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Quirky Gem II
Above:Solved
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A 1x2x2 that allows 60-turns and eight additional rotations that sometimes jumble and sometimes not.

The puzzle's core has two different axis systems. One is a 1x2x2 which is demonstrated by image 2. Here one can visualize the puzzle as two intersecting hexagons. This also dictates the puzzle's shape. The hexagons split the puzzle into four quarters and each slice can be turned by 60, the first amazing feature of this puzzle.
There is an additional axis system that allows turns along shallower edge cuts. Depending on the position of the hexagons, these turns are either doctrinaire (image 3) or jumbling (image 4).

The jumbling turns allow swapping kite/small triangle pairs with the larger triangular edge pieces. These turns break some of the restrictions caused by the ordinary doctrinaire turns, so probably a solve with jumbling is much harder than a non-jumbled scramble.

The puzzle's shape is a distorted variant of the "Elongated square dipyramid", the 15th Johnson solid.

Edge length: 37 mm
Weight: 65 grams

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