Besides the four classes of closed-system premodifiers (predeterminers, determiners, ordinals, and cardinals/quantifiers, there are several other open (unlimited) classes of words that can occur before the head noun. These include:
adjectives
I visited his delightful cottage
-ing participles
I visited his crumbling cottage
-ed participles
I visited his completed cottage
nouns with -s genitive
I visited his fisherman's cottage
nouns
I visited his country cottage
adverbial phrases
I visited his far-away cottage