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Triamese Hill
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A Triamese 3x3x3 with additional cubies glued on resulting in overhang bandaging.

The inventor rebuilt the Triamese 3x3x3, three cubes connected by blocks of size 1x1x3. Unlike the original he placed it in a hill like state and added four pieces consisting of three cubies each. The result looks as if a void cube was fused into the middle cube. These additional cubies can result in overhang bandaging.
The inventor has not given this puzzle a name, so the moderator made up one.

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