Skewb Ultimate
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The Skewb Ultimate, originally marketed as Pyraminx Ball is a twelve-sided puzzle derivation of the Skewb, produced by famous toy-maker Uwe Meffert. This puzzle has two color variations: One has twelve unique colors, while the other has only six unique colors, with opposite sides sharing the same colors.
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[edit] Description
The Skewb Ultimate is made in the shape of a dodecahedron, like the Megaminx, but cut differently. Each face is cut into 4 parts, two equal and two unequal. Each cut is a deep cut: it bisects the puzzle. This results in 8 smaller corner pieces and 6 larger "edge" pieces.
The purpose of the puzzle is to scramble the colors, and then restore them to the original configuration.
[edit] Solutions
At first glance, the Skewb Ultimate appears to be much more difficult to solve than the other Skewb puzzles, because of its uneven cuts which cause the pieces to move in a way that may seem irregular or strange.
Mathematically speaking, however, the Skewb Ultimate has exactly the same structure as the Skewb Diamond. The solution for the Skewb Diamond can be used to solve this puzzle, by identifying the Diamond's face pieces with the Ultimate's corner pieces, and the Diamond's corner pieces with the Ultimate's edge pieces. The only additional trick here is that the Ultimate's corner pieces (equivalent to the Diamond's face pieces) are sensitive to orientation, and so may require an additional algorithm for orienting them after being correctly placed.
Similarly, the Skewb Ultimate is mathematically identical to the Skewb, by identifying corners with corners, and the Skewb's face centers with the Ultimate's edges. The solution of the Skewb can be used directly to solve the Skewb Ultimate. The only addition is that the edge pieces of the Skewb Ultimate are sensitive to orientation, and may require an additional algorithm to orient them after being placed correctly.
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