| Name |
Parts per Piece |
Number of Pieces |
Constructions |
Stacked Squares or Stacked Polyominoes
|
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
|
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. |