wax palm vs fan palm

wax palm and fan palm both are nouns.

Word	Noun	Adjective	Verb	Adverb
wax palm	Yes	No	No	No
fan palm	Yes	No	No	No

As nouns, fan palm is a hypernym of wax palm; that is, fan palm is a word with a broader meaning than wax palm:

wax palm: Brazilian fan palm having an edible root; source of a useful leaf fiber and a brittle yellowish wax
fan palm: palm having palmate or fan-shaped leaves

As nouns, fan palm is a hypernym of wax palm; that is, fan palm is a word with a broader meaning than wax palm:

wax palm (noun)	fan palm (noun)
palm of the Andes yielding a resinous wax which is mixed with tallow to make candles	palm having palmate or fan-shaped leaves
Brazilian fan palm having an edible root; source of a useful leaf fiber and a brittle yellowish wax
South American palm yielding a wax similar to carnauba wax