This shape is called Truncated Triakis Tetrahedron and is one of the near-miss Johnson solids (the pentagonal faces are slightly irregular). Like Pyraminx, Skyglobe has 4 axes of rotation, but each face can be turned by 60°-steps.
To build this puzzle, you need to order 2 models:
1. This one ($80).
2. Part 2
Additionally, you have to provide 4x screws M3x10 and stickers.
If you wish to build Skyglobe in a non-truncated shape, additionally order this model
5.686 w x
5.422 d x
2.239 w x
2.135 d x