The following diagrams show constructions of boxes made with
the hexacubes. A and B are 2x3x56 boxes and C and D
are 2x3x27 boxes. Combining these gives solutions for the 2x3x166, 3x4x83 and
2x6x83. Also blocks C and D are made entirely from one set of
mirror image pieces and so A and B give solutions to 2x3x112,
2x6x56 and 3x4x56 problems for all boxes made with the set of 112 pieces when
only one of each mirror pair is used. This also gives a solution to a four-dimensional
2x2x3x56 hyperbox.