| 摘要 |
Six puzzles for constructing cube packings and for tiling sets of squares are composed of hierarchically structured sets of rectangular blocks of length and width equal to an integer multiple of the block thickness. For five of the puzzles, it is required that the blocks be arranged to pack a single cube. For two of these five, it is further required that a smaller cube, composed of a specified subset of the pieces, be concentrically nested in the interior of this cube. Included in the inventory of blocks for the sixth puzzle are two small cubes; it is required that the entire inventory of blocks be divided between two cube packings of the same overall size. The blocks of the invention may be used as recreational puzzles, as educational tools, for esthetic purposes, and for a variety of other uses.
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