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A face turning Truncated Triakis Tetrahedron
Skyglobe has the shape of a Truncated Triakis Tetrahedron. This solid has 4 regular hexagonal faces and 12 irregular pentagons and is a so-called Near-miss Johnson solids. The puzzle's hexagonal faces may be turned by 60-degree steps. This puzzle is somewhat similar to Constellation Six but it has one more axis of rotation. Except the core and its attached pieces the puzzle contains only 4 different types of pieces.
The irregularity of the pentagonal faces requires slight fudging (regular pentagons in the center of each star do not ideally fit their cavities), but this is almost unnoticeable (deviation angle is ~2.4°).
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