"Corner" vs. "nook"

Are the nouns "corner" and "nook" synonymous? I just saw them employed in an enumeration as if they meant different things:

... has a funny shape, with ledges, corners, nooks,...

What are any differences between them?

While there is overlap, there is definitely domain unique to each. A nook could be an inside corner, but it connotes seclusion, and may denote "coziness." An outside corner could never be considered a nook. Also, a cubbyhole, or recess--which could have many or no corners in it (round nooks?)--would be a nook.

A corner refers to a definite place where two walls, or surfaces, meet.
A nook refers to any small private space.