‘Interesting’ is a subjective notion. One might distinguish several different categories of ‘interesting’ mathematical statements or problems. This article talks about a few of these categories with examples.
A tesseract is a ‘four dimensional cube’, that is projected into three space. The qualifier may be unnecessary, but of course you’ll never see an example of a tesseract for which this isn’t the case.
Without a source I recall a text I read which described the invention of the Monte Carlo Method, and how it “was dignified with a name” after being used extensively during the Manhattan Project. This is a fantastic phrase that fits this method well.
This semester I’ve taken a course covering, again, introductory point set topology. This is a fairly standard and basic subject to cover in an undergraduate mathematics course. There is something fascinating about point set topology; it invites conjectures and then dashes those conjectures in satisfying and clever ways.
This year I attended the Mardi Gras in Sydney for the first time. I was even on a float, though groans cry out when I reveal that it was the Liberal Party float.
There is a facebook page dedicated to Haiku on the subject of Tony Abbott.