In my Euclid/inversion animation, I was thinking about using a grid system that got transformed. As you zoom in, a previously transparent grid at the next zoom level starts becoming apparent. Note that I am transforming the entire complex plane, not just the real axis, so it looks a bit more interesting. At 10:34 AM 8/30/2012, Dave Dyer wrote:
At 09:42 AM 8/30/2012, James Propp wrote:
That would certainly be easy to code.
We don't know the identities of very many interesting numbers. I suppose it would be easy and moderately interesting to zoom in on the zone containing pi e e^pi pi^e and so on.
Expanding the space between each pair of rationals to include infinitely many more rationals would be fairly straightforward but boring; but how would you represent the infinite number of irrationals between each of the infinitely many rationals you can't even see yet?