I am attempting to convince myself I did not watch tosh when I was a child. In particular, I'm convinced Equinox and Horizon were far better "when ah wer a lad".
So, off to youtube, where I got distracted by this: http://youtube.com/watch?v=8v-WfRSeNxA I've always been annoyed by the bit where he says: "we see literally infinite complexity". For the time being, let's leave aside the problem of what "literally" means in this sentence (let's not get distracted). If the Mandelbrot Set really were infinitely complex then presumably, I could specify any picture in it that I wanted simply by providing the imaginary top and bottom co-ordinates of a rectangle. If I was a Mathematician, at this point I would take this statement and produce a short proof that it is contradictory.
But I'm not (sorry). However, to see what I'm getting at, just go away and play with the M-set (/look, I'm hip/) for a bit in your favourite browser.
Good, now, do you think you could find a picture of the Queen being punched in the eye by my wife? No, good, neither do I. See, that was far more entertaining than a proof.
Back to youtube...