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

• Inventor: Timur Evbatyrov
• Mechanism: Doctrinaire axis system with fractional angles (corner turning hexahedron)
• Patents: Unknown
• Producer: 3D printing service
• Year: 2011
• Original Price: $190.00 USD
• Current Price: No Data

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 26457440143198197106778711405902118435472151747923417332808325959834878434592723945908076544000000000000000000000000000000 = 26.5*10^120 permutations if all pieces are considered distinguishable and their orientations visible.
Compared with the number available if the puzzle can be disassembled and reassembled there are these restrictions:
-The orientation of the last rhombus is determined by the others.
-The orientation of the last pentagon is determined by the others.
-The permutation of the triangles is always even.
-The orientations of the hexagons and the permutations of the rhombi and the permutations of the pentagons always have the same parity. (factor 4)
Stickered as shown here the puzzle has 121543802086412176337959365937734798099134114564605771097217898224597125886419927040000000 = 122*10^87 permutations.

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

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

This puzzle can be found in collections of these members:

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