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Suppose 27 identical cubes are glued together to form a cubical stack

  1. Jul 9, 2010 #1
    Suppose 27 identical cubes are glued together to form a cubical stack like a rubik’s cube (all cubes are of the same colour). If one of the small cubes is omitted, four distinct shapes are possible; one in which the omitted cube is at a corner of the stack, one in which it is at the middle of an edge of the stack, one in which it is at the middle of a side of the stack, and one in which it is at the core of the stack.

    The question: If two of the small cubes are omitted rather than just one, how many distinct shapes are possible?
     
  2. jcsd
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