List of puzzles that make up theoretical groups that I believe are relevant.
OTHER N-SIDED
Celestial Globe
Quantity: 1
A deeper cut Skyglobe with one additional set of pieces, the corners.
Junior Gem
Quantity: 1
Inspired by Dayan Gem VI this puzzle applies the same concept to a simpler geometry. It allows turns of 60° on some faces but is not fudged.
Skyglobe
Quantity: 1
A face turning Truncated Triakis Tetrahedron. The slightest of fudged puzzles.
Skyglobe Ultimate
Quantity: 1
Twelve segments, one rotating circle and one moving hole.