[azulster]

messed around with the tool, why wouldnt a quilt of 4 squares evenly subdivide into 4 quilts of size 1? the tool shows it subdividing into 3 quilts of size 2 and 4 squares of size 1?

i could see 4 quilts of size 2 if "quilt size" is defined as length of side for the initial 4 is actually 4 on each side (16 squares)

[munchler]

Yes, quilt size is defined by the length, not by the area.

Note that an additional constraint is that the side lengths cannot have a common factor, so the 4x4 square can't be broken into 4 2x2 squares.