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Isn't it actually 0.01, or perhaps 0.001 or something similar

Pure water at sea level can be solid/liquid or gaseous at 0.01 degrees Celcius/Centigrade... It is the triple point of water because it can be in all three of the main states.

Although I suppose if 0.01 is the tripple point then the freezing point would be 0 because if it is cooling down it would be water at 0.01, and ice at 0.
Wheras the melting point might be 0.02 or whatever.
(I may have made the last 3 lines up, I was just thinking it through)