I mentioned Srinivasa Ramanujan today in class. He was really a truly exceptional mathematician, even amongst the greats. I haven’t had a chance to watch this documentary, but browsing through it, it looks pretty good (though quite deep in terms of the mathematics):

There’s also a very nice radio podcast from the BBC which can be found here.

The particular puzzle I was talking about today with the house numbers can be found here: https://www.math.auckland.ac.nz/~butcher/miniature/miniature2.pdf.

I wrote up a strange sum on the board the other day and didn’t discuss it any more. This is another example of the really weird properties of infinities and some discussions about it can be found here:

Part 1:

Part 2:

This particular mind-boggling sum is actually used within superstring theory when we find that the number of dimensions that superstring theory is consistent in is 10.