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A deeper cut Skyglobe with one additional set of pieces, the corners.
This puzzle has the shape of the Truncated Triakis Tetrahedron (a near miss Johnson solid), and has 4 axes of rotation, which are located on the hexagonal faces. These axes allow 60 degree turns, and the puzzle can be scrambled without any shapeshifting or bandaging.
This puzzle is a deeper cut version of Timur Evbatyrov's Skyglobe, see the separate entry. If the Skyglobe is compared to a Starminx, then the Celestial Globe would be a Master Pentultimate.
Like the Skyglobe, this puzzle is slightly fudged and the effects are visible as gaps on the surface of the puzzle, however, the puzzle is fairly stable and pieces do not rattle or wiggle around. The small corner pieces sometime catch on the gaps, but it is not a major issue. The difference in solving to the Skyglobe are the corner pieces which are not present in the Skyglobe.
The inventor designed the Celestial Globe in december 2021 but finished it in 2022.
Edge length (between two pentagons): 27 mm
The puzzle has 30756189375987511283693640371728746459708095339695808475659609101601240023262084652142993885883705100492852986244446311579385856000000000000000000000000000000000000 = 30.8*10^162 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 trapezoids is always even.
-The permutation of the corners is always even.
-The orientation of the last corner is determined by the others.
-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 141291983435074655455554194517906757121480497624250330537685919101473451240198251278638609303211954677001076998102056960000000000000 = 141*10^129 permutations.
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Celestial Globe
