Contrary to popular belief, there are no Eskimo words for snow. There are though, fifteen Inuit lexemes. Roughly, a lexeme can be thought of as an independent vocabulary item or dictionary entry. It's different from a word since a lexeme can give rise to more than one distinctly inflected word. Thus English has a single lexeme speak which gives rise to inflected forms like speaks, spoke, and spoken. It's especially important to count lexemes rather than words when talking about Eskimo languages. That's because they are inflectionally so complicated that each single noun lexeme may have about 280 distinct inflected forms, while each verb lexeme may have over 1000! Obviously, that would put the number of snow words through the roof very quickly.

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In progress-
Here you can see Zach, Leslie, Adrian (atop the block) and me...
(I'm the one looking off in another direction...)