lattice vs treillage

lattice and treillage both are nouns.

Word	Noun	Adjective	Verb	Adverb
lattice	Yes	No	No	No
treillage	Yes	No	No	No

As nouns, treillage is a hyponym of lattice; that is, treillage is a word with a more specific, narrower meaning than lattice:

lattice: framework consisting of an ornamental design made of strips of wood or metal
treillage: latticework used to support climbing plants

Other hyponyms of lattice include trellis.

lattice (noun)	treillage (noun)
framework consisting of an ornamental design made of strips of wood or metal	latticework used to support climbing plants
small opening (like a window in a door) through which business can be transacted
an arrangement of points or particles or objects in a regular periodic pattern in 2 or 3 dimensions