Abstract: A knot mosaic is a grid of pictorial tiles representing a tame knot or link. Eric Rawdon, Elizabeth Paterson, and Sayde Jude recently introduced what we call knot corner-mosaics, a different set of tiles that also represent a tame knot or link. We define the (corner) tile number, the minimum number of tiles needed to represent a knot as a (corner) mosaic. Our main result is a correspondence between mosaics and a certain kind of corner-mosaics, which has exciting implications for the tile number.