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 ($90).
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 ($22).