Comments by "betabenja" (@betabenja) on "Space-Filling Curves - Numberphile" video.

  1. Please fill me in (haha) :- every point in the hilbert curve hits 1/4 of the way though the space it's tying to fill. Therefore, if you repeat it many times it will only hit multiples of 1/4 within the space. But I know from previous videos that the space in between these are infinitely more numerous due to irrational numbers. So, how does the curve 'hits every point of the square' (3:10) if the points it can hit only have multiples of 1/4 and there are aleph1 points inbetween?
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