Name | Parts per Piece | Number of Pieces | Constructions |

Stacked Squares or Stacked Polyominoes |
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Stacked Tetrominoes |
4 | 18 | boxes, prisms,rings and frames, replicas of hexacubes |

Stacked Pentominoes |
5 | 78 | are included in the pentomino section of my site |

Stacked Hexominoes |
6 | 477 | no boxes! Under checkerboard coloring we have an even number of balanced pieces and an odd number of 2-4 pieces. Therefore we can't get a balanced box with all pieces. |

Stacked Rectangles or Polyboxes |
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Tetraboxes |
4 | 32 | boxes, prisms with height 4 and 8, replicas of flat octarectangles |

Pentaboxes |
5 | 147 | a cube, 3 congruent boxes, 3 congrunet stairs, 7 congruent prisms |

Hexaboxes |
6 | 934 | no boxes! If we factorise the whole number of boxes we get 6*934 = 2*2*3*467. Each edge of a box containing all pieces must not be smaller than 6. Therefore a solution is impossible. |

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