Squashed Cube looks like a Rubik's Cube after being squeezed together in a vice. The six faces turn sort-of-like a Rubik's Cube, but in a very bandaged - jumbling - way. The middle slices are at an angle of 60 degrees from each other. This way, the hexagons in the center of each face can change position and orientation. This makes this puzzle very hard to solve.

Watch the original YouTube video.
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Read at the Shapeways Forum.
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Please contact Oskar directly if you are interested in obtaining a fully colored, stickered and assembled sample of this puzzle.