fan palm vs wax palm

fan palm and wax palm both are nouns.

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

As nouns, wax palm is a hyponym of fan palm; that is, wax palm is a word with a more specific, narrower meaning than fan palm:

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

fan palm (noun)	wax palm (noun)
palm having palmate or fan-shaped leaves	palm of the Andes yielding a resinous wax which is mixed with tallow to make candles
	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