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Similar to the Pyraminx, the corners on this puzzle are merely ornamental.


Magic Octahedron


Magic Octahedron
in mid-twist

A more intriguing variation on this puzzle would involve faces that turn instead of corners.

Another octahedral puzzle is the Skewb Diamond.


Skewb Diamond

This rare variation is known as Trajber's Octahedron.  It features rotating faces and a spindle-based mechanism similar to Rubik's Cube.


 


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