Quilty Square consists of two large buildings with a small one in-between them, and a rounded earth. The rounded earth, like Mario Galaxy from Super Smash Bros. for Wii U, has unique gravity, which pulls projectiles along with the curvature of the earth so long as its source is also standing on it.
On the left side, there is a building which has six platforms that make up its interior. Two small platforms are located on the left and right sides of a much longer platform located parallel to them. This formation is replicated directly above it. The building on the right is less complicated, instead consisting of a solid base platform and two long platforms that run parallel to each other. In-between these two buildings is a single large platform.
As previously mentioned, the earth below the these buildings is curved. The platform extends off to the right and left blast lines, and two small hills, which players can jump onto, appear beneath both buildings.