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Skyglobe
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A face turning Truncated Triakis Tetrahedron. The slightest of fudged puzzles.

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�).

The puzzle has 121543802086412176337959365937734798099134114564605771097217898224597125886419927040000000=121*10^87 permutations.
This number is lower by a factor of 8 compared with the naive number.
No single edge can be flipped without another.
The permutation of the edges has to be even.
The permutation of the pentagons has to be even.
The permutation of the triangles has to be even too although this is only visible in the super variant.

Edge length (hexagons): 28 mm
Weight: 57 grams

Links

Contributors

Thank you to the following people for their assistance in helping collect the information on this page: Timur Evbatyrov.

Collections

This puzzle can be found in collections of these members:

Andreas Nortmann: Andreas' collection


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