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Surely there is a hard limit on this though (unless we have bionic eyes and/or small expanding robot fingers (like in ghost in the shell (http://youtu.be/PkyZGZRnQb4)))

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Certainly, there is. Laser printers print at about 300 dpi and most users can't see any visible pixels there, so at normal reading distance, that seems to be close to the maximum resolution you need to visibly pixel-free from the user's perspective.

Going higher than that probably means thinner blank lines will just appear fainter and not thinner.

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