[smac__]

Good point, the depth first search algorithm is a bit lack luster for this case: 1 -> .1 2 -> .01 3 -> .001 4 -> .0001 5 -> .00001 6 -> .000001 . -> .0∞1

I would definitely recommend not judging the quality of the video based upon the quality of my reasoning in the experiment.

[neonskies]

> 1 -> .1 2 -> .01 3 -> .001 4 -> .0001 5 -> .00001 6 -> .000001 . -> .0∞1

That would only count the rationals which you can definitely count off a carefully arranged matrix of rationals. But reals = rationals and irrationals and the irrationals are uncountable.

[smac__]

You are definitely right, I missed quite a few numbers in this set. (Thank you!)