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The original puzzle has 9 triangles per face (size = 3)
and has period 4 turning (i.e. the face or points turn with
90 degree intervals). The puzzle was designed by Uwe Meffert
and called the Magic Octahedron (or Star Puzzler). The
puzzle was not widely distributed but not exactly rare. This
puzzle has some analogies to the Rubik's Cube and the
solving techniques are the same to that of the Pyraminx.
Christoph's Magic Jewel is similar except there are no
trivial corners to solve. This has 2^22*12! or
2,009,078,326,886,400 different combinations.
Uwe Meffert also noticed that there could be an alternate
twisting for the octahedron where it has period 3 turning
(i.e. faces turn with 120 degree intervals).
One is able to simulate a Trajber's Octahedron (period 3
turning and sticky mode). Also one is able to simulate one
with variant turning (period 4 turning and sticky mode).
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