I'll take del_c's word for it that there are 412 - which is very close to the number of distinct sounds (not counting tones) in (Mandarin) Chinese. I'm sure there would be some clever way to map all of the non-intersecting paths through a 5x5 grid (I guess that's what they are, at least) to the Chinese syllables ...
... of course, if I'd refreshed the page before commenting, I would have seen simont's various comments and done rather less stating-of-the-obvious. Oh well ...
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I'll take
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