It is the same thing, with two tiny changes: 1. different-size projected squares are replaced with same-size circles 2. the tweet's image puts the north pole

It is the same thing, with two tiny changes: 1. different-size projected squares are replaced with same-size circles 2. the tweet's image puts the north pole on a corner; the projection on the upthread link puts the north pole on the face. Keeping the corner at the north pole does make it easier to understand, but it's still a stereographic projection.