A square sphere, being a sphere, has 0 vertices.
According to the reference:
- A sphere has 0 vertices.
- A sphere has 0 edges.
- A sphere has 1 curved surface.
Therefore, regardless of being described as a "square sphere," if it's truly a sphere, it will have zero vertices. The term "square sphere" might be a confusing descriptor, as a sphere is defined by its smooth, curved surface, lacking any corners or vertices.