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A Gear Cube with eight geared edges replaced with four non-geared edges.
Shortly after the mass production of the Gear Cube, Oskar invented the Gear Cube Extreme to make the original puzzle more difficult. To achieve this he replaced four of the geared edges with edges without gears.
For the "Even Less Gears" puzzle, Oskar replaced another four gears. This variant can't be treated like a group easily because the gears can be moved into several different configurations. Which moves are possible and which not therefore depend on the permutation.
On the Gear Cube Extreme, this never changed when the non-geared-edge was considered fixed in space.
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