a triangle has 180 degrees.
Maybe you knew that, maybe you didn’t. I, personally, found it to be fascinating.