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Constellation Six
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Vertex-turning triangular dipyramid.

This is a vertex-turning triangular dipyramid that has 3 complanar axes of rotation. It ignores traditional axis systems since it allows 90-turns. Each of the 6 faces has a star image on it (hence the name) and with only 3 possible moves the puzzle gets totally scrambled very easily.
It was said that this was the first puzzle with infinite number of states, because each move turns the inner circle by an irrational angle (~138.59) and it will never reach the same orientation if you keep turning it in the same direction. In praxis this would not be a problem since the mechanism allows the circles to be turned independently from the rest of the puzzle.

The puzzle has 141933710527337434680769346109702144000000000 = 141*10^42 permutations if all pieces are considered distinguishable and their orientations visible, except the circles.
Compared with the number available if the puzzle can be disassembled and reassembled there are three restrictions:
-The first eigth edges determine the orientations of the ninth.
-The triangles allow only even permutations.
-The tips, edges and circles have to have permutations with the same parity.
Stickered as shown here the puzzle has 95066624956689275415252959232000 = 95.1 *10^30 permutations.

Edge length (long edge): 77 mm
Edge length (short edge): 51 mm
Weight: 25 grams



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


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