Online since 2002. The most comprehensive site for all around twisty puzzles.

Skyglobe Ultimate
Above:View 1
Click a thumbnail to see its larger version and description.
Twelve segments, one rotating circle and one moving hole.

This puzzle has the shape of a Truncated Triakis Tetrahedron. It is inspired by the Skyglobe and the Celestial Globe. The latter was designed by the same inventor.
Unlike the predecessors it has only 3 piece types:
- 12 pentagonal center pieces
- 28 corner pieces
- 4 fixed hexagonal centers.
This puzzle uses the same mechanism as the Celestial Globe puzzle, except that the inventor hid all the edge and petal pieces by deepening the cut. This means that there are 78 internal pieces in this puzzle. The puzzle is stable despite being fudged.

The puzzle has 17618410382958376903156731140848773263523840000000000000000000 = 17.6*10^60 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 pentagon is determined by the others.
-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 pentagons always have the same parity. (factor 2)
Stickered as shown here the puzzle has 360825044642987558976649853764582876436968243200000000 = 361*10^51 permutations.

Links

Contributors

No one has contributed to this page yet!

Collections

This puzzle can be found in collections of these members:


Found a mistake or something missing? Edit it yourself or contact the moderator.
join »login » Community