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The name "Expert's 2x2x2 cube" is chosen to relate to the
Beginner's Cube which can be created with exactly the same set of stickers.
Since all 8 cubies are different and none is invarant when twisted, the number of possible positions on the Expert's Cube is the same as on a regular 2x2x2 Cube: 3'674'170.
It may also be reminiscent of the
Shepherd's cube . But the Shepherd's cube consists of two groups of three cubies where all three cubies in a group look the same. The other two cubies are invariant when twisted. Therefore the Shepherd's cube can show only 34'020 different positions.
Some interesting patterns can be set up with the Expert's cube. This is why I thought for a moment I should call it "Tangram cube".
B2 R' U R B R' B U' leads to:
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Walter Randelshofer was fast in setting up a
virtual Expert's Cube.