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Star of David
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The Star of David gave puzzle its shape. It has three axes each with four turns in two different types.

The Star of David puzzle is a 24 sided solid with six axes of rotation, and each axis having two rotational layers. The six tips of the puzzle can turn in 90 degree increments, while the next layer below the tips can turn in 180 degree increments.
The Star of David is essentially a higher order version of the Ice-9 and Rhombic18 puzzles.

The puzzle has 2794555929111533682847479786110976000000000 = 2.779*10^42 permutations.
Compared with the number available if the puzzle can be disassembled and reassembled there are these restrictions:
-The outer rhombi are split into two subsets.
-The tips are split into two subsets.
-The outer triangles are split into two subsets.
-The inner rhombi can't be oriented.
-The outer rhombi can't be oriented.
-The permutations of tips and inner rhombi always have the same parity.
-The orientations of inner triangles and the permutations of tips, outer rhombi and outer triangles always have the same parity. This is true for both subsets => Factor=4.

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Contributors

Thank you to the following people for their assistance in helping collect the information on this page: David Pitcher, Andreas Nortmann.

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