I couldn't find a step by step for this anywhere, so hopefully this helps anyone with the same trouble I was having
Step 1: Primary Piece
Unscrew either of the two mechanisms available and place your primary piece onto the sphere as shown.
Make sure to align the black spacer's central column around one of the primary piece's three jutting edges.
Step 2: First Face
complete the first face as shown; notice the black spacers in between the center posts and mechanisms.
Step 3: Bulk Built
Follow this pattern around the entire cube.
Step 4: Rubik's Resolved
Stretch apart the middle of the cube until you can fit the last piece in.